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Energy Prices and Capital Formation: 1972-1977 J O H N A. T A T O M T1 WO of the most noteworthy developments in the U.S. economy during this decade have been the sharp rise in energy prices in 1973-74 and the sluggish pace of business investment during the brisk eco nomic expansion which followed the 1974-75 reces sion. The purpose of this article is to delineate the connection between these two developments. The analysis presented provides a perspective on the be havior of business investment spending in the recent past, and the general effects of energy price changes on investment and productivity.1 I. Investment and Energy Prices: The Theory A standard view of the investment decision is that a profit-maximizing firm determines whether or not to invest in an asset by comparing the purchase price of the asset to the present value of the additional net receipts obtained over the life of the asset. The firm will invest whenever the purchase price of an asset is smaller than the present value of net receipts. At the margin, the present value of the net receipts attributed to the purchase and use of the asset will be equal to its purchase price or replacement cost. A rise in the price of energy resources generally reduces the incentive for firms to use and, therefore, to invest in plant and equipment. The net receipts ex pected from the asset in future periods are reduced by an amount equal to the higher energy costs, other things remaining the same. This, however, ignores such factors as product prices, the price of capital goods, and other resource employment, which also af fect the investment decision and can be expected to change when energy resources become more expen sive. In order to take these factors into account, the relationship between the purchase price of a capital asset and the present value of net receipts can be rearranged to focus upon the production and capital employment decision. This article draws upon the author’s paper “The New Energy Regime and Investment” ( unpublished) which was prepared for a Federal Reserve Board of Governors study on Capital Formation. The author is grateful for the comments on the earlier paper by Nancy Ammon Jianakoplos, Patrick Lawler, and Robert H. Rasche. Since the decision to invest implies that, at the margin, the price of the capital asset equals the pres ent value of the expected net receipts, a “rental price” can be computed for any capital asset on the basis of this equality. This rental price is merely the cost per period of holding and using the capital asset and is directly proportional to the purchase price of capital goods2. The optimal amount of capital for a firm to employ can be determined using this price. iThere are many factors which may have adversely affected business investment in plant and equipment in the recent ast, such as safety and pollution regulations, inflation, large seal deficits, and increased uncertainty. The significant com mon feature of these developments is that they existed to some extent since the mid-sixties but, prior to 1974, did not seem to exert the profound influence required to explain recent de velopments. These other factors are ignored below. 2Generally, the rental price is the periodic cost of the equity and debt required to finance the replacement cost of the asset, the value of the asset lost per period due to depreciation, and taxes on the revenues from the use of the asset. Since it is proportional to the purchase price of a capital good, the terms are used interchangeably below. Page 2 F E D E R A L R E S E R V E B A N K O F ST. L O U IS An additional unit of capital used per period, hold ing other resource employment constant, generates additional output and revenue per period. The prof itability of employing additional capital depends upon a comparison of the additional receipts and the price of the additional capital. The optimal employment of capital occurs when all profitable opportunities which yield greater net revenues than their associated costs have been exhausted. Thus, at the margin, the optimal employment of capital occurs when the value of the marginal product of capital goods equals the rental price of capital goods. Such a condition may be writ ten as: (1 ) MAY 1979 F ig u r e 1 The Effect o f H igh e r Energy P rice s on the D e sire d Stock of C apital P , f* = P k where Px is a given price of product x, fK is the mar ginal product of capital goods (the additional output produced with the addition of a unit of capital, hold ing other resources fixed), and PK is the rental price of capital. A similar relationship holds for the em ployment of every other resource used by an econom ically efficient firm. The principle of diminishing returns plays an im portant role in the determination of the optimal cap ital usage. The use of more plant and equipment leads to greater output, but successive additions of capital result in successively smaller additions to out put, unless more of other resources are also employed. Thus, at some point, the additional output generates additional revenues sufficient to cover only the price of capital. In short, the value of the marginal product [designated PxfK in equation (1) ] declines as employ ment of capital increases, other resources remaining the same. An increase in the price of energy resources affects costs of production and prices throughout the econ omy. The unit cost of existing output and the cost of producing additional output tend to rise in proportion to the share of total cost attributable to energy re sources. Moreover, firms reduce energy use as it be comes more expensive relative to output prices. A reduction of energy use, in turn, reduces the marginal productivity of other resources. Employment of a non-energy resource will tend to decline unless its price relative to the output price (e.g., PK/PX for capital) falls proportionately with the decline in its marginal product, (e.g., fK for capital). Should such a decline occur, there would be no change in the optimal employment of the resource, since equation (1 ) would hold at the employment rates which were optimal prior to the energy price boost. It is unlikely, however, that such a decline in the “real price” of capital (the price of capital relative to the price of output) would occur for the typical firm. If the share of energy costs in the production of capital goods is the same as the average cost share for all output, then the price of the nation’s capital goods will rise in the same proportion as the prices of all other products. The real price of capital goods is essentially unchanged, while the marginal productiv ity of capital goods is lower. Thus, the desired employ ment of capital will fall. Investment slows temporar ily to adjust the actual stock of capital to the lower desired amount. If the production of capital goods uses relatively more energy than production of other goods, the price of capital goods rises even more than output prices. Since the rental price of such goods is directly pro portional to the price of the goods, the real rental price of capital would rise, further reducing both the desired capital stock and investment.3 The failure of the relative cost of capital to de cline provides an incentive for firms to reduce their desired stock of capital along with energy usage. The effect on the aggregate desired stock of capital may be seen in Figure 1, where initially the demand curve D indicates the aggregate demand for