Black and Scholes (1973) implied volatilities tend to be systematically related to the option's exercise price and time to expiration. Derman and Kani (1994), Dupire (1994), and Rubinstein (1994) attribute this behavior to the fact that the Black-Scholes constant volatility assumption is...

We develop a method that allows one to compute incomplete-market equilibria routinely for Markovian equilibria (when they exist). The main difficulty to be overcome arises from the set of state variables. There are, of course, exogenous state variables driving the economy but, in an incomplete...

In this essay, I discuss and compare two ways of modeling international capital market equilibrium: the orthodox, general-equilibrium approach and the heterodox, partial-equilibrium CAPM (Capital Asset Pricing Model) approach. The benchmark for this comparison is the model's ability to provide...