In this paper, we provide an analytic valuation method for European-type contingent claims written on multiple assets in a stochastic market environment. We employ a two-state Markov regime-switching volatility in order to reflect the stochastically-changing market condition. The method is...

We find a closed-form formula for valuing a time-switch option where its underlying asset is affected by a stochastically changing market environment, and apply it to the valuation of other qualitative options such as corridor options and options in foreign exchange markets. The stochastic...

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...

We derive analytic valuation formulas for range accrual notes and spread range accrual notes under an affine term structure model with jump risks. We show that the value of a range accrual note can be significantly affected by the choice of interest rate model and the arrival intensity of jump...

We develop a structural model that incorporates both macroeconomic risks and firm-specific jump risks. Using this model, we derive analytic formulas for default probability, equity price, and CDS spreads. We show that including the two types of risk in credit risk modeling can generate better...