Question

Suppose that the risk-free rates in the United States and in the United Kingdom are 4% and 6%, respectively. The spot exchange rate between the dollar and the pound is $1.60/BP. What should the futures price of the pound for a one-year contract be to prevent arbitrage opportunities, ignoring transactions costs

Answer 1

The futures price of the pound for a one-year contract be to prevent arbitrage opportunities would be $1.63/BP.

Step-by-step explanation:

In order to calculate the the futures price of the pound for a one-year contract be to prevent arbitrage opportunities we would have to make the following calculation:

futures price of the pound for a one-year contract=Spot rate*(1+United Kingdom risk free rate)/(1+United States risk free rate)

futures price of the pound for a one-year contract=$1.60/BP*(1+6%)/(1+4%)

futures price of the pound for a one-year contract=$1.63/BP

The futures price of the pound for a one-year contract be to prevent arbitrage opportunities would be $1.63/BP.