Skip to main content

Part of the book series: Advances in Computational Management Science ((AICM,volume 2))

Abstract

Since the moments of asset returns may contain information about the stochastic discount factor that correspond to a present value model with time-variable discount rates and expected returns, this paper uses Hansen-Jagannathan bounds to estimate valid stochastic discount factors under certain conditions. Thus we differentiate stochastic discount factors estimated on individual asset returns and stochastic discount factors using portfolio returns. The bounds were created using data sets on stock and bond returns for the 1965 – 1995 period. We find that different classes of returns impose different restrictions on the bounds and also on the mean-variance frontier. In order to test if the mean-variance frontier is expanded by the portfolio returns, we create a simple trading system by buying portfolios that lift the Hansen-Jagannathan bound upward. By proceeding we find significant excess returns on this trading strategy implying that these portfolio returns do expand the mean-variance frontier. Thus the underlying present value model leaves residuals since discounted returns are forecastable. A multifactor asset pricing model relates the variation of expected returns to a proxy for future business conditions. Thus we suggest that variations in real investment opportunities cause the variation in expected returns. Since we cannot measure real investment opportunities or related variables without error, multifactor models might better approximate consumption influence on asset pricing. For the parallel time-series and crosssectional analysis we exploit the properties of Ivakhnenko’s ‘Group Method of Data Handling’.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Balduzzi P., Kallal H., Risk premia and variance bounds. Journal of Finance 1998; 54: forthcoming.

    Google Scholar 

  • Bansal R., Viswanathan S., No arbitrage and arbitrage pricing: A new approach. Journal of Finance 1993; 48: 1231–62.

    Article  Google Scholar 

  • Barron A. R. „Predicted squared error: A criterion for automatic model selection. In Self-Organizing Methods in Modeling-GMDH Type Algorithms. Farlow J., ed. New York: Marcel Dekker, 1984.

    Google Scholar 

  • Bekaert G., Hodrick R. J., Characterizing predictable components in excess returns on equity and foreign exchange markets. Journal of Finance 1992; 47: 467–510.

    Article  Google Scholar 

  • Bodie Z., Common stocks as a hedge against inflation. Journal of Finance 1976; 31: 459–70.

    Article  Google Scholar 

  • Breeden D. T., An intertemporal asset pricing model with stochastic consumption and investment opportunities. Journal of Financial Economics 1979; 7: 265–96.

    Article  Google Scholar 

  • Breeden D., Gibbons M., Litzenberger R., Empirical tests of the consumptionoriented CAPM. Journal of Finance 1989, 44: 231–62.

    Google Scholar 

  • Burnside C., Hansen-Jagannathan bounds as classical tests of asset pricing models. Journal of Business and Economic Statistics 1994, 12: 57–79.

    Google Scholar 

  • Campbell J. Y., Shiller R. J., Stock prices, earnings, and expected dividends. Journal of Finance 1988b; 43: 661–75.

    Article  Google Scholar 

  • Campbell J. Y., Shiller R. J., The dividend-price ratio and expectations of future dividends and discount factors. Review of Financial Studies 1988a; 1: 195–228.

    Article  Google Scholar 

  • Campbell J. Y., Stock returns and the term structure. Journal of Financial Economics 1987; 18: 373–99.

    Article  Google Scholar 

  • Campbell J. Y., Lo A. W., MacKinlay A. C. The Econometrics of Financial Markets, Princeton: Princeton University Press, 1997.

    Google Scholar 

  • Chamberlain G., Rothschild M., Arbitrage, factor structure, and mean-variance-analysis of large asset markets. Econometrica 1983: 51: 1281–1304.

    Article  Google Scholar 

  • Clark A., The valuation problem in arbitrage pricing theory. Journal of Mathematical Economics 1993; 22: 463–78.

    Article  Google Scholar 

  • Cochrane J. H., Explaining the variance of price-dividend ratios. Review of Financial Studies 1992; 5: 243–80.

    Article  Google Scholar 

  • Cochrane J. H., Volatility tests and efficient markets. Journal of Monetary Economics 1991; 21: 463–85.

    Article  Google Scholar 

  • Constantinides G. M. „Theory of Valuation: Overview and Recent Developments”, In: Theory of Valuation, Bhattacharya S., Constantinides G. M., ed, Totowa. NJ: Rowman & Littlefield Publishers, 1989.

    Google Scholar 

  • Diaz-Gimenez J., Prescott E. C., Fitzgerald T., Alvarez F., Banking in computable general equilibrium models. Journal of Economic Dynamics and Control 1992; 16: 533–59.

    Article  Google Scholar 

  • Duffie D. Dynamic Asset Pricing Theory, Princeton: Princeton University Press, 1992.

    Google Scholar 

  • Fama E. F., Efficient capital markets: II. Journal of Finance 1991, 46: 1575–1617.

    Article  Google Scholar 

  • Fama E. F., French K. R., Business conditions and expected returns on stocks and bonds. Journal of Financial Economics 1989; 25: 23–49.

    Article  Google Scholar 

  • Fama E. F., French K. R., Dividend yields and expected stock returns. Journal of Financial Economics 1988a; 19: 3–29.

