Using a Levy process we generalize formulas in Bo et al.(2010) for the Esscher transform parameters for the log-normal distribution which ensure the martingale condition holds for the discounted foreign exchange rate. Using these values of the parameters we find a risk-neural measure and provide...

The Markov-modulated (B; S)-securities market is a (B; S)-security market, consisting of riskless asset, bond B; and risky asset, stock S; in random media X; or (B; S)-security market driven by a Markov process xt 2 X: We study the pricing options for Markovmodulated fractional Brownian (B;...

We introduce and study a new stochastic SARS model (based on stochastic SIR model with semi-Markov regime-switchings) and investigate its behavior in averaging, merging and diffusion approximation schemes. The main method is based on general theory of random differential equations in semi-Markov...

We derived similar to Bo et al. (2010) results but in the case when the dynamics of the FX rate is driven by a general Merton jump-diffusion process. The main results of our paper are as follows: 1) formulas for the Esscher transform parameters which ensure that the martingale condition for the...

<i>Modeling and Pricing of Swaps for Financial and Energy Markets with Stochastic Volatilities</i> is devoted to the modeling and pricing of various kinds of swaps, such as those for variance, volatility, covariance, correlation, for financial and energy markets with different stochastic volatilities,...

Modeling and Pricing of Swaps for Financial and Energy Markets with Stochastic Volatilities is devoted to the modeling and pricing of various kinds of swaps, such as those for variance, volatility, covariance, correlation, for financial and energy markets with different stochastic volatilities,...