in this paper we have utilized optimum control procedures to derive an optimum monetary rule for iran’s economy ; assuming the policy makers are using the interest rate as a policy variable. in doing so a dynamic stochastic model with rational expectation was setup. the model is calibrated with the use of previous findings in the literature. the results show that the optimum reacrion of the pol...

In this paper, European option pricing with stochastic volatility forecasted by well known GARCH model is discussed in context of Indian financial market. The data of Reliance Ltd. stockprice from 3/01/2000 to 30/03/2009 is used and resulting partial differential equation is solved byCrank-Nicolson finite difference method for various interest rates and maturity in time. Thesensitivity measures...

In this work, we consider the issue of pricing exchange options and spread options with stochastic interest rates. We provide the closed form solution for the exchange option price when interest rate is stochastic. Our result holds when interest rate is modeled with a stochastic term structure of general form, which includes Vasicek model, CIR term structure, and other well-known term structure...