Assume the spot rate for the British pound currently is £.6369 per $1. Also assume the one-year forward rate is £.6421 per $1. A risk-free asset in the U. S. is currently earning 3.2 percent. If interest rate parity holds, what rate can you earn on a one-year risk-free British security?

4.04%

Explanation:

Using the Interest rate parity formula according to this theory the forward exchange rate of  should be equal to the spot rate multiplied by the interest rate of the domestic country divided by the interest rate of the foreign country so from this formula

F=S*(1+i)/(1+r)

we derive

(1+r)=F/S*(1+i)

1+r =0.6421/0.6369*(1.032)

1+r =1.0404

 r   = 0.0404/4.04%

the investment was $14,174.196

explanation:

a lump sum means that the father of the example made one deposit and leave it be.

we need to know the value of a capital that generated at 4.05% per year during 28 years the sum of $48,613.24

now clearing the formula to solve for capital we got:

and we reach the answer investment = $14,174.20

the correct answer is b.)