We develop a lattice method for pricing lookback options in a regime-switching market environment. We assume the market is governed by a two-state Markov chain and stock volatility can change whenever the market environment changes. We develop a method which resolves the bias in the binomial...

Psychological barriers are prevalent among various asset classes, and it is important to consider their impact on the prices of derivative securities. This paper demonstrates the potential existence of such barriers on the S&P 500 Index and examines their impact on this index's rate of return...

We provide an analytic valuation formula for convertible bonds with regime-switching market conditions. We divide the convertible bond into a coupon-bearing bond component and an American-type exchange option component. We develop a new valuation method of the exchange option component by...

This paper presents a new method for evaluating European options with regime switching. We represent their value as a sum of integrations over simplexes and show the integrations can be approximated by the method of Grundmann and Moller (1978). The method is applicable to the valuation of...

We present an approach for pricing American put options with a regime-switching volatility. Our method reveals that the option price can be expressed as the sum of two components: the price of a European put option and the premium associated with the early exercise privilege. Our analysis...