A Mean-Reverting Stochastic Volatility Option-Pricing Model with an Analytic Solution

A Mean-Reverting Stochastic Volatility Option-Pricing Model with an Analytic Solution
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Total Pages : 45
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ISBN-10 : OCLC:1290398941
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Book Synopsis A Mean-Reverting Stochastic Volatility Option-Pricing Model with an Analytic Solution by : Henrik Andersson

Download or read book A Mean-Reverting Stochastic Volatility Option-Pricing Model with an Analytic Solution written by Henrik Andersson and published by . This book was released on 2002 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we derive a closed form approximation to a stochastic volatility option-pricing model and propose a variant of EGARCH for parameter estimation. The model thereby provides a consistent approach to the problem of option pricing and parameter estimation. Using Swedish stocks, the model provides a good fit to the heteroscedasticity prevalent in the time-series. The stochastic volatility model also prices options on the underlying stock more accurately than the traditional Black-Scholes formula. This result holds for both historic and implied volatility. A large part of the volatility smile that is observed for options of different maturity and exercise prices is thereby explained.


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