INDIFFERENCE PRICING FOR CONTINGENT CLAIMS: LARGE DEVIATIONS EFFECTS

Pricing Continuously Resettled Contingent Claims

This paper is a study of continuously resettled contingent claims prices in a stochastic economy. As special cases, the relationship between futures and forward prices is analyzed, and a preference-free expression is derived for these prices, as well as the price of a continuously resettled futures option, whose formula differs from Black’s futures option pricing formula due to the effects of m...

Indifference Pricing and Hedging of Defaultable Claims

Semiparametric pricing of multivariate contingent claims

This paper develops and implements a methodology for pricing multivariate contingent claims (MVCC's) based on semiparametric estimation of the multivariate risk-neutral density function. This methodology generates MVCC prices which are consistent with current market prices of univariate contingent claims. This method allows for completely general marginal risk-neutral densities and is compatibl...

Partial Differential Equation Pricing of Contingent Claims under Stochastic Correlation

In this paper, we study a partial differential equation (PDE) framework for option pricing where the underlying factors exhibit stochastic correlation, with an emphasis on computation. We derive a multi-dimensional time-dependent PDE for the corresponding pricing problem, and present a numerical PDE solution. We prove a stability result, and study numerical issues regarding the boundary conditi...

An Asymptotic Expansion Approach to Pricing Financial Contingent Claims

We propose a new methodology for the valuation problem of financial contingent claims when the underlying asset prices follow a general class of continuous Itô processes. Our method can be applicable to a wide range of valuation problems including contingent claims associated with stocks, foreign exchange rates, the term structure of interest rates, and even their combinations. We illustrate ou...