We develop a simple robust test for the presence of continuous and discontinuous (jump) components in the price of an asset underlying an option. Our test examines the prices of at-the-money and out-of-the-money options as the option maturity approaches zero. We show that these prices converge...

We consider the hedging of derivative securities when the price movement of the underlying asset can exhibit random jumps. Under a one factor Markovian setting, we derive a spanning relation between a long term option and a continuum of short term options. We then apply this spanning relation to...

We test a theory that provides a simple and robust linkage between the market prices of credit default swaps (CDS) and far out-of-the-money equity American put options on the same reference company. The linkage is established under a general class of stock price dynamics. We assume that the...

The most widely used option pricing model is the Black-Scholes model.We motivate an alternative option pricing model called the Variance Gamma (VG) model and demonstrate its implementation in the Bloomberg system

We propose a direct and robust method for quantifying the variance risk premium on financial assets. We theoretically and numerically show that the risk-neutral expected value of the return variance, also known as the variance swap rate, is well approximated by the value of a particular...

We propose a dynamically consistent framework that allows joint valuation and estimation of stock options and credit default swaps written on the same reference company. We model default as controlled by a Poisson process with a stochastic default arrival rate. When default occurs, the stock...