Answer-18
Spot exchange rate €1.230/£
180-day forward rate €1.250/£
180 day euro interest rate 3.00% per year (1.5% for 180 days)
180 day pound interest rate 4.00% per year (2.0% for 180 days)
In this question, covered interest arbitrage can be done for making profits. Since, Pound is getting strong as per 180 days forward rate, so the investor should invest in pounds by converting €100,000,000 into pounds.
Euro repayable after 180 days (including interest)
= €100,000,000 + (€100,000,000 x 1.5%)
= €101,500,000
Conversion of €100,000,000 into £ using spot rate = €100,000,000/€1.230
= £81,300,813
This £81,300,813 will be invested at the interest rate of 2% for 180 days resulting which the amount to be received after 180 days would be:
= £81,300,813 + (£81,300,813 x 2%)
= £82,926,829
This amount of £82,926,829 would be converted into Euro using 180 days forward rate resulting which the amount to be received would be:
= £82,926,829 x €1.250
= €103,658,536
As per covered interest arbitrage, after 180 days the Euro receivable is €103,658,536 and the Euro payable is €101,500,000 (as calculated above).
Therefore the arbitrage profit would be €2,158,536.
show works 10 points 18. James Chang, a foreign exchange at J.P. Morgan Chase, can invest...
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