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A Note on Option Pricing with the Use of Discrete-Time Stochastic Volatility Processes

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Author Info
Anna Pajor () (Cracow University of Economics)
Abstract

In this paper we show that in the lognormal discrete-time stochastic volatility model with predictable conditional expected returns, the conditional expected value of the discounted payoff of a European call option is infinite. Our empirical illustration shows that the characteristics of the predictive distributions of the discounted payoffs, obtained using Monte Carlo methods, do not indicate directly that the expected discounted payoffs are infinite.

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Publisher Info
Article provided by Polish Academy of Sciences, The Lodz Branch in its journal Central European Journal of Economic Modelling and Econometrics.

Volume (Year): 1 (2009)
Issue (Month): 1 (March)
Pages: 71-81
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Handle: RePEc:psc:journl:v:1:y:2009:i:1:p:71-81

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Related research
Keywords: option pricing; SV model; Bayesian forecasting;

Find related papers by JEL classification:
C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Bayesian Analysis
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Other Model Applications

References listed on IDEAS
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  1. Jacquier, Eric & Polson, Nicholas G. & Rossi, P.E.Peter E., 2004. "Bayesian analysis of stochastic volatility models with fat-tails and correlated errors," Journal of Econometrics, Elsevier, vol. 122(1), pages 185-212, September. [Downloadable!] (restricted)
  2. Jiang, G. & Sluis, P.J. van der, 2000. "Index option pricing models with stochastic volatility and stochastic interest rates," Discussion Paper 36, Tilburg University, Center for Economic Research. [Downloadable!]
  3. Hull, John C & White, Alan D, 1987. " The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June. [Downloadable!] (restricted)
  4. 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 637-54, May-June. [Downloadable!] (restricted)
  5. Amin, Kaushik I & Ng, Victor K, 1993. " Option Valuation with Systematic Stochastic Volatility," Journal of Finance, American Finance Association, vol. 48(3), pages 881-910, July. [Downloadable!] (restricted)
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This page was last updated on 2009-11-25.

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