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JA N U A R Y /F E B R U A R Y 1 9 9 6 ECONOMIC PERSPECTIVES S ta te -lo c a l business ta x a tio n and th e b e n e fits p rin c ip le S om e c o m m e n ts on th e role o f e c o n o m e tric s in e c o n o m ic th e o ry FEDERAL RESERVE OF CHICAGO Contents State-local business taxation and the benefits principle...........................................................................2 W illiam H. O akland and W illiam A. Testa This article advances the proposition that general business taxation should be structured to recover the costs of public services rendered to the business community. Estimates of one possible form of such a tax structure are offered for states of the Seventh District and for other U.S. regions. 1996 Bank Structure Conference announcement............................................................................................ 20 Some comments on the role of econometrics in economic theory........................................................................................ 2 2 M artin Eichenbaum The basic tension facing econometricians is that structural models are necessary for addressing monetary policy questions. But all models are, by their very nature, false. Econometric programs that focus on testing whether models are true will be ignored by practicing macroeconomists. The critical task facing econometricians is to develop diagnostic tools for assessing the usefulness of models for addressing particular questions. This article reviews two diagnostic strategies. ECONOMIC PERSPEC1 I\ ES January/February 1996 Volum e XX, Issue 1 President Michael H. Moskow Senior Vice President and Director of Research William C. Hunter ECONOMIC PERSPECTIVES is published by the Research Department of the Federal Reserve Bank of Chicago. The views expressed are the authors’ and do not necessarily reflect the views of the management of the Federal Reserve Bank. Single-copy subscriptions are available free of charge. Please send requests for single- and multiple-copy subscriptions, back issues, and address changes to the Public Information Center, Federal Reserve Bank of Chicago, P.O. Box 834, Chicago, Illinois 60690-0834, or telephone (312) 322-5111. Articles may be reprinted provided the source is credited and the Public Information Center is sent a copy of the published material. R esearch D e p a rtm e n t Financial Studies Douglas Evanoff, Assistant Vice President Macroeconomic Policy Charles Evans, Assistant Vice President Kenneth Kuttner, Assistant Vice President Microeconomic Policy Daniel Sullivan, Assistant Vice President Regional Programs William A. Testa, Assistant Vice President Adm inistration Anne Weaver, Manager Editor Helen O’D. Koshy Production Rita Molloy, Kathryn Moran, Yvonne Peeples, Roger Thryselius, Nancy Wellman ISSN 0164-0682 State-local business taxation and the benefits principle W illiam H. Oakland and W illiam A. Testa in recent years, interest in economic efficiency by causing the prices of state and local taxation of goods and services to reflect their full costs of business has been fueled by production. Such prices enable people to concerns over the possible make appropriate choices among consumer goods. Business benefits taxes similarly pro deleterious effects such taxes may have on economic development mote and, in appropriate choices between private and particular, on the ability of a jurisdiction to goods. Without recovery of the costs public provide jobs for its residents. Much of inkbusiness has services, voters may not support been spilled over whether or not fiscal factors otherwise worthy public services provided to have a significant effect on firm location deci business. Alternatively, the voting public and sions. However, without analyzing why busi their representatives may believe that business ness taxes are on the books in the first place, it taxes can be ratcheted skyward as a way to may be impossible to properly evaluate the subsidize those public services provided to impact of such taxes on business location. In households. this article, we advance the proposition that One objective of this article is to develop a general business taxation should be structured comprehensive framework for evaluating the so as to recover the costs of public services efficacy of state-local business tax structures. rendered to the business community. This framework will then be applied to existing Economic development may be but one practices within the U.S., with specific focus objective of tax policy. Other objectives, upon the Seventh Federal Reserve District, which encompasses Iowa and major portions of such as fairness, economic efficiency, and sound expenditure policy, are also important. Illinois, Indiana, Michigan, and Wisconsin. For example, a local community may want to We will argue that the primary basis for gener structure its taxes to discourage business ac al business taxation is to recover the costs of tivities which produce noxious side effects; government services rendered to the business state government may wish to restrict busi community. It follows that if general busi ness activity in such a way as to promote ness taxes exceed or fall short of the cost of monopoly power of home enterprise(s) serv ing an out-of-state clientele. Even in the W illiam H. Oakland is a professor o f econom ics at Tulane U niversity. W illia m A. Testa is assistant absence of such motives for growth controls, vice president at the Federal Reserve Bank of business taxation may be desirable to recover Chicago. The excellent research assistance of the cost of government services provided to Jam es Greco is g ra te fu lly acknow ledged. The authors also thank the Federal Reserve Bank of businesses within a jurisdiction. Not only Chicago lib ra ry staff, past and present. Helpful does this promote fairness, by recouping the com m ents were con tribu te d by Richard M attoon, costs of such services from those who ulti Federal Reserve Bank o f Chicago, and Thom as Pogue, U n iversity of Iowa. mately benefit from them, it also enhances f 2 ECONOMIC PERSPECTIVES taxes, the incidence of particular taxes con providing government services to business, tributes little to a useful definition of business the business tax structure is not neutral with taxes. respect to the location of business activity in Our approach is to define business taxes to general. Furthermore, it will not be neutral include any levy upon a firm’s purchase of with respect to consumption patterns for con inputs, its transfer or ownership of assets, its sumer goods and the composition of spending earnings, or its right to do business—in short, on private goods and public goods. any levy which would, in the absence of price It should be emphasized that, even where adjustments, reduce the firm’s bottom line. there is correspondence between business taxa Included in this definition are corporate profits tion and business expenditures, there may taxes; real and personal property taxes on busi remain non-neutral location incentives for ness assets; franchise taxes and business license specific firms. This will be the case if the fees; sales and use taxes and gross receipts taxes business tax structure is not neutral across firm upon a firm's purchase of equipment, services, types or if there are wide disparities among firm types in terms of service benefits received and materials; and those payroll taxes for which the firm is the statutory taxpayer. from government. In effect, what is true on By this definition, business taxes can be average may not be true for particular firms. seen to produce a prodigious flow of revenue These issues should be considered when de to state and local governments. Table 1 shows signing the optimal business tax structure. We begin by providing a framework under revenues for fiscal year 1992 by category of tax and in total for the U.S. Business taxes which businesses might be taxed to optimal accounted for 28.9 percent of all state-local tax effect. Following definition and measurement revenue, amounting to approximately $160 of current state-local business taxation, we billion. Among the categories, property taxes discuss alternative business tax structures. were the most significant single item, account Among these alternatives, the benefits princi ing for 42.8 percent of business taxes. Corpo ple is identified as the best by far. Turning to rate income taxes, general sales taxes, and the specifics of how to implement the benefits payroll taxes (that is, unemployment insur principle, today’s practices are held up against ance) each accounted for a sizable share. the theoretical standard that business tax reve nues should roughly cover direct public service costs. In the final T A B LE 1 section, we suggest how stateState & local business taxes in the United States, 1992 local government might lower taxation of business by levying Percent of Percent of to ta l uniform tax rates on a broad-based Total business state-local taxes measure of business activity— $68,644 12.4 Property 42.8 value added. Sales $23,151 14.4 4.2 A fram ew ork fo r business taxation Unem ploym ent insurance $15,489 9.6 2.8 Definitions Corporate income $21,937 13.7 3.9 Insurance $4,043 2.5 0.7 Utility $7,397 4.6 1.3 M otor fuel $9,165 5.7 1.6 $10,687 6.7 1.9 Total business taxes $160,514 100.0 28.9 Total taxes $555,479 — Business taxes are not easy to define. Many business taxes are shifted from the legal or statutory taxpayer to other entities. Taxshifting mechanisms are frequent ly subtle and indirect; as a result, theories of tax incidence are some times controversial. Furthermore, because only individuals, in their capacities as consumers, workers, entrepreneurs, or suppliers of land and capital, can bear the burden of FEDERAL RESERVE BANK OF CHICAGO Other3 - aO ther taxes include occupational and business license taxes and selective sales taxes. Source: S taff calcula tions based on data reported by the U.S. D epartm ent o f C om m erce, Bureau o f the Census, G overm ents D ivision and in d iv id u a l state fiscal agencies. 3 Together, these four categories accounted for more than 79 percent of all business taxes. Excluded from our definition, for the most part, are general and selective sales taxes on items purchased by consumers; it is expected that such taxes are shifted to the purchaser.1 However, if the buyer is a business enterprise, the tax payment will have been captured by our definition above. We also exclude personal income tax lia bilities upon the profits of unincorporated enterprises. While one might expect that prof its taxes would be treated independently of the legal form of organization, that is not the case. Corporate income tax is an added layer of business tax; dividends and capital gains of firms that pay corporate income tax are also subject to personal income tax. Personal in come tax applies to the returns of all capital investments made by an individual, including those arising from business ownership. Thus, if the individual proprietor failed to engage in business within the state, the assets would have been invested in other pursuits and subject to personal income tax. The only persuasive case for including such taxes as business taxes re lates to those proprietors with out-of-state residences. For such individuals, personal income taxes paid to the host state are costs of doing business, which must be compared with costs existing elsewhere. Fortunately, howev er, the vast majority of unincorporated enter prises are owned by residents.2 Rationale fo r general business taxes The widespread use of business taxes today does not in itself imply that their level and structure are in accord with the principles of good taxation.3 In this section, we discuss the rationale for business taxation. Our discus sion will be confined to those taxes which are imposed upon business enterprises in general, or on a large subset of business firms, such as corporations. Taxes upon specific activities, such as mineral extraction or chemical produc tion, are not considered. Presumably, the ob jective of such taxes is to correct for externali ties, such as environmental damage, or to cap ture benefits of natural resources for the citi zenry as a whole. The rationale for such taxes does not apply to the argument for general business taxation. There may be a good case for specific business taxes to control for envi ronmental damage or to capture some of the 4 rents associated with a state’s unique resourc es, such as mineral wealth or favorable loca tion. Such taxes should be considered as sup plements to the general business taxes that we treat below.4 A number of possible motives for statelocal taxation have been suggested or can be inferred from current practice. These include ability to pay, tax exporting, political expedi ency, and the benefits principle. Each was analyzed by Oakland (1992). Only the bene fits principle was shown to survive scrutiny. Most other motives were seen to be unattain able or based upon flawed economic reason ing. Only the three most compelling types of rationale will be treated here. The first two may account for the widespread use of busi ness taxation. The third is prescriptive—how business should be taxed. Ease o f raising revenue Business taxation offers governments the opportunity to collect large sums of revenue from relatively few taxpayers. In addition, because the incidence of business taxes is often uncertain, it may encounter relatively little political opposition. Many taxpayers may perceive that such taxes are paid out of the “deep pockets” of rich corporations and/or absentee rich shareholders. Others may not hold that opinion, but would vigorously oppose attempts to raise their personal taxes; in effect, business taxation may appear to public offi cials to be the only course available. While