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Consider the Mark-to-Market Settlements for 1 gold futures contracts maturing in 5 months. Assume that the risk-free rate available to investors is 6% per annum

Consider the Mark-to-Market Settlements for 1 gold futures contracts maturing in 5 months. Assume that the risk-free rate available to investors is 6% per annum with quarterly compounding and that no arbitrage relationship between spot and futures prices (Futures-Spot parity) with continuous compounding holds in all months. Also assume that the initial margin is $18,000 per contract, while the maintenance margin is $6000 per contract

Month

Spot Price End of Month(S)

Futures Price, End of Month (F)

Change in Futures Price

Contract Size (ounces)

Buyer/Long Position

Seller/Short Position

Contract Initiated

0

1307.00

1339.84

--

100

(c)

(c)

Initial Margin

1

1309.00

1335.25

(b)

100

(c)

(c)

Monthly Adjustments

2

(a)

1336.76

(b)

100

(c)

(c)

3

1332.00

1345.29

(b)

100

(c)

(c)

4

1325.00

(a)

(b)

100

(c)

(c)

Delivery

5

(a)

1321.00

(b)

100

(c)

(c)

(c)

(c)

Account Bal. Month 5

For the questions below answers must contain at least three digits after the decimal point.

a. In the table above, show your answers in the cells marked by a

b. In the table above, show your answers in the cells marked by b

c. In the table above, show your answers in the cells marked by c

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