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  • an approximate method to option pricing in the heston model

    نویسندگان :
    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1391/01/01
    • تاریخ انتشار در تی پی بین: 1391/01/01
    • تعداد بازدید: 721
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     the heston model is one of the most popular stochastic volatility models for derivatives pricing, and it is a mathematical model describing the evolution of the volatility of an un-derlying asset. the model proposed by heston (1993), takes into account non-lognormal distribution of the assets returns, leverage effect and the important mean-reverting prop-erty of volatility. in addition, it has a semi-closed form solution for european options. in this paper by means of classical it^o calculus, we decompose option prices as the sum of the classical black-scholes formula.this decomposition allows us to develop rst- and second-order approximation formulas for option prices and implied volatilities in the hes-ton volatility framework, as well as to study their accuracy for short maturities. moreover, we show that the corresponding approximations for the implied volatility are linear (rst-order approximation) and quadratic (second-order approximation) in the log stock price.

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