ease of collection is a valid criterion for tax policy, particularly in less-developed economies, advances in tax administration have enabled governments in advanced econo mies to collect personal taxes at acceptable compliance costs.5 Hence, collection costs cannot serve as a principal criterion for the choice of tax structure. As far as reducing citizen opposition to higher personal taxes is concerned, this is more properly viewed as a serious disadvantage of business taxes. Good tax policy should confront citizen-taxpayers with the true costs of providing public services. If citizens consistently underestimate these costs, they will support too large a range and level of public services.6 Viewed in this light, general business taxation has the potential to do serious economic damage and should, there fore, be discouraged. ECONOMIC PERSPECTIVES To export the tax burden A common rationale for business taxation is that it extends the reach of the taxing juris diction to residents of other jurisdictions. We offer as evidence the increasingly dispropor tionate weighting of sales in allocation formu las to determine the state share of the profits of multistate or multinational corporations when levying corporate income tax.7 We find further evidence in the rapid spread of legalized gam bling activity, apparently prompted by the desire to attract out-of-state gamblers.8 Whether it be through taxing the profits of out-of-state shareholders, taxing out-of-state consumers of goods produced locally, or taxing the income of out-of-state landholders, busi ness taxation may be viewed as a means of transferring some of the costs of local govern ment to residents of other jurisdictions. While this may be legitimate if the activity is limited to recovering costs of government services extended to such “foreigners,” there is no rea son to suppose that the practice would be so limited.9 The prospect of a “free lunch" has irresistible political appeal. However, like most free lunches, the bene fit is more illusion than reality. The opportuni ties for successful tax exporting are quite limit ed, and those that exist can be more successfully exploited by finer instruments than general business taxes. For example, consider the dis proportionate use of sales factor by consuming states. The resultant higher taxes increase the cost of selling in the taxing state; this prompts a price increase so that the firm can receive the same net revenue as from selling the item in some other market. In general, the ability to export taxes is restricted to situations where the state has some competitive advantage, owing to superior or unique natural resources. Here the state can successfully capture the “rent” of these resources through taxation. However, the ap propriate tax is not one on all businesses but a selective tax on the resource itself (for example, a severance tax) or on a product that uses the resource (for example, a tax on hotels). Hence, the case for general business taxation cannot be based upon tax exportation.10 To recoup the costs o f public services Government provides the business com munity with a legal framework for conducting its affairs, through its civil court system. It also offers direct services to businesses and FEDERAL RESERVE BANK OF CHICAGO their employees, such as transportation and public safety. These services make it possible for the firm to produce more efficiently, allow ing for lower prices and/or higher wages and profits. Business taxation allows those who benefit from these services, whether within or outside the jurisdiction, to contribute to their costs. It also has the salutary effect of lower ing the taxes to citizen-taxpayers, enabling them to make a more accurate assessment of the true costs of public services rendered di rectly to them and to the business community.11 In such circumstances, business taxation promotes the benefits approach to taxation. Without business taxation, this approach would be difficult, if not impossible, to adopt. For example, if the beneficiaries of business servic es are out-of-state individuals or business enti ties, the home state simply has no means of taxing them directly. On the other hand, if the beneficiaries are home-state residents, the state would have to know how the services translat ed into lower goods prices or higher wages and profits—an insurmountable task. By taxing business directly for services received, such computations are unnecessary, and ultimate beneficiaries would be taxed in proportion to the costs incurred by the government sector. The benefits principle has particular rele vance for state and local tax structures. Its rival criterion, the ability-to-pay principle, is difficult to implement at these levels of gov ernment because of mobility limitations. For household service provision and taxation, the well-to-do tend to flee from jurisdictions with punitive tax burdens. Mobility becomes a more compelling issue for businesses and may play an important role in economic develop ment. In contrast, business taxes which con form to the benefits principle will be neutral with respect to economic development. They place the jurisdiction at neither a competitive advantage nor disadvantage per se.12 Can the benefits principle be implemented? The merits of the benefits approach to business taxation have been noted in the tax literature. However, many analysts have ques tioned whether it can be implemented (ACIR 1978). These analysts argue that because most government services are provided to businesses free of charge, there is no objective measure of use by different business entities; ergo, the benefits principle cannot be implemented. 5 The major premise that business utilization rates of government services cannot be finely measured must go unchallenged. However, it does not follow that relative business utilization rates cannot be approximated. It surely is the case that within a broad industry grouping, for example, the finance, insurance, and real estate industry or manufacturing, larger firms utilize more services than smaller firms. Even among disparate industry groups, it is also likely that government services arising from employment are more heavily used by large employers than small ones. So business size is a likely impor tant correlate of business service costs. Using size as the sole measure of relative service benefits would undoubtedly be subject to error. However, the degree of error in rela tive treatment would be far less than that of a policy which charged business nothing for government services. A tax based upon size would eliminate the relative subsidy to large firms. Moreover, the failure to charge business taxes would distort the price facing citizens for their public consumption goods. To get this price right, business taxes in the aggregate should equal the cost of providing business services. Therefore, we believe there is merit in business benefits taxation on the average. While there will remain errors and distortions in the resulting pattern of business taxation, these errors will be smaller than if no tax at all were imposed. In the absence of any other sound basis for business taxation, it follows that the imposition of size-related business taxes is the appropriate policy prescription. The case fo r business taxation On the plus side, business taxes can be used to promote the principle of benefits taxa tion, which places the burden of taxation on those who enjoy the ultimate benefits of certain public services, and at the same time neither penalizes nor subsidizes economic develop ment. On the negative side, because it may not be perceived as a cost to the citizen-taxpayer, business taxation may be pushed to excessive levels, encouraging wasteful expansion of publicly provided consumption services and leading to a diminution of job opportunities within a jurisdiction. Given that political expe diency may prevail over economic efficiency, one might expect general business taxation to be carried to levels beyond that suggested by the benefits approach. In the empirical work to 6 follow, this hypothesis will be examined in the Seventh District and in other regions. In addi tion, we measure how state-local governments might maintain the current level of business tax collections by levying taxes as a uniform per centage of value added. Busine ss taxes and business expenditures Taxes Businesses are taxed by both local and state governments. While authority for partic ular tax bases varies from state to state, gener ally speaking local governments rely primarily on the property tax for funding, while state governments generally collect sales taxes and corporate income taxes, as well as the bulk of tax revenues on insurance premiums, motor fuel sales, and the gross receipts of public utilities. In the Seventh District states, corpo rate income taxes, unemployment compensa tion, and insurance premiums are major busi ness taxes which are exclusively collected for state government operations; taxes on general sales, public utility gross receipts, and motor fuel are levied at the state level and, to a lesser degree, at the local level. The property tax has been, in recent decades, almost exclusively a local tax source. Drawing from data collected by the Bu reau of the Census and from state fiscal author ities, business tax revenues at both the state and local levels can be distinguished from tax revenues from the household sector. Corporate income tax revenues and business license taxes can be wholly allocated to the business sector. In all other instances, the business and house hold sectors are taxed under the same statutes. For example, state sales taxes are imposed on the final retail purchases of households and on certain intermediate purchases made by busi nesses. Accordingly, revenues must be par celed between the household sector and the business sector for major revenue sources, which include the general sales tax, public utility gross receipts, insurance premiums, motor fuel, and property tax. According to studies of business taxes for states and regions of the United States, busi ness taxes declined from 42 percent of total state-local tax collection in 1957 to 29 percent in 1992 (ACIR 1967, 1981; Tannenwald 1993) (figure 1). The declining share of taxes attrib uted to business largely reflects the rising ECONOMIC PERSPECTIVES FIGURE 1 Business’ share of taxes in the U.S. percent Source: ACIR (1981), appendix. dominance of personal income taxation by states over the past 25 years, rather than any marked slowing in the pace of business tax collections. The rise in personal income taxa tion corresponds to the growing share of public services provided to households by state-local government—especially health and education. Variation in the dependence on business taxes (as most commonly defined) in 1992 among regions, as defined by the U.S. Bureau of Economic Analysis, lies within a fairly narrow band. When we update this methodolo gy, originally developed by the U.S. Advisory Commission on Intergovernmental Relations (ACIR), for the 1992 fiscal year, we find that in the Great Lakes region (that is, Illinois, Indiana, Michigan, Ohio, and Wis consin), business taxes comprise 29.0 percent of state-local taxes, compared with 30.7 percent in the U.S. The Southwest leads with 41.3 percent, because of its heavy use of state severance taxes on energy minerals. All other regions lie within 3 percentage points of the national average (figure 2).13 In measuring business taxes for the states of the Seventh District, we differ from much of the literature in both definition and methodology. We exclude from our business tax definition selective excise taxes, such as severance or lodging taxes, FEDERAL RESERVE BANK OF CHICAGO because they are often targeted to a specific industry, indicating to us that the intent of the tax is other than to cover the government ex pense of providing business services. Perhaps these selective taxes are intended to compensate for environmental damage or to expropriate the income on assets of out-of-state owners. Some taxes that we do include may appear to be selective, such as insurance premiums, public utility gross receipts, and motor fuel tax. We include these because they are applied to a wide spectrum of each state’s business sector and can, therefore, be considered a tax on in termediate inputs to business production. For these revenue sources, some care must be taken to apportion tax revenues accurately to the business sector rather than to the government and household sectors. So too, following De Boer (1992) and Oakland (1992), data provid ed by state fiscal agencies can often be grouped more finely than nationally reported data for important hybrid taxes such as the property tax. Data collected nationally by federal agen cies must understandably compromise some detail in exchange for a broad reporting of data.14 (See appendix for methodology.) In reviewing our business tax measure ments, property tax collections dominate business tax collections in states of the Dis trict (figure 3).15 An estimated 47 percent of 1992 business tax collections were derived from this revenue source. Corporate income (17.2 percent), unemployment compensation 7 FIGURE 3 Distribution of business taxes, 1992 u.s. Seventh District Motor fuel (5.7%) Other (6.7%) Public utilities" (4.6%) | Insurance (2.5%) Source: Staff calculations based on data provided by state fiscal agencies and U.S. Department of Commerce, Bureau of the Census, Governments Division. (11.4 percent), and the state sales tax portion collected on intermediate purchases by the business sector (11.6 percent) also represent major business taxes. While we have chosen to define business taxes by their broad-based application to the business sector, there is at least one noteworthy imbalance in the business tax structure which suggests