Question

In: Accounting

The spot rate between the U.K. and the U.S. is £.7554/$, while the one-year forward rate...

The spot rate between the U.K. and the U.S. is £.7554/$, while the one-year forward rate is £.7528/$. The risk-free rate in the U.K. is 4.35 percent and risk-free rate in the United States is 2.62 percent. How much in profit can you earn on $5,000 utilizing covered interest arbitrage?

Solutions

Expert Solution

Investment in United States:

If we invest $5,000 in US,

Value after one year = Amount Invested + Risk free return

= $5,000 + (2.62% of $5,000)

= $5,131

Investment in United Kingdom:

We have to convert $ into £

Value of £ by converting $5,000 at spot rate = $5,000 * 0.7554 i.e. £3,777

Now Invest £3,777 in UK at 4.32% risk free rate

Value after one year = Amount Invested + Risk free return

= £3,777 + (4.32% of £3,777)

= £3,940.1664

Now convert £ into $ at ne year forward rate

Money received in $ = £3,940.1664 / 0.7528 i.e. $5,234.01

Profit from Covered Interest Arbitrage = $5,234.01 - $5,131 i.e. $103.01


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