The following information is available with respect to an investor Ram, trading in the future market: Ram has purchased 80 lots of index future @ 881, on day one out of which he sold 20 lots @ 878 and carried the remaini

CS Professional · Capital Commodity and Money Market · PYQS · December 2019
The following information is available with respect to an investor Ram, trading in the future market: Ram has purchased 80 lots of index future @ 881, on day one out of which he sold 20 lots @ 878 and carried the remaining 60 lots. Closing price of index future is 888 for day one. For day two, the closing price is 878 and he has not made any trade. On day three, he sold all the remaining 60 lots @ 908. The closing price of the day is 864. One lot = 125 units. Based on the above information, compute the total pay off from the above transaction and also cross verification with the daily Mark to Market (MTM) of all three days adjusted with intra-day trade.

Answer & Explanation:

Computation of Total Payoff and Cross Verification: One lot = 125 units Total Payoff from the transaction (Original Sauda Method): 1. Loss on 20 lots sold on Day One: Units = 20 lots × 125 units/lot = 2,500 units Loss = (Purchase Price - Sale Price) × Units = (881 - 878) × 2,500 = 3 × 2,500 = ₹ 7,500 (Loss) 2. Profit on 60 lots sold on Day Three: Units = 60 lots × 125 units/lot = 7,500 units Profit = (Sale Price - Purchase Price) × Units = (908 - 881) × 7,500 = 27 × 7,500 = ₹ 2,02,500 (Profit) Total Payoff = Profit on 60 lots - Loss on 20 lots Total Payoff = ₹ 2,02,500 - ₹ 7,500 = ₹ 1,95,000 (Profit) Cross Verification with Daily Mark to Market (MTM): Day One MTM: Intra-day trade (20 lots): (881 - 878) × 20 × 125 = ₹ 7,500 (Loss) Carry forward (60 lots): (888 - 881) × 60 × 125 = ₹ 52,500 (Profit) Net MTM Day One = ₹ 52,500 - ₹ 7,500 = ₹ 45,000 (Credit) Day Two MTM: No trade. Closing price = 878. MTM = (Previous Day Closing Price - Current Day Closing Price) × 60 × 125 MTM = (888 - 878) × 60 × 125 = 10 × 7,500 = ₹ 75,000 (Debit) Day Three MTM: Sold remaining 60 lots @ 908. Previous day closing price = 878. MTM = (Sale Price - Previous Day Closing Price) × 60 × 125 MTM = (908 - 878) × 60 × 125 = 30 × 7,500 = ₹ 2,25,000 (Credit) Total Payoff (Sum of Daily MTM): Total Payoff = MTM Day One + MTM Day Two + MTM Day Three Total Payoff = ₹ 45,000 (Credit) - ₹ 75,000 (Debit) + ₹ 2,25,000 (Credit) Total Payoff = ₹ 1,95,000 (Profit) Both methods yield the same total payoff, ₹ 1,95,000 Profit.

Topics: Derivatives

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