Showing 1 - 8 of 8
In this paper we consider the pricing of an American call option whose underlying asset dynamics evolve under the influence of two independent stochastic volatility processes of the Heston (1993) type. We derive the associated partial differential equation (PDE) of the option price using hedging...
Persistent link: https://www.econbiz.de/10009357760
In this paper we consider the evaluation of American call options on dividend paying stocks in the case where the underlying asset price evolves according to Heston’s (1993) stochastic volatility model. We solve the Kolmogorov partial differential equation associated with the driving...
Persistent link: https://www.econbiz.de/10010754097
This paper considers the problem of pricing American options when the dynamics of the underlying are driven by both stochastic volatility following a square root process as used by Heston (1993), and by a Poisson jump process as introduced by Merton (1976). Probability arguments are invoked to...
Persistent link: https://www.econbiz.de/10008492104
Margrabe provides a pricing formula for an exchange option where the distributions of both stock prices are log-normal with correlated Wiener components. Merton has provided a formula for the price of a European call option on a single stock where the stock price process contains a continuous...
Persistent link: https://www.econbiz.de/10004984495
This paper surveys some of the literature on American option pricing, in particular the representations of McKean (1965), Kim (1990) and Carr, Jarrow and Myneni (1992). It is proposed that the approach regarding the problem as a free boundary value problem, and solving this via incomplete...
Persistent link: https://www.econbiz.de/10004984501
This paper considers the Fourier transform approach to derive the implicit integral equation for the price of an American call option in the case where the underlying asset follows a jump-diffusion process. Using the method of Jamshidian (1992), we demonstrate that the call option price is given...
Persistent link: https://www.econbiz.de/10004984546
This paper presents a numerical method for pricing American call options where the underlying asset price follows a jump-diffusion process. The method is based on the Fourier-Hermite series expansions of Chiarella, El-Hassan & Kucera (1999), which we extend to allow for Poisson jumps, in the...
Persistent link: https://www.econbiz.de/10004984580
This paper considers the problem of numerically evaluating American option prices when the dynamics of the underlying are driven by both stochastic volatility following the square root process of Heston (1993), and by a Poisson jump process of the type originally introduced by Merton (1976). We...
Persistent link: https://www.econbiz.de/10004987159