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Convergence Speed Of Garch Option Price To Diffusion Option Price

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Author Info
JIN-CHUAN DUAN () (National University of Singapore, Singapore)
YAZHEN WANG () (University of Wisconsin and National Science Foundation, USA)
JIAN ZOU () (University of Connecticut, USA)
Abstract

It is well known that as the time interval between two consecutive observations shrinks to zero, a properly constructed GARCH model will weakly converge to a bivariate diffusion. Naturally the European option price under the GARCH model will also converge to its bivariate diffusion counterpart. This paper investigates the convergence speed of the GARCH option price. We show that the European option prices under the two corresponding models are equal up to an order near the square root of the length of discrete time interval.

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Publisher Info
Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Journal of Theoretical and Applied Finance.

Volume (Year): 12 (2009)
Issue (Month): 03 ()
Pages: 359-391
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Handle: RePEc:wsi:ijtafx:v:12:y:2009:i:03:p:359-391

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Related research
Keywords: Convergence rate; European option; stochastic volatility;

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This page was last updated on 2009-12-9.


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