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  • 标题:Credit policy as fiscal policy.
  • 作者:Lucas, Deborah
  • 期刊名称:Brookings Papers on Economic Activity
  • 印刷版ISSN:0007-2303
  • 出版年度:2016
  • 期号:March
  • 语种:English
  • 出版社:Brookings Institution
  • 摘要:The CBO (201 lb) defines a fiscal multiplier as the change in a nation's economic output generated by each $ 1 of the budgetary cost of a change in fiscal policy. It reports a range of fiscal multipliers, reproduced in table 1, for various types of expenditures authorized under the ARRA. The wide range reflects the conflicting evidence in the literature on their size. Auerbach and Gorodnichenko (2012) show that some of the size variation is a function of the business cycle, with much larger multipliers in downturns that are at the high end of the range reported by the CBO.
  • 关键词:Credit;Credit management;Fiscal policy

Credit policy as fiscal policy.


Lucas, Deborah


III.D. Fiscal Multipliers

The CBO (201 lb) defines a fiscal multiplier as the change in a nation's economic output generated by each $ 1 of the budgetary cost of a change in fiscal policy. It reports a range of fiscal multipliers, reproduced in table 1, for various types of expenditures authorized under the ARRA. The wide range reflects the conflicting evidence in the literature on their size. Auerbach and Gorodnichenko (2012) show that some of the size variation is a function of the business cycle, with much larger multipliers in downturns that are at the high end of the range reported by the CBO.

As discussed in section I.B, under the interpretation that stimulus affects aggregate demand largely through the spending of hand-to-mouth consumers or liquidity-constrained households, these multipliers apply more naturally to incremental borrowing than to credit subsidies. The CBO multipliers may in fact be conservative measures when applied to incremental borrowing because the offset from savings may be smaller than for government programs that distribute funds to some people who, unlike borrowers, have no immediate desire to spend them. However, how to map the different credit programs into the listed categories is not obvious. Student loans, small business loans, and other loans probably correspond most closely to "transfer payments to individuals," in that they put money directly into people's hands that is likely to be spent fairly quickly. Mortgages are most closely related to the extension of a first-time homebuyer credit, although the terms of this program are quite different from those for mortgages, and many mortgage borrowers are not first-time borrowers.

To capture the cyclical variation in multipliers at different phases of the business cycle suggested by Auerbach and Gorodnichenko (2012), higher multipliers are applied in the distressed scenarios than for normal times. For the distressed scenario, the multipliers are set to 2.0 for student loans, business loans, and other loans. This choice of multipliers is toward the high end of CBO's range for transfers to individuals, and slightly less than the multiplier suggested by Auerbach and Gorodnichenko (2012) for total spending in a recession. For normal conditions, the multipliers for these programs are set to 0.5, which is slightly above that suggested by Auerbach and Gorodnichenko (2012) for an expansion. For Fannie Mae and Freddie Mac, I assume much smaller multipliers of 0.3 under distressed conditions and 0.2 under normal conditions. For the other mortgage programs, the multipliers are set to 0.4 and 0.3, respectively. These numbers fall in the low to middle range that the CBO reports for the first-time homeowner credit. The choice of small multipliers for mortgage programs reflects the fact that refinancing accounted for about 73 percent of U.S. mortgage originations in 2010 according to Freddie Mac's 2010 Annual Report. (16) Refinancing frees up some cash for borrowing-constrained households because it lowers monthly mortgage payments (both through a lower interest rate and because principal is reamortized), but the increase in free cash flow is much less than the principal amount refinanced. Most purchase mortgages also can be expected to have a limited stimulus effect because the money is spent on existing structures that are not part of output. The effects of larger and smaller multiplier are considered in the sensitivity analysis.

IV. Stimulus Estimates and Sensitivity Analysis

Recall from section I.B that incremental borrowing, [DELTA]B, which is attributable to federal credit assistance net of crowding out, is [DELTA]B = dA + S(dB/dS)-C. The first two terms are incremental borrowing along the extensive and intensive margins, which can be easily quantified based on the assumptions made in section III. Crowding out, C, is set to 0, due to the slack in the financial system in 2010. Applying the multipliers to AB for each program and summing up the results yields the estimate of fiscal stimulus. Dividing the fiscal stimulus by the sum of credit subsidies quantifies the bang for the buck of credit subsidies.

IV.A. Subsidy Totals and Borrowing Increases along the Intensive Margin

Table 2 summarizes the assumed subsidy rates and the estimates of incremental demand along the intensive margin, S(dB/dS). Multiplying the loan disbursements by the subsidy rates gives a subsidy cost for traditional credit programs of $29.7 billion. (27) The GSE subsidies add $40.9 billion to that, bringing the total estimated subsidies for 2010 to $70.6 billion.

The construction of the estimates of incremental borrowing for each program on the intensive margin are shown in table 3, using the demand elasticities, disbursements, and subsidy rates described for each program in section III. In total, $107 billion in additional borrowing is attributed to this channel in 2010, mostly from the housing programs.

Note that in an economy without credit market frictions, and under normal market conditions, federal credit subsidies of this magnitude would be expected to have modest effects on economic aggregates; $70.6 billion is only about 11 percent of the $666 billion in nondefense discretionary spending, and 0.5 percent of GDP. In this case, the subsidies would cause some redistribution of wealth from taxpayers to borrowers. Demand would increase for subsidized loans, and there would be some crowding out of unsubsidized loans. Because eligibility for subsidies is linked to specific investments and increases the demand for them, some or all of the subsidy would be absorbed in higher relative factor prices (for example, subsidized mortgages encourage more housing purchases, putting upward pressure on house prices).

IV.B. Borrowing along the Extensive Margin and Aggregate Stimulus Effects

The computations of borrowing for each program along the extensive margin and the computation of aggregate stimulus effects under the normal and stress scenarios are shown in tables 4 and 5. Incremental borrowing along the extensive margin is found by multiplying the assumed share of incremental loan demand for each program by the actual disbursement amounts. The sum of incremental loan demand along the extensive and intensive margins for each program is multiplied by the corresponding fiscal multiplier to estimate incremental output. Note that the intensive margin effects reported are the same in both tables 4 and 5 because they were directly computed for 2010.

Under the assumption that the effects in 2010 were at the midpoint of the two scenarios that show $587 billion in incremental output with distressed conditions and $101 billion with normal conditions, the conclusion is that federal credit programs generated an estimated $344 billion in incremental output. This additional output was at a cost of $70.6 billion, which translates into a substantial $4.86 of stimulus per $1 of taxpayer cost. By comparison, the CBO estimated that the ARRA increased output by $392 billion, with an average multiplier on spending of less than 1.5.

IV.C. Sensitivity Analysis

Clearly, the estimate of the stimulus effects of credit policies is highly sensitive to the many assumptions that went into the calculations, and the true value could be considerably more or less than the $344 billion that has been presented as the most plausible point estimate. However, the conclusion that federal credit policies have provided a significant amount of fiscal stimulus in recent years would be robust to a fairly wide range of parameter choices. The normal and distressed scenarios in themselves may provide lower and upper bounds for the range of plausible stimulus effects of falling between $101 billion and $587 billion. Although there is no way to assign probabilities, the midpoint was chosen to represent the best estimate because 2010 was an early year in the recovery, but credit markets remained tight. The assumptions about mortgages and student loans are the most critical because of the large size of these programs. To the extent that student loans are the most credible source of stimulus and that the private student loan market was highly distressed, the estimate of $219 billion in stimulus from this program in distressed conditions could be taken as a tighter lower bound. A range of $219 billion to $587 billion still leaves an uncertainty factor of roughly 3 from top to bottom, but this is narrower than the fivefold ranges of multiplier uncertainty shown in table 1 above. Given the uncertainties about multiplier effects, it would be difficult to make a strong case for further narrowing the range.

