Abstract
The basic model of this paper is that of a transactor who is to receive at a specified time t in the future a fixed quantity of domestic funds A d and a fixed quantity of foreign funds A f . It is further assumed that there exists a forward market in foreign exchange in which one unit of foreign currency can be bought and sold at a given and known forward rate r f , the domestic currency price of one unit of foreign currency. Let X be the net forward purchases of foreign exchange that the transactor undertakes at the market rate r f ; a negative value of X indicates net sales of forward exchange. It is assumed that at time t the foreign currency will be convertible for the transactor at a fixed but unknown spot exchange rate and that the transactor can assess or derive a probability distribution on this spot exchange rate f(r t ) for r t > 0. Finally, it is assumed that the transactor can express a utility function u on the domestic currency equivalent of his ending currency holdings. This paper considers the problem of determining the optimal level of forward exchange purchases X 0 .
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