A trader enters into a short forward contract on 100 million...

A trader enters into a short forward contract on 100 million yen. The forward exchange rate is $$\$ 0.0090$$ per yen. How much does the trader gain or lose if the exchange rate at the end of the contract is (a) $$\$ 0.0084$$ per yen and (b) $$\$ 0.0101$$ per yen?

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Key Concepts

Forward Contracts

A forward contract is an agreement to buy or sell an asset at a predetermined future date for a specified price. In the context of foreign exchange, it allows parties to lock in an exchange rate for a future transaction, thereby hedging against the risk of adverse currency movements.

Short Forward Position

A short forward position involves committing to sell an asset at the agreed forward price. For a trader shorting a currency forward, the goal is to profit if the future spot rate is lower than the forward rate, as the trader can sell at the higher contract rate and later buy at the lower market rate if needed.

Exchange Rates

Exchange rates indicate how much of one currency can be exchanged for another. In the given scenario, the rates quoted reflect the value of the Japanese yen in U.S. dollars, which is crucial for determining the outcome of the forward contract as market rates fluctuate.

Gain/Loss Calculation on Forwards

The gain or loss on a forward contract is determined by the difference between the agreed forward rate and the settlement (spot) rate at maturity. For a short forward position, a lower spot rate than the forward rate results in a gain, while a higher spot rate leads to a loss. The monetary impact is computed by multiplying this rate difference by the notional amount of the underlying asset.

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