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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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    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. David S. Bates, 1995. "Testing Option Pricing Models," NBER Working Papers 5129, National Bureau of Economic Research, Inc.
    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. Torben G. Andersen & Luca Benzoni & Jesper Lund, 2002. "An Empirical Investigation of Continuous‐Time Equity Return Models," Journal of Finance, American Finance Association, vol. 57(3), pages 1239-1284, June.
    9. 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.
    10. Chiarella, Carl & Hung, Hing & T, Thuy-Duong, 2009. "The volatility structure of the fixed income market under the HJM framework: A nonlinear filtering approach," Computational Statistics & Data Analysis, Elsevier, vol. 53(6), pages 2075-2088, April.
    11. Jiang, George J. & Oomen, Roel C.A., 2008. "Testing for jumps when asset prices are observed with noise-a "swap variance" approach," Journal of Econometrics, Elsevier, vol. 144(2), pages 352-370, June.
    12. Jeonggyu Huh, 2018. "Measuring Systematic Risk with Neural Network Factor Model," Papers 1809.04925, arXiv.org.
    13. 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.
    14. 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.
    15. Chernov, Mikhail, 2003. "Empirical reverse engineering of the pricing kernel," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 329-364.
    16. repec:dgr:rugsom:98a40 is not listed on IDEAS
    17. Huh, Jeonggyu, 2020. "Measuring systematic risk with neural network factor model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    18. 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.
    19. Peter M. Garber & Michael G. Spencer, 1996. "Dynamic Hedging and the Interest Rate Defense," NBER Chapters, in: The Microstructure of Foreign Exchange Markets, pages 209-228, National Bureau of Economic Research, Inc.

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