Suppose that the one-year interest rate is 5.0 percent in the United States; the spot exchange

rate is $1.20/€; and the one-year forward exchange rate is $1.16/€. What must the one-year

interest rate be in the euro zone to avoid arbitrage?

A) 5.0%

B) 6.09%

C) 8.62%

D) none of the options

Respuesta :

Answer:

The interest rate for the euro zone to avoid arbitrage has to be C) 8.62%

Explanation:

Hi, we need to solve for r(eur) the following equation in order to find an interest rate that will avoid arbitrage.

[tex]Forward=Spot(\frac{1+r(usd)}{1+r(eur)} )[/tex]

That is:

[tex]1.16 =1.20 (\frac{1+0.05} {1+r(eur)} )[/tex]

[tex](1+r(eur)) =\frac{1.20} {1.16} (1+0.05)[/tex]

[tex]r(eur)=\frac{1.20}{1.16}(1+0.05)-1[/tex]

[tex]r(eur)=0.0862[/tex]

So, the euro zone rate to avoid arbitrage is 8.62%, which is option C)

Best of luck.

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