We develop a comprehensive mathematical framework for polynomial jump-diffusions in a semimartingale context, which nest affine jump-diffusions and have broad applications in finance. We show that the polynomial property is preserved under polynomial transformations and Lévy time change. We...

We develop a tractable partial equilibrium model to analyze the impact on the bond market generated by a ban on naked credit default swaps. We demonstrate that such a ban will have a negligible impact on the borrowing costs if CDS speculators are risk averse and take positions which are small...

We examine the connection between discrete-time models of financial markets and the celebrated Black--Scholes--Merton (BSM) continuous-time model in which ''markets are complete." Suppose that (a) the probability law of a sequence of discrete-time models converges to the law of the BSM model and...