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Infering Forward Looking Financial Market Risk Premia from Derivatives Prices

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This paper focuses on a topical and important area of theory and practice ie. The risk premium in financial markets. While there exists a vast amount of research into its behaviour, particularly in US markets, this is largely based on regression based techniques which do not capture well the dynamic and forward looking nature of the risk premium. In this paper the variation of the unobserved risk premium is modelled by a system of stochastic differential equations connected by arbitrage arguments between the spot equity market, the index futures and options on index futures. Although various processes for the dynamic of the risk premium may be considered, we motivate and analyse a mean-reverting form. The diffusion part is specified such that the risk premium remains positive. Since the risk premium is not directly observable, information on it is extracted using an unobserved component state space formulation of the system and filtering methodology. As an initial application of the methodology, the results from daily Australian market data from the SFE over a period of twelve months are presented. The small sample properties of the parameter estimates are also examined by bootstrapping the state space system. It is well known in the filtering literature that the estimation of state space system by Kalman filter is sensitive to the specification of the quantities such as initial state variables and the prior covariance matrix. The paper also carries out approximate sensitivity analysis in this respect.

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  • Ram Bhar & Carl Chiarella, 2000. "Infering Forward Looking Financial Market Risk Premia from Derivatives Prices," Research Paper Series 42, Quantitative Finance Research Centre, University of Technology, Sydney.
    • Handle: RePEc:uts:rpaper:42
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    1. Lo, Andrew W., 1988. "Maximum Likelihood Estimation of Generalized Itô Processes with Discretely Sampled Data," Econometric Theory, Cambridge University Press, vol. 4(2), pages 231-247, August.
    2. R. Bhar & C. Chiarella, 1997. "Transformation of Heath?Jarrow?Morton models to Markovian systems," The European Journal of Finance, Taylor & Francis Journals, vol. 3(1), pages 1-26, March.
    3. Bekaert, Geert & Harvey, Campbell R, 1995. "Time-Varying World Market Integration," Journal of Finance, American Finance Association, vol. 50(2), pages 403-444, June.
    4. Ferson, Wayne E & Harvey, Campbell R, 1991. "The Variation of Economic Risk Premiums," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 385-415, April.
    5. Bollerslev, Tim & Engle, Robert F & Wooldridge, Jeffrey M, 1988. "A Capital Asset Pricing Model with Time-Varying Covariances," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 116-131, February.
    6. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    7. Evans, Martin D D, 1994. "Expected Returns, Time-Varying Risk, and Risk Premia," Journal of Finance, American Finance Association, vol. 49(2), pages 655-679, June.
    8. Chan, K. C. & Karolyi, G. Andrew & Stulz, ReneM., 1992. "Global financial markets and the risk premium on U.S. equity," Journal of Financial Economics, Elsevier, vol. 32(2), pages 137-167, October.
    9. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    10. Robert A. Jarrow & Arkadev Chatterjea, 2019. "The Heath–Jarrow–Morton Libor Model," World Scientific Book Chapters, in: An Introduction to Derivative Securities, Financial Markets, and Risk Management, chapter 25, pages 618-654, World Scientific Publishing Co. Pte. Ltd..
    11. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
    12. Bos, T & Newbold, P, 1984. "An Empirical Investigation of the Possibility of Stochastic Systematic Risk in the Market Model," The Journal of Business, University of Chicago Press, vol. 57(1), pages 35-41, January.
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