A company enters into a short futures contract to sell 25,000 units of a commodity for 950 cents per unit. The initial margin is $4,500 and the maintenance margin is $3,750. Calculate the futures price per unit that will allow $2,000 to be withdrawn from the margin account.

$958

Explanation:

The amount that is excess in the initial margin account can be withdrawn. So we calculate the price increase that will result in a $2000 increase in initial margin.

The present price per unit of the commodity is 950 cents for 25,000 units

A unit increase of the price (which is in cents) will be 1/100= 0.01

Therefore an increase in price of 0.01 will lead to gain of 0.01 * 25,000= $250

Let's get price increase that will result in $2,000 gain

$250 = 1 unit price increase

$2,000 = x

x= (2000 * 1) ÷ 250= 8 units increase

Therefore the price at which $2,000 can be withdrawn is 950 + 8= 958 cents

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