
handle: 10419/104833
Abstract In this paper, we reexamine and extend the stochastic volatility model of Stein and Stein (S&S) (1991) where volatility follows a mean–reverting Ornstein–Uhlenbeck process. Using Fourier inversion techniques we are able to allow for correlation between instantaneous volatilities and the underlying stock returns. A closed-form pricing solution for European options is derived and some numerical examples are given. In addition, we discuss the boundary behaviour of the instantaneous volatility at v(t) = 0 and show that S&S do not work with an absolute value process of volatility. JEL Classification: G13
ddc:330, Stochastic models in economics, Börsenkurs, Volatilität, Stochastischer Prozess, Derivative securities (option pricing, hedging, etc.), mean-reversion, volatility smile, Fourier inversion, Optionspreistheorie, stochastic volatility, Ornstein-Uhlenbeck process, option pricing, Theorie
ddc:330, Stochastic models in economics, Börsenkurs, Volatilität, Stochastischer Prozess, Derivative securities (option pricing, hedging, etc.), mean-reversion, volatility smile, Fourier inversion, Optionspreistheorie, stochastic volatility, Ornstein-Uhlenbeck process, option pricing, Theorie
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