As noted by Gale (1991), tax-exempt borrowing also provides federal credit subsidies via the tax code. He reports a subsidy rate of 19 percent for this assistance. The CBO's multiplier range for transfers to state and local governments are similar to those for transfers to individuals. Applying this subsidy rate and a mid-range multiplier of 1 to 2010 long-term municipal issuance volume, which totaled a record high $430 billion, translates into an additional stimulus of $81.7 billion. The base case estimates are also conservative, in that the subsidy estimates mostly exclude administrative costs.

V. Discussion and Conclusions

A unique aspect of U.S. credit markets is the large presence of ongoing government-backed direct loan and loan guarantee programs, most notably Fannie Mae and Freddie Mac, the student loan programs, and the FHA, but also more than 100 smaller programs. Collectively, these activities provided credit subsidies of varying sizes on $1.6 trillion of loans disbursed in 2010, and they relaxed credit-rationing constraints on many borrowers. Taking into account the likely effects these programs had on causing borrowing in that year to be higher than what would have been extended privately in their absence, and applying a multiplier to these incremental balances similar to those applied to traditional government spending and tax policies, yields an estimate of fiscal stimulus from these programs in 2010 of roughly $344 billion, similar to the amount that the CBO attributes to the ARRA. This estimate is in some ways conservative because it excludes other forms of credit support such as tax breaks on municipal bonds, which would add an estimated $82 billion to the stimulus, and omits administrative costs from subsidy estimates. Although there is considerable uncertainty about this point estimate, its size suggests that the effects of fiscal policy cannot be fully understood without taking the stimulus effects of federal credit programs into account. And it also suggests that structural changes in the larger federal credit programs have potential macroeconomic and fiscal policy implications.

A few points deserve emphasis. Although the uncertainty surrounding the reported point estimates of the stimulus is considerable, under a wide range of plausible parameterizations the estimated effects are extremely large. Hence, rather than dismissing these effects because the impact is difficult to measure precisely, it makes sense to continue to look for better ways to measure this phenomenon. It is also important to remember that although the focus here has been on federal credit programs as a relatively low-cost source of fiscal stimulus and automatic stabilization during a severe economic downturn, these programs have significant costs during more normal times that also must be considered in assessing their overall welfare effects. These costs include the likelihood that overly lax federal credit policies, particularly mortgage-related subsidies, were one of the exacerbating causes of the 2007 financial crisis. A final caution is that the cost of the stimulus, though low compared with traditional fiscal policy, is significantly more than the budgetary cost of the programs that are calculated under rules that cause the full economic costs of credit extension to be underreported.

This analysis raises several fundamental questions. The first is how these results should change our perceptions about the depth of the downturn and the effectiveness of other types of fiscal and monetary stimuli. If the high-end estimates presented here are correct, then one might conclude that either the economy was in worse shape than most economists thought, or conventional fiscal and monetary stimuli had less effect than some had previously estimated. Addressing this issue in depth is beyond the scope of this analysis. My view is that there remains a great deal of disagreement among prominent economists about how effective either fiscal or monetary policy was, or what would have transpired in the absence of those policies. This professional uncertainty is reflected, for instance, in the wide range of multipliers reported in table 1 that were derived from surveying the literature. My preferred estimate of additional output of $344 billion in 2010, although large in comparison with the ARRA, is small compared with the $14.66 trillion in GDP and deficit of $1.3 trillion. Hence, although the findings here should shift the perception of the total amount of the fiscal stimulus that was provided, it need not significantly shift one's prior beliefs about the severity of the downturn or the effectiveness of other policies. With regard to monetary policy, the analysis raises the intriguing question of whether the recovery of the housing market benefited more from the loosening of borrowing constraints via federal housing credit programs or from the Federal Reserve's actions that lowered interest rates.

A further question is definitional, and concerns whether credit policy, which up until now has acted as what might be called a shadow stimulus, should be classified as fiscal policy, as monetary policy, or as a third category of its own. The subsidies associated with credit policies clearly are an expenditure of economic resources by the government, and hence are fiscal in nature. The treatment of credit subsidies in the federal budget as costs (albeit underestimated costs) concurs with this view. At the same time, the channel through which the subsidies translate into fiscal stimulus--by accommodating increased borrowing, and thereby increased spending--is different than for other fiscal policies. This difference was taken into account in the analysis by applying estimates of fiscal multipliers to incremental borrowing rather than directly to the subsidies. Nevertheless, because subsidy provision is the root cause of the increase in aggregate demand, it seems reasonable to consider these policies as part of fiscal policy, broadly defined. Although the policies have some similarities with actions the Federal Reserve took at about the same time through its creation of emergency lending facilities, the case for treating the programs as part of monetary policy is weak. It has been observed that to the extent that the Federal Reserve was taking uncompensated credit risk through its emergency facilities, its actions were fiscal and not monetary. In fact, the Federal Reserve claimed that it was providing liquidity and not taking credit risk. The CBO (2010b) for the most part concurred; it found that because most of the risky Federal Reserve facilities were backstopped by the Treasury through TARP (which was counted as part of fiscal policy) or were otherwise protected against credit losses, the fiscal costs of these facilities were in fact small. By contrast, federal credit programs involve significant uncompensated risk transfers and little liquidity provision.

There are also interesting areas for further research. An intriguing question is to what extent similar channels for fiscal policy through credit policy can be seen in other countries. In the case of Europe, although governments affect credit by intervening heavily in the banking system, there is much less reliance on U.S.-style government credit programs. This raises the possibility that one reason for the relatively strong U.S. recovery is that this channel for fiscal stimulus is less available than in Europe.

ACKNOWLEDGMENTS I am grateful for suggestions from Alan Auerbach, Janice Eberly, Bill Gale, and Damien Moore. I also would like to thank seminar participants at Chulalongkorn University, the Brookings Institution, the Becker Friedman Institute's 2014 Macro Financial Modeling Conference, and the Federal Reserve Bank of Cleveland for their comments on an early version of this paper.

References

Auerbach, Alan J., and Yuriy Gorodnichenko. 2012. "Measuring the Output Responses to Fiscal Policy." American Economic Journal: Economic Policy 4, no. 2: 1-27.

Bach, Laurent. 2014. "Are Small Businesses Worthy of Financial Aid? Evidence from a French Targeted Credit Program." Review of Finance 18, no. 3: 877-919.

Barnett, Jeffrey L., and Phillip M. Vidal. 2012. "State and Local Government Finances Summary: 2010." Governments Division Brief no. G10-ALFIN. Washington: U.S. Census Bureau, http://www2.census.gov/govs/local/10_summaryreport.pdf

CBO (Congressional Budget Office). 2007. "Federal Financial Guarantees under the Small Business Administration's 7(a) Program." Washington. https://www. cbo.gov/publication/19220

--. 2010a. "The Budget and Economic Outlook: An Update." Washington. https://www.cbo.gov/publication/21670

--. 2010b. "The Budgetary Impact and Subsidy Cost of the Federal Reserve's Activities during the Financial Crisis." Washington, https://www.cbo.gov/ publication/21491

--. 2010c. "CBO's Budgetary Treatment of Fannie Mae and Freddie Mac." Washington, https://www.cbo.gov/publication/41887

--. 2010d. "Costs and Policy Options for Federal Student Loan Programs." Washington, https://www.cbo.gov/publication/21018

--. 2011a. "Accounting for FHA's Single-Family Insurance Program on a Fair-Value Basis." Letter to the Honorable Paul Ryan. Washington. https://www. cbo.gov/publ ication/41445

--. 2011b. "Estimated Impact of the American Recovery and Reinvestment Act on Employment and Economic Output from January 2011 through March 2011." Washington, https://www.cbo.gov/publication/41461

--. 2011c. "Federal Loan Guarantees for the Construction of Nuclear Power Plants." Washington, https://www.cbo.gov/publication/41510

--. 2012. "Fair-Value Accounting for Federal Credit Programs." Washington. https://www.cbo.gov/publication/43027

--. 2014. "Fair-Value Estimates of the Cost of Selected Federal Credit Programs for 2015 to 2024." Washington, https://www.cbo.gov/publication/45383

De Andrade, Flavio, and Deborah Lucas. 2009. "Why Do Guaranteed SBA Loans Cost Borrowers So Much?" Working paper. http://www.kellogg.northwestern. edu/faculty/deandrade/deandrade_lucas_sba2009.pdf

DeFusco, Anthony A., and Andrew Paciorek. 2014. "The Interest Rate Elasticity of Mortgage Demand: Evidence from Bunching at the Conforming Loan Limit." Finance and Economics Discussion Series no. 2014-11. Washington: Board of Governors of the Federal Reserve System.