    Article  Google Scholar 

  • Fama E. F., French K. R., Permanent and temporary components of stock prices. Journal of Political Economy 1988b; 96: 246–73.

    Article  Google Scholar 

  • Fama E. F., Schwert G. W., Asset returns and inflation. Journal of Financial Economics 1977; 5: 115–46.

    Article  Google Scholar 

  • Fama E. F., Stock returns, real activity, inflation and money. American Economic Review 1981; 71: 545–65.

    Google Scholar 

  • Fama E. F., The behavior of stock market prices. Journal of Business 1965; 38: 34–105.

    Article  Google Scholar 

  • Farlow J. „The GMDH Algorithm”, In Self-Organizing Methods in Modeling-GMDH Type Algorithms, Farlow J., ed, New York: Marcel Dekker. 1984.

    Google Scholar 

  • Fisher I. The Theory of Interest, New York, 1965.

    Google Scholar 

  • Grossman J., On the efficiency of the stock market when traders have diverse information. Journal of Finance 1976; 31: 573–85.

    Article  Google Scholar 

  • Grossman J., Shiller R. J., The determinants of the variability of stock market prices. American Economic Review-Papers & Proceedings 1981; 71: 222–27.

    Google Scholar 

  • Habib M., Naik N., Models of information aggregation in financial markets. Applied Mathematical Finance 1996; 3: 159–66.

    Article  Google Scholar 

  • Hansen L. P., Jagannathan R., Asessing specification errors in stochastic discount factor models. Journal of Finance 1997; 52: 557–90.

    Article  Google Scholar 

  • Hansen L. P., Jagannathan R., Implications of security market data for models of dynamic economics. Journal of Political Economy 1991; 99: 225–62.

    Article  Google Scholar 

  • Hansen L. P., Large sample properties of generalized method of moments estimators. Econometrica 1982; 50: 1029–54.

    Article  Google Scholar 

  • Hansen L. P., Richard F., The role of conditioning information in deducing testable restrictions implied by dynamic asset pricing models. Econometrica 1987: 55: 587–613.

    Article  Google Scholar 

  • Hansen L. P., Singleton K. J., Generalized instrumental variables estimation of nonlinear expectations models. Econometrica 1982; 50: 1269–86.

    Article  Google Scholar 

  • Harrison J. M., Kreps D.M., Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory 1979; 20: 381–408.

    Article  Google Scholar 

  • Hellwig M., On the aggregation of information in competitive markets. Journal of Economic Theory 1980; 26: 279–312.

    Article  Google Scholar 

  • Ivakhnenko A. G., Ivakhnenko G. A., The review of problems solvable by algorithms of the Group Method of Data Handling (GMDH). Pattern Recognition and Image Analysis 1995; 5: 527–35.

    Google Scholar 

  • Ivakhnenko A. G., The Group Method of Data Handling-A rival of the method of stochastic approximation. Avtomatika 1968; 3: 57–73.

    Google Scholar 

  • Keim D. B., Stambaugh R. F., Predicting returns in the stock and bond markets. Journal of Financial Economics 1986; 17: 357–90.

    Article  Google Scholar 

  • Kirby C., Measuring the predictable variation in stock and bond returns. Review of Financial Studies 1997; 10: 579–630.

    Article  Google Scholar 

  • Kleidon A. W., Variance bounds tests and stock price valuation models. Journal of Political Economy 1986; 94: 953–1001.

    Article  Google Scholar 

  • Knez P. J., Chen Z., Portfolio performance measurement: Theory and applications. Review of Financial Studies 1996; 9: 511–55.

    Article  Google Scholar 

  • Kocherga Y. L., J-optimal reduction of a model structure in a Gauss-Markov schema. Soviet Journal of Automation and Information Sciences 1989; 21: 31–35.

    Google Scholar 

  • LeRoy F. „Stock price volatility”. In: Handbook of Statistics 14, Statistical Methods in Finance, Maddala G., Rao C. R., ed, Amsterdam: North Holland. 1996.

    Google Scholar 

  • LeRoy F., Parke W. R., Stock price volatility: Tests based on the geometric random qalk. American Economic Review 1992; 82: 981–92.

    Google Scholar 

  • Lo A. W., MacKinlay A. C., Stock market prices do not follow random walks: Evidence from a simple specification test. Review of Financial Studies 1988; 1: 41–66.

    Article  Google Scholar 

  • Lucas R. E. Jr., Asset prices in an exchange economy. Econometrica 1978; 46: 1429–45.

    Article  Google Scholar 

  • Malone II J. M. „Regression without models: Directions in the search for structure”.In Self-Organizing Methods in Modeling-GMDH Type Algorithms, Farlow J., ed. New York: Marcel Dekker, 1984.

    Google Scholar 

  • Mankiw N. G., Sharpio M., Risk and return: Consumption beta versus market beta. Review of Economics and Statistics 1986; 48: 452–9.

    Article  Google Scholar 

  • Mankiw N. G., Zeldes P., The consumption of stockholders and non-stockholders. Journal of Financial Economics 1991; 29: 97–112.

