The fair value of the forward contract for Zamfir Company on December 31, 20x1, is a gain of $7,800, calculated by the difference in forward rates between November 1 and December 31, adjusted for the company's incremental borrowing rate.
To calculate the fair value of the forward contract for Zamfir Company on December 31, 20x1, we need to compare the forward rate Zamfir locked in on November 1, 20x1, with the forward rate available on December 31, 20x1, and then adjust this difference for the time value of money using the company's incremental borrowing rate.
Zamfir entered into the forward contract with a rate of $0.348 on November 1, 20x1. On December 31, 20x1, the forward rate for a contract expiring on February 1, 20x2, is $0.352. This indicates a change in the value of the ruble against the dollar.
The difference in forward rates is $0.352 - $0.348 = $0.004 per ruble. For 2,000,000 rubles, this difference amounts to a total of $0.004 * 2,000,000 = $8,000. However, since we are considering the value on December 31, for a payment that is to be made on February 1, we need to discount this amount to present value using the given discount rate of 0.975 for three months.
The present value of the $8,000 difference is $8,000 * 0.975 = $7,800. Therefore, the fair value of the forward contract on December 31, 20x1, is a gain of $7,800.