capital at alter 3The analysis here can be used to find the inter-industry invest ment effects of higher energy prices. These are explored more fully in Tatom, “The New Energy Regime and Investment.” Differential adjustments across industries can be expected pri marily because the relationship of product prices to the prices of capital goods is affected differently across industries in response to an energy price increase. Page 3 F E D E R A L R E S E R V E B A N K O F ST. L O U IS native prices of capital relative to the price of out put, pK- Factors which affect the desired stock of capital other than the relative cost of its services are held constant along D. Initially, the economy is as sumed to be in equilibrium, given the relative price of capital p0, holding the actual capital stock, K„. MAY 1979 C h a rt I Relative Price of Energy* lnde* Index I 97 2 = , ° Q u a r t e r ly D a t a 1 9 7 2 = 1 .0 A rise in the relative price of energy shifts the de mand for capital downward, as less energy is used to produce output with any given stock of capital and given flow of labor services.4 In effect, the downward shift in demand to D ' indicates a decline in the mar ginal productivity of capital due to employment of less energy. If the real price of capital remains at p„, however, the desired capital stock falls to Ki. In the aggregate, investment declines so as to reduce the capital stock from K0 to Kj. A rise in the relative price of energy will cause an initial reduction in output, induced primarily by a reduction in the use of energy resources. If the price of capital rises with the price of output, the desired capital stock is also reduced. Since capital is more expensive relative to its productivity, firms will also economize on its use, temporarily reducing investment.5 So u rc e s: U.S. D e p a rtm e n t of L a b o r a n d U .S. D e p a rt m e n t of C o m m e rc e II. The Evidence There are two basic implications of this theory. First, a rise in the price of energy relative to output leads to a decline in the productivity of existing cap ital and labor resources. Second, aggregate invest ment will slow temporarily, reflecting a decline in firms’ desired capital use. The first implication has been supported by an earlier study which showed that a rise in the rela tive price of energy reduces output, holding constant *T h e P r o d u c e r P rice In d e x o f Fuels, P ow er, a n d R e la t e d P ro d u c ts d iv id e d b y the Im plicit Price D e fla to r for the P riv a te B u s in e s s Sector. L ate st d a ta plotted: 4 th q u a r t e r hours of employment and the flow of capital services." The period studied is 1948-75, but similar results are reported for the period prior to the sharp rise in energy prices in 1973. A recent estimate of the quar terly production function (1/48-11/78) is: y h In ( [ - ) = 1.5492 + .7135 In (-=-) k (16.33) (21.69) k (2 ) — 4At K0 along D', the relative price of labor is sufficiently lower for the quantity of labor to be the same as along D. This as sumes that the supply of labor to the economy is fixed and that the shift downward in the marginal product of labor is reflected in a decline in the real wage. Whether the supply of labor is affected by an energy-induced fall in the real wage is unclear. So-called income and substitution effects of a real wage decline may lead to reductions in labor supply, while an associated decline in the real value of monetary and physical wealth tends to increase labor supply. The net effect is as sumed to be zero here. Leonall C. Andersen, “An Explanation of Movements in the Labor Force Participation Rate, 195776,” this Review (August 1978), pp. 7-21, provides evidence that the permanent net effect arising from the 1974 expe rience is zero. 5The results explained in this section may be derived using a simple aggregate model of output supply and factor employ ment. See the Appendix at the end of this article. Page 4 IV = .98 S.E. = .007 .1081 In ( — ) + .0045 t ( —6.42) p (15.86) D.W. = 1.92 p= .79 where y is real output in the private business sector, k is a measure of the flow of capital services [the product of the Federal Reserve Board capacity utili zation rate and the net stock of private nonresiden•'See Robert H. Rasche and John A. Tatom, “Energy Resources and Potential GNP,” this Review (June 1977), pp. 10-24, and “Potential Output and Its Growth Rate — The Domi nance of Higher Energy Costs in the 1970’s,” in U.S. Pro duction Capacity: Estimating the Utilization Gap (St. Louis: Center for the Study of American Rusiness, Washington University, Working Paper 23, December 1977), pp. 67-106. F E D E R A L R E S E R V E B A N K O F ST. L O U I S MAY that the price of capital goods relative to output prices did not fall subsequent to the energy price increase. C h o r l II R e la t iv e Price o f C a p i t a l G o o d s * S o u rc e s : U.S. D e p a rtm e n t o f C o m m e rc e a n d U.S. D e p a r t m e n t o f L a b o r S h a d e d a r e a s r e p r e s e n t p e r i o d s o f b u s in e s s re c e ssio n s. N o te : First q u a r te r 1 9 4 7 = 1 0 0 *R a tio o f the Im p lic it P rice D e fla to r of N o n re sid e n t ia l Fix e d In ve stm e n t to the Im plicit Price D e fla to r for the P riva te B u s in e s s Sector. L atest d a t a plotted : 4th q u a r t e r tial fixed capital], h is manhours in the private busip ness sector, ( ^ ) is the producer price index for fuel, related products, and power deflated by the private business sector price deflator, and t is a time trend. The numbers in parentheses are t-statistics. The significant negative impact of the relative price of energy on output per unit of capital indicates the existence and extent of a productivity loss associated with a rise in the relative price of energy. Chart I shows that, from the second quarter of 1972 through the end of 1977, the relative price of energy rose 60 percent ( all percentages are measured as first differ ences in logarithms). The direct loss in productivity (measured relative to labor or capital) is 6.5 percent (60 X .1081) according to the production function above. Two-thirds of this loss occurred during the year from the third quarter of 1973 to the third quar ter of 1974, when the relative price of energy rose 40 percent. The second major implication of the analysis is that the aggregate desired stock of capital declined due to the sharp rise in the price of energy relative to the price of output, and that the recent sluggish pace of business investment is due, in large part, to this decline. This result rests upon the assumption 1979 In Chart II, the price of new capital goods relative to the price of output is shown for the period 1947-78. It is clear from the chart that the relative price of capital goods did not decline subsequent to the sharp rise in the relative price of energy in 1973-74. Instead, it increased until early 1975, and has been fairly stable since. The rise in the real replace ment cost of capital during 1973-74 may have occurred because the production of capital goods is relatively more energy intensive than the production of private output generally. In this case, the price of capital goods would rise more than the average level of output prices when energy costs rise. The increase in the real replacement cost of capital goods further reduces the incentive to invest. Chart III shows quarterly estimates of the net stock of fixed nonresidential capital from 1948-78.7 The trend rate of growth of the stock of plant and