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Estimating a stochastic volatility model for DAX-Index options

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Marzia Freo ()

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Abstract

The paper examines alternative strategies for pricing and hedging options on German DAX-index. To this purpose an affine stochastic volatility model is estimated directly on objective probability system through a three step approach. Errors obtained by the implementation of the stochastic volatility model and Black and Scholes with different historical and implied volatility measures are compared and the performance is evaluated in terms of out-of-sample pricing and hedging. The results for DAX-index options market support the estimation on the affine stochastic volatility model in pricing as well as in hedging procedures.

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File URL: http://amsacta.cib.unibo.it/archive/00002285/01/quaderni_ricerche_mf_estimatingstochastic.pdf
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Paper provided by Department of Statistics, University of Bologna in its series Quaderni di Dipartimento with number 4.

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Date of creation: 2003
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Handle: RePEc:bot:quadip:72

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  1. Chernov, Mikhail & Ronald Gallant, A. & Ghysels, Eric & Tauchen, George, 2003. "Alternative models for stock price dynamics," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 225-257. [Downloadable!] (restricted)
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  2. 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)
  3. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 6(2), pages 327-43. [Downloadable!] (restricted)
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This page was last updated on 2009-12-11.


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