Elliott, Douglas J. 2011. Uncle Sam in Pinstripes: Evaluating U.S. Federal Credit Programs. Brookings Institution Press.

Financial Management Service. 2011. Treasury Bulletin, March. Washington: U.S. Department of the Treasury, https://www.fiscal.treasury.gov/fsreports/rpt/ treasBulletin/b2011_1.pdf

Gale, William G. 1990. "Federal Lending and the Market for Credit." Journal of Public Economics 42, no. 2: 177-93.

--. 1991. "Economic Effects of Federal Credit Programs." American Economic Review 81, no. 1: 133-52.

Hull, John, Mirela Predescu, and Alan White. 2005. "Bond Prices, Default Probabilities and Risk Premiums." Journal of Credit Risk 1, no. 2: 53-60.

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Lucas, Deborah. 2012. "Valuation of Government Policies and Projects." Annual Review of Financial Economics 4: 39-58.

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Lucas, Deborah, and Damien Moore. 2010. "Guaranteed versus Direct Lending: The Case of Student Loans." In Measuring and Managing Federal Financial Risk, edited by Deborah Lucas. University of Chicago Press.

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--. 2011. "Budget of the U.S. Government: Analytical Perspectives, Fiscal Year 2012." Washington: White House. https://www.gpo.gov/fdsys/pkg/BUDGET 2012-PER/pdf/BUDGET-2012-PER.pdf

--. 2015. "Budget of the U.S. Government: Analytical Perspectives, Fiscal Year 2016." Washington: White House. https://www.gpo.gov/fdsys/pkg/BUDGET2016-PER/pdf/BUDGET-2016-PER.pdf

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Comments and Discussion

COMMENT BY

ALAN J. AUERBACH During the Great Recession, the struggle to come up with effective countercyclical policies while confronting significant financial market disruption and the zero lower bound led to innovations in monetary policy that in some cases tested the boundaries between monetary and fiscal policy. In her paper, Deborah Lucas offers us another prospective element of an expanded view of countercyclical fiscal policy: the use of government credit subsidies to increase private sector borrowing at both the intensive and extensive margins. Lucas argues that credit policy played a significant role in lessening the severity of the Great Recession, and that the output multipliers of U.S. government credit policy are much larger than standard fiscal policy multipliers, especially in periods of recession.

This is an interesting and thought-provoking paper that should stimulate further research. My comments all relate to its striking implication that very large multipliers should make credit policy a major element of countercyclical policy.

WHAT DOES THE MULTIPLIER multiply? A critical step in Lucas's multiplier calculation is her assumption that multipliers--taken from the fiscal policy literature relating output changes to changes in government taxes, transfers, and direct purchases--should be applied to the additional borrowing per unit of subsidy. Thus, because the subsidy amount is just a fraction of the induced increase in borrowing, there is a first-stage multiplier before the standard multiplier is applied. Lucas argues that for the liquidity-constrained, access to additional borrowing should have a similar impact as the receipt of grants, although she does make adjustments for programs and circumstances where the refinancing of existing loans is important.

To decide whether this approach makes sense, it is useful to clarify how the multiplier is being defined. In the recent literature from which Lucas draws, one may find a variety of definitions--including the impact effect on output of a shock to, say, government spending, d[Y.sub.t]/d[G.sub.t]; the cumulative effect on output over some horizon, d([[summation].sup.T.sub.i=0][Y.sub.t+i])/d[G.sub.t]; the peak effect on output over some horizon, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]; and the cumulative effect on output relative to the initial spending shock plus the cumulative government spending induced by the initial shock over the same period, d([[summation].sup.T.sub.i=0][Y.sub.t+i])/d([[summation].sup.T.sub.i=0][G.sub.t+i]). Whether it makes much of a difference which approach one chooses depends, among other things, on the nature of the policy shock--for example, whether it is temporary or long-lived. In the case of the borrowing shocks that Lucas considers, there is effectively a reversal of policy in subsequent years, as increased borrowing induces increased payments of principal and interest. Thus, one would expect a smaller cumulative impact relative to the initial shock than would be the case for typical fiscal policy interventions. However, to the extent that repayments are small relative to initial borrowing over the relevant horizon (which Lucas indicates is the case) and borrowers are liquidity constrained, the eventual reversal of shocks does not seem quantitatively important. The bigger issue, in my view, is the assumption that output responds to the initial increase in borrowing rather than to the present value embedded subsidy or some other measure of policy. On this issue, a key question is who is doing the initial borrowing; and the paper appears to offer more than one answer. The theoretical model that Lucas develops to explain why small subsidies can lead to large increases in borrowing, as depicted in figure 1 of her paper, indicates that the expansion at the extensive margin comes from low-risk borrowers being enticed into the market. But the narrative surrounding the empirical section strongly suggests that much of the expansion reflects lending to individuals who have no other access to credit. This story is more consistent with her multiplier assumptions, but not with her theory. My sense is that the latter perspective is more what Lucas has in mind, which supports her multiplier assumption but also raises other issues, such as how estimated subsidies should respond to expansions of lending.

Overall, I agree that cash up front should also matter, not just the present value subsidy; but I am not entirely convinced that the impact on aggregate activity should be as large as is implied by applying fiscal multipliers to the amount of new borrowing.

Are the multipliers themselves reasonable? Lucas relies heavily on the empirical multiplier literature, particularly that from the Congressional Budget Office (2011), in assigning multipliers to the different credit programs, in good times and bad. Based on my own work cited in her paper, I am of course very sympathetic to using larger multipliers when the economy is in a distressed period than during a normal period, the two cases she distinguishes in her analysis. The biggest impact of this cyclical variation comes through student loans, using multipliers based on treating them as similar to transfer payments to individuals. Although students resemble recipients of transfer payments in an important respect--they have low current incomes and assets--I am unsure whether this similarity itself justifies the multiplier assumption. In particular, student loans cover tuition, and payments to universities are quite different than payments to private producers. Given states' balanced budget requirements, reductions in public university revenues could have large effects on aggregate demand, but not necessarily right away. Also, one would expect access to student loans to have a big impact on labor force participation among younger workers, much bigger than among many groups receiving transfer payments, notably the elderly. This, too, could reduce the relative impact on aggregate activity of an increase in student loans.

I do not mean to be overly critical of the assumptions Lucas makes here, given the lack of empirical evidence regarding the relevant multipliers. But existing empirical estimates of multipliers are subject to large standard errors, especially for particular components of the federal budget, for which there are fewer reliable estimates. Translating these estimates into multipliers for credit programs involves another big layer of uncertainty. So we need to assume large confidence intervals around the paper's multiplier estimates, leaving aside the distinction between normal and distressed times.

SUBSIDIES AND CREDIT EXPANSION An important part of the paper's analysis involves the estimation of subsidies for a range of government credit programs. Lucas argues for a more rigorous approach than is commonly used by the government itself, and which typically yields larger estimated subsidy costs. But applying her methodology to the current exercise still requires assumptions and judgment, because 2010--the year on which she focuses--was a very atypical one in credit markets. She does one set of calculations for the subsidy rates for different programs, which are held fixed across the two scenarios--distressed and normal--that she considers in her simulations. But one might expect the composition of borrowers and the embedded subsidy per dollar of new loans to vary across the two scenarios. For example, if riskier borrowers enter, then the subsidy rate should be higher.

If the subsidy rate does not increase substantially in the distressed scenario, even though the federal government is accounting for a substantially larger expansion of credit, this suggests that an important function of government credit programs in bad times is the provision of liquidity, rather than subsidies. Lucas distinguishes between these two functions at the end of the paper, in contrasting the effects of credit programs with the actions of the Federal Reserve during the Great Recession, but I am not convinced that credit subsidies, rather than simply the provision of credit, were important during this period. Of course, the central role of financial market disruption distinguishes the Great Recession from serious earlier postwar recessions, and Lucas notes that there was little cyclical variation in credit program disbursements in these earlier periods. But if credit expansion follows the normal scenario in a typical recession, then the amount of additional stimulus provided by credit subsidies would also be small, even if the multiplier is large, for there would not be much additional credit.

I am not clear from her paper how Lucas envisions the relationship between subsidies and credit expansion. On the intensive margin, she uses assumed elasticities to translate subsidy rates into credit expansion; but on the extensive margin, she simply estimates the amount of additional credit that is attributable to the programs. It is not clear whether this expansion relates to the subsidy rates or to other elements of the programs, such as the provision of liquidity. Thus, her estimates of the program's bang for the buck--the additional output per $1 in program subsidies, $4.86 per $ 1 in taxpayer cost--cannot necessarily be thought of as a marginal effect that tells us how much additional output we will get for an additional $1 subsidy.

CREDIT PROGRAM DESIGN AND STABILIZATION POLICY The tax system's function in providing an automatic stabilizer is important, and it can be substantially affected by changes in the tax structure (Auerbach and Feenberg 2000; Kniesner and Ziliak 2002). For example, the traditional tax reform approach of lowering tax rates and broadening the tax base reduces the strength of automatic stabilizers. With few exceptions (McKay and Reis 2013), however, little thought has been given to how the stabilization function should guide tax policy design. The same critique applies to government credit programs, now that Lucas has called our attention to their potential role in countercyclical policy. How should such concerns shape the design and reform of government credit programs?

The question of how large subsidies should be, given the countercyclical objective, is a hard one to address based on this paper, for though it specifies the relationship between subsidies and borrowing at the intensive margin (summarized in table 3 of the paper), it does not do so for borrowing at the extensive margin. It may well be that the subsidy rate, within a plausible range, has a relatively small impact on cyclical variation. This may be fortunate, in a way, given that subsidy rates seem to vary across programs in a manner that has no apparent rationale and may be dictated by political rather than economic objectives. For example, the program with the highest subsidy rate--student loans--has the lowest response elasticity on the intensive margin. However, scaling the amount of available credit to economic conditions might help a lot, although perhaps much more in recessions like the most recent one than in the typical recession. Also, as the paper emphasizes, credit expansion can have both potential benefits and economic costs, such as increased moral hazard and a distorted allocation of capital. Here again, a crucial issue is who is doing the additional borrowing when credit expands. Just as with the debate over financial bailouts and financial regulation, we have an opportunity to reform credit programs before the next recession, aiming to not only improve the stabilization function that Lucas has highlighted but also to do so without unnecessarily exacerbating the economic costs of associated market distortions.

REFERENCES FOR THE AUERBACH COMMENT

Auerbach, Alan J., and Daniel R. Feenberg. 2000. "The Significance of Federal Taxes as Automatic Stabilizers." Journal of Economic Perspectives 14, no. 3: 37-56.

Congressional Budget Office. 2011. "Estimated Impact of the American Recovery and Reinvestment Act on Employment and Economic Output from January 2011 through March 2011." Washington, https://www.cbo.gov/publication/41461

Kniesner, Thomas J., and James R Ziliak. 2002. "Tax Reform and Automatic Stabilization." American Economic Review 92, no. 3: 590-612.

McKay, Alisdair, and Ricardo Reis. 2013. "The Role of Automatic Stabilizers in the U.S. Business Cycle." Working Paper no. 19000. Cambridge, Mass.: National Bureau of Economic Research.

COMMENT BY

WILLIAM G. GALE By the end of 2010, outstanding federal debt stood at about $9 trillion. At the same time, as Deborah Lucas notes in her paper, the government's outstanding loans and loan guarantees, combined with the mortgages held or guaranteed by Fannie Mae and Freddie Mac, equaled about $8 trillion, and other government-backed debt obligations include deposit insurance, pension insurance, a variety of implicit guarantees, the Troubled Asset Relief Program, and several Federal Reserve programs. Looking at the sheer size of federal borrowing versus federal lending is not an apples-to-apples comparison, of course, but it suffices to make the basic point that federal lending has been studied very little relative to other areas of federal activity. (1)

Lucas's paper is a welcome and intriguing exception and will, I hope, spur further research on this topic. The paper, which might be alternatively titled "The Accidental Stimulus," provides illustrative calculations of the impact of federal credit subsidies on output during good times and bad. Essentially, it is a "proof of concept" that federal lending could have boosted the economy significantly during and after the Great Recession, and thus provided an automatic stabilizer and a stimulus that previous research and policy discussions have not recognized.

The main line of argument is straightforward. Federal lending has effects through two channels. It provides loans that would not have otherwise been made by the private sector--the extensive margin. And, by offering loans at subsidized rates, it increases the quantity of loans demanded--the intensive margin. Summing the intensive and extensive margin effects generates an estimate of the additional lending due to the programs, to which program-specific multipliers are then applied to generate the net increase in output. The increase in output is divided by the subsidy value of new loan activity (not loan volume) to obtain bang-for-the-buck estimates that are comparable to those that are typically estimated for federal spending and tax changes.

Lucas estimates that federal credit policies, as they existed in 2010, provided stimulus effects totaling between $101 billion and $587 billion (between 0.7 and 4.0 percent of GDP). This is obviously a very wide range of possible effects, but one that is consistent with the fact that the key parameters--the extensive margin effects and the multipliers--are extremely difficult to pin down. The extensive margin effects are elusive due to a lack of evidence. And the multipliers are hard to calculate both because there is uncertainty about the size of the multipliers that apply to spending programs and because it is not clear how appropriate it is to apply those multipliers that have been estimated for spending programs to credit programs. Loans need to be paid back, so the loan multiplier for a given sector of the economy may be smaller than the spending multipliers. Conversely, a government loan might crowd in a project that also has other loans and equity investment associated with it, so the loan multipliers could be larger than the spending multipliers.

Although the paper recognizes that there may be crowding out, the quantitative calculations assume that there is none. In principle, crowding out can occur in several ways. First, in order to lend an additional $1, the government must first borrow it (holding other tax and spending policies constant). This borrowing may somewhat reduce the supply of credit to private investors, unless the supply of credit is perfectly elastic or is not being utilized to provide loans to begin with--conditions that Lucas argues apply to 2010. Second, when the first type of crowding out exists, borrowing by one target group for federal lending could crowd out borrowing by other target groups (Gale 1991). This depends crucially on who the marginal borrower is in the market. Suppose there are unsubsidized borrowers and two target groups that receive government subsidies. If the government increases subsidies to one target group, this group's demand will increase, and the resulting increased flow of funds to this group may come at the expense of loans to the other target group.

The assumption that there is no crowding out may be reasonable in the bad times scenario, where the credit market collapses; but in the good times scenario, it may be a stretch. If crowding out is more extensive in good times than in bad ones, as seems plausible, there are at least two implications. First, the $101 billion output stimulus estimate during good times is overstated (and the true stimulus effect could be zero or negative, depending on the extent of crowding out). Second, the automatic stabilizer effect of federal credit would be even larger than what Lucas estimates. Under Lucas's assumptions, as the economy falls into a tailspin, not only would the extensive margin and multiplier effects rise (as she already posits) but the crowding out parameter would fall, too, adding a third channel for stimulus.

