ECON5007 The Economics of Financial Markets: Final Exam
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ECON5007
The Economics of Financial Markets:
Final Exam
Sample Questions
Question 1
• Suppose Sinan deposits $100 into the bank, and the interest rate of the deposit is 5% per annum.
• If the bank pays interest annually, the end-of-year value of the deposit is
_________ .
• If the bank pays interest semi-annually, then the end-of-year value of the deposit is_________.
• In general, if the bank pays interest n times a year, then the end-of-year value of the deposit is_________.
• What is the end-of-year value of the deposit if the 10% annual interest rate is paid continuously, when n → ∞?
5% n
lim $100× 1 + = $100×e5%
n → # n
• the continuous compounding will yield the end-of-year value________.
Question 2
- Suppose Woolworths has an average monthly expected return of 1.5% and a standard deviation of 8%. Coca-Cola has an average monthly expected return of 2% and a standard deviation of 10%. Their correlation coefficient is 0.4. If you have equal weights in each stock, what is the expected return and standard deviation of your portfolio?
Question 3
• The risk-free rate is 3% p.a., and the expected return on the market portfolio is 11%. Shares in company A have a beta of 1.2 and are currently priced to provide a return of 13%. Which of the following statements is correct?
• a) A is underpriced and lies below the security market line
• b) A is overpriced and lies above the security market line
• c) A is correctly priced and lies on the security market line
• d) A is underpriced and lies above the security market line
• e) A is overpriced and lies below the security market line
Question 4
• The fixed-income manager collects the following information and uses it, along with the international parity conditions, to estimate investment returns and future exchange rate movements.
Today’s One-Year Libor |
Currency Pair |
Spot Rate Today |
JPY 0. 10% |
JPY/USD |
105.40 |
USD 0. 10% |
USD/GBP |
1.2303 |
GBP 3.00% |
JPY/GBP |
129.67 |
• If covered interest rate parity holds, what is the all-in one-year investment return to a Japanese investor whose currency exposure to the GBP is fully hedged?
Question 5
• Principle: $100
• Company A: Fixed rate payer, pay 5% per annum with annual compounding.
• Company B: Floating rate payer.
• Floating rate in 6 years:
Year |
LIBOR Rate(%) |
2011 |
4.2 |
2012 |
4.8 |
2013 |
5.3 |
2014 |
5.5 |
2015 |
5.6 |
2016 |
5.9 |
• Which firm had benefited from the interest rate swap?
Year |
LIBOR Rate(%) |
Floating Cash Flow Received($) |
Fixed Cash Flow Paid($) |
Net Cash Flow |
2011 |
4.2 |
|
|
|
2012 |
4.8 |
4.2 |
5 |
-0.8 |
2013 |
5.3 |
4.8 |
5 |
-0.2 |
2014 |
5.5 |
5.3 |
5 |
0.3 |
2015 |
5.6 |
5.5 |
5 |
0.5 |
2016 |
5.9 |
5.6 |
5 |
0.6 |
2017 |
|
5.9 |
5 |
0.9 |
|
|
|
|
1.3 |
Question 6
- A 10-year bond with an annual coupon rate of 8% and a face value of $1,000. It is selling at a yield to maturity of 9%.
- What would be the price that this bond is trading at?
- What is the Macaulay duration (in years) of this bond?
- What is the modified duration of this bond?
- Suppose that the yield to maturity is now 7%. How much would Mac.D of this bond increase by? How much would the modified duration of this bond increase by?
2022-11-23