You are long $10$ gold futures, established at an initial price of $$1,500$ per ounce, where each contract represents $100$ troy ounces. Your initial margin to establish the position is $$12,000$ per contract and the maintenance margin is $$11,200$ per contract. Over the subsequent $4$ trading days, gold settles at $$1495,$ $$1490,$ $$1505$ and $$1515,$ respectively.

$1.$ Compute the balance in your margin account at the end of each of the four trading days. Show ALL work

$2.$ compute your total profit or loss at the end of the trading period. Show all margin calls. Show ALL work