Sirius Black buys a $$1\mathrm{.}4$ strike put on $31,250$ to hedge an AR of $31,250$ due in $1$ month, and also sells $62,500$ in $$1\mathrm{.}4$ strike calls to raise just enough money to buy the put option so there is no premium paid. Suppose that the exchange rate turns out to be $$1\mathrm{.}45$ at expiration. What is the dollar value of the AR hedged with this strategy?

$$42,187\mathrm{.}50$

$$44,531\mathrm{.}25$

$$40,625$

$$43,750$