Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. A week ago a trader bought one December gold futures contract (size = 100 oun

ID: 2808100 • Letter: 1

Question

1. A week ago a trader bought one December gold futures contract (size = 100 ounces) at $1,200/oz. The gold futures contracts are traded on the New York Mercantile Exchange. The initial margin requirement is $8,000. Ignore margin calls or maintenance margin in the following calculations.

(1) Suppose that today the trader closed out the position at $1,240/oz. How much is the amount of profit/loss, and how much is the rate of return on the investment?

(2) Suppose that today the trader closed out the position at $1,150/oz. How much is the amount of profit/loss, and how much is the rate of return on the investment?

2. A trader enters into one December crude oil futures contract to sell 1,000 barrels at $70/barrel. The initial margin requirement is $10,000 and the maintenance margin is $5,000. What price change will lead to a margin call? Please explain.

Explanation / Answer

(1)

Initial Equity=8000

Broker loan=1200*100-8000=112000

Profit=1240*100-112000-8000=4000

Rate of return=4000/8000=50%

(2) Suppose that today the trader closed out the position at $1,150/oz. How much is the amount of profit/loss, and how much is the rate of return on the investment?

Initial Equity=8000

Broker loan=1200*100-8000=112000

Profit=1150*100-112000-8000=-5000

Rate of return=-5000/8000=-62.5%

2. A trader enters into one December crude oil futures contract to sell 1,000 barrels at $70/barrel. The initial margin requirement is $10,000 and the maintenance margin is $5,000. What price change will lead to a margin call? Please explain.

Let Price be P

10000-1000*(P-70)<=5000

=>P>=75

If price rises more than $5, margin call will be made