The theoretical model developed in the paper exists to provide motivation, not to generate empirical specifications. The model has several main findings. First, extensive margin effects can be large; small changes in subsidies can generate big responses in outcomes. This is a typical result for models of credit or insurance markets with imperfect information (Rothschild and Stiglitz 1976; Stiglitz and Weiss 1981; Mankiw 1986; Gale 1990a, 1990b). But there is little evidence pertinent to this issue. It would be helpful to have examples or evidence on this subject, given this feature's ubiquity in imperfect-information models of lending and insurance.

Second, in Lucas's model, federal credit crowds in safer borrowers. This suggests that expansions of federal lending would be associated with declines in default rates. My impression is that the data do not support this implication. For example, the vast expansion of federal housing loan guarantees that helped lead to the 2007-08 financial crisis and the Great Recession also led to an increase in defaults, not a decline. The idea that subsidies crowd in safer borrowers is a feature of the models developed by Michael Rothschild and Joseph Stiglitz (1976), but not necessarily of other approaches (Smith and Stutzer 1989; Gale 1990a). In Mankiw (1986), safer or riskier borrowers could be crowded in by subsidies, depending on the parameter values. In Gale (1990b), subsidies crowd in riskier borrower groups. Determining whether the marginal borrower under federal credit programs is safer or riskier than average seems like a very important direction for new research.

More broadly, the paper suggests a need to rethink the economics of the Great Recession and recovery. If Lucas's results are correct--especially her bad times scenario--then either the economy would have been in much worse shape in 2010 than people thought if there had not been a stimulus, or the other fiscal and monetary stimulus efforts provided were much less effective than people think. This creates a bit of a puzzle, however, because one would expect a fiscal stimulus to be most helpful in precisely the type of economy where credit subsidies are helpful--when there are borrowing constraints, incomplete markets, and other types of friction.

Another interesting issue is how credit subsidies would work in a general equilibrium model that (i) generates business cycles and (ii) has credit markets that shut down in bad times. It is plausible to think of some aspects of credit policy as fiscal policy; for example, lending at a subsidized rate seems quite similar to the spending subsidies or tax wedges that are traditionally analyzed in public finance. It is also plausible to categorize some aspects of credit policy as monetary policy; during the Great Recession, the Federal Reserve set up facilities to lend to banks so they could in turn lend to particular target groups, which does not seem that different, in economic terms, from the government lending directly to those groups (Kohn 2010). It is less important, however, whether credit policy is characterized as fiscal or monetary policy in those models, and more important to understand the channels through which credit policies work and the offsets that are created elsewhere in the economy. On the basis of Lucas's intriguing findings, this seems like a fruitful direction for future research.

REFERENCES FOR THE GALE COMMENT

Bosworth, Barry R, Andrew S. Carron, and Elisabeth H. Rhyne. 1987. The Economics of Federal Credit Programs. Brookings Institution Press.

Elliott. Douglas J. 2011. Uncle Sam in Pinstripes: Evaluating U.S. Federal Credit Programs. Brookings Institution Press.

Gale, William G. 1990a. Collateral, Rationing, and Government Intervention in Credit Markets. In Asymmetric Information, Corporate Finance, and Investment, edited by R. Glenn Hubbard. University of Chicago Press.

--. 1990b. "Federal Lending and the Market for Credit." Journal of Public Economics 42, no. 2: 177-93.

--. 1991. "Economic Effects of Federal Credit Programs." American Economic Review 81, no. 1: 133-52.

Kohn, Donald L. 2010. "The Federal Reserve's Policy Actions during the Financial Crisis and Lessons for the Future." Speech given at Carleton University, Ottawa, May 13. https://www.federalreserve.gov/newsevents/speech/kohn20100513a.htm

Mankiw, N. Gregory. 1986. "The Allocation of Credit and Financial Collapse." Quarterly Journal of Economics 101, no. 3: 455-70.

Rothschild, Michael, and Joseph Stiglitz. 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information." Quarterly Journal of Economics 90, no. 4: 629-49.

Smith, Bruce D., and Michael J. Stutzer. 1989. "Credit Rationing and Government Loan Programs: A Welfare Analysis." Real Estate Economics 17, no. 2: 177-93.

Stiglitz, Joseph E., and Andrew Weiss. 1981. "Credit Rationing in Markets with Imperfect Information." American Economic Review 71, no. 3: 393-410.

(1.) For broad discussion of the relevant issues, see Bosworth, Carron, and Rhyne (1987) and Elliott (2011).

GENERAL DISCUSSION Robert Hall spoke first, asserting that the central question of the paper was the extent to which government credit programs affected consumption, and that it is useful to look at this question from the perspective of what happened to consumption over the relevant period. He argued that, during the period from about 2001 to the beginning of 2007, consumers played a Ponzi game. That is, consumption was sufficiently high that it was financed in part by continuous borrowing. Or to put it differently, borrowing was greater than the amount of interest paid on outstanding household debt. Then, starting in late 2008, 2009, and 2010, in particular, an enormous squeeze took place on consumption. Paradoxically, he noted, this was seen as a big increase in household saving in the national income accounts, despite there being strong evidence of a credit squeeze on the household. The squeeze would have been a lot worse if it had not been for the fact that people were able to use government lending programs to some extent to offset the squeeze that was taking place on the household, and that reduction in consumption would have been even larger. The question is: How much larger? This question is basically one of how much leakage there was.

Hall also spoke to the question of fiscal multipliers. It is widely agreed upon in the literature that multipliers are substantially higher at the zero lower bound. (This is because normally there is an interest rate offset operating through the Taylor rule that offsets a spending expansion. With a zero lower bound, this offset does not occur, implying a high multiplier.) Hall disagreed with the view held by some that only distinctively Keynesian models have multipliers. On the contrary, any kind of macroeconomic model involving a government policy that affects spending will result in some sort of fiscal multiplier. As a skeptic about some of the features of Keynesian models, Hall still believes in multipliers.

Justin Wolfers made three brief points. First, he argued that the large amount of uncertainty surrounding the magnitudes of Lucas's estimates was a feature of the model, not a bug. During his remarks, discussant Bill Gale had noted that the net effect ranged from 0.7 to 4 percent of GDP. Wolfers encouraged everyone to be candid about how little is really known about this topic. Second, he noted that it seems quite straightforward that the view of the world outlined by Lucas has very clear empirical implications about whose consumption should go up, and whose did not. A household with student loans, for instance, would clearly benefit more than a household with no student loans. Third and finally, he expressed concern that Lucas's "bang-for-the-buck" framework seemed nonobvious, and wondered if she could do more to motivate the cost calculation.

David Romer, in relation to Wolfers's first point, argued for actually making the range of possible estimates wider. According to the paper, it seems that about one-half of the effects are coming from housing loans, and about one-third are coming from student loans. He wondered about the extent to which the multiplier channels for these programs differed from those of conventional fiscal policy. For instance, suppose that when someone takes out a student loan, he or she goes to college instead of working. Does the fact that the person is not working lead to a reduction in GDP? Does the person going to college make it easier for someone else to get a job? What are the GDP effects when the person graduates? And so on. Likewise, for housing, much of the first round of spending presumably goes toward buying existing homes, meaning that the funds that are being lent end up in the pockets of the person who just sold the home, who is presumably no longer liquidity constrained. The channels, therefore, again sound completely different from normal multipliers. Romer admitted to not having a good handle on what the precise issues were, but wondered if Lucas could do more to expand upon them.