a lack of evenness and neutrality across types of businesses. Specifically, a heavy share of state-local business taxes in the Seventh District and in the nation is initially imposed on business capital by way of proper ty tax and state corporate income tax. Such a system may skew any burden of taxation to ward goods-producing industries and away from the service-producing industries which tend to employ more labor than capital. Heavy state taxation of public utility inputs and sales taxation of tangible inputs to production would only tend to aggravate such an imbalance. We and others have long noted other im balances in the structure of state-local business tax systems (ACIR 1978; Stocker 1972). The taxation of profits (within corporate net income tax) would seem to penalize exactly those (profitable) firms that may have desirable pros pects for rapid growth and development.16 Another imbalance may involve the unemploy ment insurance system, which frequently taxes new firms (having no employment history) at a 8 very high rate. Many such firms tend to be labor intensive, small, and innovative. Expenditures Expenditures by function for state-local governments are reported annually by the Gov ernments Division of the Bureau of the Census, U.S. Department of Commerce. Total direct expenditures by function include all payments to employees, suppliers, contractors, beneficia ries, and all other final recipients of govern ment payments. Intergovernmental expendi tures—payments and grants between state and local governments—are excluded. Such ex penditures become expenditures of those gov ernments where the funds come to rest. Since we are interested only in those expenditures made by state-local government, federal grant monies by function are netted out of these same functional expenditures. Similarly, reve nues derived from user charges and fees (such as college tuition and roadway tolls) are netted out of appropriate expenditures made by statelocal government. The remainder represents those direct expenditures by function that are funded by state-local own-source tax revenues. In allocating state-local spending to the Seventh District’s business sector, we classify expenditure programs into business, household, prorated, and joint (shared). “Business” pro grams are identified as dedicated solely to ECONOMIC PERSPECTIVES FIGURE 4 Distribution of state and local expenditures, 1992 U.S. Seventh District Source: Staff calculations based on data provided by state fiscal agencies and U.S. Department of Commerce, Bureau of the Census, Governments Division. business, for example, agricultural programs and water transportation terminals. These are estimated at less than 1 percent of total statelocal direct expenditures in 1992 for the Seventh District states as a whole (see figure 4). In contrast, “household” expenditures comprise 62.5 percent overall, and are assumed to benefit households only, for example, education, wel fare, health, parks and recreation, and housing. “Prorated” programs include “overhead” functions, such as general public buildings, legislative and financial administration. These expenditures are allocated to the business sec tor proportionately, based on the share of busi ness expenditures to the total of business plus household expenditures. For the Seventh Dis trict, we find that prorated business expendi tures account for 2.0 percent, in comparison to the 12.8 percent share commanded by the household sector. Finally, “joint” or shared expenditures are perhaps the most difficult to allocate between the business and the household sectors, because of the broad categories into which state-local expenditure data are classified. We choose to liberally allocate shared expenditures to the business sector. Accordingly, these programs, which include police and fire, corrections, and transportation, are assumed to be shared equal ly between the business and household sectors, FEDERAL RESERVE BANK OF CHICAGO so that each sector commands 10.9 percent of state-local direct expenditure. All told, public spending that can be classified as an intermedi ate input to business production amounts to 13.8 percent of the total. The large remaining share of state-local spending attributable to the household sector may seem disproportionate to some observers. While state-local government does provide essential business services, such as transporta tion infrastructure and protection of business property, its role has increasingly come to focus on welfare and education. From 1950 to 1992, the share of state-local government’s direct general expenditure on education and social welfare (including health and hospitals) climbed from 44.4 percent to 58.9 percent. (Other services such as police, fire, transporta tion, and general administration are shared by the household sector.) While the business sector arguably benefits indirectly from such services, the direct benefits mainly accrue to households. To the extent that these services raise labor productivity, businesses will pay for higher productivity through wages paid to the household sector. More to the point, our inten tion here is to measure those expenditures and taxes directly accruing to business and directly paid by business. To the extent that general business expenditures are in alignment with 9 Rather, the finding that general business tax collections tend to exceed expenditures suggests the need for further study, using individual state and local fiscal reporting systems that more finely distinguish business from household service expenditures. Based on the 1992 data, states in every Census region appear to have taxed business in excess of direct business service expenditures (table 2). For fiscal 1992, state-local general business taxes in the U.S. ex ceeded expenditures by 70 per cent, on average. Nonetheless, across the nine Census regions, the aggregate ratio of taxes to expenditures lies with a fairly tight band, ranging from 1.45 in the South Atlantic region to a high of 2.08 for the West South Central states. The Seventh District average of 1.87 is close to the national average. general taxes paid by business, it can be argued that the price signals between the voting public and its government sector are not distorted, so that the correct degree of both business servic Tax stru c tu re : Which business taxes es and household services will be chosen by to employ? public decisionmakers. It is important to think about the combined Even with somewhat generous assump effects of all general business taxes employed. tions about the direct benefits of shared expen It may well be that any particular tax is too diture programs, figure 5 suggests that in the narrow in application but that, in combination Seventh District states overall and in each state with some other tax, it provides a suitably individually business taxes exceed business expenditures by healthy propor tions. In fiscal year 1992, business TABLE 2 taxes in the District states overall State and local business taxes and expenditures, 1992 exceeded expenditures almost two fold. This indicates that, taking the Business Ratio of taxes Region expenditures Taxes to expenditures benefits principle approach, discus sions of tax reform should be di (- -millions of dollars— ) rected toward bringing business U.S. $160,514 $94,136 1.71 taxation and business expenditures New England $9,022 5,076 1.78 into closer alignment. M id-Atlantic 16,762 29,899 1.78 Given the approximate nature East North Central 15,077 1.84 27,781 West North Central 6,228 $9,843 1.58 of our calculations, especially in South Atlantic 15,735 22,837 1.45 classifying expenditures on public East South Central 4,290 6,768 1.58 services to businesses versus West South Central 8,589 17,909 2.08 households, individual states have Mountain 5,471 8,169 1.49 no reason to be alarmed about Pacific 16,906 28,285 1.67 competitive harm vis a vis neigh Seventh District 12,760 23,816 1.87 boring district states due to excess taxation. Expenditure classifica Source: Staff calculations based on data reported by the U.S. Department of Commerce, Bureau of the Census, tions as reported by the Census Governments Division and individual state fiscal agencies. Bureau are necessarily broad. 10 ECONOMIC PERSPECTIVES broad basis of business taxation. It is also clear from the above discussion, that any ac ceptable system must meet the test of compre hensiveness. The business tax system should reach all segments of the business community. This would rule out taxes such as the state corporation income tax, because there is no countervailing tax that would apply exclusively or mainly to unincorporated private sector enterprises or to nonprofit business enterprises, which do not earn taxable income. Given that business benefits taxes should be size-related, what measures of size can be used? Here are two possibilities: (1) amounts of spe cific inputs; (2) amounts of output. It is possible to assess tax liabilities in accordance with labor inputs, capital inputs, or material inputs. The latter is unacceptable, given the widespread use of materials produced outside the jurisdiction. While labor or capital taxes would apply to all business entities, to focus on one or the other would induce the firm to move away from the taxed input to the non-taxed. It also would tend to favor or punish firms with differing degrees of capital intensity. In general, there is no rea son to believe that capital-intensive firms con sume more public services than labor-intensive firms. For some services, say fire protection, capital may be a preferred indicator. While for others, such as police protection, employment measures may be preferable. Since neither measure is a superior benefit indicator, avoidance of substitution distortions and inequities is enhanced by a system which utilizes both measures. This raises the question of weights. One attractive weighting scheme would utilize input earnings; this is tantamount to an origin-based value-added tax. The out come could be approximated by a combination of property taxes and payroll taxes. The quali ty of the approximation would, of course, de pend upon the relative use of the two taxes. The use of outputs as measures of business services leads to similar conclusions. Basical ly, there are two possible measures: gross re ceipts and value added. Gross receipts are an unacceptable measure for the same reason that materials are an unacceptable indicator of input—they include a major component of materials produced outside the district. Gross receipts taxation would also tend to be pyra mided to the extent that materials flow from one producer to another within a jurisdiction. Hence, we are left with value added as our FEDERAL RESERVE BANK OF CHICAGO output indicator of firm size. Since value add ed also serves as an adequate measure of input use, it would seem to be the best candidate for allocating the cost of business services. The administrative costs of levying busi ness taxes according to value added by origin are not formidable for most industries. Michi gan has been imposing a form of value-added tax since 1975.17 Value added can be derived for each firm by summing its payments for factors of production, including payroll, inter est paid, capital consumption, rents, and prof its. Alternatively, value added can be derived by subtracting firm purchases of intermediate components and services from gross receipts. Either way, the tax base would reflect the de gree of productive activities within the state, it would be largely neutral with respect to capital/labor proportions, and it would be neutral with respect to industry and legal form of busi ness organization. The viability of subnational value-added taxation is best illustrated by the relative ease with which a rough approximation of the state tax rates needed to raise revenue can be pre sented.18 The Bureau of Economic Analysis (BEA) publishes annual estimates (by industry) of value added.19 Taking our estimates of FY1992 business tax collections as a numera tor, and BEA value added for the nongovern ment sector as a denominator, we produce the uniform ad valorem tax rates necessary to raise equivalent business tax revenues in District states (table 3). These figures show that a business tax rate running between 1.5 percent and 2.5 percent of value added would generate the revenue equivalent of all state-local busi ness taxes, based on data for 1992. These rates are low compared with the statutory rates now on the books for taxing corporate income, gross receipts, sales on inter mediate inputs, and the like. These low rates reflect the much broader basis of taxation im plied by using value added as a tax base. Us ing value added would go a long away toward avoiding the skewness of the present system of state-local business taxation which tends to assess many service firms lightly (even though the service sector has become a much larger share of nominal output). We would expect these low rates to miti gate state-local concerns over competitive fiscal disadvantages arising for certain capitalintensive industrial sectors. Remaining rate 11 Also, they focus almost exclu sively on taxes on business capital Taxes as a percentage of nongovernment and profits taxes, overlooking gross state product important differentials in taxes Hypothetical Current paid by business firms on their Region business taxes business taxes intermediate purchases and on their payroll. 