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The margin requirement on the S&P 500 futures contract is 16%, and the stock ind

ID: 2724812 • Letter: T

Question

The margin requirement on the S&P 500 futures contract is 16%, and the stock index is currently 1,400. Each contract has a multiplier of $250.

What will be the investor's percentage return based on the amount put up as margin? c-2.)

a.) How much must you deposit with your broker to trade the contract? B.) If the futures price falls by 2% to 1,372, what will happen to the margin account of an investor who holds one contract? c-1.)

What will be the investor's percentage return based on the amount put up as margin? c-2.)


What would be the current cash balance in the margin account?

Explanation / Answer

Part a)

Dollar value of index = multiplier x stock index

                                         = 250 x 1400

                                         = 350,000

Amount to deposit = dollar value of index x margin requirement

                                     = 350,000 x 16%

                                     = 56,000

Part b)

Decrease in futures price = 1400 – 1372

                                                = 28

Decline in margin account = 28 x250

                                                     = 7,000

Balance in margin account = 56000 -7000

                                                     = 49,000

Part c)

Percentage return = Ending balance / Beginning balance -1

                                    = 49000 / 56000 -1

                                    = -12.50%

c-2)

Balance in margin account = 56000 -7000

                                                     = 49,000