equipment from 1948 to the first quarter of 1975 is 4.1 percent. As the chart indicates, the rate of growth slowed markedly during 1975-77. From 1/75 to IV/77, the annual rate of growth averaged only 2.3 percent. Some slowdown in the rate of capital accumulation might be expected due to the prior recession and ac companying lower levels of capacity utilization and employment from III/74-I/75. A visual comparison of earlier recoveries following the shaded recession peri ods in Chart III indicates that the recent slowing is unusual compared to prior early expansion periods. "The estimates are constructed by interpolating the end of year net stock prepared by the U.S. Department of Commerce for the period 1948-75. The interpolation uses quarterly rates of constant dollar nonresidential fixed investment in the GNP accounts as weights in finding end-of-quarter net capital stocks. After 1975, the estimates are based upon the prior ( II/48-IV/75) relationship of the rate of nonresidential fixed investment ( I t ) and the lagged net capital stock, to account for depreciation. The equation ( t - statistics in pa rentheses ) is: AK, = 1.012 + .2457 I, - .0252 K, , (4 .5 ) (2 9 .2 ) (-2 1 .4 ) R2 = .98 S.E. = .37 D.W. = 2.10 p= .49 Page 5 F E D E R A L R E S E R V E B A N K O F ST. L O U IS MAY 1979 C h a rt III Net Capital Stock S h a d e d a r e a s r e p r e s e n t p e r i o d s o f b u s in e s s re c e s s io n s . B q s ic d a t a so u rc e : U.S. D e p a r t m e n t o f C o m m e r c e P e rc e n ta g e s a r e a n n u a l rates of c h a n g e for p e rio d s indicated. L a te st d a t a plotte d : 4th q u a r t e r 1 9 7 8 The slowing in capital investment is even more apparent when viewed relative to the growth of po tential private sector employment. Chart IV shows the historical growth pattern of the capital stock relative to the high employment supply of workers. The capital stock in any quarter is measured by the existing stock at the end of the prior quarter. Poten tial private business sector employment is measured by adjusting the actual labor force, less employment outside the private sector, for the full-employment unemployment rate.8 In effect, the employment meas ures are estimated under full employment conditions. Until the third quarter of 1973, the ratio of available capital to available labor grew at an annual trend rate of 2.9 percent. From the third quarter of 1973 until 8The full-employment unemployment rate series used is that developed by Peter K. Clark, “Potential GNP in the United States, 1948-80,” in U.S. Productive Capacity: Estimating the Utilization G ap (St. Louis: Washington University, Center for the Study of American Business, 1977), pp. 21-66. The series is constructed to find an unemployment rate compa rable to four percent in 1955, after adjustment for changes in the age ana sex composition of the labor force. Page 6 the end of the recession, the growth rate slowed. Dur ing the ensuing expansion, the ratio of capital stock to potential employment remained virtually unchanged. Chart III and IV provide illustrations of the slow down in capital accumulation implied by the theory above, and support the claim that this energy-induced slowdown in capital growth caused a temporary re duction in the growth rate of potential output after 1973.9 Two questions obviously arise, however. First, how large is the energy-induced reduction in the capital-labor ratio, and to what extent has it already occurred? Second, how large are the energy-induced output and capital stock reductions along a high-employment growth path, when the effects of higher energy prices are aggregated? The output effects are (1 ) the short-run loss in productivity, given capital 9See Rasche and Tatom, “Potential Output and Its Growth Rate.” The estimate of the potential growth rate is three percent from early 1975 through mid-1977. This slowing should not be confused with the once-and-for-all decline in productivity, given capital and labor, implied by the theory and evident in 1974 productivity developments. F E D E R A L R E S E R V E B A N K O F ST. L O U IS MAY 1979 C h a r t IV Full-Em ploym ent C a p ita l-L a b o r Ratio in the Private Sector R a t i o Sc a l e T h o u s a n d s of D o l l a r s (1972 Dollars Per Worker) R a tio Scale T h o u s a n d s of D o l l a r s 16 16 1948 1950 1952 1954 1956 1958 1960 1962 1964 1966 1968 1970 1972 1974 1976 1978 1980 * A n a n n u a l trend rate of g ro w t h (2 .9 % ) is e stim a te d b y a re g re s s io n o f the lo g a r it h m o f the c a p it a l- l a b o r ratio on tim e fo r the p e r io d 1 / 1 9 5 0 — 11/1972. S h a d e d a r e a s r e p r e s e n t p e r i o d s o f b u s in e s s r e c e s s io n s . L a t e s t d a t a p lo tte d : 4th q u a r t e r 1 9 7 8 B a s ic d a t a s o u rc e s : U.S. D e p a r t m e n t o f C o m m e r c e a n d U.S. D e p a r t m e n t o f L a b o r and labor employment in the United States, and (2 ) the loss in output due to the long-run adjustment to the energy-induced decline in the capital-labor ratio.10 mates of a and y, found from the estimated equation (2) , with standard errors are: These questions may be answered using the esti mate of the production function given in equation (2). The percentage change in output for a one percent rise in the relative price of energy in the long run The short-run capacity loss for each one percent in crease in the relative price of energy is found from the coefficient on the energy price in equation (2), is (-■“ )> where a and y are the output elasticities (3 ) a = .6439 (.0271) y = .0976 (.0137) which is an estimate of )> or in this case, v1 - y ' of iabor and energy employment, respectively.11 Esti -.1081. The total response (~~~) measures the long- 10A third effect, due to an energy-induced rise in the relative price of capital, has not been well substantiated by detailed econometric analysis and so it is not incorporated in the estimates in the text. To the extent such an effect exists, the estimates below are too low. run effect when capital employment adjusts to its long-run equilibrium, given an unchanged real price of capital. The estimates in (3 ) indicate that the longrun output effect is 40.2 percent larger (-.1516) than the short-run effect. For the rise in the cost of energy from mid-1972 through 1977, the short-run output 11The production function is y = Aerl h" k0 E7, where E is energy and a, |3, y, the output elasticities of the respective inputs which seem to unity. See Rasche and Tatom, “Energy Resources and Potential GNP.” The derivation of the expres sion used here follows from mathematical conditions re quired for efficient long-run employment of capital and energy, given the aggregate supply of labor and the real rental price of capital. This expression and other mathemati cal results below are derived in the Appendix. Page 7 F E D E R A L R E S E R V E B A N K O F ST. L O U IS MAY loss is 6.5 percent while the long-run response allow ing capital to adjust is 9.1 percent.12 The total effect on the demand for capital may be found from the condition for profit-maximizing capi tal demand, pk = (3^, where (3 is the output elas ticity of capital and pk is the price of capital relative to the price of output. Given pk and the parameter P, the ultimate percentage decline in the desired capital stock must equal the percentage decline in output in order to maintain the equality. The elas ticity measure for the total output response above is -.1516. Thus, the 60 percent rise in the rela tive price of energy from mid-1972 through 1977 would reduce the capital-labor ratio by 9.1 percent along its new long-run growth path.13 The decline in the actual capital-labor ratio relative to its past trend is 12 percent, when the trend is extrapolated from mid-1972 through the end of 1977, consistent with the reduction indicated by energy price considera tions alone. The results indicate the costs associated with the rise in the relative price of energy from 1972-1977. In terms of output, the cost of the adjustment by the end of 1977 was a 9.1 percent reduction, much of which occurred during the period from 111/73 to 111/74. Most of the loss was due to the direct effect on productivity of a higher relative cost of energy and changes in resource allocation, given domestic capital and labor resources. An estimated 2.6 percent age points of the loss in output occurred subsequently, due to the energy price-induced slowing in capital formation. The net capital stock at the end of 1977 in the estimates above is $1,031.8 billion (1972 prices), while the estimates imply it would have been $98.3 12If the price of capital goods relative to output prices is affectecl by the rise in energy prices, then another element , , , , , , , / P di n Pi must be added to the long-run output loss ( - a ^ billion larger in the absence of the dramatic change in energy costs over the preceding five years.14 III. The Remaining Adjustment and Recent Developments Energy prices in world markets have not fully ad justed to past OPEC actions because of U.S. energy policy. Decontrol of the U.S. petroleum market will complete the adjustment and will further affect future production. Since 1973, the primary component of energy policy has been the entitlement program. This program was intended to hold the cost of petroleum to U.S. refiners below the OPEC price to allow for a longer transition period to the higher prices. The average cost of crude oil to refiners at the end of 1977 was about 18 per cent below the cost of imported oil.15 An earlier analy sis indicates that, based on this difference, the end of the entitlements program would add about 7.8 per cent to the relative price of energy resources.16 This increase results from a direct effect on the price of refined products, cost effects on competing energy producers, and substitution effects among energy uses. Given the estimates of the short-run and longrun impacts of higher energy costs above, it is possi ble to assess the output loss in the short and long run due to this change. In the short run, the output loss is less than 1 percent. Even allowing for the effects on the demand for capital, the total long-run effect is a loss in output and capital stock of 1.2 percent. This loss should be regarded as a maximum esti mate, had the crude oil market been completely decontrolled at the end of 1977. The reason is that such a policy would increase the responsiveness of world (U.S.) petroleum supplies to the world price, increasing the elasticity of demand faced by the domi nant firm, the OPEC cartel, and putting downward pressure on their optimal price. Thus, the effect of p )> where P is the output elasticity of capital. One simple esti mate of the price responsiveness, for quarterly data from 1948-77, is .0564 when the logarithm of the relative price of capital is related to the logarithm of the relative price of energy and constant, and the equation is estimated using the Cochrane-Orcutt technique. The addition to the output v elasticity ( - — = -.1 5 1 6 ) is 2.27 percent. Thus, a 60 per cent in energy prices would add only about 1.4 percent to the output loss over the long run. 13Accounting for the energy price effect on the relative price of capital would add .0791 to the capital elasticity (in abso lute value), implying a 13.8 percent reduction in the capital stock. Digitized forPage FRASER 8 1979 14This estimate is very close to that by Edward A. Hudson and Dale W. Jorgenson, “Energy Prices and the U.S. Econ omy,” Natural Resources Journal (October 1978), pp. 87797, and Data Resources U.S. Review (September 1978), pp. I.24-I.37. They estimate that by the end of 1976, the U.S. capital stock was $103 billion (1972 prices) lower than it otherwise would have been due to energy price developments. 15This is the percentage excess of the refiner acquisition cost of imported crude oil over the composite cost in late 1977 reported by the Department of Energy, Monthly Energy Review (August 1978), pp. 58. 16See Rasche and Tatom, “Potential Output snd Its Growth Rate,” pp. 93-97. F E D E R A L R E S E R V E B A N K O F ST. L O U IS decontrol on production and investment would have been slight in the United States. During 1978, there was little change in the relative price of energy. Although the pace of capital accumu lation increased during the year — the net stock of capital grew 3.5 percent from the end of 1977 to the end of 1978 — the capital-labor ratio was virtually unchanged. During the year, the gap between the U.S. average cost of crude oil and the world price narrowed, averaging about 12 percent by the end of 1978. Thus, the implied impact of domestic petroleum market decontrol was reduced sharply.17 Political developments in the Middle East late in 1978 and early in 1979 led to a sharp disruption in pe troleum supplies and subsequently changed the struc ture of OPEC supply. Coincident with these develop ments, OPEC announced an increase in the cartel price of crude oil by about 14 percent during 1979. OPEC later adjusted to supply developments by hastening the announced increase and by allowing in dividual countries to impose additional surcharges on production. The result has been another round of boosts in petroleum prices in the world market and, indirectly, the prices of other sources of energy. It is tenuous to speculate on the final outcome of recent developments on the price of OPEC crude oil and the impact on U.S. energy costs. However, nom inal energy prices have risen at a 31 percent annual rate from November 1978 to May 1979. Based upon an 8.5 percent rate of increase of the implicit price deflator for private business sector output from the fourth quarter of 1978 to the first quarter of 1979, the relative price of energy has been rising at about a 22 percent annual rate. During the six-month period from 17The estimate of this difference is based upon an imputed cost of imports and U.S. average cost of all crude oil found by adding the price of an entitlement to the wellhead price of lower tier oil, plus twenty-one cents, to find the average world price. The domestic cost is found by subtracting the entitlement benefit from import cost. The calculation uses quarterly averages of monthly figures. The comparable figure for the fourth quarter of 1977 is 16 percent. Data on the refiner acquisition cost of imported oil during the fourth quarter of 1978 is not available at the time of this calcula tion. The data and definitions of terms are from the Monthly Energy Review (April 1979). A more detailed discussion of these terms and the analysis of the entitlement program may be found in John A. Tatom, “Energy Policy and Prices,” Business Economics, (January 1979), pp. 14-22. MAY 1979 November to May, the relative price of energy in creased about 11 percent, implying a short-run pro ductivity loss and price level rise, according to the estimates above, of 1.2 percentage points. The implied long-run productivity and capital stock reduction is 1.7 percent.18 IV. Conclusion The large