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The return to capital and the business cycle

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Author Info
Paul Gomme
B. Ravikumar
Peter Rupert

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Abstract

Real business cycle models have difficulty replicating the volatility of S&P 500 returns. This fact should not be surprising since real business cycle theory suggests that the return to capital should be measured by the return to aggregate market capital, not stock market returns. We construct a quarterly time series of the after-tax return to business capital. Its volatility is considerably smaller than that of S&P 500 returns. Our benchmark model captures almost 40 percent of the volatility in the return to capital (relative to the volatility of output). We consider several departures from the benchmark model; the most promising is one with higher risk aversion, which captures over 60 percent of the relative volatility in the return to capital.

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Paper provided by Federal Reserve Bank of Cleveland in its series Working Paper with number 0603.

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Date of creation: 2006
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Handle: RePEc:fip:fedcwp:0603

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Keywords: Business cycles Capital

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This paper has been announced in the following NEP Reports: References listed on IDEAS
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  1. Edward C. Prescott, 1986. "Theory ahead of business cycle measurement," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 9-22. [Downloadable!]
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  2. Benhabib, Jess & Rogerson, Richard & Wright, Randall, 1991. "Homework in Macroeconomics: Household Production and Aggregate Fluctuations," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1166-87, December. [Downloadable!] (restricted)
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  3. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September. [Downloadable!] (restricted)
  4. Ellen R. McGrattan & Edward C. Prescott, 2003. "Average Debt and Equity Returns: Puzzling?," American Economic Review, American Economic Association, vol. 93(2), pages 392-397, May. [Downloadable!]
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  5. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November. [Downloadable!] (restricted)
  6. David Carey & Harry Tchilinguirian, 2000. "Average Effective Tax Rates on Capital, Labour and Consumption," OECD Economics Department Working Papers 258, OECD Economics Department. [Downloadable!]
  7. Paul Gomme & Finn E. Kydland & Peter Rupert, 2001. "Home Production Meets Time to Build," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1115-1131, October. [Downloadable!] (restricted)
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  8. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November. [Downloadable!] (restricted)
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  9. Enrique G. Mendoza & Assaf Razin & Linda L. Tesar, 1995. "Effective Tax Rates in Macroeconomics: Cross-Country Estimates of Tax Rates on Factor Incomes and Consumption," NBER Working Papers 4864, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  10. Jermann, Urban J., 1998. "Asset pricing in production economies," Journal of Monetary Economics, Elsevier, vol. 41(2), pages 257-275, April. [Downloadable!] (restricted)
  11. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January. [Downloadable!] (restricted)
  12. Paul Gomme & Peter Rupert, 2005. "Theory, measurement, and calibration of macroeconomic models," Working Paper 0505, Federal Reserve Bank of Cleveland. [Downloadable!]
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  13. Rupert, Peter & Rogerson, Richard & Wright, Randall, 1995. "Estimating Substitution Elasticities in Household Production Models," Economic Theory, Springer, vol. 6(1), pages 179-93, June.
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  14. Greenwood, Jeremy & Hercowitz, Zvi, 1991. "The Allocation of Capital and Time over the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1188-214, December. [Downloadable!] (restricted)
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  15. Poterba, James M., 1998. "The rate of return to corporate capital and factor shares: new estimates using revised national income accounts and capital stock data," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 48(1), pages 211-246, June. [Downloadable!] (restricted)
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  16. McGrattan, Ellen R & Rogerson, Richard & Wright, Randall, 1997. "An Equilibrium Model of the Business Cycle with Household Production and Fiscal Policy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(2), pages 267-90, May.
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  17. Michele Boldrin & Lawrence J. Christiano & Jonas D. M. Fisher, 2001. "Habit Persistence, Asset Returns, and the Business Cycle," American Economic Review, American Economic Association, vol. 91(1), pages 149-166, March. [Downloadable!] (restricted)
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  18. Casey B. Mulligan, 2002. "Capital, Interest, and Aggregate Intertemporal Substitution," NBER Working Papers 9373, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Morris A. Davis & Robert F. Martin, 2008. "Housing, home production, and the equity and value premium puzzles," International Finance Discussion Papers 931, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
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