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Today's settlement price on a Chicago Mercantile Exchange (CME) yen futures contract is $0.8011/¥100. Your margin account currently has a balance of $2,000. The next three days' settlement prices are $0.8057/¥100, $0.7996/¥100, and $0.7985/¥100. (The contractual size of one CME yen contract is ¥12,500,000). If you have a long position in one futures contract, the changes in the margin account from daily marking-to-market, will result in the balance of the margin account after the third day to beGroup of answer choices$2,000.$1,675.$3,425$1,425.

Question

Today's settlement price on a Chicago Mercantile Exchange (CME) yen futures contract is 0.8011/¥100.Yourmarginaccountcurrentlyhasabalanceof0.8011/¥100. Your margin account currently has a balance of 2,000. The next three days' settlement prices are 0.8057/¥100,0.8057/¥100, 0.7996/¥100, and 0.7985/¥100.(ThecontractualsizeofoneCMEyencontractis¥12,500,000).Ifyouhavealongpositioninonefuturescontract,thechangesinthemarginaccountfromdailymarkingtomarket,willresultinthebalanceofthemarginaccountafterthethirddaytobeGroupofanswerchoices0.7985/¥100. (The contractual size of one CME yen contract is ¥12,500,000). If you have a long position in one futures contract, the changes in the margin account from daily marking-to-market, will result in the balance of the margin account after the third day to beGroup of answer choices2,000.1,675.1,675.3,425$1,425.

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Solution

To answer this question, we need to calculate the daily changes in the futures contract and then adjust the balance in the margin account accordingly.

  1. Day 1: The settlement price changes from 0.8011/¥100to0.8011/¥100 to 0.8057/¥100. This is an increase of 0.0046/¥100.Multiplythisbythecontractsize(¥12,500,000/100)togetthechangeinvalueofthecontract.Thisgivesus0.0046/¥100. Multiply this by the contract size (¥12,500,000/100) to get the change in value of the contract. This gives us 575. The long position means you benefit from the increase, so the margin account balance increases to 2,000+2,000 + 575 = $2,575.

  2. Day 2: The settlement price changes from 0.8057/¥100to0.8057/¥100 to 0.7996/¥100. This is a decrease of 0.0061/¥100.Multiplythisbythecontractsizetogetthechangeinvalueofthecontract.Thisgivesus0.0061/¥100. Multiply this by the contract size to get the change in value of the contract. This gives us 762.5. The long position means you lose from the decrease, so the margin account balance decreases to 2,5752,575 - 762.5 = $1,812.5.

  3. Day 3: The settlement price changes from 0.7996/¥100to0.7996/¥100 to 0.7985/¥100. This is a decrease of 0.0011/¥100.Multiplythisbythecontractsizetogetthechangeinvalueofthecontract.Thisgivesus0.0011/¥100. Multiply this by the contract size to get the change in value of the contract. This gives us 137.5. The long position means you lose from the decrease, so the margin account balance decreases to 1,812.51,812.5 - 137.5 = $1,675.

So, the balance of the margin account after the third day will be $1,675.

This problem has been solved

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