Assume that annual interest rates are 6 percent in the United States and 5 percent in Turkey. An FI can borrow (by issuing CDs) or lend (by purchasing CDs) at these rates. The spot rate is $0.6553/Turkish lira (TL). |
a. |
If the forward rate is $0.6735/TL, how could the bank arbitrage using a sum of $6 million? What is the spread earned? (Do not round intermediate calculations. Round your answer to 4 decimal places. (e.g., 32.1616)) |
Spread earned | % |
b. |
At what forward rate is this arbitrage eliminated? (Do not round intermediate calculations. Round your answer to 5 decimal places. (e.g., 32.16161)) |
Forward rate | /TL |
b) At the below price there will be no arbitrage possible,
= 0.6553*1.06/1.05 = $0.66154/TL
a) Since forward rate is higher than than no arbitrage price one must follow the below process:
Borrow in US = 6 million. Pay after 1 year = 6*1.06 = $6.36 million
Convert $ 6 million to TL = 9.1561 million TL. Receive at the end of year TL = 1.05*9.1561 = 9.6139 TL
Convert into US $ at the mentioned forward rate = $6.47497329 million
% return =(6.47497329 - 6.36)/6*100= 1.9162
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