We construct a Heston-type stochastic volatility model with a Markov switching regime to price a plain-vanilla stock option. A semi-analytic solution, which contains a matrix ODE is obtained and numerically calculated. Our model is flexible enough to provide a wide variety of volatility surfaces...

In this paper, we have developed a continuous time general equilibrium model in an economy which has two states, a 'good' state and a 'bad' state. There are two types of shocks in the economy: small shocks and large shocks. The small shocks which only affect the individual price movements are...

This paper is intended to elaborate regime switching and optimal investment timing in a real option framework. The paper differs from the existing literature in a significant way. In this paper we first consider an irreversible investment timing decision by adding a hidden Markov process to...

Modeling of uncertainty by probability errs by ignoring the uncertainty in probability. When financial valuation recognizes the uncertainty of probability the best the market may offer is a two price framework of a lower and upper valuation. The martingale theory of asset prices is then replaced...

This paper investigates the weak convergence of general non-Gaussian GARCH models together with an application to the pricing of European style options determined using an extended Girsanov principle and a conditional Esscher transform as the pricing kernel candidates. Applying these changes of...

We consider a discrete time pairs trading model which includes regime changes in the dynamics. The prices of the pair of assets, and so their difference or spread, depend on the state of the market, which in turn is modelled by a finite state Markov chain. Different states of the chain give rise...

Previous work on multifactor term structure models has proposed that the short rate process is a function of some unobserved diffusion process. We consider a model in which the short rate process is a function of a Markov chain which represents the 'state of the world'. This enables us to obtain...

This study presents a set of closed-form exact solutions for pricing discretely sampled variance swaps and volatility swaps, based on the Heston stochastic volatility model with regime switching. In comparison with all the previous studies in the literature, this research, which obtains...

In this paper we model the instantaneous spot interest rate in a financial market by means of a marked point process with bounded, predictable intensity. The transformed intensity of the point process vanishes when the interest rate leaves a prescribed bounded interval. We show that the pure...

In this paper we model the instantaneous spot interest rate in a financial market by means of a marked point process with bounded, predictable intensity. The transformed intensity of the point process vanishes when the interest rate leaves a prescribed bounded interval. We show that the pure...