Romer also mentioned the possibility of unusual effects tied to the nitty-gritty of particular programs. He referenced a recent paper by Marco Di Maggio, Amir Kermani, and Christopher Palmer, in which the authors discuss some unexpected effects of the refinancing provisions of the Home Affordable Refinance Program. (1) Rather than cash-out refinance, the authors found evidence of cash-in refinance: People were scraping together money from various sources to get their loan-to-value ratios down to 80 percent. It is therefore possible, Romer noted, that in some cases, the government's helping people out by allowing them to refinance actually reduced consumption (a negative multiplier). All this is to say, he concluded, that some complicated government programs make it very difficult to have much confidence in our ability to estimate multipliers with any precision, and he congratulated Lucas for at least trying something.

Related to Romer's comments, William Brainard encouraged Lucas to spend more time addressing housing specifically. When housing prices crashed, with prices in many places well below replacement cost, there was very little reason for new house construction. Individuals were likely to use new loans either to refinance or buy an existing house, and they were not likely to contract the construction of a new house; nor was there likely to be much speculative building. Multipliers, he concluded, might be very different when housing prices are depressed than when housing prices are high.

Matthew Shapiro suggested that government's expansion of credit, which requires borrowers to repay, might actually be less effective in boosting economic activity than standard government rebates, which are not required to be paid back. Multipliers reported by the Congressional Budget Office typically assume a policy experiment in which the economy crashes, the government sends out rebate checks, and policymakers analyze consumers' marginal propensities to consume. One could imagine that as a stimulus policy, instead of giving rebate checks, the government gave out credit cards. It is not unreasonable to assume a lower multiplier for the credit cards (which would have to be paid back) than for the rebate checks (which would not have to be paid back). What underlies the size of the multiplier is whether or not people are liquidity constrained; that kind of thinking, Shapiro argued, should support the notion of lower multipliers. Furthermore, if a recession is accompanied by people being in a panic from having borrowed too much, having policies that make it easier to borrow might actually not be that effective because people are just not in a borrowing mode. People who have the ability to borrow probably do not need help with credit, and the people who are constrained might actually want to borrow less. According to Shapiro, when auto sales were collapsing in November 2008, it was not that people wanted car loans but could not get them, it was that they really did not want loans during that period. Freeing up credit, therefore, probably would not have caused a huge stimulus.

Ricardo Reis wanted to push further on the analogy between the sorts of credit policies outlined in the paper and monetary policy more generally. In monetary policy, a credit subsidy extended to a bank lowers the cost at which the bank funds itself in order to make a loan, which is presumed to lead to more loans, stimulating economic activity. The credit channel that Lucas isolates in the paper reminded Reis of the bank lending channel in monetary policy. There has been a lot of work in the last few years trying to establish by how much exactly credit subsidies lead to an increase in lending. Whether or not the credit policies in the paper qualify as monetary or fiscal, there does seem to be a lot of overlap between the bank lending channel of monetary policy. Perhaps, he suggested, the fairly reliable estimates produced in this literature could help inform Lucas's analysis.

Where the literature has struggled, Reis noted, is in linking increased lending to real economic activity. That is, how much does the extra $1 lent lead to an increase in output? What the literature has found--and Reis reiterated that the estimates are not very accurate--is that most multipliers are not way above 1. That is, going from lending into output does not look like a transfer multiplier or a purchase multiplier, or at least the numbers do not seem to quite match up. Reis also noted that what is different about credit subsidies relative to the bank channel of monetary policy is that the credit subsidies are much more targeted, whereas monetary policy would lower the cost of lending of all kinds of loans. It is certainly plausible, and potentially even likely, that because credit subsidies are targeted they would indeed have much stronger effects.

Martin Baily said the paper did not fully capture the extent to which the 2008 financial crisis caused a semicollapse of the infrastructure of lending, particularly mortgage lending. Many of the banks were capital constrained, with regulators breathing down their necks telling them to reduce risk and tighten lending standards. Many households did not want to buy a house because housing prices had been declining. The government took over Fannie Mae and Freddie Mac and had them continue issuing mortgage loans and, more important, continue refinancing existing loans. Securitization had collapsed; nobody wanted to be in the business of securitization, and there was a belief that it would take some time to repair private credit markets and allow them to operate normally. Credit policies at that time, he suggested, were playing a different role than credit subsidies in normal times.

Phillip Swagel agreed with Reis that the ability to target credit subsidies was vital during the crisis because, as Baily had noted, it would have been very difficult to repair the credit markets and allow them to operate normally. In housing, for example, private label securitization had ended by late 2008, and banks were not eager to do balance sheet lending; the rescue of Fannie Mae and Freddie Mac in September 2008 involving targeted credit subsidies for housing was essential to supporting continued economic activity even as other parts of credit markets locked up. Institutional arrangements in other areas made it similarly important to be able to target credit subsidies such as credit for auto dealers--without these so-called floor plan loans, the institutional arrangements in the auto retail sector would have had a seriously negative impact on auto sales. This was especially the case in late 2008 and early 2009, when credit markets were particularly strained.

In the specific case of General Motors, there were institutional arrangements that Swagel believed turned out to be very important. He described that when someone buys a car from a dealer, the dealer finances the car, which is why he wants it off the lot as quickly as possible. The type of floor plan loan, according to Swagel, was not initially included in the Federal Reserve's Term Asset-Backed Securities Loan Facility (TALF) program. Karen Pence, an adviser at the Board of Governors of the Federal Reserve System, interjected enthusiastically, "That's not right!" Moderator Janice Eberly, not wanting to hold her back, let Pence continue. As someone who worked on the TALF program, Pence assured everyone that they were made very aware that the floor plan financing was a big problem. Rather, the issue was that the automakers could not achieve AAA ratings for their floor plans, and the Federal Reserve was not allowed to take anything that was not rated AAA. She added that the Federal Reserve actually worked very well with staff at the Treasury Department to try to find a way around that.

Wendy Edelberg, representing the Congressional Budget Office, wanted to clarify the apparent conflation of two different ways that multipliers can vary over the business cycle. The multipliers used in Lucas's paper represented the total aggregate fiscal multiplier, the full range that the Congressional Budget Office used when the economy was at the zero lower bound. This total aggregate fiscal multiplier, she explained, is actually a combination of two things: the impulse to aggregate demand, coupled with the way in which it churns through the economy using a demand multiplier. Standard practice at the Congressional Budget Office is to use the same demand multiplier for any given impulse to aggregate demand. The consensus in the room seemed to be that both components of the total multiplier--the impulse and the churning--could vary over the business cycle. Clearly, the churning can vary over the business cycle, she noted, due to the response of monetary policy. The consensus seemed to also be that the impulse to aggregate demand could vary, for instance, because of how liquidity constrained borrowers are, points raised earlier by Romer and Shapiro. Nonetheless, Edelberg wanted to stress the point that it seems useful to separate the two components of the total aggregate fiscal multiplier.

Karen Dynan noted that, given the importance of housing in Lucas's results, past results are no guarantee of future performance. One important channel through which the housing stimulus came in the recent recovery was people being able to refinance, unlocking cash through lower monthly payments. A lot of that refinancing, she added, could not have been done without the complementary programs that allowed people with underwater homes to refinance. Dynan noted that the next time this sort of housing crisis occurs, there will probably be a different housing finance regime in place, so it is worth thinking about the points made in this paper when talking about how to design that system.

On the uncertainty surrounding the estimates of the multipliers brought up by Gale, Wolfers, and others, Lucas disagreed with Gale's implication that there is no evidence to say whether the numbers are right or wrong. She also suggested that, as a profession, economists should pay attention to things where the mean effect is known to be very large, despite there being a high degree of uncertainty. She stressed that it is very important to talk about things that are hard to quantify when they are likely to be large.

On the question of her bang-for-the-buck calculation, Lucas agreed with remarks made by Gale that the calculation is not marginal; nor is the same multiplier likely to apply to the next episode, as Dynan had suggested. She only meant to suggest that this is a potentially powerful mechanism, and large in this instance. She emphasized that the Great Recession was a particularly severe financial crisis, and the next recession and past recessions might not look the same.

