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13. John has entered into 25 long futures contracts on a certain stock index. Each contract is for 80 shares of the index. Th
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Answer #1

Solution-

As the price of stock is S given the 25 futures contract and 80 shares per contract, the value of whole contract must be

= 25*80*S

= 2000*S

Initial Margin must be-

= 20% of 2000*S

= 400*S

After 1 month, Stock price is 158 and margin call is 22559.05

hence, present value of initial margin balance must be-

= 158*80*25*e^(-9%*1/12)*0.2+22559.05

= 85286.84

To find S, we must equate this value with 400*S

S = 213.217

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