Question: Cross-Rates and Arbitrage. Suppose the Japanese yen exchange rate is ¥121 = $1, and the British pound exchange rate is £1 = $1.53.
a. What is the cross-rate in terms of yen per pound?
b. Suppose the cross-rate is ¥189 = £1. Is there an arbitrage opportunity here? If there is, explain how to take advantage of the mispricing.