Answer: Cross-rate can be found by using the given formula ,

So,

Substituting this into the exchange rate for Yen and dollars, we get


Cross-rate in terms of Yen per Pound is 112.41
b. If cross-rate is
, this means that Yen is quoted high relative to pound. So, the arbitrage profit per dollar will be,
Suppose we take a a loan for $1 and buy £0.6536. Then we use the pounds to purchase
yen at the cross-rate, so we have
£0.6536 (¥115/£1) = ¥75.164
Now, we replay the loan in dollars by exchanging Yen back to dollars. The cost to repay will be:
¥75.164($1/¥73.47) = $1.02305
Your arbitrage profit is $0.02305 per $1 used.