increase in the cost of energy resources from 1972 to 1977 has had profound effects on pro ductivity, investment, and the long-term growth path of the U.S. economy. In addition to a direct loss in productivity of about 6.5 percent, a reduction in the desired capital-labor ratio has further aggravated pro ductivity growth. Since 1975, growth in the capital stock has barely kept pace with growth in the labor force available to the private sector. This develop ment represents a significant departure from the trend growth in the oapital-labor ratio, a trend which contributed significantly to overall economic growth in the United States prior to 1973. The analysis and estimates here indicate that a drop of at least 9 percent in the desired capital-labor ratio is to be expected from the sharp rise in the rela tive cost of energy which occurred from mid-1972 through 1977. This represents about three years growth in capital relative to labor on the pre-1974 trend. Once such an adjustment is completed, there is no reason to presume that other forces contributing to capital formation will be offset by the effects of past energy price changes. Unfortunately, recent events in the world petroleum market suggest that another round of lesser adjustments of resource allocation, capital formation, and economic growth will occur before such forces again dominate the scene. 18Of course, these increases do not fully reflect OPEC actions as existing policy insulates U.S. energy prices from OPEC actions. Thus, recent energy price increases in the United States ( and their effects) are only about half as large as they would have been otherwise. The remainder of the increase will be phased in over the next eighteen months under the administration’s decontrol proposal. It would be erroneous to conclude that these developments increase the cost to U.S. consumers of a decontrol program, since decontrol yields pos itive net benefits to U.S. consumers. The adverse impacts as sociated with such a program are indeed larger, but the net benefit to eonsumers of decontrol is correspondingly larger. See Tatom, “Energy Policy and Prices.” Page 9 F E D E R A L R E S E R V E B A N K O F ST. L O U IS MAY 1979 APPENDIX Higher Energy Costs: The Long Run and the Short The results discussed in this paper may be demonstrated using a simple model of aggregate production. Consider a general aggregate production function with the assumption of profit-maximization and the most general assumptions for short- and long-run resource constraints. Assume that aggregate output, y, depends upon the use of labor (h ), capital (k ), and energy (e ), y = f (h, k, e ), given tech nology. The short run is characterized by fixed supplies of labor and capital resources (h", k") and by a given relative price of energy resources, p°, determined in the world mar ket. In the long run, the supply of capital is variable as firms can add to or subtract from the stock of capital depending on their incentives. The relative price of capital (measured relative to the price of output) is assumed to be given in the long run. The long-run supply of labor and relative price of energy are assumed to be the same as in the short run (h°, p°). The profit-maximizing choice of an input is determined by equating the marginal cost (price) of the resource to the value of its marginal product, f; = plt where f; is the Table I A Simple Model of Aggregate Supply and Resource Markets Production Function: y = f(h, k, e) First-Order Conditions For Profit-Maximization: Ph = fh p i = fk p» = f« Short-run Resource Supply Assumptions: h = h” k = k° p. = p? Long-run Resource Supply Assumptions: h = h° pk = pS p. = pS Definitions: y = h= k= e= Pt, = output labor capital energy wage of labor relative to the price of output pt = rental price of capital relative to the price of output pe = price of energy relative to the price of output 10 Digitized forPage FRASER marginal productivity of resource i ( dy ) and pi is the rental price of the resource relative to the price of aggre gate output. The production function, profit-maximizing demand for each of the three inputs, and the three supply equations which hold in the short run or the long run can be used to determine output and employment of each re source as well as their relative prices. The short-run and long-run models are shown in Table I. By differentiating each system of equations, the short-run and long-run re sponse to a rise in the relative price of energy may be found to be those indicated in Table II. The critical unknown determinant of the effects shown in Table II is the sign of fy for i, j = k, h, e. This term indicates the effect of an increase in the employment of factor j on the marginal productivity of a resource i. The typical response is positive; employment of more of one resource is generally responsible for increased marginal productivity of the other resources.1 The generality of the results in Table II indicates the importance of the sign of fij. The signs of fec, fkk, fhh are assumed to be negative, indicating diminishing returns to the employment of each resource. The short-run output effect discussed in the text rests upon the assumptions of a positive marginal product of energy and diminishing returns to the employment of energy resources, given capital and labor. The effect arises solely due to the reduction of energy employment, given the assumptions concerning the supply of labor and capital. Under the assumption that energy resources augment the marginal productivity of capital and labor, the real rental price of capital and labor must fall to maintain their em1TVie term fij is positive in the three factor Cobb-Douglas pro duction function where the resources are substitutes, or Ou > 0. The term fij is also positive if Otj < 0, or the resources are complements. The determinant of the negative _capital stock effect can be referred to as “q-complementarity” which must be the case if Otj < 0 and will be the case for CobbDouglas and CES production functions where Otj > 0, or resources are “p-substitutes.” On this terminology and these relationships, see John R. Hicks, “Elasticity of Substitution Again: Substitutes and Complements,” Oxford Econom ic Papers, 22, no. 3 (November 1970), pp. 289-296, and Ryuzo Sato and Tetsunori Koizumi, “On The Elasticities of Substitu tion and Complementarity,” Oxford Econom ic Papers, 22, no. 1 (March 1973), pp. 44-59. Whether capital and energy are substitutes or complements (in the “p” sense) is a continuing controversy. See Ernst R. Bemdt and David O. Wood, “En gineering and Econometric Interpretations of Energy-Capital Complementarity,” American Econom ic Review , (June 1979), pp. 342-354. Fortunately, the issue does not affect the capital stock-investment result, but it is important for such questions as short-run output supply effects and changes in the amount of energy used per unit of capital. F E D E R A L R E S E R V E B A N K O F ST. L O U IS MAY 1979 Table II The Effect of a Rise in the Relative Price of Energy Short Run ~ . ° utPut: Labor Employment: fe dy “5 7 = ^ = T.7 „ „ < 0 0 dc Energy Employment: Relative Price of L ab o r: Relative Price of Capital Services: * |D( = - ( f = 0 = J~ = fc7 < 0 --------------------\ d \-------------------< f. „ f— < 0°* 0 dp* "d^T 1 < 0 s8 (ink £ < 0 fc. "dp~ = fkk fee - fke ) - ( f c fkk - fk fke) „ „„„ ---------- |D!---------- < 0 0 11 Capital Employment: “jp Long Run” „ < 0 ( fck fce - fck fce) , ... 