Problem 1 (20 Points)
A bond is maturing in 7 years and paying annual coupons of 5%
If the annual required rate of return is 4%, compute:
1. The PV of the bonds;
2. The duration of the bond;
3. The modified duration (volatility);
4. Interpret your result in question 3.
Problem 2 (20 Points)
You have the following bond maturing in 4 years:
Face Value = 1.000$;
Semiannual dividends = 35$;
Annual Interest rate= 5%
1. Compute the PV of the cash flows?
2. What will happen to the bond price if the interest rate decreases to 6%?
3. What will be the price if the annual interest is 4%?
Problem 3 (30 Points)
Valuation of companies can be done by forecasting a series of cash flows and then estimating a horizon value.
Your firm projects net cash flow in years 1 through 5 as follows:
100 Million $
120 Million $
135 Million $
140 Million $
147 Million $
Assume that the company is expecting a growth rate of 6% starting year 5 and a discount rate of 12%; compute the PV of the company?
Show the details of all your calculations.
Problem 4 (30 Points)
Compute the pay back, discounted pay back, NPV and IRR of the following projects;
Assume a discount rate of 10%
Use your own words to answer the exam questions in order to demonstrate your understanding of the course material.
A retiree strongly believe that investing in a non-dividend paying growth firm will eventually cause him to lose all his shares.
Explain why and how this happens?
Managers are reluctant to make dividend changes. Why ?
High dividend policy is more difficult to manage for a weak firm than a strong firm. Explain in details why?
The company has the following simplified Balance Sheet
Asset value XXXXXXXXXX XXXXXXXXXXDebt XXXXXXXXXX
Total XXXXXXXXXX1250 XXXXXXXXXX1250
The cost of debt is 6% and the cost of equity is 12%
Compute the company’s WACC ?
Rio is a company specialized in producing healthcare products.
Its free cash flows in millions are expected to be as follow:
Cash flows will settle down starting year 6 and will record a growth of 3% per year.
Assume a WACC of 9%.
1. Compute the horizon value at year 6 ?
2. Compute the present value of the company?
2. If the market value of debt is $36 million, compute the total value of equity?