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”

International Financial Management
14th Edition
ISBN:9780357130698
Author:Madura
Publisher:Madura
Chapter5: Currency Derivatives
Section: Chapter Questions
Problem 3BIC
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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 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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Could you please verify your answer in the 5th month you have two different answers, 10.59 and 10.64, which one is correct? Explain

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could you please provide the solution for b and c without using excel?

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