0 < 0. ‘ “Sign depends upon fc« and/or fc« > 0. ployment. If energy employment has no effect on the pro ductivity of capital and labor, no shift in demand for capital and labor occurs. If increases in energy employ ment reduced the marginal productivity of labor or capital, the demand price of the factor would rise. The long-run effects of a rise in the relative price of energy are also unambiguous, given that fke > 0. Not only are output and energy usage reduced as in the short run, the employment of capital is also reduced. Of course, this result arises from a temporary reduction in investment to achieve the smaller amount of capital desired. The results show that the economy will reduce the use of capital goods since they have become more expensive in relation to the productivity of such goods. Subtracting the long-run out put effect from the short-run effect results in: . . fke ( fe fke fee |D fk fee ) | which is positive, given that fke is positive (fee, |D[ < 0 ). Thus, the long-run output effect of the rise in the relative cost of energy is larger than the short-run effect. Similar computations indicate that the long-run reduction in en ergy usage and the decline in the real wage rate of labor are also larger than in the short run. The increased size of the long-run effects arises from the reduction of capital employment through a temporary reduction in investment. For the particular case of a Cobb-Douglas production function, the model is even simpler. The production func tion is y = A h“ k? e?, where ex, |3, y are the respective output elasticities of the inputs: labor, capital, and energy and they sum to one. The term A is a scale factor; a rate of neutral technological change (r) over time (t) is omit ted here for simplicity and to avoid notational confusion. Yy The first order conditions are: pe = — , ph = -g , and pk = (3y k . For the analysis in the text, it is most convenient to compute the effects in Table II in elasticity form. Since labor and the relative price of energy are fixed in the short and long run, the production function can conveni ently be rewritten as: (2) In y = In A* + In h + In k - ^ y " ln by substituting the first-order condition for energy employ ment in the production function. Then, given labor and capital employment, the short-run effect of a rise in the , ,. . r _ . d In y _ y ----- y_y . relative price or energy is ^ The first-order condition for capital employment re quires: In k = In P + ln y - In pk. In the short-run (d ln k = 0 ), a decline in output is reflected in an equal percentage decline in the real value of capital, pk. The longrun results require d ln pk = 0, so d ln k = d ln y. Substitut ing the expression for ln k in (2) and differentiating with re, , . d In y d ln k y spect to In pe results m given pk and h. The implied long-run decline in the real wage ( ) is also ( - ^ ), given labor employment and the real price of capital. Page 11 Monetary Targets —Their Contribution to Policy Formation Remarks by LA W REN CE K. ROOS, President, Federal Reserve Bank of St. Louis Before a Conference on Monetary Targets, The City University, London, England, May 10, 1979 F IRST of all, I want to thank the organizers of this conference for inviting me to participate in these very timely discussions. I can recall no period in recent history when economic issues have weighed as heavily on people’s minds as they do now, and it is encourag ing to know that so many of you, representing differ ent nations and diverse points of view, are devoting your time and talents to search for a better way to assure the future growth and stability of the econo mies of the Free World. In my remarks this afternoon, I shall concentrate on monetary policymaking as it is conducted in the United States with specific attention to monetary ag gregate targeting. In so doing, I will first describe the process of monetary policymaking in my country, follow that with a discussion of some of the problems inherent in that process, and finally, offer for your consideration some recommendations for changes which I believe would alleviate at least some of the present causes of economic instability. From the outset, it is only fair to admit that my viewpoint is neither reflective of the prevailing opin ion within the Federal Reserve System nor does it enjoy the enthusiastic support of all opinion-molders within the United States. While this lack of wide spread acceptance occasionally generates a degree of frustration for me and my colleagues at the Federal Reserve Bank of St. Louis, it does not diminish our concern that current monetary policymaking prac tices are not achieving the goals for which they are intended. We are convinced that, in order to minimize the instability that has become characteristic of eco nomic events over the past two decades, we must take a fresh approach to policymaking. Proceedings of this conference will be published by Macmillan later this year under the title, “Monetary Targets. ’ Edited by Professor Brian Griffiths and Geoffrey E. Wood of the Centre for Banking and International Finance, The City University, London, England. 12 Digitized Page for FRASER I also want to emphasize that I am fully aware that the recommendations I shall present will not, in themselves, assure the immediate or painless eradi cation of inflations and recessions. But, if they will at least enable us to eliminate money-induced eco nomic fluctuations, we will have accomplished signifi cant progress. Let’s first consider the process by which U.S. mone tary policy is currently conducted. I am sure you are aware that since the development of the Federal funds market, the commercial banking system in the United States in general does not main tain any substantial excess reserves. As a result, sub stantive increases in deposits and, thus, in money stock can occur only if the Federal Reserve supplies additional reserves to the banking system, either through its open market operations or through a re duction in reserve requirements. Since reserve re quirement changes are infrequently used to affect re serve availability, open market operations are in reality our principal tool of money management. As you know, the Federal Open Market Committee of the Federal Reserve meets ten times each year and at each meeting establishes two primary targets: a range for the Federal funds interest rate and a growth range for the monetary aggregates. These targets are set by a majority vote of the Federal Open Market Committee and a directive is given to the open mar ket trading desk at the Federal Reserve Bank of New York to implement the decisions of the Committee. If market forces threaten to move the Federal funds rate above the upper limit of the Committee’s pre scribed range, the trading desk, in order to resist the rise in the Federal funds rate, purchases securities in the open market, thereby supplying additional re serves to the banking system. Conversely, if the mon etary aggregate growth rates reach the upper limits of their ranges, the desk withdraws reserves by selling F E D E R A L R E S E R V E B A N K O F ST. L O U IS MAY 1979 securities, thereby limiting money expansion and caus ing upward pressure on the Federal funds rate. interest rates, even if it has meant destabilizing money growth. A problem arises when both the Federal funds rate and the growth of monetary aggregates simultaneously reach the upper or lower limits of their prescribed ranges. When this happens, the Open Market Desk faces a dilemma of whether to let the Federal funds rate exceed its prescribed