Consider the following information for the next $4$ questions. The Galleon is the home currency

at Hogwarts.

The spot dollar cost of $1$ Galleon $($GAL$/$USD$)$ $$2\mathrm{.}7500$

The risk free interest rate in the U$.$S $4\%$

The risk free rate at Hogwarts $,9\%$

The spot dollar cost of one Ducat $($DUC$/$USD$)$ is $$$0\mathrm{.}6000$

If the interest rate parity theorem holds, then what should be the GAL$/$USD $2$ year forward

rate?

a$.$ $$2\mathrm{.}3146$

b$.$ $$2\mathrm{.}4072$

c$.$ $$2\mathrm{.}5035$

d$.$ $$2\mathrm{.}6036$

e$.$ $$2\mathrm{.}7078$