On the discussion of whether or not credit policy was analogous in some ways to monetary policy, a point pushed by Reis, Lucas sought to clarify her point of view. She outlined that monetary policy helped credit markets by providing what the Federal Reserve calls "greater liquidity." The distinction she sought to make between liquidity and subsidy follows the party line of the Federal Reserve, namely, that providing liquidity does not require taking on credit risk, the canonical example being that when a bank comes to the Federal Reserve's discount window, there is plenty of collateral, and so there is very little credit risk involved. The bottom line is, although the Federal Reserve did provide small credit subsidies--a point Lucas conceded members of the Federal Reserve might not agree with her on--the Troubled Asset Relief Program basically covered the riskier of the Federal Reserve's programs. She was unwilling to concede that the credit policies outlined in her paper resembled anything close to traditional monetary policy.

On the question of whether her model was literally applicable to the situation in 2010, Lucas was sympathetic with the view that the story might not be so simple, but she still thought that credit subsidies and the channels identified in the model were the essence of why credit programs create a fiscal stimulus. There were all kinds of complicated reasons for credit markets being disrupted, but at the heart of it, the government for the most part extended credit opportunities categorically to otherwise-constrained borrowers--for example, all students are allowed to take out student loans, regardless of their circumstances--which is a big difference from the way that private markets operate.

Lucas joked that she was saddened by having to defend the concept of fiscal multipliers. She appreciated Hall's sympathy, and his unbridled defense of multipliers. She had considered the issues raised, the range of the multipliers, and the choices about how much the movement of extensive margins reflected those considerations. Lucas defended her choices of relatively small extensive margins for most of the housing programs. Some other papers, she noted, have argued that Fannie Mae and Freddie Mac do not provide much incremental credit during good times. In contrast, during the 2008 financial crisis, Lucas believes they did provide incremental credit that increased aggregate demand. For student loans, she argued for a high incremental effect, since there is a general understanding that most students are heavily constrained.

Specifically on the issues relating to housing--brought up by no less than Romer, Brainard, Baily, and Dynan--Lucas noted that she had put a lot of effort into making reasonable assumptions. She was well aware of the fact that a lot of the credit subsidies do go toward refinancing. The cash-out refinancing, mentioned by Dynan, is one mechanism for mortgages to create a stimulus. Purchase loans, even if they are used to buy existing structures, also create a stimulus because when people buy new houses they spend a lot of money on other things, such as new furniture and appliances. However, Lucas's assumptions of relatively small multipliers for housing programs reflect the fact that much of the money does go to purchasing existing structures or to replace existing debt.

Shapiro had brought up the question of how much it mattered that loans, as opposed to rebates, had to be repaid. Lucas noted that a lot of government loans are fairly long term. Government loans are typically not analogous to a credit card, where one has to pay back the balance relatively quickly. Student loans, for instance, have a horizon of 20 to 30 years; likewise, mortgages can range anywhere from 15 to 30 years. The fact that one has to repay the loans eventually, Lucas believes, is not that important.

Others, notably Romer and Brainard, had argued that credit multipliers would tend to be smaller than traditional multipliers. Lucas disagreed, and argued that credit multipliers might actually be bigger than regular multipliers. If someone receives a tax rebate, for instance, that person may actually save a portion of it. A loan, conversely, is very costly to take out, so it is much more likely that the borrower will spend all that money. The only issue is what the money is spent on and whether what it is spent on is going to have a big multiplier effect or not. Therefore, one should not think of credit as naturally having a smaller multiplier effect than other spending.

(1.) Marco Di Maggio, Amir Kermani, and Christopher Palmer, "Unconventional Monetary Policy and the Allocation of Credit," Columbia Business School Research Paper no. 16-1 (March 2016).

DEBORAH LUCAS

Massachusetts Institute of Technology

(1.) Elliott (2011) provides a history and more complete discussion of federal credit programs.

(2.) Related theoretical analyses include those by Jaffee and Russell (1976), Stiglitz and Weiss (1981), Smith (1983), Smith and Stutzer (1989), Gale (1990), Lacker (1994), and Williamson (1994).

(3.) This assumption economizes on notation and is without a loss of generality.

(4.) A related problem for the government arises when it sets a uniform interest rate that is above the market rate for identifiably safe borrowers, and those borrowers are picked off by private lenders that can profitably underprice the government, as has happened at certain times with federal student loans.

(5.) In a frictionless market, a subsidized borrower could turn around and sell the loan for an amount equal to the credit subsidy, but in practice it is prohibitively costly for borrowers to monetize the subsidy.

(6.) This excludes programs classified as emergency lending associated with the financial crisis.

(7.) See Barnett and Vidal (2012) and Financial Management Service (2011).

(8.) The online appendixes for this and all other papers in this volume may be found at the Brookings Papers web page, www.brookings.edu/bpea, under "Past Editions."

(9.) In the interest of full disclosure, I was a coauthor or reviewer of all the CBO studies referenced except for the ones on fiscal multipliers and ARRA stimulus.

(10.) The volumes that are relevant to the subsidy calculations include refinanced loans even if the previous mortgage also carried a federal guarantee. This is because the models used to predict guarantee costs treat refinancing events as precluding further defaults.

(11.) The valuation exercise employed a Monte Carlo model of mortgage cash flows, together with the prices ot PMI guarantees, GSE guarantees, and of mortgage-backed securities, to infer risk-neutral prices that could then be used to value FHA guarantees.

(12.) All FCRA estimates are from the OMB (2011).

(13.) During that time the government also purchased guaranteed loans from lenders. Those purchases do not create new credit subsidies for borrowers and those loans are excluded from the reported subsidy estimates.

(14.) The methodology was similar in both analyses, but the reported subsidy rates are somewhat different, in part because of the time periods considered. However, the subsidy rates reported by the CBO (2010d) are more applicable to this analysis because they take into account the mix of loan types and interest rate conditions in 2010.

(15.) A complete description of the valuation model is given by Lucas and Moore (2010).

(16.) The estimate is referred to in the report as a market-value estimate, but it is conceptually equivalent to what is described as a fair-value estimate in later CBO publications.

(17.) The data, which are reported by the federal agency running the program, are of mixed quality and in some cases are clearly incorrect. In these cases, the risk charge added to the FCRA subsidy rate is the average of the risk charges across all the smaller programs.

(18.) The present value of fees is assumed to be unaffected by the discount rate, which is only correct for upfront fees. However, the data on periodic fees are not reliable, which is why the effect of differential risk adjustment for fees is not calculated. Neglecting the difference is likely to have a very small effect on the total subsidy estimates.

(19.) The CBO (2011c) provides a detailed example of this approach for nuclear construction loan guarantees.

(20.) The risk charge plus the OMB's FCRA estimate is used instead of the rough fair-value estimates because the FCRA estimates are generally based on more complete information about cash flows and their timing.

(21.) Jeske, Krueger, and Mitman (2013) are an exception; they propose a structural model to assess the effects of the GSEs.

(22.) Indirect support for this assumption comes from the finding that GSE pricing is only slightly more favorable than that on comparable private-label mortgages (Passmore, Sherlund, and Burgess 2005).

(23.) To the extent that this may overstate the extent to which FHA borrowers would be constrained during a crisis, note that FHA lending is shown below to add only $67 billion in stimulus, and that shading that number down would not change the main conclusions.

(24.) For an estimate of the effects of GSE and FHA program rules on refinancing activity during this period, also see Remy, Lucas, and Moore (2011).

(25.) De Andrade and Lucas (2009) find that SBA subsidies may benefit banks more than small businesses. However, Bach (2014) provides evidence that the effects of a French targeted credit program significantly reduced credit constraints.

(26.) In the Annual Report, see table 8 on p. 66 (http://www.freddiemac.com/investors/er/ pdf/10k_022411.pdf).