limits in order to keep money stock growth within established ranges, or to let money overshoot or undershoot its target range in order to meet the prescribed Federal funds target. The procyclical effect of this bias toward interest rate stabilization has contributed materially to the host of economic ills that have plagued our nations — accelerated inflation, deepened recessions, incompati ble monetary growth among nations, exchange rate volatility, domestic and international trade restrictions, and, in all probability, lower economic growth than would otherwise have occurred. Because interest rate stabilization has had these undesirable effects, it is only natural to question why, after all that has hap pened, we continue to use, defend, and protect inter est rate targeting as a preferred method of policy making? There are several contributing factors. Let’s examine the published history of the behavior of interest rates and the monetary aggregates in the period since long-term monetary aggregate growth ranges were first announced in 1975. In the forty-seven months in which short-term policy ranges have been set, the Federal funds interest rate has fallen outside of its target ranges only five times; in the same fortyseven periods, M-1 growth has fallen outside of its ranges twenty-three times, essentially 50 percent of the time. The monetary aggregates (M-1) have tended to exceed their targets during periods of rising Federal funds rates, to fall short of their targets during periods of falling Federal funds rates, while usually remaining within their targets during periods of stable Federal funds rates. For example, from June to December 1976, the Federal funds rate fell from 5.6 percent to 4.5 percent and monetary aggregates fell short of their target ranges three out of seven months. From April to October 1977, when the Federal funds rate rose from 4.7 percent to 6.5 percent, the monetary aggre gates exceeded their targets five out of seven months. From October 1977 to March 1978, the Federal funds rate remained fairly stable at approximately 6.6 per cent, and monetary aggregates remained within their ranges. Two conclusions can be drawn from these observa tions. First, it is clear that in periods of incompati bility between the Federal funds ranges and the mon etary aggregates targets, the Federal funds rate has reigned as the primary target in the conduct of mone tary policy, and adherence to monetary aggregate ranges has played, at best, only a secondary role. Secondly, the principal thrust of monetary policy has been to stabilize the Federal funds rate and to resist both upward and downward market pressures on in terest rates, even if it has meant permitting the growth of monetary aggregates to fall outside of their ranges. Thus, monetary policy in the United States, either by design or by default, has been fashioned to stabilize The first — and perhaps the most troublesome be cause it represents a crucial analytical error on the part of monetary policymakers — is a failure to dis tinguish between the economic consequences arising from changes in people’s demand for money and those created by changes in credit markets. Changes in money market conditions and changes in credit market conditions have substantially different eco nomic effects and require fundamentally different mon etary policy responses. Interest rate stabilization is a justifiable monetary policy response to changes in money demand but leads to significant procyclical consequences when used to resist changes in the credit market. To illustrate what I mean, let’s examine the effects of changes in the demand for money. People — house holds and businesses — tend to hold a certain amount of money in cash or similar liquid assets for their present spending needs and for protection against unforeseen future needs. The amount of such assets they desire to hold varies from time to time. A funda mental goal of monetary policy should be to provide enough money to satisfy people’s money demand. If individuals and businesses want to hold more money, it is the responsibility of the central bank to supply the necessary amount of money to satisfy that desire. If they want to reduce their money holdings, the money supply should be reduced. Consider how interest rate stabilization fits into this money demand equation. If individuals and busi nesses decide for one reason or another to increase their holdings of cash balances, they can do so either by reducing their spending or by selling off other assets. In either case, the normal result is an increase in interest rates, a decline in demand for newly-pro duced goods and services, a decline in output, and Page 13 F E D E R A L R E S E R V E B A N K O F ST. L O U IS a decline in prices. Assuming that the legitimate goal of monetary policy is to achieve stability of output and prices, the correct policy response to increases in money demand is to supply more money to the economy. This, in turn, has the effect of exerting downward pressure on interest rates and preventing decreases in output and prices. Thus, interest rate stabilization is justifiable when it is used as a response to changes in the demand for money. Interest rate stabilization, however, is not an appro priate response to increases in the demand for credit. If individuals or businesses resort to borrowing in order to expand their current spending, the results are significantly different from those I have previously discussed in connection with changes in money de mand. Increased borrowing causes interest rates to rise. However, neither output nor the price level is necessarily affected by such increased borrowing, as any increased spending by borrowers is offset by reduced spending on the part of lenders. Since credit demand tends to rise in periods of economic expan sion and fall in times of contraction, monetary policy geared toward increasing the money supply to resist increases in interest rates emanating from rising credit demand merely adds to the underlying growth of spending. Conversely, reducing the money supply to resist reductions in interest rates during periods of decreasing credit demand results inevitably in aggra vating the downward movement of output and prices. Thus, efforts by monetary policymakers to stabilize interest rates in the face of fluctuations in credit demand have the effect of accentuating rather than stabilizing changes in output and prices. Much of the inflation we are presently experienc ing can be attributed to monetary policy directed toward the stabilization of interest rates in times of rising credit demand. This, in turn, has reflected a failure on the part of policymakers to differentiate between the economic consequences of money market disturbances and those created by changes in credit markets. A second factor contributing to continued concen tration on interest rate stabilization is a fundamental misconception of exactly what monetary policy can and cannot accomplish. Regardless of its goals and purposes, monetary policy as practiced in free market economies can directly affect only one variable, the rate of growth of the money stock. And it is the rate of growth of this variable that affects economic activity and price levels throughout the economy. Monetary policymakers frequently go astray when ever they assume that their policy actions can affect Page 14 MAY 1979 only one specific market without affecting all markets. Interest rate stabilization often carries with it the temptation to try to affect