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...

Implied volatility quot;smilesquot; have been documented in a number of option markets worldwide. The volatilities implied by the Black-Scholes (1973) model tend to be systematically related to the option's exercise price and time to expiration. Derman and Kani (1994), Dupire (1994), and...

How does a firm in one country evaluate an investment in a firm in another country, or how does it evaluate a foreign project that the firm itself is undertaking? The firm must estimate future free cash flows just as in a domestic project, but choosing an appropriate discount rate is a...

Transferring physical capital and transferring production and sales activities from one country to the other typically entails large adjustment costs. The model of this paper features two homogeneous stocks of physical capital located in two different countries separated by an 'ocean'. The two...

When several investors with different risk aversions trade competitively in a capital market, the allocation of wealth fluctuates randomly between them and acts as a state variable against which each market participant will want to hedge. This hedging motive complicates the investors' portfolio...

This paper develops a model for valuing options on a currency which is maintained within a band. The starting point of our model is the well known Krugman model for exchange-rate behavior within a target zone. Results from model runs provide insight into evidence reported by other authors of...

We consider a world capital market in which the investor population is heterogenous. Investors of different countries differ in the prices of goods at which they consume the income from their investments. In such a setting, the international CAPM incorporates rewards for exchange rate risk, in...

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...

Trading pension claims would kill many birds with one stone: an accurate valuation of pension liabilities would provide a measurable yardstick for plan managers; beneficiaries would be able to diversify the idiosyncratic risk of their plan sponsors; systematic risk could be reallocated to comply...

We show that a central planner with two selves, or two quot;pseudo welfare functionsquot;, are sufficient to deliver a market equilibrium that prevails among any (finite) number of heterogeneous individual agents acting competitively in an incomplete financial market. Furthermore, we are able to...