$10.$ Al Rodriguez sells $500$ shares of Gold Mine Corp. short at $$80$ per share. The margin requirement is $50$ percent. The stock falls to $$62$ over a three$-$month time period, and he closes out his position.a$.$ How much is his initial margin? b$.$ What is his percentage gain or loss on his initial margin? c$.$ If he is in a $35$ percent tax bracket for short$-$term capital gains and a $15$ per$-$cent bracket for long$-$term capital gains, what is his tax obligation? d$.$If the stock went up to $$94$ instead of down to $$62,$ what would be his dollar loss? e$.$ Assuming this is his only transaction for the year, how large a tax deduction could he take against other income?