particular markets by manipulating interest rates. If, for example, policy makers assume that certain markets such as housing, credit, or the international exchange market are bell wethers of economic activity, interest rate manipula tion might seemingly offer a legitimate way to affect one or more of those markets. What they sometimes fail to take into consideration is that any attempt to use monetary policy to stabilize unemployment in a particular market will have the effect of destabilizing other markets and will lead to an increase in the general price level. Furthermore, policy aimed at sta bilizing financial markets in order to prevent interest rates from falling causes contraction in output and employment. Unfortunately, even after it becomes apparent that such manipulation causes detrimental results in other sectors of the economy, parochial pressures often persist. If it were only understood that monetary policy is a powerful tool in the stabilization of general eco nomic activity and the price level, but is a weak and very costly tool for the stabilization of individual economic sectors and markets, perhaps the bias to ward interest rate control would abate. A great im provement in the effectiveness of monetary policy could be expected if policymakers were to recognize that decisions to increase or decrease the growth of money stock can provide an environment in which free markets can function efficiently, but that their effect on particular transactions is minimal. A third reason for interest rate stabilization is the benefit it offers government. Whether we agree or disagree with the spending and revenue policies of our governments, interest rate stabilization by a cen tral bank removes an important budgetary constraint on government. As we know, expenditures by govern ment must be financed either by raising taxes or by deficit spending. In a democracy, increases in taxes are ultimately subject to review by the citizenry at the polling booth. Budget deficits financed by the pri vate sector necessarily entail an increase in interest rates to induce the public to hold more government debt and are, thus, open to public scrutiny. It is only when a central bank stabilizes interest rates that government expenditures can be increased in a seem ingly “painless” and relatively hidden manner without a tax increase or a rise in interest rates. To be sure, transfer of wealth still occurs through subsequent inflation but only with a lag of a couple of years and without clear public recognition of what induced the F E D E R A L R E S E R V E B A N K O F ST. L O U I S inflation. Thus, interest rate stabilization makes possi ble increased government spending without public awareness and without voter approval. While I am not suggesting that this practice is consciously being employed at present, it does represent a powerful in centive for government to encourage interest rate stabilization. In closing, let me summarize the points I have tried to make. I have described the mechanics of U.S. monetary policymaking and implementation. I have shown how establishing multiple targets for the Fed eral funds interest rate and the monetary aggregates has frequently resulted in incompatability, with the Federal funds rate usually emerging as the dominant target. I have suggested that, in recent years, mone tary policy in the United States and elsewhere has been directed toward interest rate stabilization. Whenever that has occurred, whether in the United States or in other nations, it has led to destabilization of economic activity and accelerated inflation. I have identified what I perceive to be some of the more important reasons for continued adherence to disproven policies: the confusion between money demand and the credit market; an unwillingness to admit that monetary policy is a very poor and very costly means of manipulating individual markets; and the fact that interest rate stabilization relieves government of important budgetary constraints. All of these are powerful social and political factors and it is not surprising that changes in the manner of conducting monetary policy are hard to come by. I am convinced that there is a better way to ac complish the goals of monetary policy. That better way is to control the growth of the money stock so that it is consistent with the potential growth of output and with a predetermined — preferably zero — rate of inflation. In order to achieve this goal, how ever, it will be necessary to abandon interest rate targeting and to announce publicly what our mone tary policy goals are and what mechanism will be used to achieve them. Only if we are prepared to take these steps can we realistically hope that mone tary policy will become a stabilizing rather than a disruptive force. I know that these proposals are not new and that contrary arguments persist against the feasibility of controlling the growth of money. Critics continue to assert that money stock growth cannot be measured with precision and thus cannot be controlled. My MAY 1979 response to that argument is that a policy of explicitly controlling the growth of money has not been given a fair chance in the United States; in other economies that have made the effort, it has worked well. A second and more serious criticism is that, if money demand changes do indeed occur, a steady growth of money stock would lead to instability in economic activity. Empirical evidence clearly indicates that, over periods of a year or more, income velocity changes very slowly and predictably. In the very few instances when sudden changes in money demand have occurred, such as the one induced by the OPEC shock in 1973 and 1974, or those induced by institu tional changes, they have been of temporary duration and were readily recognizable. Should exogenous changes occur, the rate of money growth can be tem porarily changed to meet specific situations, and such changes should be announced publicly and the ra tionale behind them explained. A third frequently directed argument against a constant rate of money growth is that, if labor unions demand wage increases or businesses set prices in excess of the rate of growth of productivity, unemployment would result. This, I think, emphasizes the critical importance of central bank credibility. If it becomes clear that monetary authorities are going to adhere to their announced money growth targets, I doubt that businesses or unions would risk the loss of sales or employment that would accompany exorbitant wage or price demands. I would stress that we can no longer enjoy the luxury of procrastination. We cannot be content merely to debate and theorize as to the best methods of conducting monetary policy. The time has come to learn from our past policy errors. Interest rate stabilization as a means of seeking economic stability has had its day in court and its results have certainly been less than satisfactory. We are still experiencing persistent and accelerating in flation, and we again face the grim prospect of re cession. If we respond as we have in the past, if we persist in repeating past errors, we will have failed in our responsibilities as monetary policymakers. We must be prepared to try new methods which offer the potential for success. Targeting on interest rates at the expense of stabilizing the growth of the money supply has brought us the situation we face today. If we feel that there is a better way — and I firmly believe there is — I suggest that we move ahead without further delay. Page 15