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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

•   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?