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A Continuous-Time Arbitrage-Pricing Model with Stochastic Volatility and Jumps

Author

Listed:
  • Ho, Mun S
  • Perraudin, William R M
  • Sorensen, Bent E

Abstract

The authors formulate and test a continuous time asset pricing model using U.S. equity market data. They assume that stock returns are driven by common factors including random jump-size Poisson processes and Brownian motions with stochastic volatility. The model places over-identifying restrictions on the mean returns allowing one to identify risk neutral probability distributions useful in pricing derivative securities. The authors test for the restrictions and decompose moments of the asset returns into the contributions made by different factors. Their econometric methods take full account of time aggregation.

Suggested Citation

  • Ho, Mun S & Perraudin, William R M & Sorensen, Bent E, 1996. "A Continuous-Time Arbitrage-Pricing Model with Stochastic Volatility and Jumps," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(1), pages 31-43, January.
  • Handle: RePEc:bes:jnlbes:v:14:y:1996:i:1:p:31-43
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    References listed on IDEAS

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    1. Saikkonen, Pentti, 1992. "Estimation and Testing of Cointegrated Systems by an Autoregressive Approximation," Econometric Theory, Cambridge University Press, vol. 8(01), pages 1-27, March.
    2. Zellner, Arnold & Palm, Franz, 1974. "Time series analysis and simultaneous equation econometric models," Journal of Econometrics, Elsevier, vol. 2(1), pages 17-54, May.
    3. repec:cup:etheor:v:8:y:1992:i:1:p:1-27 is not listed on IDEAS
    4. Granger, C. W. J. & Newbold, Paul, 1986. "Forecasting Economic Time Series," Elsevier Monographs, Elsevier, edition 2, number 9780122951831 edited by Shell, Karl.
    5. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    6. Wallis, Kenneth F, 1977. "Multiple Time Series Analysis and the Final Form of Econometric Models," Econometrica, Econometric Society, vol. 45(6), pages 1481-1497, September.
    7. Tsay, Ruey S, 1989. "Parsimonious Parameterization of Vector Autoregressive Moving Average Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(3), pages 327-341, July.
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    Citations

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    Cited by:

    1. Andersen, Torben G & Sorensen, Bent E, 1996. "GMM Estimation of a Stochastic Volatility Model: A Monte Carlo Study," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 328-352, July.
    2. Jiang, George J., 1998. "Jump-diffusion model of exchange rate dynamics : estimation via indirect inference," Research Report 98A40, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    3. David S. Bates, 2001. "The Market for Crash Risk," NBER Working Papers 8557, National Bureau of Economic Research, Inc.
    4. Meddahi, N., 2001. "An Eigenfunction Approach for Volatility Modeling," Cahiers de recherche 2001-29, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    5. Bates, David S., 2008. "The market for crash risk," Journal of Economic Dynamics and Control, Elsevier, vol. 32(7), pages 2291-2321, July.
    6. Michael Rockinger & Maria Semenova, 2005. "Estimation of Jump-Diffusion Process vis Empirical Characteristic Function," FAME Research Paper Series rp150, International Center for Financial Asset Management and Engineering.
    7. Christoffersen, Peter & Jacobs, Kris & Ornthanalai, Chayawat, 2012. "Dynamic jump intensities and risk premiums: Evidence from S&P500 returns and options," Journal of Financial Economics, Elsevier, vol. 106(3), pages 447-472.
    8. Robert Tompkins, 2006. "Why Smiles Exist in Foreign Exchange Options Markets: Isolating Components of the Risk Neutral Process," The European Journal of Finance, Taylor & Francis Journals, vol. 12(6-7), pages 583-603.
    9. repec:dgr:rugsom:98a40 is not listed on IDEAS
    10. George J. Jiang & Pieter J. van der Sluis, 1998. "Pricing Stock Options under Stochastic Volatility and Stochastic Interest Rates with Efficient Method of Moments Estimation," Tinbergen Institute Discussion Papers 98-067/4, Tinbergen Institute.
    11. Mikhail Chernov & A. Ronald Gallant & Eric Ghysels & George Tauchen, 1999. "A New Class of Stochastic Volatility Models with Jumps: Theory and Estimation," CIRANO Working Papers 99s-48, CIRANO.

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