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Business Review Federal Reserve Bank o f Philadelphia N o v e m b e r • D ecem ber 1992 ISSN 0007-7011 Where Has All the Paper Gone? Book-Entry DeliveryAgainst-Payment Systems James J. McAndrews Business Review The BUSINESS REVIEW is published by the Department of Research six times a year. It is edited by Sarah Burke. Artwork is designed and produced by Dianne Hallowell under the direction of Ronald B. Williams. The views expressed here are not necessarily those of this Reserve Bank or of the Federal Reserve System. SUBSCRIPTIONS. Single-copy subscriptions for individuals are available without charge. Insti tutional subscribers may order up to 5 copies. BACK ISSUES. Back issues are available free o f charge, but quantities are limited: educators may order up to 50 copies by submitting requests on institutional letterhead; other orders are limited to 1 copy per request. Microform copies are availablefor purchase from University Microfilms, 300 N. Zeeb Road, Ann Arbor, MI 48106. REPRODUCTION. Perm ission must be obtained to reprint portions o f articles or whole articles. Permission to photocopy is unrestricted. Please send subscription orders, back orders, changes o f address, and requests to reprint to Publications, Federal Reserve Bank o f Philadelphia, Department o f Research and Statistics, Ten Independence Mall, Philadelphia, PA 19106-1574, or telephone (215) 574-6428. Please direct editorial communications to the same address, or telephone (215) 574-3805. 2 NOVEMBER/DECEMBER 1992 CAN THE GOVERNMENT ROLL OVER ITS DEBT FOREVER? Andrew B. Abel The enormous federal deficit has led the government to resort to rolling over its debt: issuing new debt to cover interest on existing debt. Can the government go on doing this forever? Can it go on doing this without resorting to the politically im politic act of raising taxes or cutting ex penditures? Can the government, or any entity, run a Ponzi game? Read Andy Abel's article for some answers to these provocative questions. WHERE HAS ALL THE PAPER GONE? BOOK-ENTRY DELIVERY-AG AINSTPAYMENT SYSTEMS James ]. Me Andrews Throughout history, whenever money or valuables of any kind have changed hands, security and various types of risk have presented problems. The formation of depositories provided a solution to at least some of these problems. Deposito ries are still around, and modern securi ties markets use them to effect "paperless" trades: a depository records a security trade by debiting the account of the seller and crediting the account of the buyer. No paper changes hands. This system has reduced the costs and changed the risks of settling trades. James Me Andrews' ar ticle examines how these systems work and discusses what advantages are in volved and what risks remain. FEDERAL RESERVE BANK OF PHILADELPHIA Can the Government Roll Over Its Debt Forever? Andrew B. Abel* I n the past dozen years, the federal govern ment has regularly run large deficits, usually well in excess of $100 billion per year. The amount of federal government debt outstand *Andrew B. Abel is Robert Morris Professor of Banking, Department of Finance, Wharton School, University of Penn sylvania, and a Visiting Scholar, Research Department, Fed eral Reserve Bank of Philadelphia. Andy thanks Thomas Stark for extremely capable research assistance. He also thanks Henning Bohn, Satyajit Chatterjee, Dean Croushore, Jamie McAndrews, Steve Meyer, and Stephen Zeldes for helpful discussions, and Sally Burke for valuable editorial advice. ing has quadrupled during this time, from a value of $908 billion at the end of fiscal year 1980 to a value of $3,665 billion at the end of fiscal year 1991. Even after correcting for infla tion, the amount of government debt has grown by a factor of 2.5 over this period. This apparent explosion in the amount of government debt has led to spirited and protracted public debate about federal tax policy and federal expendi tures. Despite the widely professed desire to reduce the federal deficit and to limit the growth of federal government debt, a consensus about how to achieve these alleged goals has not yet emerged. Faced with continuing deficits, the 3 BUSINESS REVIEW government has resorted to rolling over its debt— that is, issuing new debt to pay the interest on existing debt and to pay off holders of maturing debt. Is rolling over the debt the solution that we have been looking for? Can the government simply roll over its debt forever without having to take the politically costly steps of raising taxes or cutting expenditures in the future? This article discusses the feasibility of rolling over government debt forever. As we will see, this question is related to another important question about the future of the economy: Is the economy as a whole saving an appropriate amount for the future? In addition, both of these questions are related to the question of whether an entity can run a Ponzi game. THE SIMPLE ARITHMETIC OF GOVERNMENT DEBT ACCUMULATION To address the question of whether the gov ernment can roll over its debt forever, we need to quantify the factors that contribute to the growth of government debt over time. We begin by specifying the relationship between government deficits and the growth rate of government debt. Then we examine whether the public would be willing to hold ever-increasing amounts of government debt, thereby permitting the government to roll over its debt forever. Primary and Total Deficits. Although it is tempting to think of both "debt" and "deficits" as representing the "D word," there is an im portant distinction between debt and deficits. Government debt is the liability of the govern ment owed to holders of government bonds at any particular moment; it is measured in dol lars as of a particular date, such as $3,665 billion as of September 30,1991. A government deficit is the excess of government expenditures over government receipts during a particular pe riod. The government deficit equals the in crease in the amount of government debt dur ing a particular interval; it is measured in terms 4 NOVEMBER/DECEMBER1992 of dollars per unit of time, such as $320.9 billion per year during fiscal year 1991 (October 1,1990 - September 30, 1991). In terms of familiar accounting concepts, government debt is a bal ance sheet concept, whereas the government deficit is an income statement concept. Although the definition of the government deficit as the excess of government expendi tures over government receipts during a par ticular period seems fairly unambiguous, actu ally two different deficit concepts are widely used. The difference between these two deficit concepts lies in whether interest payments on government debt are included as part of gov ernment expenditure. One deficit concept, known as the primary deficit, does not include interest payments on the government debt as part of government expenditure. Thus, the primary government deficit is calculated as all noninterest expenditure by the government minus government receipts. The primary gov ernment deficit was "only" $34.9 billion in fiscal 1991 (Table 1). The other deficit concept, known as the total deficit or simply the deficit, includes interest payments by the government as part of govern ment expenditure. Thus the total deficit equals total government expenditure, including inter est payments, minus government receipts. In fiscal 1991, interest payments by the govern ment amounted to $286.0 billion, so that the total government deficit of $320.9 billion ex ceeded the primary government deficit by $286.0 billion. Why are there two different deficit con cepts? The reason economists and policymakers look at both of these deficit concepts is that each concept provides the answer to a different question. Specifically, the primary deficit an swers the question: Are current taxes sufficient to pay for spending on current government programs? More precisely, the primary deficit measures the extent to which spending on cur rent programs exceeds the taxes currently col lected. The total deficit answers a different FEDERAL RESERVE BANK OF PHILADELPHIA Can the Government Roll Over Its Debt Forever? Andrew B. Abel The historical behavior of the debt-GNP ratio over the last century in the United Government Deficit States is shown in Figure 1. Fiscal Year 1991 Notice that the debt-GNP (October 1,1990 - September 30,1991) ratio rose sharply during World War I and World War Government Expenditures II, and then fell gradually Noninterest expenditures3 $795.3 billion after these wars (and also Interest payments by government11 $286.0 billion fell gradually for about a half century after the Civil Total expenditures0 $1,081.3 billion War). In addition to the increases in the debt-GNP Government Receipts0 $760.4 billion ratio during wars, the debtGNP ratio also rose sharply during the Great Depres Primary Deficit = $795.3 billion - $760.4 billion = $34.9 billion sion of the 1930s and during Total Deficit = $1,081.3 billion - $760.4 billion = $320.9 billion the 1980s. What causes the debt-GNP aSource: calculated as total expenditures minus interest payments by ratio to increase from one government. year to the next? Just as a matter of simple arithmetic, bSource: Treasury Bulletin, March 1992. the debt-GNP ratio will rise cSource: Economic Report of the President, 1992, Table B-75. whenever the growth rate of the numerator, i.e., the growth rate of government question: How much will the government have debt, is higher than the growth rate of the to borrow to pay for its expenditures? The total denominator, i.e., the growth rate of GNP. As deficit during a year measures the increase in we have discussed earlier, the increase in gov government debt during that year. ernment debt during a year equals the total The Debt-GNP Ratio. How do we gauge deficit, which in turn equals the primary deficit whether a government's debt is too large? One plus interest payments by the government. way to gauge the size of a government's debt is by the government's ability to repay the debt. Thus, the debt-GNP ratio tends to increase Governments that have access to larger tax when (1) the primary government deficit is bases would be able to support larger amounts large; (2) interest payments by the government of debt than governments with smaller tax are large; and (3) the growth rate of GNP is bases. For the federal government, we can small. The following equation, which is an gauge the size of the tax base by some measure approximation derived in Appendix A, cap of national income, such as Gross National tures the simple arithmetic of government debt Product (GNP) or Gross Domestic Product accumulation: (1) growth rate of debt-GNP ratio = (GDP). In this article, we will use GNP as the primary deficit/debt measure of national income, and thus we will + interest rate use the ratio of g ov ern m en t debt to growth rate of GNP GNP— known as the debt-GNP ratio—to gauge Note that when the growth rate of the debtthe size of government debt. TABLE 1 5 BUSINESS REVIEW NOVEMBER/DECEMBER1992 in the debt-GNP ratio during the Great De FIGURE 1 pression resulted from Debt-GNP Ratio large declines in GNP during the early 1930s and from large primary Percent deficits beginning in 1932. The decline in the debt-GNP ratio during the three-and-a-half dec ades following World War II resulted from a combination of factors: (1) a small—indeed usu ally negative— primary deficit; and (2) an inter est rate that was usually smaller than the growth rate of GNP. However, during the 1980s the debt-G N P ratio d e Sources: Ratio of government debt to GNP. Source of government debt (end parted from its typical of fiscal year): 1869-1939 from Historical Statistics of the United States, series pattern of peacetime be y338; 1940-1969 from Banking and Monetary Statistics, 1941-1970, Table 13.1, C; havior and began to rise. 1970-1979 from Federal Reserve Board Annual Statistical Digest, 1970-1979, Arithmetically, the posi Table 27; 1980-1989 from Federal Reserve Board Annual Statistical Digest, 19801989, Table 26; 1990-1991 from Treasury Bulletin, March 1992, Table FD-1. tive growth rate of the Source of GNP: 1869-1958, Balke, Nathan S. and Robert J. Gordon, Appendix B debt-GNP ratio was ac Historical Data, in The American Business Cycle: Continuity and Change, Robert counted for by a rela J. Gordon (ed.), Chicago and London: The University of Chicago Press, 1986; tively large ratio of the 1959-1991 from Data Resources Incorporated (1960 GNP is 2 percent higher in primary deficit to gov DRI than in Balke and Gordon). ernment debt in the early 1980s and by the fact that GNP ratio is positive, this ratio is growing, and the interest rate exceeded the growth rate of when the growth rate of the debt-GNP ratio is GNP for most of the 1980s. negative, the debt-GNP ratio is falling. Rolling Over Government Debt. Our dis The three components of the growth rate of cussion of the debt-GNP ratio was motivated the debt-GNP ratio on the right-hand side of by the desire to gauge the size of government equation (1) explain, in an arithmetic sense at debt relative to the government's ability to least, the historical behavior of the debt-GNP repay that debt. What problems might be ratio shown in Figure 1. The sharp increase in associated with a high value of the debt-GNP the debt-GNP ratio during both world wars ratio? If the debt-GNP ratio were to become too resulted from sharp increases in the primary large, the public might begin to suspect that one deficit (Figure 2). Of course, the increase in the day the government would default on its debt, primary deficit reflects the large increase in and this suspicion might make the public un military expenditure during wartime. The rise willing to buy additional government debt. 6 FEDERAL RESERVE BANK OF PHILADELPHIA Can the Government Roll Over Its Debt Forever? Andrew B. Abel There are many ways the FIGURE 2 government could default on its debt. The govern Components of m ent could sim p ly re Debt-GNP Growth Rate nounce its liabilities and Percent refuse to pay holders of gov ernment bonds. Alterna tiv ely , the gov ernm en t could heavily tax the princi pal and/or interest on gov ernment bonds, effectively defaulting on at least a frac tion of its liabilities. More subtly, the governm ent could print money and cre ate inflation, which reduces the real purchasing power of its dollar liabilities repre sented by gov ernm en t bonds. Another problem with a very high debt-GNP Sources: Primary deficit calculated as total deficit minus interest pay ratio is that the interest pay ments by the government. Source of total deficit: 1869-1939 from Historical ments on government debt Statistics of the United States, series y337; 1940-1991 from Economic Report of the President, February 1992, Table B-74, on-budget. Source of interest become a very large frac payments: 1869-1969: from Historical Statistics of the United States, series tion of GNP. If the debty461; 1970-1991 from Treasury Bulletin, various issues, Table FFO-3. Interest GNP ratio becom es ex rate calculated as interest payments in current fiscal year divided by govern tremely large, the increase ment debt at end of previous fiscal year (see note to Figure 1 for source of data in government debt needed on government debt). Growth rate of GNP calculated from GNP data described in note to Figure 1. to pay the interest on the outstanding governm ent debt could become larger than all of GNP,1 and the public would not be come unwilling to buy the government debt offered for sale and the rollover policy would able to buy this debt. The willingness or unwillingness of the pub have to terminate. However, if the debt-GNP lic to buy additional government debt when the ratio falls forever when the government is pur debt-GNP ratio gets large determines whether suing a rollover policy, it would be possible to the government can roll over its debt forever. If roll over government debt forever. a policy of rolling over government debt for But how could the debt-GNP ratio fall for ever would cause the debt-GNP ratio to grow ever while the government is rolling over its forever without bound, the public would be debt? To answer this question, we will first precisely define a policy of rolling over the debt in terms of the primary deficit, and then we will use equation (1) to see how the debt-GNP ratio 1 If the debt-GNP ratio exceeds the reciprocal of the changes over time under a policy of debt interest rate on government bonds, interest payments on government debt would exceed GNP. rollover. 7 BUSINESS REVIEW Quite simply, a government is rolling over its debt if its primary deficit is zero, so that its total deficit equals its interest payments on government debt. In this case, the government sells additional government bonds (debt) to pay the interest on government debt and to pay off holders of maturing government debt. If the government can run a zero primary deficit forever, selling bonds to cover the total deficit, then it can roll over its debt forever. Whether the government is able to run a zero primary deficit forever depends on whether the debtGNP ratio eventually becomes too large when the government runs a zero primary deficit year after year. To see if a government can run a zero pri mary deficit forever, we simply set the primary deficit in equation (1) equal to zero and observe that in this case the growth rate of the debt-GNP ratio equals the interest rate minus the growth rate of GNP. If the interest rate is higher than the growth rate, the debt-GNP ratio grows forever without bound, and eventually the gov ernment would lose its ability to roll over its debt. However, if the interest rate is smaller than the growth rate of GNP, the growth rate of the debt-GNP ratio would be negative, and the government could roll over its debt forever. For instance, if the interest rate is 3 percent per year and the growth rate of GNP is 4 percent per year, interest payments amount to 3 percent of government debt. If the government sells new bonds to pay these interest payments, the sup ply of government debt will increase by 3 per cent per year, which is less than the 4 percent annual growth rate of GNP. Thus, the debtGNP ratio would decline. For most of the last century in the United States, the interest rate on government debt has been lower than the growth rate of GNP (Figure 2). In fact, the average interest rate on govern ment debt was 4.12 percent per year, and the average growth rate of GNP was 5.86 percent per year over the period 1869-1991. If this pattern with the average interest rate below the 8 NOVEMBER/DECEMBER1992 average growth rate were to continue to hold forever, it would appear that the U.S. govern ment could roll over its debt forever. WHAT HAPPENS WHEN THE INTEREST RATE IS LESS THAN THE GROWTH RATE OF GNP? We have seen that over the last century the average interest rate on government debt was lower than the average growth rate of GNP. One important implication of having an inter est rate lower than the growth rate of GNP is that the government can roll over its debt forever. In this section, we discuss two other important—and surprising—implications of having an interest rate lower than the economy's growth rate. The Economy Has Too Much Capital. The most important factor determining the stan dard of living of future generations is the longrun rate of economic growth. One of the pri mary ways that an economy can help promote economic growth is to save for the future by increasing the capital stock of productive equip ment and structures. This process of capital accumulation combines a present sacrifice in the form of reduced present consumption with a future benefit in the form of increased future output and consumption. At various times in recent history, policymakers have made the judgment that the future gain is worth the present sacrifice, and national economic policy focused directly on stimulating capital forma tion by providing tax incentives in the form of accelerated depreciation allowances and the investment tax credit. Is it possible for an economy to overdo it? More precisely, is it possible for an economy to accumulate and maintain a level of capital that is unambiguously too high? Surprisingly, the answer is yes. An economy can accumulate so much capital that the current sacrifice associ ated with current investment actually leads to a future sacrifice in the form of reduced future consumption. In this situation, the present FEDERAL RESERVE BANK OF PHILADELPHIA Can the Government Roll Over Its Debt Forever? sacrifice associated with capital formation is clearly not worth undertaking. An interest rate smaller than the growth rate of the economy signals that such a situation exists. To see how it would be possible to have too much capital, suppose a piece of capital re quires $5 worth of resources every year to maintain it in working order, but the capital contributes additional output worth only $4 per year. The economy would be suffering a net loss of $1 per year and would be better off without the capital.2 At the level of the national economy, we can say that an economy has too much capital if in every year the amount of resources devoted to creating new capital and maintaining old capital is greater than the con tribution to total output of the total capital stock. To put this condition in the language of national income accounting, an economy has too much capital if in every year gross invest ment (the amount of resources devoted to new capital formation and replacement of depreci ated capital) exceeds gross capital income (which measures the contribution of capital to total output). We write this condition as: (2) too much capital if: gross investment >gross capital income in every year. Now we can relate the condition for too much capital to the relationship between the interest rate and the growth rate. This relation ship is clearest for an economy growing at a Andrew B. Abel constant rate year after year, so let's suppose that the economy is growing at constant rate g every year. Thus, for example, GNP is growing at the rate g and the total capital stock, K, is also growing at the rate g. With the capital stock growing at the rate g per year, the amount of net capital formation during a year is gK. In addi tion, some resources are devoted to replacing capital that depreciates during the year. Let ting d be the fraction of the capital stock that depreciates during a year, the total amount of depreciation during a year that must be offset by capital formation is dK. Gross investment is the sum of net capital formation and deprecia tion: (3) gross investment = gK + dK = (g + d)K The contribution of capital to total output is measured by gross capital income. Letting R denote the gross rate of return on capital, we have: (4) gross capital income = R K Comparing gross investment in equation (3) with gross capital income in equation (4), we see that the economy has too much capital if (g + d)K > R K in every year, or equivalently: (5) too much capital if: g+d>R in every year To see the role of the interest rate in this condition, we observe that in an economy in which there is no uncertainty, the interest rate r would equal the net rate of return on capital, which is the gross rate of return R minus the 2 In this numerical example, net investment is zero, but rate of depreciation. In symbols we have: the same principle applies when there is positive net invest (6) r = R -d ment. For example, consider a firm that operates a factory (interest rate) (net rate of return on capital) with a work force that grows by 2 percent per year. If the firm maintains a constant ratio of capital to labor, the firm's capital stock would grow by 2 percent per year. However, if the contribution to total output of each unit of capital is only 1 percent of the value of the capital stock, then the firm would be pouring more resources into the factory than it gets out of the factory, and it would be better off closing that factory. Finally, we obtain the condition for too much capital in terms of the interest rate and the growth rate by subtracting the depreciation rate d from both sides of equation (5) and using the fact that r = R - d to obtain: 9 BUSINESS REVIEW (7) too much capital if: g > r in every year. Thus, we can see that in the absence of uncertainty, an economy growing at a constant rate has too much capital if the interest rate is less than the growth rate. An economy in this situation could realize both a present gain and a future gain by permanently reducing the amount of investment. Present consumption would increase as the economy's current re sources shifted from investment to consump tion. Future consumption would increase as fewer resources were, on net, poured into the formation and maintenance of capital. As a result of the reduction in investment, the capi tal stock would fall, and as capital became less abundant, the rate of return on capital would increase. When the rate of investment has fallen enough, the net rate of return on capital and the interest rate will rise above the growth rate of the economy, so that the symptom of too much capital will disappear. Recall that during the period 1869-1991 the average interest rate in the United States was smaller than the average growth rate. Thus, equation (7) would seem to suggest that the United States has too much capital. We will take another look at this provocative implica tion later in this article. Ponzi Games. In the early 20th century, Charles Ponzi promised investors the opportu nity to double their money in 90 days by invest ing in international postal coupons. Over the course of eight months, Ponzi acquired about $15,000,000 from 40,000 investors. Not surpris ingly, Ponzi's promises proved to be too good to be true, and Ponzi was arrested in August 1920.3 Economists now use the term "Ponzi game" to describe a situation in which an entity (a person, business, or government) sells secu rities to investors and never uses any of its own 3 See O'Connell and Zeldes (1992). Digitized for 10 FRASER NOVEMBER/DECEMBER1992 money to pay dividends or interest or to repay the principal. Any subsequent payments (such as dividends, interest, or return of principal) to holders of these securities are financed by sell ing additional securities. Our discussion will focus on rational Ponzi games, which are Ponzi games in which there is no fraud or deceit on the part of the seller of securities and no lack of understanding or foresight on the part of buy ers of these securities. As a simple example of a rational Ponzi game, consider an entity that sells $100 million of long-term bonds, promising to pay an inter est rate of 4 percent per year. At the end of one year, when it is time to pay investors $4 million in interest, the entity sells an additional $4 million of bonds to investors, bringing total bonds outstanding to $104 million. Then at the end of two years, when $4.16 million of interest (4 percent of $104 million) is due, the entity sells an additional $4.16 million of bonds, and so on. The amount of bonds outstanding grows at the rate of interest, which is 4 percent per year in this example. For this Ponzi game to be feasible, the public must be willing to hold the everincreasing amount of bonds issued. If inves tors' wealth is growing at, say, 5 percent per year, there would be sufficient demand by the public for newly issued bonds, and thus the entity would be able to sell additional bonds to pay the interest on its debt without having to use any of its own resources. In the Ponzi game described above, suppose that the entity selling the bonds is the govern ment. Then the Ponzi game amounts to rolling over government debt forever. The Ponzi game will be feasible, that is, the government will be able to roll over its debt forever, provided that the growth rate of aggregate wealth exceeds the interest rate. The growth rate of aggregate wealth is not readily measured, but in the absence of a trend in the ratio of wealth to GNP, the growth rate of aggregate wealth can be proxied by the growth rate of GNP. Thus, the government will be able to roll over its debt FEDERAL RESERVE BANK OF PHILADELPHIA Can the Government Roll Over Its Debt Forever? Andrew B. Abel THE IMPORTANCE OF UNCERTAINTY Recent research into the questions of whether an economy has too much capital and whether a government can roll over its debt forever has shown that simply comparing the average in terest rate and the average growth rate of the economy can produce misleading answers to these questions. Much of this research is ongo ing and many important questions remain un answered, but this research has yielded some important insights. Another Look at Whether an Economy Has Too Much Capital. In a world without uncer tainty, we can compare the interest rate and the growth rate of the economy to determine whether the economy has too much capital. In deriving equation (7) we used the fact [equa tion (6)] that in the absence of uncertainty, the net rate of return on capital, R - d, equals the interest rate, r, on government debt. However, in the presence of uncertainty, the rates of return on different assets, in particular the rates of return on capital and on government bonds, can in general differ. Thus, the comparison of the interest rate and the growth rate in equation (7) is no longer appropriate for assessing whether an economy has too much capital. In the presence of uncertainty, the appropri ate criterion for determ ining whether an economy has too much capital is equation (2): If gross investment exceeds gross capital in come in every year, the economy has too much capital. If gross investment is less than gross capital income in every year, we conclude that 4 The discussion in this article ignores distortions arising the economy is not plagued by too much capi from taxes or from externalities. In a recent paper, Ian King (1992) has argued that with endogenous growth arising tal. A recent study5has examined gross invest from externalities in the stock of knowledge, it is possible for ment and gross capital income in the United Ponzi games to be feasible even though the economy does States for the period 1929-1985 and found that not suffer from overaccumulation of capital. This result forever if the growth rate of GNP exceeds the interest rate.4 To summarize, if the interest rate is lower than the growth rate of GNP, (1) the economy has too much capital; (2) entities can run ration al Ponzi games; and (3) in particular, the gov ernment can roll over its debt forever. As we have seen, over the last century in the United States, the average interest rate has been lower than the average growth rate of GNP. Thus, it might seem that the United States has too much capital, that entities can run rational Ponzi games, and that the government can roll over its debt forever. However, these three results do not strike most observers as plausible de scriptions of the U.S. economy. The implausibility of these results stimulated new research into these questions in the past several years. A point of departure for much of this research is the fact that the results presented above were derived under the assumption of a constant interest rate and a constant growth rate, but, as is evident in Figure 2, the interest rate, and especially the growth rate, have displayed sub stantial variability in the United States. Recent research has focused on uncertainty as the source of variation in the interest rate and the growth rate and has found that the results summarized above need to be substantially altered when uncertainty is incorporated into the analysis. arises because the private and social returns to capital differ in the presence of externalities. Capital overaccumulation occurs if the social rate of return to capital is lower than the growth rate of the economy, and Ponzi games are feasible if the private rate of return to capital is lower than the growth rate of the economy. In King's model, the social rate of return can be higher than the growth rate, which can be higher than the private rate of return. 5 Andrew B. Abel, N. Gregory Mankiw, Lawrence H. Summers, and Richard J. Zeckhauser, "Assessing Dynamic Efficiency: Theory and Evidence," Review o f Economic Stud ies, 56 (January 1989), pp. 1-20. 11 BUSINESS REVIEW in every year, including the Great Depression of the 1930s, gross investment was less than gross capital income. Thus, despite the fact that the average interest rate was less than the average growth rate of the economy, we can conclude that the United States was not af flicted with too much capital.6 This study also examined six other countries, including Japan, which is often cited as a country with high rates of saving and investment. For all of these countries, including high-investing Japan, gross investment was always less than gross capital income, and hence, none of these countries had too much capital. Debt Rollover When the Average Interest Rate Is Lower Than the Average Growth Rate. We have just seen that the introduction of uncertainty invalidates the comparison of the average interest rate and the average growth rate for the purpose of determining whether an economy has too much capital. Now we will see that the introduction of uncertainty also invalidates the comparison of the average in terest rate and the average growth rate for the purpose of determining whether a Ponzi game is feasible. We focus this discussion on a par ticular Ponzi game, namely rolling over gov ernment debt forever. This section presents a numerical example with the following surpris ing feature: despite the fact that the interest rate on government debt is lower than the average growth rate of GNP, the expected value of the debt-GNP ratio grows without bound. Eventu ally, the government would become unable to roll over its debt. Before presenting this example it is useful to calculate an exact expression for the growth rate of the debt-GNP ratio when the govern ment is following a rollover policy. (Equation 6 This conclusion is based on the implicit assumption that the fact that gross investment has always been smaller than gross capital income will continue forever. 12 NOVEMBER/DECEMBER 1992 (1) is an approximate expression.) Remember that a rollover policy means that the primary deficit is zero in every year. If the current amount of government debt is B and if the government has a zero primary deficit, its total deficit is rB, where r is the interest rate. Thus, the government must sell an additional rB bonds, and the amount of bonds next year rises to (l+r)B. If the current level of GNP is Y and if the growth rate of GNP over the next year is g, the level of GNP next year is (l+g)Y. Thus, the value of the debt-GNP ratio next year is [(1+r)/(l+g)][B/Y], which is (l+r)/(l+g) times as large as the current debt-GNP ratio, B/Y. Thus, if r is larger than g, so that (1+r)/(1+g) is larger than one, the debt-GNP ratio grows between this year and next year. Alternatively, if r is smaller than g, so that (l+r)/(l+g) is smaller than one, the debt-GNP ratio falls be tween this year and next year. These results are consistent with the approximation in equation (l ).7 Now we can discuss the numerical example presented in Table 2, which has the following features: the interest rate r is constant and is smaller than the average value of g, the growth rate of GNP. However, g varies in such a way that the average value of (l+r)/(l+g) is greater than 1, so that the expected value of the debtGNP ratio in the next period is always greater than the current value of the debt-GNP ratio. In this example, the uncertainty comes from the fact that GNP growth is unpredictable from one period to the next. To make the example simple, suppose that GNP growth is deter mined by the flip of a fair coin each period. If the coin comes up heads, GNP grows by 60 percent during the next period, and if the coin 7 The approximation involved in equation (1) is that the growth rate of a ratio is approximately equal to the growth rate of the numerator minus the growth rate of the denomi nator. (See Appendix A, Derivation of the Growth Rate of the Debt-GNP Ratio.) FEDERAL RESERVE BANK OF PHILADELPHIA Can the Government Roll Over Its Debt Forever? Andrew B. Abel TABLE 2 A Growing Debt-GNP Ratio with the Interest Rate Below the Average Growth Rate period debt 1 2 3 $100 $104.70 $109.62 $360 (25%) $960 (25%) GNP $1000 $960 (25%) $2560 (25%) expected GNP $1000 $1100 $1210 debt/GNP (25%) expected debt/GNP 0.1000 0.1200 0.1439 comes up tails, GNP falls by 40 percent.8Thus, if GNP is currently $1000, there is a 50 percent chance that next period's GNP will be $1600 and a 50 percent chance that next period's GNP will be $600. Thus, the average, or expected, value of next p e rio d 's GNP is $1100 ( ($1600+$600)/2 ), which represents a 10 percent ex pected growth rate. Now suppose that the interest rate on government debt is always 4.7 percent per period, which is less than the average growth rate of the economy, and let's see how the debt-GNP ratio behaves in this economy. Suppose that in period 1 the amount of government debt is $100. Thus, the debt-GNP ratio is $100/$1000 = 0.10. The first panel of num bers in Table 2 shows the evolution of government debt over time. With a 4.7 percent interest rate, the 8 These large changes in GNP in this example were chosen to make the effects very apparent. To make the example seem more realistic, think of a period as being a decade rather than a year. Notice that be tween 1929 and 1933 in the United States real GNP fell by 30 percent and nominal GNP fell by 46 per cent, so a 40 percent drop in GNP during a decade is not inconceiv able. However, the probability of such a bad decade is almost surely much less than the value of 50 per cent assumed in this example. 13 BUSINESS REVIEW amount of government debt grows at the rate of 4.7 percent per period. Thus, government debt equals $104.70 in period 2 and $109.62 in period 3. The second panel of numbers in Table 2, which shows GNP, requires a little additional explanation. As shown in the first column, GNP is $1000 in period 1. The second column shows that there is a 50 percent chance that GNP in period 2 will be $600 and a 50 percent chance that GNP in period 2 will be $1600, so that the expected value of GNP in period 2 is ($600 + $1600)/2 = $1100. The third column of numbers shows the possible values of GNP in period 3. If GNP in period 2 is $600, there is a 50 percent chance it will fall by 40 percent, to $360, in period 3, and a 50 percent chance it will rise by 60 percent, to $960, in period 3. Alterna tively, if GNP in period 2 is $1600, there is a 50 percent chance it will fall by 40 percent, to $960, in period 3, and a 50 percent chance it will rise by 60 percent, to $2560, in period 3. Taking account of all of these possibilities for the value of GNP in period 3, there is a 25 percent chance it will be $360, a 50 percent chance it will be $960, and a 25 percent chance it will be $2560. The average, or expected, value of GNP in period 3 is $1210. The third panel of numbers in Table 2 shows the possible values of the debt-GNP in each of the three periods. These numbers are calcu lated by dividing the value of debt in the first panel by the value of GNP in the second panel. For example, in period 2, debt will equal $104.70. There is a 50 percent chance GNP will equal $600, in which case the debt/GNP ratio will be $104.70/$600 = 0.1745, as reported in the third panel; there is a 50 percent chance GNP will equal $1600, in which case the debt/GNP ratio will be $104.70/$1600 = 0.0654. The average, or expected, value of the debt-GNP ratio in period 2 is (0.1745 + 0.0654) /2 = 0.1200, which is higher than the debt-GNP ratio in period 1. Despite the fact that the interest rate is smaller than the average growth rate of GNP, the risk of a sharp 14 NOVEMBER/DECEMBER1992 drop in GNP makes the expected value of the debt-GNP ratio in period 2 higher than the value of the debt-GNP ratio in period 1. As shown in the third column, the expected value of the debt-GNP ratio in period 3 is 0.1439. In fact, the expected value of the debt-GNP ratio will grow at a rate of approximately 20 percent per period forever. Eventually, the expected value of the debt-GNP ratio would become so large that the government would be unable to roll over its debt despite the fact that the inter est rate on government debt is lower than the average growth rate of the economy. W HAT CAN WE CON CLUDE ABOUT UNITED STATES FISCAL POLICY? We have shown that in the presence of un certainty it may be impossible for the govern ment to roll over its debt forever, even though the average interest rate is lower than the aver age growth rate of GNP. So, how then do we empirically assess whether the government can roll over its debt forever? This question is at the frontier of economic research and has not yet been fully resolved. Nevertheless, recent re search has yielded some insights and some speculation about future findings. One important insight is that if an economy has too much capital, Ponzi games are possible and the government can roll over its debt for ever. However, a recent study cited earlier9 found that none of the countries studied, in cluding the United States, is afflicted by too much capital. Does the finding that an economy does not have too much capital imply that Ponzi games are not possible and, in particular, that the government cannot roll over its debt forever? In a world without uncertainty, the answer to this question would be “yes," as we illustrated earlier. Unfortunately, the answer is ambigu 9 Abel, Mankiw, Summers, and Zeckhauser (1989). FEDERAL RESERVE BANK OF PHILADELPHIA Can the Government Roll Over Its Debt Forever? ous in the presence of uncertainty: in some economies that do not have too much capital, it is possible for the government to roll over its debt forever, while in other economies that do not have too much capital, it is impossible for the government to roll over its debt forever.10 The current state of economic research sug gests that the crucial issue for determining whether a government can roll over its debt forever is whether there is a rich enough set of existing securities in the economy. If the set of existing securities is not rich enough in the relevant sense, government debt might be such a sufficiently different and attractive security that investors would welcome the opportunity to hold it in their portfolios and would allow the government to roll over its debt forever. How ever, if the set of existing securities is suffi ciently rich, government debt may not be suffi ciently different or attractive for investors to allow the government to roll its debt over forever.11 Unfortunately, the current state of economic research does not allow a convincing empirical test to distinguish between these two cases, so we cannot yet test whether an actual government can roll over its debt forever.12 10Technically, under certainty, capital overaccumulation is a necessary and sufficient condition for Ponzi games and for rolling over government debt forever. Under uncer tainty, capital overaccumulation is a sufficient, but not necessary, condition for Ponzi games and for rolling over government debt forever. 11 Blanchard and Weil (1992) present examples of econo mies that do not have too much capital. In some of these examples, the set of securities is not sufficiently rich, and the government can roll over its debt forever. In other ex amples, the set of securities is sufficiently rich, and the government cannot roll over its debt forever. 12 A related— and also unresolved—question is why the average interest rate on government debt is so much lower than the average rate of return on capital. One potential explanation is that there is a very rich set of securities available but investors are very risk averse and essentially Andrew B. Abel Although we cannot yet empirically test whether an economy can roll over its debt forever, we are not left entirely in the dark about the future course of U.S. fiscal policy. Recently, Henning Bohn (1991a) has developed and implemented a test of whether a govern ment is following a sustainable policy. This is not a test of whether a zero primary deficit accompanied by rolling over the debt is perma nently sustainable. Rather it is a test of whether the historical tax and expenditure policies of the government can be permanently maintained without a major shift in the conduct of policy. Applying this test to data on U.S. fiscal policy, Bohn finds that this policy is sustainable. An important component of this conclusion is the finding that, on average, U.S. fiscal policy pro duces a smaller primary deficit (or a larger primary surplus) when the debt-GNP ratio becomes larger. This tendency of the govern ment to run smaller (or even negative) primary d eficits as the d eb t-G N P ratio gets larger is a means of keeping the debt-GNP ratio from growing too large. While Bohn's result that U.S. fiscal policy is sustainable may appear comforting, this find ing focuses attention on potentially painful choices. If the United States is to follow its historical pattern of reducing primary deficits when the debt-GNP ratio rises, the increase in the debt-GNP ratio over the past dozen years would seem to require a reduction in the pri mary deficit. Such a reduction in the primary deficit would require an increase in tax rev enues and /or a cut in government expenditure, neither of which will be universally popular. pay a large premium for the opportunity to hold safe gov ernment debt. In this case, the government would not be able to roll over its debt forever. Another potential explana tion is that the set of securities is not sufficiently rich and that investors find government debt sufficiently different and attractive that they willingly hold it at a low interest rate. In this case, the government might be able to roll over its debt forever. See Bohn (1991b). 15 APPENDIX A BUSINESS REVIEW NOVEMBER/DECEMBER 1992 Derivation of the Growth Rate of the Debt-GNP Ratio Let B be the amount of government bonds outstanding, and let Y be the measure of national income, such as GNP. Thus the debt-GNP ratio is B/Y. The growth rate of any ratio is approximately equal to the growth rate of the numerator minus the growth rate of the denominator so that A(B/Y) (A i) -------------- AB = B/Y ................ AY - B -------------- Y where the symbol A denotes the change from one period to the next. The change in government bonds, AB, equals the total deficit, which equals the primary deficit plus interest payments: (A2) AB = primary deficit + rB where r is the interest rate on government bonds, so that rB is the amount of interest payments by the government. Now divide both sides of (A2) by the amount of government bonds B to obtain (A3) AB/B = primary deficit/B + r Now let g denote the growth rate of income so that (A4) AY/Y = g Substituting (A3) and (A4) into (A l) yields A(B/Y) ------------ = primary deficit/B + r - g B/Y which is equation (1) in the text of the article. (A5) Digitized for 16 FRASER FEDERAL RESERVE BANK OF PHILADELPHIA Andrew B. Abel APPENDIX B Can the Government Roll Over Its Debt Forever? An Economic Model of the Interest Rate and the Growth Rate This appendix presents a general equilibrium model underlying the example presented in Table 2. Suppose that consumption equals output in every period as in the widely used Lucas (1978) asset pricing model. The standard condition determining the riskless interest rate r in a representative consumer economy is (B l) ( l+ r ) P E t{u'(ct+1)/u'(ct)) = 1 where Et{ } is the expectation conditional on information at time t, c{ is consumption per capita at time t, u'(ct) is the marginal utility of consumption at time t, and P > 0 is the time preference discount factor (so that P ’- l is the rate of time preference). Assume that the utility function is logarithmic so that u'(c() = l/ c(. In this case, equation (B l) becomes (B2) l + r = [ p E tl(ct/ct+1) } ] 1 Now let gt+1 = (ct+1/ct) -1 be the growth rate of consumption and output between time t and time t+1, and assume that gt+] is i.i.d. over time. Under this assumption we have (B3) l + r = [pE {l/(l+gt+1))]-1 The ratio of the debt-GNP ratio in period t+1 to the debt-GNP ratio in period t is (1+r)/ (l+ g t+1) and the expected value of this ratio is (B4) E {(l+r)/(l+g )} = E {l/ (l+ g )} [pE{l/(l+gt+1)}]-1 = 1/p Notice that if p< l,th e n l/ p > 1 and the expected value of the debt-GNP ratio grows over time. The example in Table 2 is based on the following assumptions: P = 0.8333; and P r{l+gt+1 = 0.6} = P r{l+ g t+1 = 1.6} = 0.5. These assumptions imply that 1+r = 1.0473, E {l+ gt+1} = 1.1, and E {(l+ r)/ (l+ gt+1)} = l/p= 1.2. 17 REFERENCES BUSINESS REVIEW NOVEMBER/DECEMBER 1992 Abel, Andrew B., N. Gregory Mankiw, Lawrence H. Summers, and Richard J. Zeckhauser. "Assessing Dynamic Efficiency: Theory and Evidence," Review of Economic Studies, 56 (January 1989), pp. 1-20. Blanchard, Olivier J., and Philippe Weil. "Dynamic Efficiency, the Riskless Rate and Debt Ponzi Games Under Uncertainty," National Bureau of Economic Research Working Paper No. 3992, February 1992. Bohn, Henning. "O n Testing the Sustainability of Government Deficits in a Stochastic Environment," Rodney L. White Center for Financial Research Working Paper No. 1991, August 1991(a). Bohn, Henning. "Fiscal Policy and the Mehra-Prescott Puzzle: On the Welfare Implica tions of High Budget Deficits with Low Interest Rates," Wharton School of the University of Pennsylvania, April 1991(b). King, Ian. "Ponzi Games, Dynamic Efficiency and Endogenous Growth," Department of Economics, University of Victoria, British Columbia, mimeo, 1992. Lucas, Robert E. Jr. "Asset Prices in an Exchange Economy," Econometrica, 46 (November 1978), pp. 1429-45. O'Connell, Stephen A., and Stephen P. Zeldes, "Ponzi Games," in The New Palgrave Dictionary of Money and Finance, 1992 (forthcoming). Digitized for18 FRASER FEDERAL RESERVE BANK OF PHILADELPHIA Where Has All the Paper Gone? Book-Entry Delivery-AgainstPayment Systems James J. McAndrews* I n the late 1960s the New York Stock Exchange reduced the number of days and hours of trading in an attempt to decrease the volume of stock trading. The reason was the "paper crisis": the trading firms could not manage to deliver and receive promptly the huge volume of securities traded each day. The highest daily volume of trade in 1968 was just over 21 million shares. In 1990 the highest daily volume of trade was 292 million shares. Yet this extraor- * James Me Andrews is a Senior Economist in the Phila delphia Fed's Research Department. He thanks Dan Weckerly for the Indiana Jones example. dinary increase in trading activity was accom modated without a crisis of any sort. What has allowed Wall Street to manage the huge in crease in volume? Many forms of automation contribute to the ability to settle the increased volume of trading in financial markets. Probably the most impor tant consideration, however, is that today most securities listed on the New York Stock Ex change (and many others as well) never have to be moved at all. They are immobilized in a depository and therefore do not have to be delivered after a trade. Instead of the timeconsuming and laborious task of delivering, examining, and counting the traded securities, 19 BUSINESS REVIEW a seller simply transfers ownership to the buyer by instructing the depository to debit its secu rity account and to credit the account of the buyer. The "back office" where trades are settled has become, in an important sense, paperless. The immobilization of securities in a deposi tory has reduced the costs of settling trades and also has changed the risks that are always present in completing agreed-upon transac tions. By combining the transfer of the security on the books of the depository with simulta neous transfer of payment for the security, the depositories have made it possible to eliminate the risk that the seller would lose its security after delivery but before payment was made. However, settling trades through a depository requires that the depository and its system for ensuring completion of trades be safe; other wise the users of the depository would be at risk of losing expected settlement payments or securities. Efficient and safe settlement of trades is important in lowering the costs of financing investment and in fostering ease of access to our economy's financial markets. Trading vol ume typically peaks at times of stress in finan cial markets as many people wish to trade securities. During the 1987 market break, for example, over 608 million shares changed hands on one day on the New York Stock Exchange. If the system of settlement were unable to man age such a large volume of trade, especially at such a critical time, investors might lose confi dence in the safety and integrity of our financial markets. Such a belief could increase the costs of funds to our nation's firms and govern ments. In this article, we will examine the security depositories, their methods of com pleting trades, and their role in reducing the costs and risks of transacting securities. BOOK-ENTRY DEPOSITORIES A book-entry depository is a specialized financial institution that accepts securities for NOVEMBER/DECEMBER1992 safekeeping and maintains transferable ac counts of those securities. Book-entry transac tions can be completed more easily and at lower cost than transactions in which the securities are in paper form for two reasons. First, immo bilizing the securities in one location is the least costly method of safekeeping securities, since it saves on the duplication of vault, security, and maintenance costs. Second, book-entry trans fer of securities is quicker and cheaper than the physical transfer of securities. Book-entry trans fer is accomplished by electronically debiting the account of the seller of securities and credit ing the account of the buyer, while physical transfer requires that both the buyer and seller count the securities and verify that the right bundle of securities is delivered. Furthermore, physical transfer of securities requires expen sive security and insurance arrangements to protect against theft, loss, and fire. The growth in book-entry deposits of secu rities has been rapid. As shown in the figure on page 21, over 98 percent of U.S. Treasury secu rities are now in book-entry form at the Federal Reserve System. Indeed, all U.S. Treasury securities are now issued only in book-entry form; that is, there are no paper securities in the first place, and the securities exist only as en tries in the Fed's computer system. Other U.S. government securities, such as those issued by government-sponsored enterprises and fed eral agencies, as well as the securities of many international organizations also are in bookentry form at the Federal Reserve System. Many other securities, including corporate stocks and bonds, municipal bonds, and the mortgage-backed securities of the Government National Mortgage Association (GNMA, or Ginnie Mae) are on deposit in private deposito ries. (See Book-Entry Depositories on page 22.) For example, in 1990,66 percent of the shares of all U.S. companies listed on the New York Stock Exchange were held in book-entry form at the Depository Trust Company, the largest private book-entry depository. Corporate stocks and FEDERAL RESERVE BANK OF PHILADELPHIA Where Has All the Paper Gone? Book-Entry Delivery-Against-Payment Systems Book-Entry Deposits of Outstanding Securities Billions of Dollars Billions of Dollars James J. McAndrews and risk. In the great trad in g cen ter of Amsterdam, hundreds of different types of coins of many countries circulated. Traders had to be able to identify the specific coin as well as to determ in e the amount of the precious metal in the coin. Each merchant would have to weigh the coins in order to assess their value—but who moni tored the accuracy of the scales? Further more, the weight of the coins imposed costs on their movement, and the risks of loss and theft w ere sign ifican t. The solution to this increas ingly clumsy means of payment was found in the creation of the Bank of Amsterdam—a de pository of coins. Adam Smith, in Wealth o f Nations,1 re Note: All dollar figures are in billions. ports that "[i]n order to remedy these inconve Source: U.S. Bureau of the Public Debt; Federal Reserve Bank of New York; NYSE niences, a bank was es Fact Book, various years; AMEX Fact Book, various years; National Association of tablished in 1609 under Securities Dealers; Depository Company Annual Report, various years. the guarantee of the city. This bank received both foreign coin, and the bonds are often issued in paper form, then light and worn coin of the country at its real registered, immobilized, and transferred to a intrinsic value in the good standard money of book-entry system. the country, deducting only so much as was That a depository can economize on the necessary for defraying the expence [sic] of costs and risks of the physical movement of a commonly traded object is an old idea. In the 16th and 17th centuries, traders, who were paid ^ d a m Smith, Wealth o f Nations, Book IV, Chapter III in gold and silver coins, faced problems of cost (The University of Chicago Press, 1976), pp. 504-05. 21 BUSINESS REVIEW NOVEMBER/DECEMBER 1992 Book-Entry Depositories The Federal Reserve, as fiscal agent for the U.S. Treasury, most federal agencies, and certain international organizations, issues, maintains, and transfers ownership of debt securities issued by these entities. Started in 1971, the Fedwire book-entry safekeeping and transfer system now holds more than 98 percent of the marketable U.S. Treasury debt in book-entry form. The par value of the securities on the system exceeds $3 trillion, and about 47,000 transfers are processed on an average day. The system maintains accounts for approximately 8500 institutions that use these accounts to safekeep and clear transfers for themselves as well as for their customers. For securities not on deposit at a Federal Reserve Bank, private cooperative depositories have been created, typically by market participants, to provide the benefits of book-entry deposit of securities. These depositories have grown increasingly sophisticated and provide a host of services too numerous to describe. All are members of the Federal Reserve system and so are examined and supervised by the Fed. All are registered clearing agents and therefore are regulated by the Securities and Exchange Commission. The Depository Trust Corporation (DTC), begun in the late 1960s, is the largest private book-entry depository. It holds corporate debt and equity securities on deposit, as well as municipal debt securities. The market value of securities held by DTC at year-end 1990 was$4.1 trillion. Thisamount included 66 percent of all the shares of U.S. companies listed on the New York Stock Exchange, 41 percent of all the shares issued over the counter, and 43 percent of the shares listed on the American Stock Exchange. Some 87 percent of outstanding municipal bonds and 77 percent of the corporate debt listed on the New York Stock Exchange are held by DTC for its participants. DTC is owned by its participants. The Philadelphia Depository Trust Company (PHILADEP) and the Midwest Securities Trust Company (MSTC), in Chicago, also safekeep corporate debt and equity and municipal debt. At yearend 1990, they held on deposit securities whose value was 3 percent of the value of securities on deposit at DTC. Both were created in the early 1970s. PHILADEP and MSTC are wholly owned subsidiaries of the Philadelphia Stock Exchange and the Midwest Stock Exchange, respectively. The Participants Trust Company (PTC) was formed in 1989 to provide a book-entry depository for Government National Mortgage Association (GNMA) mortgage-backed securities. As of February 1992 it had more than $627 billion in par value of such securities on deposit—about 90 percent of the outstanding issues. It has operated on a same-day funds settlement system from its inception. coinage, and the other necessary expence [sic] of management. For the value which remained, after this small deduction was made, it gave a credit in its books. This credit was called bank money... Bank money...has some other advan tages. It is secure from fire, robbery, and other accidents: the city of Amsterdam is bound for it; it can be paid away by a simple transfer, without the trouble of counting, or the risk of transporting it from one place to another." Smith eloquently states the advantages of the Digitized for22 FRASER book-entry system for coin. Modern security book-entry depositories have accomplished the task of taking a m uch trad ed item — a security—and, by immobilizing it and convert ing it to book-entry form, made transacting it as easy as writing a check. Our discussion reflects that the cost of bookentry delivery of securities is less than the cost of physical delivery. One illustration of the lower cost is the decline in the fail rate since the introduction of book-entry depositories. A fail FEDERAL RESERVE BANK OF PHILADELPHIA Where Has All the Paper Gone? Book-Entry Delivery-Against-Payment Systems is a failure by the seller to deliver the security at the time of settlement. It can occur for any number of reasons, such as an inability to find the security or slow movement of the security from the seller to the buyer. When a fail occurs, both the buyer and seller incur a cost of delay in receiving both funds and securities. In Ginnie Mae security trades, for example, the fail rate was estimated to be 25 percent as recently as 1985. Since 1989 most of these securities have been immobilized by Participants Trust Com pany. Today the fail rate in Ginnie Mae trades is about 6 percent.2 Another illustration is the reduction in time required to complete a deliv ery electronically rather than physically. In a joint U.S. Treasury-Federal Reserve study on automating operations in government securi ties, it was found that "no more than two minutes elapsed time is required to complete an incoming telegraphic transfer as compared with nearly two hours when physical delivery is m ade."3 DELIVERY-AGAINST-PAYMENT In addition to reducing the costs of transfer ring securities, book-entry deposit of securities can reduce the risks of default by one party in a trade because depositories can combine bookentry transfer of securities with transfer of money. With the ability to transfer both money and securities, the depository can match, si multaneously, a delivery of securities with the payment for those securities. This method, called delivery-against-payment, offers a way 2Reported in "Progress and Prospects: Depository Im mobilization of Securities and Use of Book-Entry Systems," Division of Market Regulation, U.S. Securities and Exchange Commission, June 14, 1985, and by the Participants Trust Company. 3"Joint Treasury-Federal Reserve Study of the U.S. Gov ernment Securities Market," Staff Studies-Part 3, December 1973. James J. McAndrews to complete or settle a previously agreed-upon transaction by making payment if, and only if, delivery of the security is made. Ordinary cash transactions, such as the purchase of groceries for cash, are made by delivery-against-pay ment. D elivery-A gainst-Paym ent Elim inates "Principal Risk." An ideal delivery-againstpayment system eliminates an important source of risk in any transaction: if either payment or delivery takes place before the other side of the transaction is completed, the party that ful filled its obligations might lose the entire sum (the principal amount) if the other party de faults and is unable to complete its side of the transaction. An example is the risk to a store owner who accepts a check in exchange for some item, such as clothing. The store gives the clothing to the customer but will not receive payment until the check clears. If the check is not honored by the customer's bank because of insufficient funds, for example, it may be impossible to retrieve the clothing from the customer. A more pertinent example is the risk of theft when paper securities had to be delivered (in advance of payment) before the advent of bookentry depositories. Brokerage firms would send the securities by messenger at the end of the day. It was common practice not to provide a guard unless the messenger was carrying over $1 billion worth of negotiable securities. Theft insurance rates were escalating quickly in 1969-1970, leading to an insurance crisis in 1971, when the largest insurer of securities announced that it would no longer offer the coverage. The securities industry, the Federal Reserve System, and other interested parties worked quickly to implement a book-entry system for U.S. Treasury securities in 1971 to alleviate the crisis. Book-entry depositories can implement de livery-against-payment in two ways. One way is to transfer the money and the securities simultaneously. By doing so, neither side of the 23 BUSINESS REVIEW transaction is exposed to principal risk. This is essentially the way the Federal Reserve oper ates its book-entry system. The other way is to transfer securities provi sionally until payment is made later. Provi sional transfer of a security means that the seller's securities account is debited even if the buyer does not have enough money to pay for the security at that moment. Later, perhaps at the end of the day, the buyer is expected to have sufficient funds to make payment. If payment is made, the securities transfer is final; if not, the securities transfer is reversed, and the seller keeps the security. Alternatively, rather than reversing the transfer, delivery can be provi sional upon the buyer's posting sufficient col lateral to ensure payment to the seller in the event that the buyer cannot pay cash at the end of the day. The private book-entry depositories transfer securities in one of these two ways. "Principal Risk" With Physical Delivery. With physical transfer of securities, the seller has to deliver the security before payment because the buyer accepts the security subject to count and examination. So simultaneous transfer is not possible. If a third party, such as a clearinghouse, would perform the examina tion and count, the physical security transfer to the buyer could be made provisional on pay ment. But third parties are not always avail able, so settlement is often simply sequential. As a result, the seller is at risk that the buyer might default in the time after delivery but before payment. Indiana Jones provides us with a dramatic example of the risks of sequential settlement. In the movie "Raiders of the Lost Ark," Indiana Jones and his South American guide, Satipo, are attempting to escape the many traps in the temple from which Indiana has taken a golden idol. Satipo crosses a chasm in their path, but in doing so, he breaks the rope used to swing across it. Indiana is on the wrong side of the chasm with the golden idol; Satipo is across the chasm with Indiana's famous whip. "Give me 24 NOVEMBER/DECEMBER1992 the whip!" demands Indiana. "Throw me the idol, I throw you the whip," replies Satipo. Indiana hesitates as a stone door descends to block their escape. "No time to argue!" insists Satipo. Indiana has no choice but to comply. He throws the idol, but Satipo defaults. He drops the whip with a sneering " Adios, Senor." As luck would have it, Indiana Jones proved resourceful enough to manage his escape with out Satipo's completing his end of the transac tion, but the default in settling the sequential whip-for-idol trade illustrates the pitfalls of settling a trade without being able to count on the fact that both ends of the transaction will be completed. Indiana suffered principal risk in settlement with Satipo, and Satipo intention ally defaulted. Default, however, is a risk even when no one intends to default; rather, a firm may find itself illiquid or insolvent in the middle of the day after receiving securities but before