Suppose it takes 1.3156 U.S. dollars today to purchase one British pound in the foreign exchange market, and currency forecasters predict that the U.S. dollar will depreciate by 8% against the pound over the next 30 days. How many dollars will a pound buy in 30 days? Enter your answer rounded to four decimal places. Do not enter $ or comma in the answer box. For example, if your answer is $12,300.45678 then enter as 12300.4568 in the answer box.
Solution :
As per the information given in the question
The spot rat of 1 British pound = 1.3156 U.S. dollars
The U.S. dollar is expected to depreciate by 8 % against the pound over the next 30 days.
This implies that more number of dollars will require to purchase a single pound.
Thus the forward rate of the pound in 30 days shall be equal to
= Spot rate * ( 1 + Rate of Depreciation )
= $ 1.3156 * ( 1 + 0.08 )
= $ 1.3156 * 1.08
= $ 1.420848
= $ 1.4208 ( when rounded off to four decimal places )
Thus the number of dollars a pound will buy in 30 days = $ 1.4208
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