$($Problem $2$ at EOC$)$ While you were visiting London, you purchased a Jaguar for $35,000,$ payable in three months. You have enough cash at your bank in New York City, which pays $0\mathrm{.}35\%$ interest per month, compounding monthly, to pay for the car. Currently, the spot exchange rate is $$\frac{1\mathrm{.}45}{}$ and the three$-$month forward exchange rate is $$\frac{1\mathrm{.}40}{}.$ In London, the money market interest rate is $2\mathrm{.}0\%$ for a three$-$month investment. There are two alternative ways of paying for your Jaguar.

$($a$)$ Keep the funds at your bank in the U$.$S$.$ and buy $35,000$ forward, the dollar cost of this option today is $ $($Round to zero decimal, e$.$g$.,20,000$

$($b$)$ Buy a certain pound amount spot today and invest the amount in the U$.$K$.$ for three months so that the maturity value becomes equal to $35,000,$ the dollar cost of this option today is $ $($e$.$g$.,24,000,$ i$.$e$.,$ round to zero decimal$)$