having paid for them. BOOK-ENTRY DEPOSITORIES AND THEIR DELIVERY-AGAINSTPAYMENT SYSTEMS Several book-entry depositories exist: the Federal Reserve System for Treasury and agency securities and the four privately owned book-entry depositories for stocks, corporate and municipal bonds, and various other secu rities.4 The Fed's delivery-against-payment system is a real-time, gross settlement system. It is a real-time system because the transaction takes place at the time of day when the seller notifies the Fed of the transaction. For example, when a bank sells Treasury securities to another bank, it notifies the Fed on the settlement day to 4See Patrick Parkinson et al., "Clearance and Settlement in U.S. Securities Markets," Staff Study 163, The Board of Governors of the Federal Reserve System, for more informa tion on the settlement systems for securities. FEDERAL RESERVE BANK OF PHILADELPHIA Where Has All the Paper Gone? Book-Entry Delivery-Against-Payment Systems transfer the securities to the buyer against a payment. The Fed debits the buyer's reserve account and transfers the funds to the seller's reserve account; at the same time the Fed debits the seller's security account and credits the buyer's security account. The transfers occur within seconds. It is a gross settlement system because the gross amounts of both cash and securities for each of a bank's transactions are exchanged during the day. For example, it may be that the buyer and the seller change roles in a partially offsetting transaction later in the day. That transaction would be treated sepa rately from the earlier transaction. Unlike the Fed, the private depositories' delivery-against-payment systems employ pay ment netting systems. During the day the participant may buy and sell many securities. The depository keeps track of the transactions of its participants and at the end of the day it nets all transactions—each participant simply pays to or receives from the depository the difference between total sold and total bought. Even though the participant may have made thousands of trades during the day, it will either owe or be due only one amount of money. Since later transactions may partially offset earlier ones, netting can greatly reduce the total value of transfers that have to be made.5 As a result, netting reduces the liquidity costs of settlement. It does so, however, at the expense of increasing certain risks that all transactions may be unable to settle because of the failure of one participant. Private depositories employ one of two types 5See Brian Cody, "Reducing the Costs and Risks of Trading Foreign Exchange," this Business Review, November/December 1990; and R. Alton Gilbert, "Implications of Netting Arrangements for Bank Risk in Foreign Exchange Transactions," Federal Reserve Bank of St. Louis Review, January/February 1992, for discussions of netting arrange ments. Netting also reduces bookkeeping costs in trades with many participants. James J. McAndrews of payment: next-day funds settlement or sameday funds settlement. (See Same-Day Funds Settlement on page 26.) In the former the pay ment at the end of the day is typically made by certified check (payable the next day), while in the latter, payment is made by wire transfer. These two systems ensure delivery-againstpayment in different ways. In the next-day funds settlement system, deliveries of securities are made throughout the day, but they are provisional until the final settlement payment is received at the end of the business day. If payment for a security is not made because a party is illiquid—it neither has the funds available to make payment nor can it borrow to make payment— then the security delivery is reversed. Since the security never left the depository, reversal is accomplished by a transfer from the defaulting party back to the original seller. In the same-day funds settlement system, deliveries of securities are made throughout the day and are provisional upon the buyer's posting collateral of sufficient value to ensure the payment necessary for the securities. Rather than reverse security deliveries, the same-day systems use the collateral to effect payment in the event of a default. If the buyer defaults, the depository will seize the collateral and sell it. Since this will take time, the depository itself must have sufficient liquidity to make the pay ment due to the seller of the securities. POTENTIAL RISKS AND CONTROLS IN DELIVERY-AGAINST-PAYMENT SYSTEMS Although the development of properly de signed delivery-against-payment systems has substantially reduced principal risk, we have seen that other risks arise in these systems. The depositories have established extensive con trol measures intended to protect the deposi tory and its participants from these risks. In the Federal Reserve book-entry system, the Fed extends intraday credit to those institu25 NOVEMBER/DECEMBER 1992 BUSINESS REVIEW Same-Day Funds Settlement Same-day funds settlement requires that the payment for a security be made by wire transfer rather than by certified check. Hence, same-day settlement means that funds are immediately available to the seller; payments made by check are not available until the next day (and are therefore subject to some small risk of overnight bank failure). U.S. securities markets are planning to move to same-day funds settlement for all securities transactions. Currently, only some securities in the U.S. are settled in same-day funds. Same-day settlement requires greater monitoring than does next-day funds settlement to ensure adequate liquidity. If a participant in a next-day funds system experiences an unexpected shortfall in liquid balances at the end of the day, it has the opportunity to obtain liquidity the next day to fund its liability. However, a same-day funds system allows little time to obtain liquidity to fund a settlement shortfall. Therefore it is especially important for a same-day funds system to maintain sufficient liquidity to fund the settlement payments at day's end, should a participant default occur. The greater difficulty of obtaining funds on a same-day basis makes reversing securities deliveries more problematic in the same-day funds settlement systems. When a security delivery is reversed, the seller of the security is placed under increased liquidity pressures. Since the seller anticipates payment at the end of the day, it may invest anticipated funds during the day, prior to settlement. However, if the buyer of the security defaults and the security delivery is reversed back to the seller, it must fund this addition to its portfolio. This is correspondingly more difficult when the cash to do this must be paid on the same day. As a result, systems using same-day funds rely more on full collateralization of security deliveries during the day (expecting to sell the defaulting party's securities later) rather than reversal of security deliveries. In its policy statement on the desirable features of same-day settlement systems, the Federal Reserve System actively discourages reversal of security transfers in the event of a default. Because selling the securities takes time, this requires that the same-day systems have greater liquidity on hand to fund the same-day payment of a defaulting participant. Two private book-entry depositories have same-day funds settlement systems: the Participants Trust Company for GNMA securities and the Depository Trust Company for commercial paper and various other securities. Their procedures to ensure adequate liquidity are similar. Most important, these systems rely on full collateralization of any participant's net debit, debit caps that limit the risk exposure of the system due to any one participant, and committed lines of credit to the depository at least as large as the largest debit cap of any participant. Full Collateralization. Full collateralization of a participant's net debit is achieved by marking to the previous day's closing price the securities the participant is due to receive. These securities themselves provide part of the participant's collateral, but they are valued at their market price minus a "haircut." This undervaluation is intended to cover expected movements in the price of the security in the next few days when the depository would liquidate the security in case of default. The rest of the collateral must consist of a participant's fund, at least part of which must be in cash, and the rest in short-term Treasury securities, a type of security that is easily sold. Net Debit Caps. Net debit caps are imposed on each participant so that no one participant's default would imperil the ability of the system to effect settlement payments for all other participants. The cap is determined based on the liquidity resources of the participant. Committed Line of Credit. The depositories that manage same-day funds settlement systems attempt to ensure final settlement. By paying for committed lines of credit that are at least as large as the largest net debit cap for any participant, the depository is able to complete settlement even in the event that the system's largest net debtor would default. Digitized for 26 FRASER FEDERAL RESERVE BANK OF PHILADELPHIA Where Has All the Paper Gone? Book-Entry Delivery-Against-Payment Systems tions whose Fed accounts have insufficient funds to pay for incoming securities at the time of transfer. As a result, these participants incur daylight overdrafts in their Fed accounts. Should a participant fail during the time it has a large daylight overdraft with the Fed, then the Fed may lose the value of the overdraft. Be cause of this the Fed is exposed to credit risk from its participants. We will discuss the pro cedures the Fed has put in place to control this risk after considering the risks that arise in the private settlement systems. Because they net money payments through out the day and settle their transactions only at the end of the day, the private delivery-againstpayment systems rely on participants that are net debtors to be able to make final settlement payment at the end of the day. The possibility that a net debtor (of money or securities) would be unable to settle at a designated time gives rise to liquidity risk. Because all firms wish to earn a high return, each firm has an incentive to economize on cash holdings. Cash (transactions accounts atbanks) yields low returns but is necessary to make payments. Firms constantly monitor their cash positions to maintain sufficient cash to make their payments, but not excess cash, which would lower their return. Because firms econo mize their cash holdings, the failure to receive an expected payment can easily cause a firm to be "illiquid" and unable to make the settlement payment on schedule. Hence all parties are subject to liquidity risk. Replacement-cost risk, or market risk, is a type of credit risk. For example, in the same-day settlement systems, if a participant defaults, its collateral is seized and later sold to pay for its obligations to the depository. Although the collateral is set to cover losses as large as can be expected in one to two days given the historical record of price volatility, there is a risk that the market value of the collateral could decline precipitously by the time it is sold. In a netting system, the failure of one partici James J. McAndrews pant to make settlement