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Rational bubbles in stock prices?

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Author Info

  • Behzad T. Diba
  • Herschel I. Grossman

Abstract

This paper reports empirical tests for the existence of rational bubbles in stock prices. The analysis focuses on a familiar model that defines market fundamentals to be the expected present value of dividends, discounted at a constantrate, and defines a rational bubble to be a self-confirming divergence of stock prices from market fundamentals in response to extraneous variables. The tests are based on the theoretical result that, if rational bubbles exist, time series obtained by differencing real stock prices do not have stationary means. Analysis of the data in both the time domain and the frequency domain suggests that the time series of aggregate real stock prices is nonstationary in levels but stationary in first differences. Applications of the time domain tests to simulated nonstationary time series that would be implied by rational bubbles indicates that the tests have power to detect relevant nonstationarity when it is present. Furthermore, application of the time-domain and frequency-domain tests to the time series of aggregate real dividends also indicates nonstationarity in levels but stationarity in first differences -- suggesting that market fundamentals can account for the stationarity properties of real stock prices. These findings imply that rational bubbles do not exist in stock prices. Accordingly,any evidence that stock price fluctuations do not accord with market fundamentals (asspecified above) is attributable to misspecification of market fundamentals.

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Bibliographic Info

Paper provided by Federal Reserve Bank of Philadelphia in its series Working Papers with number 87-20.

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Date of creation: 1987
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Handle: RePEc:fip:fedpwp:87-20

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Related research

Keywords: Stock - Prices;

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References

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  1. S. Grossman & R. Shiller, . "The Determinants of the Variability of Stock Market Price," Rodney L. White Center for Financial Research Working Papers 18-80, Wharton School Rodney L. White Center for Financial Research.
  2. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
  3. Marsh, Terry A & Merton, Robert C, 1986. "Dividend Variability and Variance Bounds Tests for the Rationality ofStock Market Prices," American Economic Review, American Economic Association, vol. 76(3), pages 483-98, June.
  4. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
  5. Fama, Eugene F. & Schwert, G. William, 1977. "Asset returns and inflation," Journal of Financial Economics, Elsevier, vol. 5(2), pages 115-146, November.
  6. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-81, September.
  7. Burmeister, Edwin & Wall, Kent D., 1982. "Kalman filtering estimation of unobserved rational expectations with an application to the German hyperinflation," Journal of Econometrics, Elsevier, vol. 20(2), pages 255-284, November.
  8. Robert J. Shiller, 1980. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," NBER Working Papers 0456, National Bureau of Economic Research, Inc.
  9. Behzad T. Diba & Herschel I. Grossman, 1985. "The Impossibility of Rational Bubbles," NBER Working Papers 1615, National Bureau of Economic Research, Inc.
  10. Flavin, Marjorie A, 1983. "Excess Volatility in the Financial Markets: A Reassessment of the Empirical Evidence," Journal of Political Economy, University of Chicago Press, vol. 91(6), pages 929-56, December.
  11. Hamilton, James D. & Whiteman, Charles H., 1985. "The observable implications of self-fulfilling expectations," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 353-373, November.
  12. Kenneth D. West, 1986. "A Specification Test for Speculative Bubbles," NBER Working Papers 2067, National Bureau of Economic Research, Inc.
  13. Robert P. Flood & Peter M. Garber & Louis O. Scott, 1982. "Two Notes on Indeterminacy Problems," NBER Working Papers 0841, National Bureau of Economic Research, Inc.
  14. Obstfeld, Maurice & Rogoff, Kenneth, 1983. "Speculative Hyperinflations in Maximizing Models: Can We Rule Them Out?," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 675-87, August.
  15. Weil, Philippe, 1987. "Confidence and the Real Value of Money in an Overlapping Generations Economy," The Quarterly Journal of Economics, MIT Press, vol. 102(1), pages 1-22, February.
  16. Flood, Robert P & Garber, Peter M, 1980. "Market Fundamentals versus Price-Level Bubbles: The First Tests," Journal of Political Economy, University of Chicago Press, vol. 88(4), pages 745-70, August.
  17. Campbell, John, 1987. "Stock Returns and the Term Structure," Scholarly Articles 3207699, Harvard University Department of Economics.
  18. LeRoy, Stephen F & Porter, Richard D, 1981. "The Present-Value Relation: Tests Based on Implied Variance Bounds," Econometrica, Econometric Society, vol. 49(3), pages 555-74, May.
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Citations

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Cited by:
  1. Catherine Araujo Bonjean & Catherine Simonet, 2012. "Are grain markets in Niger driven by speculation?," Working Papers halshs-00626409, HAL.
  2. Esteban Gómez & Sandra Rozo, . "Beyond Bubbles: The role of asset prices in early-warning indicators," Borradores de Economia 457, Banco de la Republica de Colombia.
  3. Peter C.B.Phillips & Jun Yu, 2009. "Dating the Timeline of Financial Bubbles During the Subprime Crisis," Working Papers CoFie-07-2009, Sim Kee Boon Institute for Financial Economics.
  4. Raul Anibal Feliz & John H. Welch, 1992. "Cointegration and tests of a classical model of inflation in Argentina, Bolivia, Brazil, Mexico, And Peru," Research Paper 9210, Federal Reserve Bank of Dallas.
  5. Ozan Hatipoglu & Onur Uyar, 2011. "Do Bubbles Spill Over? Estimating Financial Bubbles in Emerging Markets," Working Papers 2011/06, Bogazici University, Department of Economics.

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