3.1% 1.8% U.S. By incorporating all taxes New England 2.9 1.6 3.4 1.9 M id-Atlantic directly affecting business and 3.2 1.7 East North Central taking into account the costs of West North Central 2.8 1.8 government services offered to 2.7 1.9 South Atlantic the business community, our 2.5 1.6 East South Central approach offers a more compre 1.6 West South Central 3.3 hensive measure of the business M ountain 3.1 2.1 tax climate. It also enables us to 1.9 Pacific 3.1 detect important disparities in the 3.4 business tax base. While it is true Seventh District 1.8 Illinois 3.6 1.8 that other properties of a state’s 2.9 Indiana 1.3 fiscal system, such as personal 3.5 2.2 Iowa taxes and expenditure on educa Michigan 3.3 1.8 tion, may influence business W isconsin 3.2 2.3 profitability, without a complex general equilibrium model, such Note: Gross state product (GSP) is net of government GSP. Source: Staff calculations based on data provided by the effects are difficult to quantify. U.S. Department of Commerce, Bureau of the Census, The absence of such a complete Governments Division and state fiscal agencies. model also rules out the accurate assessment of the marginal fiscal climate. Given these limitations, the best we differences would become smaller as the tax can do is compare the average fiscal climate of burden is spread over more industries. The tax competing states. rates would need to be cut in half if the stateBecause of their relative simplicity and local sector were to bring business expendi transparency, our measures offer a useful alter tures into line with public expenditures directly native to complex cost-of-capital models for benefiting the business sector. More impor tax analysts in state capitols, whose job it is to tantly, remaining tax rate differences would enlighten legislators on the possible conse come to reflect differing public service needs quences of alternative business tax policies. among states as reflected by industry mix. With regard to competitive tax climates in Remaining tax rate differences might also particular, firms may prefer regions that offer a reflect different regional approaches to devel level and mix of business services for which opment policy as some states and local com the business community pays a proportionate munities, perhaps acting in partnership with price and where household expenditures are their business communities, choose to offer not subsidized by general business taxes. Tax differing levels, mix, and delivery of public ing business in line with business services can inputs to private production. also help the voting public choose the best Conclusion levels and mix of publicly provided goods and It should be acknowledged that our ap services. Voters and their elected representa proach to business location neutrality departs tives will be able to perceive the accurate price sharply from the rate-of-return approach in signals for these goods. A dynamic dialogue recent studies of state business tax climates.20 between the business community and govern These studies examine how the financial re ment services providers can develop which turns on investment are influenced by state and can, in turn, stimulate income creation or quali local tax structures. As such, they inherently ty of life improvements in those regions that deny the value of government services that choose to follow the benefits principle. may accrue to businesses at different sites. 12 TABLE 3 ECONOMIC PERSPECTIVES APPENDIX Methodology fo r business taxes and expenditures Taxes Unemployment insurance tax—Taxes are im posed by both the federal and state governments on the basis of payroll of those workers covered by unemployment insurance. We report state collections only, as reported by the Governments Division, Bureau of the Census, U.S Department of Commerce. General sales tax collected from business— The hybrid nature of the sales tax as consumerbusiness tax presents formidable obstacles in distin guishing the business sector’s share of revenues from that of consumers. State revenue departments typically report data by type of store or vendor from which the sale takes place, with no informa tion about the buyer. The existence and variety of exemptions and partial exemptions for business purchases further complicates the matter, as does the varying exemption and coverage of certain consumer items, such as food, clothing, and pre scription drugs.1 One estimation method has been to survey vendors within a state as to their thoughts on who purchases their taxable sales (Fryman 1969; ACIR 1981). Another method applies sales tax rates to government-reported data of consumer expendi tures; the residual represents an estimate of busi ness and tourist payments of the sales tax (Ring 1989; Blume 1983). Other studies use interindustry relationships, perhaps as reported in input-output models, to estimate the volume of business pur chases subject to states sales taxation (DeBoer 1992; KPMG Policy Economics Group 1993), while other estimates are derived from reported collections by type of vendor (DeBoer 1992; Oak land 1992). Our estimates take a decidedly conservative approach, based on the Fryman and ACIR esti mates. We adjust and update those earlier esti mates by examining changes in tax-base coverage that have occurred over time. For these changes, the business share of the sales tax intake is adjusted by regression elasticities, which capture the sensi tivity of sales tax revenues to specific tax exemp tions, such as that on industrial machinery and equipment in Illinois during the 1980s. Estimates of the business sector’s share of state sales tax revenue collections are applied to Census Bureau figures of general sales tax collections at the state-local level for fiscal 1991-92 to arrive at esti mates of sales tax paid by businesses. By our esti mates, the sales tax comprised 14.4 percent of statelocal business taxes in the U.S. in fiscal year 1992. The corresponding share in the Seventh District lies close to this estimate at 11.6 percent, with Indiana’s 20.2 percent share being the highest among District FEDERAL RESERVE BANK OF CHICAGO states. Michigan’s relatively low 7.8 percent share for 1992 has increased since that year; Michigan raised its state sales tax from 4 percent to 6 percent in 1994. Corporate income tax—These collection figures are reported by the Census Bureau for fiscal 199192 and, within the Seventh District, all collections derive from state taxes. Michigan imposes its single business tax on the business activity or value added of businesses operating within the state, rather than on corporate net income. Indiana is one of only three states in the nation that taxes gross receipts of corporations rather than net income. The Indiana tax is levied on the greater of tax due from gross receipts or an alternative tax on corporate net income. In some 22 states, taxes are also levied on capital stock or net worth, and then sometimes under a corporate franchise tax. Illinois imposes corporate levies on capital stock or net worth, which may be termed corporate franchise taxes. Property tax—Beginning with a 1963 study, the U.S. Advisory Commission on Intergovernmental Relations began estimating property taxes paid by commercial, industrial, and agricultural enterprises. These estimates are based on tables of assessment and collection values reported at five-year intervals by the Census o f Governments. We depart from that practice and instead use property tax collections as reported by individual state fiscal agencies for business classes of property in the Seventh District. For Michigan only, such collections by class must be estimated. Taxation of real property is predominantly im posed by local governments rather than by state governments. Because tax rates are usually applied in an even fashion to classes of property, and be cause business property comprises a substantial portion of real estate, a sizable share of the local property tax falls on business property.2 The gross assessed value of commercial, industrial, and acre age combine to account for one-third of all value (commercial and industrial combined account for one-fourth).3 The practice of taxing personal property (non realty tangible property) of business firms can also be a great concern for those firms making heavy use of industrial machinery and equipment, and firms that own significant stocks of tangible inventory. Over time, most states have moved toward exempt ing tangible personal property of both firms and households, as Illinois did across the board in 1979.4 Most district states liberally exempt business person al property or are moving in that direction. Business licenses and fees—We follow the ACIR practice of including fees and taxes imposed on the right to do business, at the state or local level. These data are collected and grouped by the Gov ernments Division of the Bureau of the Census. 13 Taxes on broad-based inputs to production—We exclude selective taxes such as those levied on tobacco, alcohol, and amusement. Presumably, these are intended to be shifted forward to consum ers, or their taxation is intended to discourage the activity rather than to act as a broad-based payment for government services rendered. Likewise, taxes on specific industries, such as motel/hotel or sever ance taxes, are not broad-based business taxes but are intended to discourage or compensate for dam ages imposed on the state or local community. In contrast, we do include the following selective sales taxation of items which are broadly purchased as intermediate inputs by the business community: Insurance—Most states tax the premiums on insurance sold in the state. Since businesses broadly purchase insurance, we estimate the business sector’s share of such purchases in allocating total insurance premium tax collec tions. The sector’s share is calculated for re ported premiums sold by in-state companies to other businesses in each of the respective states. Such estimates are provided courtesy of the Regional Economics Applications Laboratory, which is a joint venture between the Federal Reserve Bank of Chicago and the University of Illinois at Urbana-Champaign. We average the latter estimates with groupings of insurance premiums sold by type for each state, making reasonable assumptions concerning likely types of insurance purchased by the business sector versus the household sector. In contrast, ACIR estimates typically include total insurance pre miums, including those sold to households. Motor fuels taxes—Following DeBoer (1992), we estimate motor fuel purchases by the business sector as opposed to households in allocating revenues collected. These data are collected and grouped by the Governments Division of the Bureau of the Census. Public utility gross receipts taxes—The busi ness portion of revenues is allocated using data on investor-owned public utilities. The Statistical Yearbook o f the Electric Utility Industry reports gross receipts derived by sector, household ver sus commercial and industrial sector. These data are collected and grouped by the Governments Division of the Bureau of the Census. state and local—are excluded. Such expenditures become expenditures of those governments where the funds come to rest. Since we are interested only in those expenditures made by state-local government, federal grant monies by function are netted out of these same functional expenditures. Similarly, revenues derived from user charges and fees (such as college tuition and roadway tolls) are netted out of appropriate expenditures made by state-local government. The remainder represents those direct expenditures by function that are fund ed by state-local own-source tax revenues. Two categories of expenditures must be allocat ed. “Shared” expenditures are those for which little information on benefits to business versus house holds are available, for example, police, fire, tran sit, sewerage, sanitation, and parking. For these, a liberal 50 percent is allocated to the business sector. Those expenditures representing general gov ernment overhead, such as all financial administra tion services, all general public buildings, all other miscellaneous government, interest on general debt, all legislative, and other-unallocable, are assigned to the business sector on a prorated basis. The proration reflects the share of business expendi tures, plus shared business expenditures to total direct expenditures (net of prorated expenditures). Other categories of spending are allocated di rectly to the business or to the household sector.*234 'For state-by-state coverage of consumer items in the sales tax base, see ACIR (1994). 2The practices under which tax rates and/or property assessment ratios vary by type of property is called classi fication. Only a handful of states authorize classification. Among the five district states, classification is authorized only for Cook County, Illinois. There, commercial and industrial property is assessed at a rate more than double that for single-family residential properties. Of course, there are many selective tax abatements that can be applied (usually on commercial properties) at the discretion of local governments (which may be acting on economic development concerns). So too, state property tax systems often contain “circuit breakers” and “exemp tions,” which exclude assessed value or offer tax reduc tions to classes of residential taxpayers, such as the elder ly, the poor, or veterans. See ACIR, ibid. Expenditures 3See table 4, U.S. Department of Commerce, Bureau of the Census (1987). Expenditures by function are reported annually by the Governments Division of the Bureau of the Census, U.S. Department of Commerce. Total direct expenditures by function include all pay ments to employees, suppliers, contractors, benefi ciaries, and all other final recipients of government payments. Intergovernmental expenditures— payments and grants to other governments between 4U.S. Department of Commerce, Bureau of the Census (1988) reports in table 2 (p. 4) that personal property comprises 10.3 percent of locally assessed property (not all of which is business property). State-assessed property also includes personal property in some states, especially that belonging to public utilities. However, in total, stateassessed property (real and personal) comprised only 5 percent of overall state-local gross assessed value in 1987. 