payment imposes in creased liquidity pressures on the depository and on other participants, since the defaulting party was a net debtor to them. For example, in a next-day settlement system, if a seller has a security delivery reversed back to it and does not receive its expected payment, it may be come unable to fulfill its own obligations, since it then must fund a larger portfolio of securities than it had anticipated. The risk arises that one party after another will become illiquid and unable to settle, and the payment system itself will fail. This systemic risk would result in the failure of all the transactions to be settled that day. The participants would have to revert to bilateral settlement, and the benefits of the multilateral system would be lost, at least for a time. Risk Control Measures in Book-Entry De positories. Depositories have instituted sev eral risk-control measures to reduce the chance of the failure of any individual settlement and, more important, to reduce the chance of any systemic failure of the settlement system. Membership standards that restrict participa tion to firms with high levels of capital can reduce the risk of failure. Well-capitalized firms can better withstand unexpected short falls of funds, since they should be better able than thinly capitalized firms to quickly borrow to meet settlement payments and to absorb credit losses without becoming insolvent. Pri vate depositories have explicit standards that participants must meet in order to join the system. For example, Participants Trust Com pany requires that its participants meet specific capital requirements. All book-entry depositories monitor their participants for signs that the participant is subject to especially severe liquidity or sol vency pressures or operational problems. De positories study the financial statements and regulatory filings of participants to keep abreast of changes in participants' financial conditions. All book-entry depositories impose debit caps, 27 BUSINESS REVIEW or limits on the amount of the debit position a firm can build during the day, to limit the exposure the system has from any one partici pant. The debit cap is determined on the basis of the participant's liquidity resources and con tributions to the participant fund. In the Fed's book-entry system, debit caps serve to limit daylight overdrafts. The Fed has proposed pricing daylight over drafts to restrain the incentive that a participant has to overuse daylight credit from the Fed. By charging a fee for each dollar of credit it extends to a participant for a daylight overdraft, the Fed expects that its participants will find ways to reduce their current reliance on this source of credit.6 All settlement systems require each partici pant to maintain a participant fund, or clearing fund. This fund partly collateralizes the participant's obligations to the organization and can serve as a liquidity backstop in the case of default of another participant. Typically, cash and short-term Treasury securities are acceptable for contributions to the participant fund. The level of required contributions to participant funds is not adjusted often. In the same-day funds net settlement sys tems, participants are also required to post collateral (see Same-Day Funds Settlement). Collateral requirements are meant to fully cover the obligations that a participant has to the organization for all but the most extreme oneday changes in the value of the participant's collateral.7 The collateral is adjusted (by mark ing the collateral to its market value) each time a trade is entered into the system. Some of the 6See David B. Humphrey, "Market Responses to Pricing Daylight Overdrafts," Economic Review, Federal Reserve Bank of Richmond, May/June 1989. 7Because of the greater liquidity pressures in the sameday funds systems, the Federal Reserve discourages rever sal of security deliveries in these systems. 28 NOVEMBER/DECEMBER 1992 collateral must be in cash, while the bulk of it may be in the security to be delivered in the system. The rules governing loss sharing among nondefaulting participants in the event of a default by a counterparty are part of the risk control system in net settlement arrangements. These rules vary by depository. An illustration of a loss-sharing rule is that once a participant defaults, the depository can seize the collateral of that participant and later sell it. In the meantime, the depository, using its liquidity, makes the payment that the defaulting partici pant failed to make. Any losses incurred in this operation may be recovered by first liquidating the defaulting party's clearing fund.8 Next the depository can charge the loss to its own re tained earnings; next it can charge losses to other participants' clearing funds. If the depository charges losses to the settle ment counterparties of the defaulting party, this action encourages bilateral monitoring by each participant of its counterparties. If the losses are charged equally to all participants, this action mutualizes risk and reduces the participants' incentives for monitoring settle ment counterparties. The depositories themselves typically main tain committed bank lines o f credit to provide liquidity in the event of a participant's default. Closing out a participant's position takes time, and the depository, to prevent further liquidity pressures on the system, must have access to liquid funds. The two leading private deposi tories, Participants Trust Company and the 8In the next-day funds systems, reversal of security transactions may not always be possible. For example, a counterparty to a defaulting firm may be at its debit limit; a reversal would not be permitted under the existing debit caps. In this case, the depository may then decide to close out the defaulting party's position (possibly incurring a loss), in which case the loss-sharing rules become appli cable. FEDERAL RESERVE BANK OF PHILADELPHIA Where Has All the Paper Gone? Book-Entry Delivery-Against-Payment Systems James /. McAndrews Depository Trust Company, retain committed bank lines of credit in an amount in excess of the largest net debit allowed for any one partici pant. Finally, operational safeguards are an impor tant part of depositories' risk control system. Security of the data transmitted through the system, adequacy of the system's size, alterna tive sources of power and communication net works, and backup of the automated facilities are all important components of ensuring ac cess to the system, even in the case of loss of power or some other major disruption to the facilities. Off-site backup facilities are a mini mum requirement for major delivery-againstpayment systems. group is to harmonize the methods of settle ment internationally as a greater flow of capital across countries occurs and more firms are listed on both domestic and foreign stock mar kets. Included among the group's recommen dations are the following: PUBLIC POLICY TOWARD PRIVATE DELIVERY-AGAINST-PAYMENT SYSTEMS Public policy has supported the develop ment of book-entry depositories, with the Fed and the Treasury actively involved in creating the book-entry system for U.S. Treasury and agency securities. The Securities and Exchange Commission (SEC) has sponsored workshops for the securities industry to share ideas for managing the book-entry systems. While the SEC supports the immobilization of securities, it believes that the individual investor should be able to obtain a certificate if she so desires.9 The Working Committee of the Group of 30 Clearance and Settlement Project has adopted a set of recommendations concerning settle ment of trades.10 One important goal of this Payments associated with the settlement of securities transactions and the servic ing of securities portfolios should be made consistent across all instruments and markets by adopting the " same day" funds convention.11 9See "Progress and Prospects: Depository Immobiliza tion of Securities and Use of Book-Entry Systems," Division of Market Regulation, U.S. Securities and Exchange Com mission, June 14,1985. 10The Group of 30 is an independent, nonpartisan, non profit international organization, composed of senior finan cial industry participants and researchers with interests in Each country should have an effective and fully developed central securities depository, organized and managed to encourage the broadest possible industry participation (directly and indirectly)... Delivery versus payment should be em ployed as the method for settling all secu rities transactions. The Board of Governors of the Federal Re serve System has issued a policy statement regarding private delivery-against-payment systems that settle, directly or indirectly, over Fedwire.12 The Board provides guidance re garding issues of intraday credit risks and payment risk management arising from such systems. It outlines liquidity, credit, and op- economic policy issues. In 1988, the Group of 30 began a project to improve the world's clearance and settlement systems. The Working Committee of the Group of 30 Clear ance and Settlement Project was formed to further develop the recommendations of the Group of 30. n Group of 30 Clearance and Settlement Project, "YearEnd Status Report 1990," Group of 30,1990 M Street, N.W., Suite 450, Washington, D.C. 12This policy statement was issued on June 15,1989, and is reprinted in Parkinson et al. (See footnote 4.) 29 BUSINESS REVIEW erational issues that should be considered in a same-day funds settlement system. CONCLUSION Book-entry deposits of securities, along with the delivery-against-payment system book en try makes possible, have become an important feature of the securities market in the U.S. In these systems, the computerized technology that makes this cost- and time-saving method 30 NOVEMBER/DECEMBER 1992 of safekeeping and transferring securities pos sible must be complemented by carefully crafted control measures that limit the credit and li quidity risks that inevitably remain in any pay ment system. The primary regulators of the securities industry and the industry itself have identified further immobilization of securities and the movement to same-day funds settle ment as important developments to pursue in the future. FEDERAL RESERVE BANK OF PHILADELPHIA INDEX 1992 January /February Paul S. Calem, "The Strange Behavior of the Credit Card Market" Herb Taylor, "The Livingston Surveys: A History of Hopes and Fears" March/April Gerald A. Carlino, "Are Regional Per Capita Earnings Diverging?" Stephen A. Meyer, "Saving and Demographics: Some International Comparisons" May/June Dean Croushore, "W hat Are the Costs of Disinflation?" Loretta J. Mester, "Banking and Commerce: A Dangerous Liaison?" July/August Theodore M. Crone, "A Slow Recovery in the Third District: Evidence From New Time-Series Models" Sherrill Shaffer, "Marking Banks to Market" September/October Robert P. Inman, "Can Philadelphia Escape Its Fiscal Crisis With Another Tax Increase?" Richard Voith, "City and Suburban Growth: Substitutes or Complements?" November/December Andrew B. Abel, "Can the Government Roll Over Its Debt Forever?" James J. Me Andrews, "Where Has All the Paper Gone? Book-Entry Delivery-Against-Payment Systems" FEDERAL RESERVE BANKOF PHILADELPHIA BUSINESS REVIEW Ten Independence Mall, Philadelphia, PA 19106-1574 Address Correction Requested