(27.) By contrast, a total subsidy cost of--$11.7 billion (that is, savings) was reported in the federal budget.
Table 1. Ranges for U.S. Fiscal Multipliers

                                            Estimated multiplier

Type of activity                        Low estimate   High estimate

Purchases of goods and services by          0.5             2.5
  the federal government
Transfer payments to state and local        0.4                2.2
  governments for infrastructure
Transfer payments to state and local
  governments for other purposes            0.4             1.8
Transfer payments to individuals            0.4             2.1
One-time payments to retirees               0.2             1.0
Two-year tax cuts for lower- and            0.3             1.5
  middle-income people
One-year tax cut for higher-income          0.1             0.6
  people
Extension of the first-time homebuyer       0.2             0.8
  credit
Corporate tax provisions primarily           0              0.4
  affecting cash flow

Source: CBO (2011b).

Table 2. Summary of Fair-Value Subsidy
Estimates for Federally Assisted Credit, 2010

                                                           Fair-value
                                               Fair-value  subsidy
                                  Loan volume  subsidy     value
                                  (billions    rate        (billions
Category        Agency            of dollars)  (percent)   of dollars)

Housing         Federal Housing
                  Administration    319         2.5         8.0
Housing         Department of
                  Veterans
                  Affairs            63         3.2         2.0
Housing         Rural Housing
                  Service            17         4.4         0.7
Student loans   Department of
  (guaranteed)    Education          20        16.0         3.1
Student loans   Department of
  (direct)        Education          85        13.0        11.0
Business        Small Business
                  Administration     17         6.5         1.1
Other           Various              64         6.0         3.8
  traditional
  Subtotal (a)                      585                    29.7
Housing         Fannie Mae and
                  Freddie Mac     1,011         4.1        40.9
Total                             1,596                    70.6

Sources: Author's calculations; OMB (2011).

(a.) The sum of disbursements is lower than the total in the
OMB's "Analytical Perspectives" because the Treasury's TARP and
mortgage-backed securities transactions and the Department of
Education's purchases of seasoned student loans are excluded.

Table 3. Calculation of Incremental Borrowing
along the Intensive Margin, 2010

                                       Loan
                                      volume
                                     (billions
Category         Agency             of dollars)    Elasticity

Housing          Federal Housing
                   Administration     319         1.8
Housing          Department
                   of Veterans
                   Affairs and
                   Rural Housing
                   Service             80         1.8
Student loans    Department of
                   Education          105         0.65
Business         Small Business
                   Administration      17         0.8
Other            Various               64         0.8
  traditional
  Subtotal (a)                        585
Housing          Fannie Mae and
                   Freddie Mac      1,011         1.8
Total                               1,596

                                                  Incremental
                                      Subsidy      borrowing
                                       rate       (billions of
Category         Agency              (percent)      dollars)

Housing          Federal Housing
                   Administration    2.5           14.3
Housing          Department
                   of Veterans
                   Affairs and
                   Rural Housing
                   Service           3.5            5.0
Student loans    Department of
                   Education        14.0            9.6
Business         Small Business
                   Administration    6.2            0.8
Other            Various             6.0            3.1
  traditional
  Subtotal (a)                                     32.8
Housing          Fannie Mae and
                   Freddie Mac       4.1           74.6
Total                                             107.4

Sources: Author's calculations; OMB (2011).

(a.) Loan volume is lower than the total disbursements in the
OMB's "Analytical Perspectives" because the Treasury's TARP and
mortgage-backed securities transactions and the Department of
Education's purchases of seasoned student loans are excluded.

Table 4. Incremental Output in a Normal Period

                                        2010 loan
                                          volume
                                       (billions of   Constrained
Category                 Agency          dollars)        share

Housing             Federal Housing
                      Administration     319          0.10
Housing             Department
                      of Veterans
                      Affairs and
                      Rural Housing
                      Service             80          0.10
Student loans       Department of
                      Education          105          0.75
Business            Small Business
                      Administration      17          0.75
Other traditional   Various               64          0.50
  Subtotal (a)                           584
Housing             Fannie Mae and
                      Freddie Mac      1,011          0.00
Total                                  1,595

                                       Incremental     Incremental
                                       loan volume     loan volume
                                          along           along
                                        extensive       intensive
                                        margin in     margin in 2010
                                       normal times    (billions of
                                       (billions of      dollars)
Category                 Agency          dollars)

Housing             Federal Housing
                      Administration    31.9           14.3
Housing             Department
                      of Veterans
                      Affairs and
                      Rural Housing
                      Service            8.0            5.0
Student loans       Department of
                      Education         78.8            9.6
Business            Small Business
                      Administration    12.5            0.8
Other traditional   Various             31.9            3.1
  Subtotal (a)                         163             33
Housing             Fannie Mae and
                      Freddie Mac        0.0           74.6
Total                                  163            107

                                                       Incremental
                                                          output
                                       Multiplier in   (billions of
                                       normal times      dollars)
Category                 Agency

Housing             Federal Housing
                      Administration   0.3              13.9
Housing             Department
                      of Veterans
                      Affairs and
                      Rural Housing
                      Service          0.3               3.9
Student loans       Department of
                      Education        0.5              44.2
Business            Small Business
                      Administration   0.5               6.6
Other traditional   Various            0.5              17.5
  Subtotal (a)                                          86
Housing             Fannie Mae and
                      Freddie Mac      0.2              15
Total                                                  101

Sources: Author's calculations; OMB (2011).

(a.) Loan volume is lower than the total disbursements in the
OMB's "Analytical Perspectives" because the Treasury's TARP and
mortgage-backed securities transactions and the Department of
Education's purchases of seasoned student loans are excluded.

Table 5. Incremental Output in a Distressed Period

                                         2010 loan
                                           volume
                                        (billions of     Constrained
Category                 Agency           dollars)          share

Housing             Federal Housing
                      Administration     319            0.90
Housing             Department
                      of Veterans
                      Affairs and
                      Rural Housing
                      Service             80            0.50
Student loans       Department of
                      Education          105            0.95
Business            Small Business
                      Administration      17            0.85
Other traditional   Various               64            0.75
  Subtotal (a)                           584
Housing             Fannie Mae and
                      Freddie Mac      1,011            0.25
Total                                  1,595

                                        Incremental
                                        loan volume
                                           along         Incremental
                                         extensive       loan volume
                                         margin in          along
                                         distressed       intensive
                                           times        margin in 2010
                                        (billions of     (billions of
Category                 Agency           dollars)         dollars)

Housing             Federal Housing
                      Administration   286.8             14.3
Housing             Department
                      of Veterans
                      Affairs and
                      Rural Housing
                      Service           40.0              5.0
Student loans       Department of
                      Education         99.8              9.6
Business            Small Business
                      Administration    14.1              0.8
Other traditional   Various             47.8              3.1
  Subtotal (a)                         488               33
Housing             Fannie Mae and
                      Freddie Mac      252.8             74.6
Total                                  741              107

                                                         Incremental
                                         Multiplier         output
                                       in distressed     (billions of
Category                 Agency            times           dollars)

Housing             Federal Housing
                      Administration   0.4              120.5
Housing             Department
                      of Veterans
                      Affairs and
                      Rural Housing
                      Service          0.4               18.0
Student loans       Department of
                      Education        2.0              218.6
Business            Small Business
                      Administration   2.0               29.9
Other traditional   Various            2.0              101.7
  Subtotal (a)                                          488.6
Housing             Fannie Mae and
                      Freddie Mac      0.3               98
Total                                                   587

Sources: Author's calculations; OMB (2011).

(a.) Loan volume is lower than the total disbursements in the
OMB's "Analytical Perspectives" because the Treasury's TARP and
mortgage-backed securities transactions and the Department of
Education's purchases of seasoned student loans are excluded.
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