problem 1:
Brandon Michael Chu of Henry Law & Yang Yi Capital Limited believes that earnings and dividends at Alua Amanova & Shuwen Wang Technologies (AST) will continue to grow at 12% per year for 20 years. After that growth will level off to 5% for the indefinite future. The dividend just paid was $4 per share and the required rate of return on this stock is 12%.
a. What is the value of AST stock?
b. Suppose AST is currently trading at $120 per share. Expected D1 = $4.80. After that dividends will grow at 12% per year for ? number of years, then after dividends will grow at 5% per year forever. Required rate of return is 12%. How many years of growth at 12% is the market predicting?
problem 2:
Wing Yin Tsui, CEO of Lian Huang & Wong Bin Dean Hwang Manufacturing Limited is considering a four year project. The project requires an initial investment of $10,000,000 to buy new equipment. The equipment will be depreciated straight line to zero over the project’s life. The company believes it can generate $5,000,000 in pretax revenues in year 1. Revenues will increase at 20% per year. Total pretax operating cost would be 40% of the pretax revenues. Net working capital will be 20% of the pretax revenue for the year. Net working capital will be fully recovered at the end of the project. Revenues and operating costs will occur at the end of the year and investment in net working capital will be made at the beginning of the year. The tax rate is 40% and the discount rate is 12%.
a. What is the NPV of the project?
b. Now compute the project’s NPV assuming the project is abandoned after one year. The equipment will be salvaged for $8,000,000. Any gain or loss due to selling the equipment for other than the book value will create taxable gain/loss.
problem 3:
Silvana Zhang of Sajjad Jafri & Geopeng Li Limited is considering purchasing a new widget making machine. She would like to know the maximum price she should pay for the new machine.
1. The new machine will replace the existing machine, which has a current market value of $1,000,000.
2. New machine will reduce before tax operating cost by $300,000 per year for 15 years.
3. The old machine is expected to last for another 10 years and will have a salvage value of $100,000 at the end of 10 years.
4. The new machine is expected to last for 15 years and will have a salvage value of $200,000. CCA rate is 20%, tax rate is 30%, and the required rate of return is 15%
problem 4:
Benjamin Tang currently has holdings in the following three companies:
E(R) σ β
Vivian Tam & Yuanyuan Wang Technologies (X) 14% 16% 2.0
Vivien Wang & Danny Dong Ltd. (Y) 12% 14% 1.6
Omar Salahuddin & Philip Viegas Inc. (Z) 10% 11% 1.2
Coefficient of Correlation ρxy =-0.4 ρxz = 0.6 ρyz = -0.7
a. What would be the expected return, standard deviation, and β for the following portfolios:
Portfolio A $20,000 in X and $30,000 in Y?
Portfolio B $35,000 in Y and $15,000 in Z?
Which one is the better portfolio and why?
b. Assuming normal distribution, determine the range within which approximately 95% of the portfolio A’s returns will fall?
problem 5:
Yang Su is considering the following information on two stocks:
Rate of Return
State of Economy Probability Catherine Lam Inc.(A) David So Ltd(B)
Recession 0.30 0.08 -0.20
Normal 0.50 0.40 0.15
Boom 0.20 0.20 0.42
The market risk premium is 8% and the risk free rate is 6%. Which stock has the most systematic risk? Which one has the most unsystematic risk? Which stock is riskier? describe.