    Article  Google Scholar 

  • Mas-Collel A., The price equilibrium existence problem in topological vector lattices. Econometrica 1986; 54: 1039–53.

    Article  Google Scholar 

  • Mash T. A., Merton R. C., Dividend variability and variance bounds tests for the rationality of stock market prices. American Economic Review 1986: 76: 483–98.

    Google Scholar 

  • Mehra R., Prescott E., The equity risk premium: A puzzle. Journal of Monetary-Economics 1985; 10: 335–59.

    Google Scholar 

  • Meyer B: Variance bounds for pricing kernels in intertemporal asset pricing models: The German case.Geld, Banken, Versicherungen 1997.

    Google Scholar 

  • Müller J.-A., „Self-organization of models-Present state”. In Proceedings of EUROSIM’95 Conference Vienna, 1995.

    Google Scholar 

  • Müller J.-A., Ivakhnenko G. A., Recent developments of self-organizing modeling in prediction and analysis of stock market. Working Paper, HTW Dresden, 1997.

    Google Scholar 

  • Nawalkha K., A multibeta representation theorem for linear asset pricing theories. Journal of Financial Economics 1997; 46: 357–81.

    Article  Google Scholar 

  • Nelson C. R., Inflation and rates of returns on common stocks. Journal of Finance 1976; 31:471–83.

    Article  Google Scholar 

  • Nowak T. Faktormodelle in der Kapitalmarkttheorie, Cologne: Bottermann 1994.

    Google Scholar 

  • Poterba J., Summers L., Mean reversion in stock prices: Evidence and implications. Journal of Financial Economics 1988; 22: 27–59.

    Article  Google Scholar 

  • Refenes A. N., Neural model identification, variable selection and model adequacy, In Proceedings of the 6th Karslruhe Econometrics Workshop, Heidelberg: Physica 1998.

    Google Scholar 

  • Reisman H., Reference variables, factor structure, and the approximate multibeta representation. Journal of Finance 1992; 47: 1303–14.

    Article  Google Scholar 

  • Ross A., A simple approach to the valuation of risky streams. Journal of Business 1978;51:453–75.

    Article  Google Scholar 

  • Samuelson P. A., Proof that properly anticipated prices fluctuate randomly. Industrial Management Review 1965; 6: 41–9.

    Google Scholar 

  • Shiller R. J., Do stock prices move too much to be justified by subsequent changes in dividends?. American Economic Review 1981; 71: 421–36.

    Google Scholar 

  • Shiller R. J., Stock prices and social dynamics. Brookings Papers on Economic Activity 1984, 2:457–510.

    Article  Google Scholar 

  • Shiller R. J., The volatility of long-term interest rates and expectations models of the term structure. Journal of Political Economy 1979 87: 1190–219.

    Article  Google Scholar 

  • Snow K. N., Diagnosing asset pricing models using the distribution of asset returns. Journal of Finance 1991; 46: 955–83.

    Article  Google Scholar 

  • Stambaugh R. F., Discussion. Journal of Finance 1986; 41: 601–2.

    Google Scholar 

  • Steiner M., Wittkemper H.-G., Aktienrendite-Schätzungen mit Hilfe künstlicher neuronaler Netze. Finanzmarkt und Portfolio-Management 1993; 7: 443–458.

    Google Scholar 

  • Steiner M., Wittkemper H.-G., Portfolio optimization with a neural network implementation of the Coherent Market Hypothesis. European Journal of Operational Research 1997; 27–40.

    Google Scholar 

  • Steiner M., Schneider S., Wolf J. B. „An analysis of the financing behavior of German stock corporations using artificial neural networks”. In Proceedings of the 6th Karslruhe Econometrics Workshop, Heidelberg: Physica, 1998.

    Google Scholar 

  • Stepashko V., Asymptotic properties of external criteria for model selection. Soviet Journal of Automation and Information Sciences 1989b; 21: 84–92.

    Google Scholar 

  • Stepashko V., GMDH algorithms as basis of modeling process automation after experimental data. Soviet Journal of Automation and Information Sciences 1989a; 21:43–53.

    Google Scholar 

  • Summers L. H., Does the stock market rationally reflect fundamental values?. Journal of Finance 1986; 41: 591–601.

    Article  Google Scholar 

  • Wallmeier, M. Prognose von Aktienrenditen und-risiken mil Mehrfaktorenmodellen, Bad Soden: Uhlenbruch, 1997.

    Google Scholar 

  • West K., Bubbles, fads and stock price volatility: A partial evaluation. Journal of Finance 1988; 43: 636–56.

    Article  Google Scholar 

  • Zame W. R., Competitive equilibria in production economics with an infinite dimensional commodity space. Econometrica 1987; 55: 1075–1108.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Steiner, M., Schneider, S. (1998). Time Varying Risk Premia. In: Refenes, AP.N., Burgess, A.N., Moody, J.E. (eds) Decision Technologies for Computational Finance. Advances in Computational Management Science, vol 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5625-1_3

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-5625-1_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-7923-8309-3

  • Online ISBN: 978-1-4615-5625-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics