We study the behavior of real exchange rates in a two­country dynamic equilibrium model. In this model, consumers can only consume domestic goods but can invest costlessly in capital stocks of both countries. Nevertheless, transporting goods between the two countries is costly and, hence, the...

This article analyzes the specifications of option pricing models based on time-changed Levy processes. We classify option pricing models based on (i) the structure of the jump component in the underlying return process, (ii) the source of stochastic volatility, and (iii) the specification of...

Prices of currency options commonly differ from the Black-Scholes formula along two dimensions: implied volatilities vary by strike price (volatility smiles) and maturity (implied volatility of at­the­money options increases, on average, with maturity). We account for both using Gram­Charlier...

We document a surprising pattern in market prices of S&P 500 index options. When implied volatilities are graphed against a standard measure of moneyness, the implied volatility smirk does not flatten out as maturity increases up to the observable horizon of two years. This behavior contrasts...

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 at­the­money and out­of­the­money options as the option maturity approaches zero. We show that these prices...

As is well known, the classic Black­Scholes option pricing model assumes that returns follow Brownian motion. It is widely recognized that return processes differ from this benchmark in at least three important ways. First, asset prices jump, leading to non­normal return innovations. Second,...

We study market-timing strategies on a given portfolio to achieve a particular risk or return target. Targeting a constant risk level leads to increasing investment at better investment opportunities whereas targeting a constant expected return does the opposite. Theoretical and numerical...

This paper develops a new top-down valuation framework that links the pricing of an option investment to its daily profit and loss attribution. The framework uses the Black-Merton-Scholes option pricing formula to attribute the short-term option investment risk to variations in the underlying...

This paper proposes a linear option pricing model by imposing common market pricing on decentralized risk exposure estimates across option contracts underlying the same security. The model embeds historical moment estimators to anchor the breakeven contribution of each risk source. A...

Classic option pricing theory values a derivative contract via dynamic replication, and views the derivative as redundant relative to the replicating portfolio. In practice, while dynamic replication proves highly effective in drastically reducing the risk in derivative investments, the...