In this paper, we present a discrete time regime switching binomial-like model of the term structure where the regime switches are governed by a discrete time semi-Markov process. We model the evolution of the prices of zero-coupon when given an initial term structure as in the model by Ho and...

This dissertation considers the pricing and hedging of contingent claims in a generalsemimartingale market. Initially the focus is on a complete market, where it ispossible to price uniquely and hedge perfectly. In this context the two fundamentaltheorems of asset pricing are explored. The...

Contingent claims with payoffs depending on finitely many asset prices are modeled as elements of a separable Hilbert space. Under fairly general conditions, including market completeness, it is shown that one may change measure to a reference measure under which asset prices are Gaussian and...

In a frictionless and competitive economy, where high frequency (HF) traders possess no market power, this paper characterizes necessary and sufficient conditions on the price process and information sets for HF traders to earn abnormal trading profits. Two sufficient conditions shown to...