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Anna35 [415]
3 years ago
14

Suppose the japanese yen exchange rate is ¥73.47 = $1, and the british pound exchange rate is £1 = $1.53.

Business
1 answer:
sineoko [7]3 years ago
5 0

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

¥73.47 = $1\\£1 = $1.53

So,

£1 = $1.53 $1 = \frac{£1}{1.53}  $1= £0.6536

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

¥73.47 = $1 ¥73.47 = £0.6536

¥73.47/0.6536 = £1 ¥112.4082=£1

Cross-rate in terms of Yen per Pound is 112.41

b. If cross-rate is ¥115=£1, 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.

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