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You are short 15 gasoline futures contracts, established at an initial settle price of $2.085 per gallon, where each contract

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Solution:

Number of Future Contracts 15
Per contract of 42000 gallons
Contract Price $ 2.085 per gallon
Day 1 price $ 2.071 per gallon
Day 2 price $ 2.099 per gallon
Day 3 price $ 2.118 per gallon
Day 4 price $ 2.146 per gallon
Initial Margin $ 7425 per contract
Maintainance Margin $ 6500 per contract

From the above data,

Calculation of Total Initial Margin required = $ 7425per contract * 15 contracts = $ 111375

Profit/Loss at Day 1 = ($ 2.071 per gallon - $ 2.085 per gallon) * 42000 gallons * 15 contracts = - $ 8820 (Loss)

Profit/Loss at Day 2 = ($ 2.099 per gallon - $ 2.071 per gallon) * 42000 gallons * 15 contracts = $ 17640 Profit

Profit/Loss at Day 3 = ($ 2.118 per gallon - $ 2.099 per gallon) * 42000 gallons * 15 contracts = $ 11970 Profit

Profit/Loss at Day 4 = ($ 2.146 per gallon - $ 2.118 per gallon) * 42000 gallons * 15 contracts = $ 17640 Profit

TOTAL PROFIT / (LOSS) = $ 38430 profit

Day

Opening balance

Margin A/c

Profit Loss Margin Call

Closing Balance

Margin A/c

Day 1 $ 111375 0 $ 8820 $ 8820 $111375
Day 2 $ 111375 $ 17640 0 0 $ 129015
Day 3 $ 129015 $ 11970 0 0 $ 140985
Day 4 $ 140985 $ 17640 0 0 $ 158625

Hence the final balance at the end of Day 4 in margin account is $ 158625

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