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Amount withdrawn on closure of position = 13380.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 |