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Expected stock returns and volatility in a production economy: a theory and some evidence

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  • Padamja Singal
  • Stephen D. Smith

Abstract

The sign of the relationship between expected stock market returns and volatility appears to vary over time, a result that seems at odds with basic notions of risk and return. In this paper we construct an economy where production involves the use of both labor and capital as inputs. We show that when capital investment is "sticky," the sign of the relation between stock market risk and return varies in accordance with the supply of labor but requires no time variation in preferences. In particular, we show that for asset market equilibria where firms face an elastic supply of labor, the traditional positive risk-return relation obtains. Conversely, a negative relation obtains for asset market equilibria where there is positive probability that labor supply will be highly inelastic. A nice feature of our model is that, unlike earlier work, the sign of the stock market risk-return relation can be associated with observable features of the business cycle. Post–World War II macroeconomic and stock return data are used to test the predictions from the model. Using standard measures of stock market volatility, our results provide support for a stock market risk-return relation that is negative at the peaks of business cycles and positive at the troughs.

Suggested Citation

  • Padamja Singal & Stephen D. Smith, 1999. "Expected stock returns and volatility in a production economy: a theory and some evidence," FRB Atlanta Working Paper 99-8, Federal Reserve Bank of Atlanta.
  • Handle: RePEc:fip:fedawp:99-8
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    References listed on IDEAS

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    1. Boldrin, Michael & Horvath, Michael, 1995. "Labor Contracts and Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 103(5), pages 972-1004, October.
    2. Restoy, Fernando & Rockinger, G Michael, 1994. " On Stock Market Returns and Returns on Investment," Journal of Finance, American Finance Association, vol. 49(2), pages 543-556, June.
    3. Abel, Andrew B., 1988. "Stock prices under time-varying dividend risk : An exact solution in an infinite-horizon general equilibrium model," Journal of Monetary Economics, Elsevier, vol. 22(3), pages 375-393.
    4. Whitelaw, Robert F, 1994. " Time Variations and Covariations in the Expectation and Volatility of Stock Market Returns," Journal of Finance, American Finance Association, vol. 49(2), pages 515-541, June.
    5. Romer, Christina, 1986. "Spurious Volatility in Historical Unemployment Data," Journal of Political Economy, University of Chicago Press, vol. 94(1), pages 1-37, February.
    6. Caballero, Ricardo J, 1991. "On the Sign of the Investment-Uncertainty Relationship," American Economic Review, American Economic Association, vol. 81(1), pages 279-288, March.
    7. Backus, David K & Gregory, Allan W, 1993. "Theoretical Relations between Risk Premiums and Conditional Variances," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(2), pages 177-185, April.
    8. French, Kenneth R. & Schwert, G. William & Stambaugh, Robert F., 1987. "Expected stock returns and volatility," Journal of Financial Economics, Elsevier, vol. 19(1), pages 3-29, September.
    9. Schwert, G William, 1989. " Why Does Stock Market Volatility Change over Time?," Journal of Finance, American Finance Association, vol. 44(5), pages 1115-1153, December.
    10. Barsky, Robert B, 1989. "Why Don't the Prices of Stocks and Bonds Move Together?," American Economic Review, American Economic Association, vol. 79(5), pages 1132-1145, December.
    11. Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993. " On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, American Finance Association, vol. 48(5), pages 1779-1801, December.
    12. Pindyck, Robert S, 1993. "A Note on Competitive Investment under Uncertainty," American Economic Review, American Economic Association, vol. 83(1), pages 273-277, March.
    13. Fama, Eugene F. & French, Kenneth R., 1989. "Business conditions and expected returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 25(1), pages 23-49, November.
    14. Naik, Vasanttilak, 1994. "Asset Prices in Dynamic Production Economies with Time-Varying Risk," Review of Financial Studies, Society for Financial Studies, vol. 7(4), pages 781-801.
    15. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    16. Hartman, Richard, 1972. "The effects of price and cost uncertainty on investment," Journal of Economic Theory, Elsevier, vol. 5(2), pages 258-266, October.
    17. Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, vol. 3(1), pages 66-84, March.
    18. Pagan, Adrian, 1984. "Econometric Issues in the Analysis of Regressions with Generated Regressors," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 221-247, February.
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    Cited by:

    1. Robert E. Hall, 2001. "The Stock Market and Capital Accumulation," American Economic Review, American Economic Association, vol. 91(5), pages 1185-1202, December.

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    Keywords

    Stock market ; Risk ; Production (Economic theory) ; Business cycles;

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