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Equilibrium option pricing: A Monte Carlo approach

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  • Buchner, Axel

Abstract

This paper presents a novel Monte Carlo method for option pricing that is based on a general equilibrium model. The advantage of the method compared to the standard risk-neutral pricing approach is that it does not require the specification of a market price of risk, making the method particularly suitable for pricing in incomplete markets. The method produces a strongly consistent estimator for the option price which exhibits the same error convergence rate as the standard risk-neutral pricing Monte Carlo approach. For illustration, the procedure is applied to the pricing of options under stochastic volatility.

Suggested Citation

  • Buchner, Axel, 2015. "Equilibrium option pricing: A Monte Carlo approach," Finance Research Letters, Elsevier, vol. 15(C), pages 138-145.
    • Handle: RePEc:eee:finlet:v:15:y:2015:i:c:p:138-145
    DOI: 10.1016/j.frl.2015.09.004
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    References listed on IDEAS

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    1. Robert A. Jarrow & Dilip B. Madan, 1997. "Is Mean-Variance Analysis Vacuous: Or was Beta Still Born?," Review of Finance, European Finance Association, vol. 1(1), pages 15-30.
    2. Boyle, Phelim & Broadie, Mark & Glasserman, Paul, 1997. "Monte Carlo methods for security pricing," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1267-1321, June.
    3. Roger Lord & Remmert Koekkoek & Dick Van Dijk, 2010. "A comparison of biased simulation schemes for stochastic volatility models," Quantitative Finance, Taylor & Francis Journals, vol. 10(2), pages 177-194.
    4. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    5. Mark Rubinstein, 1976. "The Valuation of Uncertain Income Streams and the Pricing of Options," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 407-425, Autumn.
    6. Boyle, Phelim P., 1977. "Options: A Monte Carlo approach," Journal of Financial Economics, Elsevier, vol. 4(3), pages 323-338, May.
    7. Husmann, Sven & Todorova, Neda, 2011. "CAPM option pricing," Finance Research Letters, Elsevier, vol. 8(4), pages 213-219.
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    Cited by:

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    More about this item

    Keywords

    Option pricing; Monte Carlo simulation; Stochastic volatility; Incomplete markets;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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