14 ECONOMIC PERSPECTIVES APPENDIX TABLE A Seventh District share of state-local expenditures allocated to businesses and households, FY1992 ( m i l l i o n s o f dollars) Spending category Households Prorated household Shared household Business Prorated business Shared business $35,968 753 8,706 4,011 803 17 $35,968 Education 753 Libraries W e lfa re 8,706 H ealth 4,011 803 H ospital V e te ra n services N a tu ral resources (fish + fo restry ) Total 17 Parks and recreation 1,729 155 1,729 H ousing and c o m m u n ity d e v e lo p m e n t 1,120 1,120 U n e m p lo y m e n t insurance 4,467 155 7 4,467 7 N a tu ral resources ag ricu ltu re 341 341 N a tu ral resou rces n.e.c. 434 434 W a te r tra n s p o rt Financial a d m in is tra tio n G eneral public building s 1,775 285 2,060 645 103 749 G eneral in terest on deb t 4,988 799 5,787 O th e r g o v e rn m e n t a d m in is tra tio n (L+CS) 1,313 210 1,523 All o th e r and un a llo cab le 3,072 3,564 52 492 26 A ir tra n s p o rta tio n T ran s p o rta tio n sub sidies H ig h w ays 26 9 9 3,619 3,619 56 56 Parking 891 891 Police 2,185 2,185 C orrections Fire p rotectio n 19 7,238 113 1,782 4,370 3,106 1,717 1,553 1,553 Ju d icial 859 859 P rotective inspection and reg u latio n 276 276 Sew age 626 626 553 1,252 Solid w aste m anagem ent 542 542 1,084 M isc e lla n e o u s fed eral grants (555) (1,111) Total 57,729 11,794 10,087 (555) 782 1,890 10,088 92,370 Share of total 62.5% 12.8% 10.9% 0.8% 2.0% 10.9% 100.0% Total household share 86.2% Total business share 13.8% Note: Columns may not add up due to rounding. Source: Staff calculations based on data from U.S. Department of Commerce, Bureau of the Census, Governm ents Division. FEDERAL RESERVE BANK OF CHICAGO 15 APPENDIX TABLE B Business taxes: A comparison of measurements, F Y 1 9 9 2 ACIR method Total Property Sales Corporate income Insurance U tility Unemploym ent —............ millions o f dollars — <------- Motor fuel ■...........) Illinois 7,945 3,285 1,135 970 198 1,171 922 0 Indiana 3,200 1,461 642 755 123 0 180 0 Iowa 1,382 6374 204 193 97 6 150 0 Michigan 6,934 3,111 550 1,730 178 44 1,113 0 Wisconsin 2,478 939 241 438 69 254 359 0 Seventh District 21,939 9,433 2,772 4,086 665 1,475 2,724 0 Oakland/ Testa Total Property Sales Corporate income Insurance Utility Unemploym ent --------- ) ------------- millions o f dollars—- (------- Motor fuel Illinois 9,670 5,284 1,135 970 83 649 922 480 Indiana 3,191 1,305 642 755 64 0 180 217 Iowa 1,819 1,003 204 193 50 3 150 133 Michigan 5,994 2,063 550 1,730 92 23 1,113 298 Wisconsin 3,142 1,532 241 438 36 131 359 228 23,816 11,187 2,772 4,086 324 806 2,724 1,355 Seventh District Note: Figures may not add up due to tax categories omitted from this table. Source: Staff calculations based on data from U.S. Department of Commerce, Bureau of the Census, Governm ents Division. NOTES 'If the tax cannot be shifted forward, then this procedure is flawed. For example, if a state levies a sales tax on petroleum products refined in a particular state, and the price of refined products are determined in world markets, the tax would have to be added to the firm’s cost of doing business within that state. Fortunately, such situations are not commonly the case. 2For small states, however, this point is more telling. Business owners in the New York metropolitan statistical area may have the option of relocating their businesses in several states, making the issue of personal income taxes a relevant factor in the location decision. However, this is mitigated by the common practice of crediting taxes paid by host states. 3These issues are dealt with at greater length in Oakland (1992). 4Indeed, the motor vehicle fuels tax could be treated under either rubric. It could be viewed as a user charge for the wear and tear and highway congestion associated with business transportation. However, fuel consumed is not a good measure of general environmental costs, such as congestion and other nonpriced costs. Accordingly, we choose to treat motor fuels tax revenues as part of general business taxation. 16 5In many instances the administrative cost advantages are exaggerated because they include costs shifted from government to the taxpayer. 6A substantial body of empirical studies provide evidence that voters respond to the perceived cost (that is, “tax price”) in making public expenditure decisions (see Rubinfeld 1985). 7Typically a three-factor formula is employed for such purposes: payroll, capital investment, and sales. States with few production facilities often put heavy, sometimes exclusive, weight on the sales factor to capture a larger share of the profits of multistate corporations. Multistate corporations in Iowa can use sales by destination as the sole factor in apportioning taxable income. 8Now, the main objective may be to stem the outflow of gambling money to other jurisdictions or, in effect, to reduce tax importing. 9One might think that if all states adopt the practice, there will be no such “other” market; hence the firm will have to absorb the tax. However, from the taxing state’s vantage point, the policies of other states are irrelevant. In the case under discussion, local residents would enjoy lower prices than consumers elsewhere if the tax were not imposed. ECONOMIC PERSPECTIVES "'If the superior resource provided competitive advantages to all production activities within the jurisdiction, a general tax might be in order. This might be true for certain local governments— for example, cities with outstanding harbors. However, even here the ubiquitous ness of the advantage is questionable. "While the business community can exert political influ ence, only individuals can vote. Therefore, support for desirable business services requires that voters not per ceive a fiscal loss. l2Of course, if other jurisdictions do not implement the benefit principle, this neutrality would be vitiated. uFor details see Greco, Oakland, and Testa (forthcoming). l4Our finer measurements are carried out, not for each region, but only for the states in the Seventh District. l5The state of Michigan has since reduced its reliance on property taxes and hiked its reliance on general sales taxes for funding elementary and secondary education in the state. However, we do not believe that overall reliance on taxes imposed on the business sector has changed; proper ty tax reductions, if any, have probably been offset by increased business tax payments made under the state’s now-higher sales tax rate. See Courant, Gramlich, and Loeb (1995). A reduction in property taxes in Wisconsin is also imminent, but the sources of revenue compensation have not yet been decided. l6States may be implicitly changing the nature of their corporate taxes away from “profits or capital” taxes and toward a type of sales or import tax. Specifically, states have been changing the formulas by which they allocate the tax base of multistate companies. By “double-weight ing” the allocation factor which counts the proportion of the firm’s sales that are in-state, the corporate income tax implicitly taxes the sales of out-of-state firms that are being sold in the home state. That is, the tax liability correlates, not with firm profits, but with sales of imports into the home state. To the extent that the firm sells to a national market, such a tax would tend to raise the price of the goods sold in the home state. l7The single business tax (SBT) is levied on a tax base of value added for firms in the state, calculated by adding factor payments including interest paid, business income, depreciation, and labor compensation. The tax base deviates from value added by origin in that multistate firms are allowed to apportion business activity according to a formula that gives 50 percent weight of the taxable base to the firm’s Michigan share of sales to total sales nationwide, and 25 percent weight each to the Michigan location of firm property and payroll. Other reductions or credits involve small firms, low-profit small firms, and all firms characterized by labor compensation bills which exceed 63 percent of the tax base. See Citizen’s Research Council of Michigan ( 1995). The state previously im posed another form of the tax, the business activities tax, from 1953 to 1967. '"Value-added taxes are used by many countries, and a lively debate is now under way in the U.S. over whether to impose the tax at the national level. Such a tax would likely differ in intent and structure from that envisioned herein for state governments. A national tax in the U.S. is often envisioned as a “consumption-type” value-added tax, a national sales tax which would be imposed on consumption and might be designed to replace some existing revenue sources to encourage national savings behavior. In contrast, the tax base for state value-added taxation could include capital consumption, thereby relating more closely to business benefits received as reflected in total business activity in a state. In many other countries, value-added taxes were enacted to eliminate significant imbalances in “turnover” type taxes, which tended to tax the gross receipts of firms at each stage of production. 'These value-added data by industry sector are derived by both the addition method and the substraction method. See U.S. Department of Commerce, Bureau of Economic Analysis (1985). Gross state product is equivalent in concept to national gross domestic product (which includ ed capital consumption and indirect taxes in its defini tion). 20Such studies often follow the “rate-of-return” approach developed by James Papke. For example, see Tannenwald (1993). REFERENCES Aaron, Henry, “Differential price effects of a value-added tax,” N a tio n a l Tax Journal, Vol. 21, No. 2, June 1968, pp. 162-78. _______________ , “State-local taxes with an initial impact on business,” R eg io n a l G row th: In tersta te Tax C om petition, Washington, DC: ACIR, March 1981, pp. 61-77. 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Mikesell, S a les Taxation: S ta te a n d L o c a l S tru c tu re a n d A d m in istra tio n , 2nd ed., Washington, DC: Urban Institute Press, 1995, pp. 1-106. Ebel, Robert D., The M ich ig a n B u sin ess A ctivities Tax, V a lu e-A d d ed in a S u b n a tio n a l E conom y, East Lansing, MI: Michigan State University Business Studies, 1972. Ebel, Robert D., and Janies A. Papke, “A closer look at the value-added tax,” P roceedings o f the Sixtieth A n n u a l C onference o f the N a tio n a l Tax A sso c ia tio n -T a x In stitu te o f A m erica , Columbus, OH, 1967, pp. 155-170. Edison Electric Institute, S ta tistic a l Y earbook o f the E le c tric U tility In d u stry 1992, Washington, Papke, L., “Interstate business tax differentials and new firm location: Evidence from panel data,” J o u rn a l o f P u b lic E co n o m ic s, Vol. 45, 1991, pp. 47-68. Parker, Robert P., “Gross state product by indus try, 1977-90,” S u rvey o f C urrent B usiness, Vol. 73, No. 5. 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DC, 1992. 18 ECONOMIC PERSPECTIVES Studenski, Paul, “Toward a Theory of Business Taxation,” J o u rn a l o f P o litic a l E co n o m y , Vol. 68, October 1940, pp. 621-654. _____ , C om pendium o f G overn m en t F in a n c es : 1977, Vol. 4, m ent, Washington, DC: No. 5 of C ensus o f G o v ern U.S. Government Printing Office, 1978. Tannenwald, R., “Massachusetts tax competitive ness: Working paper prepared for the Massachu setts Special Commission on Business Tax Policy,” Massachusetts Special Commission, April 1993. Tax Foundation, F acts & F igures in G overnm ent F inance, 1992 E d itio n , Washington, DC, 1992. _____ , G o vern m en t F in a n c es: 1986- Washington. DC: U.S. Government Printing Office, No. GF/92-5P, 1988. 87, _____ , G o vern m en t F in a n c es: 1991-92 (P relim in a ry R eport), Washington, DC: U.S. Gov ernment Printing Office, No. GF/92-5P, 1994. Tax Institute, Inc., H ow Should C orporations be Taxed? Proceedings from a symposium conducted by the Tax Institute, New York, NY, 1946. _____ , A R eappraisal o f B usiness Taxa Proceedings from a symposium conducted by the Tax Institute, Princeton, NJ, 1961. tion, Tax Policy League, Inc., H o w S h a ll B usiness Be Taxed? Proceedings from a symposium conducted by the Tax Policy League, 1936. U.S. Department of Commerce, Bureau of the Census, A sse sse d V aluations f o r L o ca l G eneral P roperty T axation, Vol. 2, No. 1 of 1987 C ensus o f G overnm ents, Washington, DC: U.S. Government Printing Office, 1988. _____ , S tate G o v ern m e n t F in a n c es : Washington, DC: U.S. Government Printing Office, No. GF/89-3, 1988. 1987, _____ , S ta te G o v ern m e n t F in a n c e s : Washington, DC: U.S. Government Printing Office, No. GF/92-3, 1993. 1992, U.S. Department of Commerce, Bureau of Eco nomic Analysis, “Experimental estimates of gross state product by industry,” staff report. No. SP85042, May 1985. Wheaton, W., “Interstate differences in the level of business taxation,” N a tio n a l Tax Jo u rn a l, Vol. 36, No. 1, March 1983, pp. 83-94. _____ , A sse sse d V aluations f o r L ocal G eneral P roperty Taxation, Vol. 2, No. 1 of 1992 C ensus o f G overnm ents, Washington, DC: U.S. Government Printing Office, 1994. FEDERAL RESERVE BANK OF CHICAGO 19 Rethinking Banl The 32nd annual Conference on Bank Structure and Competition Federal Reserve Bank of Chicago M a y 1-3, 1996 On May 1-3, 1996, the Federal Reserve Bank of Chicago will hold its 32nd annual Conference on Bank Structure and Competition at the Westin Hotel in Chicago. The major theme of this year’s conference will be an in-depth evaluation of bank regulation. The conference will address some of the most fundamental public policy issues facing the financial services industry today, including systemic risk, optimal merger activity, bank product powers, and regulatory reform. Historically, the American pub lic has been concerned about banks power, asymmetric information, or market externalities—which may make the economy more vulnerable to systemic crises. The question then is whether the financial services sector requires regulation to sup press market forces. Are potential market failures so pronounced that, left to their own devices, the finan cial markets would generate highly inefficient and inequitable distribu tions of resources? If the answer is yes, then what is the optimal regulatory design? How can regulation address these failures, complementing or limiting market forces as necessary? Can the goals Can regulators use market informa tion to regulate banks more effec tively? Is regulator information superior to that of the marketplace? The 1996 conference will fea ture discussions of these policy is sues by some of the industry’s most prominent participants. Featured speakers include Alan Greenspan, Chairman of the Board of Governors of the Federal Reserve System, and James Leach, Chairman of the U.S. House of Representatives Banking Committee. Theme and special session participants include Thomas Brown, Donaldson, Lufkin, and Jenrette; John Hawke, U.S. Treasury Regulation: What Should Regulators Do? becoming excessively large and wielding significant market power. In response to this concern and oc casional turbulence in financial mar kets, banks have been regulated in nearly all aspects of their operations. However, in the last two decades bank regulation has been deemed excessive, and a number of laws have been implemented to deregu late the industry. Still, many argue that the term “deregulation” is a mis nomer and that, as one of the more extensively regulated industries in the U.S., banking continues to be excessively constrained. The conference will evaluate the rationale, intent, and consequences of bank regulation. For example, economists typically argue that regu lation can be beneficial when market failure causes inefficient resource allocation. This may happen be cause of concentration of market of regulation be identified and can regulations be tied to specific market failures? How effective are regula tions in achieving their objectives? Are there unintended consequences? Do existing regulations decrease or exacerbate market concentration and externalities? If specific regulations are appro priate, what then is the optimal regu latory structure to achieve the stated goals? Should regulation be institu tion-, industry-, or function-based? Should a single regulator supervise the financial services industry? If not, how much cooperation should there be among domestic regulators and among international regula tors? Should supervisory powers be used to direct industry behavior or should market information be used to discipline bank behavior? How can regulators be held account able for their supervisory decisions? Department; and Edward Kelley, Board of Governors of the Federal Reserve System. The first day of the conference, intended primarily for an academic audience, will focus on technical research papers. The Thursday and Friday sessions will appeal to a more general audience. Invitations to the conference will be mailed in March 1996. If you are not currently on the conference mailing list or have changed address and would like to receive an invita tion, please contact the Meeting and Travel Services Department of the Federal Reserve Bank of Chicago at 312-322-5186, or mail your request to Public Affairs Department, 3rd Floor, Federal Reserve Bank of Chicago, P.O. Box 834, Chicago, Illinois, 60690-0834. Some comments on the role of econometrics in economic theory M a rtin E ich en baum In this article, I offer some comments on the role of econometrics in macroeco nomics.1 These reflect a spe cific perspective: The role of econometrics ought to be the advancement of empirically plausible economic theory. This is a natural perspective for any economist to take, but it is one that is particularly compelling for a macroeconomist. Lucas’ (1976) critique of econometric policy evaluation aside, it seems obvious that most policy questions cannot be fruitfully addressed using traditional quasireduced form econometric models. In the end, there are no alternatives to the use of fully specified general equilibrium models for ad dressing many of the problems that interest macroeconomists. The real issue is: Different fully specified general equilibrium models can generate very different answers to the same question. Indeed it is possible to work backwards from any answer to some model. So given a particular question, which model should a macroecono mist use? Developing the tools to answer this question is the key challenge facing econome tricians. Because all models are wrong along some dimension, the classic Haavelmo (1944) program of testing whether models are “true” will not be useful in meeting this challenge.2 We do not need high-powered econometrics to tell us that models are false. We know that. What we need to know are the dimensions along which a given model does well and the dimensions along which it does poorly. In Learner’s (1978) terminology, we need a 2 2 workable version of “specimetrics” that is applicable to dynamic general equilibrium models.3 Developing the diagnostic tools for this specimetrics program ought to be the pri mary occupation of econometricians, not de veloping ever-increasingly sophisticated tools for implementing the Haavelmo program. The need for progress on this front is pressing. General equilibrium business cycle analysts have begun to move beyond their initial practice of assessing models on a small set of moments without a formal statistical methodology.4 Real business cycle (RBC) theory is evolving to accommodate a wide variety of impulses to the business cycle, in cluding shocks to fiscal and monetary policy. But the process is in its infancy. The ultimate success of the enterprise will depend on the willingness of econometricians to devote more energy to the development of diagnostic tools for structural models and less to the develop ment of estimators for the parameters of re duced form systems and increasingly powerful tests of null hypotheses, such as The model is a literal description of the data-generating mechanism’. What is at stake for econometricians in all this? Why should they care about the needs of macroeconomists? Because, as social scientists, Martin Eichenbaum is a professor of economics at Northwestern University and a senior consult ant to the Federal Reserve Bank of Chicago. The author is grateful to Craig Burnside, Larry Christiano, John Cochrane, Ian Domowitz, Jonas Fish er, Lars Hansen, Joel Mokyr, and Tom Sargent for their comments. ECONOMIC PERSPECTIVES their product has to meet a market test. There is no point in producing elegant merchandise that is buried in the inventory of advanced econometrics textbooks. Unfortunately, this happens all too often. To many young macro economists, econometrics seems irrelevant.5 To remedy the situation, econometricians need to write instruction manuals for their products in a language that their customers understand. The language of economists centers on objects like agents’ criterion functions, information sets, and constraints.6 Consequently, econome tricians need to focus their efforts on develop ing tools to obtain information about those objects. To the extent that they concentrate on analyzing the parameters of reduced form representations of the data or devising tests of whether specific structural models are false, their output is likely to be ignored by most of their (macro) colleagues. This is not to suggest that there is no room for specialization in research or that econome tricians should not engage in basic research and development. No one knows in advance which tools will be valuable in applied re search. Still, the paradigm within which econometricians operate affects the types of tools they are likely to develop. The fact is that economists need to work with false struc tural models. It follows that econometricians need to abandon the Haavelmo paradigm and adopt one that more closely captures the ongo ing dialogue between theory and data.7 B uilding c o n fid en c e in m odels Focusing on the task of evaluating the effects of alternative policy rules is one way to make concrete the ongoing interaction between theory and data that marks actual practice in macroeconomics. With data drawn from other wise identical economies operating under dif ferent policy rules, we could easily dispense with economic theory. Such data are not avail able. And real world experimentation is not an option. We can perform experiments only in structural models. Indeed, Lucas (1980) argues that one of the critical functions of theoretical economics is to provide fully articulated eco nomic systems. These systems can serve as laboratories in which policies that would be prohibitively expensive to experiment with in actual economies can be tested. This sounds fine in principle. But which fully articulated economic system should we use? FEDERAL RESERVE BANK OF CHICAGO Lucas suggests that we test models as useful imitations of reality by subjecting them to shocks for which we are fairly certain how actual economies, or parts of econo mies, would react. The more dimen sions on which the model mimics the answers actual economies give to simple questions, the more we trust its answers to harder questions. (“Methods and problems in business cycle theory,"Journal o f Money, Credit and Banking.) The problem with this advice is that Lucas doesn’t specify what “more” and “mimics” mean or how we are supposed to figure out the way an actual economy responds to an actual shock. But absent specificity, we are left won dering just how to build trust in the answers that particular models give us. In the remain der of this article, I discuss two strategies. One strategy uses exactly identified vector autore gressions (VARs) to derive the answers that actual economies give to a simple question and then to see if structural models reproduce that answer.8 The specific simple question that VARs can sometimes answer is: How does the economy respond to an exogenous shock in agents’ environments? A different strategy, the one most RBC analysts have pursued, is to focus on a model’s ability to account for se lected moments of the data, like variances and covariances, that they believe are useful for diagnostic purposes. Id e n tify in g th e e ffe c ts o f a c tu a l shocks to a ctu al econom ies Without observable exogenous variables, it is not easy to determine the answers that real economies give to even simple questions. Limited progress can be made by combining historical and institutional knowledge with exactly identified VARs to isolate empirical measures of shocks to the economy. Re duced-form VAR-based exercises cannot provide answers to hard questions like ‘How would the economy react to a systematic change in the Federal Reserve’s monetary policy rule?’ That’s because they are not well suited to investigating the effects of systemat ic changes in agents’ constraint sets. But they can, in principle, answer simpler questions like ‘What is the effect of an exogenous shock to the money supply?’ 23 To the extent that complete behavioral models can reproduce answers that exactly identified VARs provide, we can have greater confidence in the behavioral models’ answers to harder policy questions. Suppose, for exam ple, that we want to use a particular structural model to assess the impact of a systematic change in the monetary authority’s policy rule. A minimal condition we might impose is that the model be consistent, qualitatively and quantitatively, with the way short-term interest rates respond to shocks in the money supply. To the extent that the answers from VARbased exercises are robust to different identify ing assumptions, they are useful as diagnostic devices. For example, different economic models make sharply different predictions about the impact of a shock to monetary poli cy. Both simple monetized RBC models and simple Keynesian models imply that interest rates ought to rise after an expansionary shock to the money supply. Limited participation models embodying strong liquidity effects imply that interest rates ought to fall.9 Bernanke and Mihov (1995) and Pagan and Roberston (1995) review recent VAR-based research on what actually happens to interest rates after a shock to monetary policy. The striking as pect of these papers is how robust inference is across a broad array of restrictions: expansion ary shocks to monetary policy drive short-term interest rates down, not up. This finding casts strong doubt on the usefulness of simple mone tized RBC and Keynesian models for address ing a host of monetary policy issues. Often, historical and institutional informa tion can be very useful in sorting out the plau sibility of different identifying schemes. Just because this information is not easily summa rized in standard macro time series does not mean it should be ignored. Consider the task of obtaining a ‘reasonable’ measure of shocks to monetary policy. We know that broad mon etary aggregates like M 1 or M2 are not con trolled by the Federal Reserve on a quarterly basis. So it makes no sense to identify unantic ipated movements in Ml or M2 with shocks to monetary policy. Similarly, based on our knowledge of U.S. institutions, we may have very definite views about the effects of mone tary policy on certain variables. For example, a contractionary monetary policy shock is clearly associated with a decrease in total gov ernment securities held by the Federal Reserve. 24 A measure of monetary policy shocks that did not have this property would (and should) be dismissed as having incredible implications. Does this mean that we should only use VARs to generate results that are consistent with what we already think we know? Of course not. In practice we build confidence in candidate shock measures by examining their effect on the variables that we have the stron gest views about. In effect we ‘test’ the re strictions underlying our shock measures via sign and shape restrictions on the dynamic response functions of different variables to the shocks. When enough of these ‘tests’ have been passed, we have enough confidence to use the shock measure to obtain answers to ques tions we don’t already know the answers to.10 To my knowledge, econometricians have not yet provided a formal Bayesian interpretation for this procedure. Such a framework would be extremely valuable to practitioners. H o w w e ll does a m o d el m im ic a d ata m om ent? Another strategy for building confidence in models is to see whether they account for prespecified moments of the data that are of particular interest to economic model builders. This strategy is the one pursued by most RBC analysts. In so doing, they have made little use of formal econometric methods, either when model parameters are selected, or when the model is compared to the data. Instead a vari ety of informal techniques, often referred to as calibration, are used. A key defect of calibration techniques is that they do not quantify the sampling uncer tainty inherent in comparisons of models and data. Calibration rhetoric aside, model param eter values are not known. They have to be estimated. As a result, a model’s predictions are random variables. Moreover, the data moments that we are trying to account for are not known. They too have to be estimated. Without some way of quantifying sampling uncertainty in these objects, it is simply impos sible to say whether the moments of a fully calibrated model are “close” to the analog moments of the data-generating process. In the end, there is no way to escape the need for formal econometric methodology. Do the shortcomings of calibration tech niques affect inferences about substantive claims being made in the literature? Absolutely. ECONOMIC PERSPECTIVES The claim that technology shocks account for a given percent, say X, of the variance of output amounts to the claim that a calibrated model generates a value of X equal to ('*',)/<%• Here the numerator denotes the variance of model output, calculated under the assumption that the vector of model structural parameters, 4*, equals 4^ while the denominator denotes an estimate of the variance of actual output. The claim that technology shocks account for most of the fluctuations in postwar U.S. output corresponds to the claim that X is close to one." In reality, 4/ | and the actual variance of output, o~d, have to be estimated. Consequent ly, A, is a random variable. Eichenbaum (1991) investigated the extent of the sampling uncer tainty associated with estimates of X. My conclusion was that the extent of this uncer tainty is enormous.12 The percentage of aggre gate fluctuations that technology shocks actual ly account for could be 70 percent as Kydland and Prescott (1989) claim but it could also be 5 percent or 200 percent. Under these circum stances, it is very hard to attach any importance to the point estimates of X pervading the litera ture. There are a variety of ways to allow for sampling uncertainty in analyses of general equilibrium business cycle models. The most obvious is to use maximum likelihood meth ods.13 A shortcoming of these methods is that the estimation criterion weights different mo ments of the data, exclusively according to how much information the data contain about those moments. At a purely statistical level, this is very sensible. But as decisionmakers we may disagree with that ranking. We may insist on allocating more weight to some moments than others, either at the estimation or at the diagnostic stage. Different approaches for doing this have been pursued in the literature. Christiano and Eichenbaum (1992) use a variant of Hansen’s (1982) generalized method of moments (GMM) approach to estimate and assess business cycle models using prespeci fied first and second moments of the data. Ingram and Lee (1991) discuss an approach for estimating parameter values that minimiz es the second-moment differential of the actu al data and the artificial data generated by the model. Diebold, Ohanian, and Berkowitz FEDERAL RESERVE BANK OF CHICAGO (1994) propose frequency domain analogs, in which the analyst specifies the frequencies of the data to be used at the estimation and diag nostic stages of the analysis. King and Wat son (1995) pursue an approach similar in spirit to those mentioned above but geared more toward assessing the relative adequacy of competing models with respect to prespeci fied features of the data. These approaches share two key features. First, the analyst has the option of using differ ent features of the data for estimation and diag nostic purposes. Second, standard econometric methodology is used to provide information about the extent of uncertainty regarding dif ferences between the model and the data, at least as these reflect sampling error. In princi ple, the first key feature differentiates these approaches from maximum likelihood ap proaches. In practice, it is easy to overstate the importance of this difference. In actual appli cations, we have to specify which variables’ likelihood surface we are trying to match. So there is nothing particularly general or compre hensive about maximum likelihood methods in particular applications, relative to the ap proaches discussed above. Still, the more moments an approach uses to diagnose the empirical performance of a model, the more general that approach is. An important shortcoming of many RBC studies (including some that I have conducted) is that they focus on a very small subset of moments. Some of the most interesting diagnostic work being done on general equilibrium business cycle models involves confronting them with carefully chosen but ever-expanding lists of moments. The evolution of RBC models be yond their humble beginnings parallels the wider range of phenomena that they are now being confronted with. To illustrate this point, I now consider some of the strengths and weaknesses of a simple, prototypical RBC model. Using the approach discussed in Christiano and Eichen baum (1992), I show that the model does very well with respect to the standard small list of moments initially used to judge RBC models. I then use this approach to display a point made by Watson (1993): Standard RBC models badly miss capturing the basic spectral shape of real macroeconomic variables, particularly real output. This reflects the virtual absence of any propagation mechanisms in these 25 models. Model diagnostic approaches that focus on a small set of moments like the variance of output and employment mask this first-order failure. 7) g ^ g o + g j + p g ^ + e,, where the parameter a is between 0 and 1, K denotes the beginning of time t capital stock, and X represents the time t level of technology. The stock of capital evolves according to where g(| and g t are constants, t denotes time, Ipl < 1, and £f is a mean zero shock to g: that is serially uncorrelated and has standard deviation <7 . The variable p controls the persistence of gr The larger p is, the longer lasting is the effect of a shock to e on gr In the presence of complete markets, the competitive equilibrium of this economy corre sponds to the solution of the social planning problem: Maximize equation 1 subject to equa tions 2 to 7 by choice of contingency plans for time t consumption, hours of work, and the time t+ 1 stock of capital as a function of the planner’s time t information set. This informa tion set is assumed to include all model vari ables dated time t and earlier. Burnside and Eichenbaum (1994) estimate the parameters of this model using the GMM procedure described in Christiano and Eichen baum (1992). To describe this procedure, let VF| denote the vector of model structural pa rameters. The unconditional moment restric tions underlying Burnside and Eichenbaum’s estimator of 4^ can be summarized as: 3) 8) E [«„(¥?)] =0, A sim p le RBC m odel Consider the following simple RBC mod el. The model economy is populated by an infinitely lived representative consumer who maximizes the criterion function 1) £■„ £ P'[ln(C,)-6/V,]. ;=0 Here 0 < (3 < 1, 0 > 0, C denotes time t con sumption, Nt denotes time t hours of work, and E{) denotes expectations conditioned on the time 0 information set. Time t output, T, is produced via the Cobb-Douglas production function 2) T = K''-a(N X')a, KM = ( l- 6 ) K , + I,. Here / denotes time t gross investment and 0 < 8 < 1. The level of technology, X , evolves according to 4) X, = X_, exp (y+ v ), where y > 0, vi is a serially uncorrelated pro cess with mean 0 and standard deviation <7V . Notice that unlike the class of models exam ined in Eichenbaum (1991), the level of tech nology is modeled here as a difference station ary stochastic process. The aggregate resource constraint is given by 5) c + / + G<y, Here Gt denotes the time t level of government consumption which evolves according to 6) G = x , g;. The variable g*is the stationary component of government consumption and gt = ln(g*) evolves according to 26 where H/(|) is the true value of 4* and uu(») is a vector-valued function that depends on the data as well as 4/(). In Burnside and Eichenbaum’s (1994) analysis, the dimension of uu(») is the same as that of 4/t). Because of this, the mo ment restrictions in equation 8 fall into two categories. The first category consists of con ditions that require the model to match the sample analogs of various moments of the data, like the capital to output ratio, and average hours worked. The second category consists of conditions that lead to estimating parameters like those governing the behavior of govern ment purchases, p, g(), and g , via least squares, and parameters like the standard deviations of the shock to technology and government pur chases, as the sample averages of the sums of squared fitted residuals. Two features of equation 8 are worth noting. First, there is no reason to view this equation as holding only under the hypothesis that the model is “true”. Instead equation 8 can be viewed as summarizing the rule by which Burnside and I chose model parameter values as functions of unknown moments of the data-generating ECONOMIC PERSPECTIVES process. Second, our model is one of balanced growth. This, in conjunction with our specifica tion of the technology process, X, as a differ ence stationary process, implies a variety of cointegrating relationships among the variables in the model.14 We exploit these relationships to ensure that the moments entering equation 8 pertain to stationary stochastic processes. The salient features of the parameter esti mates reported in Burnside and Eichenbaum (1994) is their similarity to the values em ployed in existing RBC studies. So what dif ferentiates the estimation methodology is not the resulting point estimates, but that the ap proach allows one to translate sampling uncer tainty about the functions of the data that de fine the parameter estimator into sampling uncertainty regarding point estimates. The procedure used to assess the empirical plausibility of the model can be described as follows. Let 4 \ denote a vector of diagnostic moments that are to be estimated in ways not involving the model. The elements of 4*, typi cally include objects like the standard devia tions of different variables, as well as various autocorrelation and cross-correlation coeffi cients. The unconditional moment restrictions used to define the GMM estimator of 4/, can be summarized as: 9) restrictions from the model by r(4 /). Then hypotheses of the form 11) H0 : FC¥°) = O ^ 0) - r(y °) = 0 can be tested using a simple Wald test. Early RBC studies often stressed the abili ty of the standard model to account for the volatility of output and the relative volatility of various economy-wide aggregates. To exam ine this claim, it is useful to focus for now on the standard deviation of output, the standard deviation of consumption, investment, and hours worked relative to output, and the stan dard deviation of hours worked relative to average productivity.15 Column 1 of table 1 lists different moments of the data. Column 2 reports nonmodel-based point estimates of these moments, obtained using aggregate timeseries data covering the period 1955:Q3-84:Q4. Column 3 contains the values of these mo ments implied by the model, evaluated at 4/ . TABLE 1 Data and model moments (Relative volatility testsa) Moment E [u2iC¥°2)\ = 0. Here 4*° denotes the true value of 4/r The vector m2/(*) has the same dimension as 4/°. It is useful to summarize equations 8 and 9 as 10) E [ u m ] = 0 t= 1 ,. . . , T. Here 4*° is the true value of (4i '4/2)/ and ut is a vector valued function of dimension equal to the dimension of 4/0. As long as the dimension of ut(») is greater tljan or equal to the dimen sion of 4'°, equation 10 can be exploited to consistently estimate 4/0 via Hansen’s (1982) GMM procedure. Suppose we wish to assess the empirical plausibility of the model’s implications for a q x 1 subset of 41,. We denote this subset by co. Let 0(4/) denote the value of co implied by the model, given the structural parameters 4/). Here denotes the (nonlinear) mapping between the model’s structural parameters and the relevant population moments. Denote the nonparametric estimate of co obtained without imposing FEDERAL RESERVE RANK OF CHICAGO C i/°y /<*„ a*/<LP, U.S. data Model 0.0192 (0.0021) 0.0183 (0.0019) [0.712] 0.437 (0.034) 0.453 (0.005) [0.633] 2.224 (0.079) 2.224 (0.069) [0.999] 0.859 (0.080) 0.757 (0.050) [0.999] 1.221 (0.132) 1.171 (0.032) [0.729] aThe sta tistic o ; is the standard de via tio n o f the H odrick-P rescott filte re d va ria ble /, / = /(o u tp u t), c (co nsum p tion), / (inve stm en t), h (hours w orked), and ap l (average p ro d u c tiv ity o f labor). Notes: N um bers in parentheses denote the standard e rro r o f the co rre sp o n d in g p o in t esti mate. N um bers in brackets denote the p ro b a b ili ty values o f the W ald statistics fo r te stin g the hyp othe sis th a t the m odel and nonm odel-based num bers are the sam e in po p u la tio n . Source: This tab le is taken fro m B urnside and E ichenbaum (1994). 27 Numbers in parentheses are the standard errors of the corresponding point estimates. Numbers in brackets are the probability values of Wald statistics for testing whether the model and data moments are the same in population. The key thing to notice is how well the model per forms on these dimensions of the data. In no case can we reject the individual hypotheses that were investigated, at a conventional signif icance level. Once we move beyond the small list of moments stressed in early RBC studies, the model does not perform nearly as well. As I mentioned above, Watson (1993) shows that the model fails to capture the typical spectral shape of growth rates for various macro vari ables. For example, the model predicts that the spectrum of output growth is flat, with relative ly little power at cyclical frequencies. This prediction is inconsistent with the facts. A slightly different way to see this empirical shortcoming is to proceed as in Cogley and Nason (1993) and focus on the autocorrelation function of output growth. Panel A of figure 1 28 reports nonmodel-based estimates of the auto correlation function of Ain ( Y ), as well as those implied by the model. These are depict ed by the solid and dotted lines, respectively. The actual growth rate of U.S. output is posi tively autocorrelated: specifically the first two autocorrelation coefficients are positive and significant.16 The model implies that all the autocorrelations are negative, but small. In fact they are so close to zero that the solid line depicting them is visually indistinguishable from the horizontal axis of the figure. Panel B displays the difference between the model and nonmodel-based estimates of the autocorrela tion coefficients, as well as a two-standard error band around the differences. We can easily reject the hypothesis that these differ ences reflect sampling error. Various authors have interpreted this em pirical shortcoming as reflecting the weakness of the propagation mechanisms embedded within standard RBC models. Basically what you put in (in the form of exogenous shocks) is what you get out. Because of this, simple RBC models cannot simultaneously account for the time-series prop erties of the growth rate of out put and the growth rate of the Solow residual, the empirical measure of technology shocks used in first generation RBC models. How have macroeconomists responded to this failing? They have not responded as Haavelmo (1944) anticipated. Instead they have tried to learn from the data and modify the models. The modifications include al lowing for imperfect competi tion and internal increasing returns to scale, external in creasing returns to scale, factor hoarding, multiple sectors with nontrivial input-output linkages, and monetary frictions.17 Evi dently when econometricians convey their results in language that is interpretable to theorists, theorists do respond. Progress is being made. Granted, the econometric tools described here fall far short of even ap proximating the dynamic version ECONOMIC PERSPECTIVES of Leamer-style specimetrics discussed in the introduction. Still, they have proved to be useful in practice. Conclusion I would like to conclude with some com ments about the classic Haavelmo program for testing economic models. I did not discuss this program at length for a simple reason: It is irrelevant to the inductive process by which theory actually evolves. In his seminal 1944 monograph, Haavelmo conceded that his pro gram contributes nothing to the construction of economic models. The key issue he chose to emphasize was the problem of splitting on the basis of data, all a priori theories about certain variables into two groups, one containing the admissible theories, the other containing those that must be rejected. (“The probability approach in econometrics,” Econometrica) In reality, economic hypotheses and mod els are generated by the ongoing interaction of researchers with nonexperimental data. The Haavelmo program conceives of economic theorists, unsullied by data, working in splen did isolation, and “somehow” generating hy potheses. Only when these hypotheses appear, does the econometrician enter. Armed with an array of tools he goes about his grim task: testing and rejecting models. This task com plete, the econometrician returns to the labora tory to generate ever-increasingly powerful tools for rejecting models. The theorist, no doubt stunned and disappointed to find that his model is false, returns to his office and contin ues his search for the “true” model. I cannot imagine a paradigm more at vari ance with the way actual empirical research occurs. Theories don’t come from a dark clos et inhabited by theorists. They emerge from an ongoing dialogue with nonexperimental data or, in Learner’s (1978) terminology, from on going specification searches. To the extent that the Haavelmo program is taken seriously by anyone, it halts the inductive process by which actual progress in economics occurs. The fact is that when Haavelmo attacked a real empirical problem, the determinants of investment, he quickly jettisoned his method ological program. Lacking the tools to create a stochastic model of investment, Haavelmo (1960) still found it useful to interact with the data using a “false” deterministic model. For tunately, economic theory has progressed to the point where we do not need to confine ourselves to deterministic models. Still we will always have to make simplifying assump tions. In his empirical work, Haavelmo (1960) tried to help us decide which simplifying as sumptions lead us astray. That is the program econometricians need to follow, not the utopi an program that was designed in isolation from actual empirical practice. That road, with its focus on testing whether models are true, means abandoning econometrics’ role in the inductive process. The results would be tragic, for both theory and econometrics. NOTES 'This article is based on a paper that appeared in the November 1995 issue of Economic Journal. 2See Conclusion for further discussion of the Haavelmo program. 3By specimetrics, Learner (1978, p. v) means: “. . . the process by which a researcher is led to choose one specifi cation of the model rather than another; furthermore, it attempts to identify the inferences that may be properly drawn from a data set when the data-generating mecha nism is ambiguous.” 4Moments refer to certain characteristics of the datagenerating process, such as a mean or variance. Moments are classified according to their order. An example of a first-order moment would be the expected value of output. An example of a second-order moment would be the variance of output. FEDERAL RESERVE BANK OF CHICAGO 5Some of the rhetoric in the early RBC literature almost suggests that econometricians and quantitative business cycle theorists are natural enemies. This view is by no means unique to RBC analysts. See for example Keynes’ (1939) review of Tinbergen’s (1939) report to the League of Nations and Summers’ (1991) critique of econometrics. 5Econometricians have many customers, such as govern ment officials and private businesses, for whom the language of economic theory may not be very useful. 7If these comments sound critical of econometricians who ignore economic theory, I have been as critical, if not more so, of business cycle theorists who ignore econometrics. See Eichenbaum (1991) for a discussion of the sensitivity of inference in the RBC literature to accounting for sampling uncertainty in the parameter estimates of structural models. 29 8A finite-ordered vector autoregressive representation for a set of variables Z expresses the time t value of each variable in Z as a function of a finite number of lags of all the variables in Z plus a white noise error term. The error term is often interpreted as a linear combination of the basic shocks affecting the economy. These shocks include unanticipated changes in monetary and fiscal policy. Exactly identified VARs make just enough assumptions to allow the analyst to measure the shocks from the error terms in the VAR. These assumptions are referred to as identifying assumptions. T he key feature of limited participation models is the assumption that households do not immediately adjust their portfolios after an open market operation. Conse quently, open market operations affect the bank-reserves portion of the monetary base. It is this effect that gener ates declines in interest rates following contractionary open market operations in the model. See King and Watson (1995) and Christiano and Eichenbaum (1995), as well as the references therein. l0See for example Christiano, Eichenbaum, and Evans (1996), who use this strategy to study the response of the borrowing and lending activities of different sectors of the economy to a shock in monetary policy. "See for example Kydland and Prescott (1989). "This conclusion depends on the nature of the estimators of 'P| and o f implicit in early RBC studies and the hypothesis that the level of technology is a trend-stationary process. The latter is an important maintained assumption of early RBC studies. "See for example Leeper and Sims (1994) and the refer ences therein. "With the exception of hours worked, all model variables inherit a stochastic trend from the technology process, Xr "Here all moments refer to moments of time series that have been processed using the stationary inducing filter discussed in Hodrick and Prescott (1980). l6See Burnside and Eichenbaum (1994). "This is a good example of Learner’s (1978) observation that a critical feature of many real learning exercises is the search for new hypotheses that explain the given data. REFERENCES Bernanke, B., and I. Mihov, “Measuring monetary policy,” Princeton University, un published paper, 1995. Burnside, C., and M. Eichenbaum, “Factor hoarding and the propagation of business cycle shocks,” National Bureau of Economic Re search, working paper, No. 4675, 1994. Christiano, L. J., and M. Eichenbaum, “Cur rent real business cycle theories and aggregate labor market fluctuations,” American Econom ic Review, Vol. 82, June 1992, pp. 430^150. Diebold, F. X., L. Ohanian, and J. Berkowitz, “Dynamic equilibrium economies: A framework for comparing models and data,” University of Pennsylvania, unpublished pa per, 1994. Eichenbaum, M., “Real business cycle theory: Wisdom or whimsy?” Journal of Economic Dynamics and Control, Vol. 5, July/October 1991, pp. 607-626. Haavelmo, T., “The probability approach in econometrics,” Econometrica, Vol. 12, supple ment, 1944, pp. 1-118. _______________ , “Liquidity effects, mone tary policy, and the business cycle,” Journal of Money, Credit and Banking, Vol. 27, No. 4, November 1995. _______________, A Study in the Theory of Investment, Chicago: University of Chicago Press, 1960. Christiano, L. J., M. Eichenbaum, and C. Evans, “What happens after a monetary shock? Evidence from the flow of funds,” Review of Economics and Statistics, 1996 forthcoming. Hansen, L. P., “Large sample properties of generalized method of moments estimators,” Econometrica, Vol. 50, July 1982, pp. 10291054. Cogley, T., and J. Nason, “Do real business cycle models pass the Nelson-Plosser test?” University of British Columbia, unpublished paper, 1993. Hodrick, R. J., and E. C. Prescott, “Post-war business cycles: An empirical investigation,” Carnegie-Mellon University, unpublished paper, 1980. 30 ECONOMIC PERSPECTIVES Ingram, B., and B. S. Lee, “Simulation esti mation of time-series models,” Journal of Econometrics, Vol. 47, February/March 1991, pp. 197-206. Keynes, J.M., “Comment,” Economic Journal, Vol. 44, September 1939, pp. 558-568. King, R. G., and M. Watson, “Money, prices, interest rates, and the business cycle,” Univer sity of Virginia, unpublished paper, 1995. Kydland, F. E., and E. C. Prescott, “Hours and employment variation in business cycle theory,” Institute for Empirical Economics, Federal Reserve Bank of Minneapolis, discus sion paper, No. 17, 1989. Learner, E. E., Specification Searches. Ad Hoc Inferences with Nonexperimental Data, New York: John Wiley and Sons, 1978. Leeper, E., and C. Sims, “Toward a modern macroeconomic model usable for policy analy sis,” in NBER Macroeconomics Annual 1994, Stanley Fischer and Julio J. Rotemberg (eds.), 1994, pp. 81-117. Carnegie Rochester Conference Series on Pub lic Policy, Vol. 1, Amsterdam: North-Holland Publishing Company, 1976, pp. 19-46. Lucas, R. E., Jr., “Methods and problems in business cycle theory,” Journal of Money, Credit and Banking, Vol. 12, November 1980, pp. 696-715. Pagan, A., and John Robertson, “Resolving the liquidity effect,” Federal Reserve Bank of St. Louis Review, Vol. 77, No. 3, May/June 1995, pp. 33-54. Summers, L. H., “The scientific illusion in empirical macroeconomics,” Scandinavian Journal of Economics, Vol. 93, June 1991, pp. 129-48. Tinbergen, J., A Method and Its Application to Investment Activity, Statistical Testing of Business Cycle Theories, Geneva: League of Nations, 1939. Watson, M., “Measures of fit for calibrated models,” Journal of Political Economy, Vol. 101, December 1993, pp. 1011-1041. Lucas, R. E., “Econometric policy evaluation: A critique,” in The Phillips and Labor Mar kets, Karl Brunner and Alan H. 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