You are long $5$ gold futures contracts, established at an initial settle price of $1,400$ per troy ounce, where each contract is $100$ troy ounces. Your initial margin to establish the position is $$12,000$ per contract and the maintenance margin is $$11,200$ per contract. Over the subsequent four trading days, gold settles at the following prices, $$1,292,$ $$1,290,$$$1,100$ and $$1,315$

a$.$ Compute the balance in your margin account at the end of each of the four trading days. $4$ pts$.$

i$.$ $$1,292$ :

ii$.$ $$1,290$ :

iii. $$1,100$ :

iv$.$ $$1,315$ :

b$.$ Compute your total profit or loss at the end of the four$-$day trading period$\mathrm{.}2$pts