Assume the following information for bonds A and B. Both bonds have the same YTM and have semi-annual coupon payments. Bond B is currently selling at par.

Face Value Maturity Coupon Rate

Bond A 1000 30 yrs 8%

Bond B 1000 20 yrs 10%

a) What is the price for Bond B (2 pts)? What is the current yield for Bond B (2 pts)? Bond A is selling at a ________(discount /par/ premium) (2 pts).

b) Suddenly interest rates rise by 2%. The price of bond A will go________ (up/down) (2 pts).

c) The percentage change in the price of Bond B (in absolute value) will be _________ (smaller/bigger) than that of Bond A (in absolute value) (3 pts).

d) Assuming interest rates remain unchanged (after the initial 2% increase took place), what is the price of Bond B after 5 years (7 pts)?

Solution:

a) Price = 1000 since it sells at par. Current yield = Annual coupon payment / Price = 100 / 1000 = 10%. Bond A is selling at a discount.

b) down , down

c) smaller

d) 50/0.06*(1 – 1/1.06^30) + 1000/1.06^30 = $862.3517

Question 2 - Stock Valuation

XYZ Corp. sells toothpicks. The company currently has earnings per share of $8.25. The company has no growth and pays out all earnings as dividends. It has a new project which will require an investment of $1.60 per share today (at time zero). The project will increase the earnings by $0.40 per share indefinitely starting one year after the investment. Investors require a 10 percent return on XYZ stock. Assume the firm just paid the dividend of $8.25 yesterday.

a) What is the value per share of the company’s stock assuming the firm does not undertake the investment opportunity? (5 pts)

b) If the company does undertake the investment what is the value per share now? (10 pts)

c) What will the value per share be 3 years from now? (5 pts)

Solution:

a) P = Dividend / R = 8.25 /