In: Finance
Question 1. Margin Account and Settlement
Suppose that you bought two one-year gold futures contracts when the one-year futures price of gold was US$1,340.30 per troy ounce. You then closed the position at the end of the sixth trading day. The initial margin requirement is US$5,940 per contract, and the maintenance margin requirement is US$5,400 per contract. One contract is for 100 troy ounces of gold. The daily prices on the intervening trading days are shown in the following table.
| 
 Day  | 
 Settlement Price  | 
| 
 0  | 
 1340.30  | 
| 
 1  | 
 1345.50  | 
| 
 2  | 
 1339.20  | 
| 
 3  | 
 1330.60  | 
| 
 4  | 
 1327.70  | 
| 
 5  | 
 1337.70  | 
| 
 6  | 
 1340.60  | 
Assume that you deposit the initial margin and do not withdraw the excess on any given day. Whenever a margin call occurs on Day t, you would make a deposit to bring the balance up to meet the initial margin requirement at the start of trading on Day t+1, i.e., the next day.
b. Fill the appropriate numbers in the blank cells in the following table.
| 
 Day  | 
 Settlement price per troy ounce  | 
 Mark-to-Market  | 
 Other Entries  | 
 Account Balance  | 
 Explanation  | 
 Margin Call? Y/N  | 
| 
 0  | 
 $1340.30  | 
|||||
| 
 1  | 
 $1345.50  | 
|||||
| 
 2  | 
 $1339.20  | 
|||||
| 
 3  | 
 $1330.60  | 
|||||
| 
 4  | 
 $1327.70  | 
|||||
| 
 5  | 
 $1337.70  | 
|||||
| 
 6  | 
 $1340.60  | 
| b. Fill the appropriate numbers in the blank cells in the following table. | ||||||
| Day | Settlement price per troy ounce | Mark-to-Market | Other Entries | Account Balance | Explanation | Margin Call? Y/N | 
| 0 | $ 1,340.30 | $ 2,68,060 | $ 11,880 | $ 11,880 | Initial Margin Deposit | N | 
| 1 | $ 1,345.50 | $ 2,69,100 | $ 12,920 | N | ||
| 2 | $ 1,339.20 | $ 2,67,840 | $ 11,660 | N | ||
| 3 | $ 1,330.60 | $ 2,66,120 | $ 9,940 | Y | ||
| 4 | $ 1,327.70 | $ 2,65,540 | $ 860 | $ 10,220 | Initial Margin Deposit | Y | 
| 5 | $ 1,337.70 | $ 2,67,540 | $ 580 | $ 12,800 | Initial Margin Deposit | N | 
| 6 | $ 1,340.60 | $ 2,68,120 | $ 13,380 | N | ||
| Amount withdrawn on closure of position = 13380. | ||||||
| Profit = 13380-(11880+860+580) = | $ 60 | |||||
| Alternatively: Profit = 268120-268060 = | $ 60 | |||||
| NOTE: | ||||||
| Maintenance margin requirement = $5400*2 = | $ 10,800 | |||||