Final answer:
The company's payoff from entering into two opposing forward contracts to buy and sell the same amount of Japanese yen on the same date is a forward-forward hedge that mitigates foreign exchange risk, effectively locking in an exchange rate and protecting against currency fluctuations.
Step-by-step explanation:
In the scenario described, a company is engaging in a forward contract strategy where it enters into two opposing forward contracts for the same amount and date involving Japanese yen. Specifically, the company agrees to both buy and sell 10 million Japanese yen on January 1, 2018. This strategy is known as a forward-forward hedge and is used to mitigate foreign exchange risk. The payoff from this strategy will depend on the exchange rate on the settlement date.
If the exchange rates on January 1, 2018, are such that the yen has appreciated against the company's domestic currency (assuming for example, USD), the company will make a gain on its purchase contract and a loss on its sale contract. These gains and losses will offset each other, effectively locking in the exchange rate that was in effect when the contracts were entered. This strategy removes the uncertainty around future exchange rate fluctuations, which can have a significant impact on the cost of transactions, especially in light of historical yen/dollar movements, as indicated by the various figures and statistics given, illustrating the volatility and potential threat to businesses from sharp shifts in the exchange rate.