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Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World

Review of Financial Studies 1992 5(2), 153-180
[Two homogeneous stocks of physical capital are located in two different countries, separated by an "ocean". They are consumed by local residents, invested in a random production process yielding real returns, or transferred abroad. Under proportional transfer costs, trade, consumption, and capital imbalances are shown to be persistent. The heteroskedastic process for the relative price of capital in the two countries has a nonlinear, mean-reverting drift. Nevertheless, the conditional probability of the price moving from the parity value of unity is greater than the probability of it moving toward parity. The real interest-rate differential incorporates a simple risk premium.]

Two-Person Dynamic Equilibrium in the Capital Market

Review of Financial Studies 1989 2(2), 157-188
[When several investors with different risk aversions trade competitively in a capital market, the allocation of wealth fluctuates randomly among them and acts as a state variable against which each market participant will want to hedge. This hedging motive complicates the investors' portfolio choice and the equilibrium in the capital market. This article features two investors, with the same degree of impatience, one of them being logarithmic and the other having an isoelastic utility function. They face one risky constant-return-to-scale stationary production opportunity and they can borrow and lend to and from each other. The behaviors of the allocation of wealth and of the aggregate capital stock are characterized, along with the behavior of the rate of interest, the security market line, and the portfolio holdings.]

Global Diversification, Growth, and Welfare with Imperfectly Integrated Markets for Goods

Review of Financial Studies 2001 14(1), 277-305
In this article we examine the effect of the imperfect mobility of goods on international risk sharing and, through that, on the investment in risky projects, welfare, and growth. Our main result is that the welfare gain from integration of financial markets is not greatly reduced by the presence of goods market imperfections, modeled as a cost of transferring goods from one country to the other. We also find that the gain is nonmonotonic with respect to investors' risk aversion and the aggregate volatility of output growth. The policy implication to be drawn is that financial market integration is a worthwhile goal to pursue even when full goods mobility has not been achieved

The World Price of Foreign Exchange Risk.

Journal of Finance 1995 50(2), 445-79
Departures from purchasing power parity imply that different countries have different prices for goods when a common numeraire is used. Stochastic changes in exchange rates are associated with changes in these prices and constitute additional sources of risk in asset pricing models. This article investigates whether exchange rate risks are priced in international asset markets using a conditional approach that allows for time variation in the rewards for exchange rate risk. The results for equities and currencies of the world's four largest equity markets support the existence of foreign exchange risk premia.

An Exact Solution to a Dynamic Portfolio Choice Problem Under Transactions Costs.

Journal of Finance 1991 46(2), 577-95
The presence of any friction in financial markets qualitatively changes the nature of the optimization problem faced by an investor. It requires one to either act or do nothing, an issue which, of course, does not arise in frictionless situations. The investor considered here accumulates wealth without consuming until some terminal point in time when he consumes all. His objective is to maximize the expected utility derived from that terminal consumption. We postpone the terminal point far into the future to obtain a stationary portfolio rule. The portfolio policy is in the form of two control barriers between which portfolio proportions are allowed to fluctuate. We show how to calculate them.

Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World

Review of Financial Studies 1992 5(2), 153-180
Two homogeneous stocks of physical capital are located in two different countries, separated by an "ocean." They are consumed by local residents, invested in a random production process yielding real returns, or transferred abroad. Under proportional transfer costs, trade, consumption, and capital imbalances are shown to be persistent. The heteroskedastic process for the relative price of capital in the two countries has a nonlinear, mean-reverting drift. Nevertheless, the conditional probability of the price moving from the parity value of unity is greater than the probability of it moving toward parity. The real interest-rate differential incorporates a simple risk premium. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.

Two-Person Dynamic Equilibrium in the Capital Market

Review of Financial Studies 1989 2(2), 157-188
Wben several investors with different risk aversions trade competitively in a capital market, the allocation of wealth fluctuates randomly among them and acts as a state variable against which each market participant will want to hedge. This hedging motive complicates the investors ' portfolio choice and the equilibrium in the capital market. This article features two investors, with the same degree of impatience, one of them being logarithmic and the other having an isoelastic utility function. They face one risky constant-return-to-scale stationary production opportunity and they can borrow and lend to and from each other. The behaviors of the allocation of wealth and of the aggregate capital stock are characterized, along with the behavior of the rate of interest, the security market line, and the portfolio boldings. The two-investor equilibrium problem is as basic to financial economics as is the two-body problem to mechanics. Yet, to my knowledge, no complete description of the dynamic interaction between two investors