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Derivatives 200079 Midsemester Exam

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Derivatives 200079 Midsemester Exam
UNIVERSITY OF WESTERN SYDNEY

School of Economics and Finance

200079 Derivatives

INTERIM TEST (KEY)
PARRAMATTA

Spring Session 2012

TIME ALLOWED: 1 hour

FORMAT: 20 multiple-choice questions

WEIGHTING OF EXAMINATION: 30%
SUBJECT CO-ORDINATOR: Dr. I. Nalson

SCIENTIFIC (NON-PROGRAMMABLE) CALCULATORS AND FOREIGN LANGUAGE

DICTIONARIES ARE PERMITTED

NAME: ____________________________________

STUDENT NUMBER:__________________________

TUTORIAL TIME ____________________________

Instructions to candidates:

THIS IS A CLOSED BOOK EXAMINATION

MULTIPLE-CHOICE QUESTIONS

NB: Indicate the answer you think is correct on the computerised sheet

1. The price of a currency forward contract is less than the current spot price (the foreign currency is at a discount). If the contract price is theoretically correct

A: rf ( rd
B : rf = rd
C: rf ( rd*
D: We cannot tell on the available information

NB: rf = foreign interest rate; rd = domestic interest rate

The foreign currency is selling at a discount; therefore the foreign interest rate must be higher

2. The spot price of gold is $ 890 per ounce. The interest rate (with annual compounding) is 12% per annum. The gold lending rate (gold fee) is 2% per annum payable in arrears at maturity of the forward contract. What is the theoretical one-year forward price of gold to two decimal places?

A: $ 960.68
B: $ 991.68
C: $ 977.25*
D: None of the above

$890(1 + 0.12)/1.02 = $977.25

3. If the forward price of gold in the previous question is $ 970.68 (other values unchanged), calculate the arbitrage profit per ounce of gold that can be achieved.

A: $6.57*
B: $8.56
C: $7
D: None of the above

Borrow and sell gold at $890
Invest proceeds (paying the gold fee) earning: $890(1 + 0.12)/1.02 = $977.25, having bought gold forward at $970.68. Profit = $977.25 - $970.68 = $6.57 per ounce.

4. An investor receives

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