2.1) McIver’s Meals, Inc. currently pays a R2 annual dividend. Investors believe that dividends will grow at 12% for the next year, and will have a constant growth rate of 7% after year 2. Assume the required return is 10%. What is the current market price of the stock? (6)
2.2) A firm that manufactures ventilators is contemplating the replacement of its old printing
machine with a new model costing R800,000. The old machine, which originally cost
R300,000, has 3 years of expected life remaining and a current book value of R290,000
versus a current market value of R340,000. Target's corporate tax rate is 30 percent. If
the firm sells the old machine at market value, what is the initial after-tax outlay for the
new machine?
2.1) McIver’s Meals, Inc. currently pays a R2 annual dividend. Investors believe that dividends will grow at 12% for the next year, and will have a constant growth rate of 7% after year 2. Assume the required return is 10%. What is the current market price of the stock? (6)
2.2) A firm that manufactures ventilators is contemplating the replacement of its old printing
machine with a new model costing R800,000. The old machine, which originally cost
R300,000, has 3 years of expected life remaining and a current book value of R290,000
versus a current market value of R340,000. Target's corporate tax rate is 30 percent. If
the firm sells the old machine at market value, what is the initial after-tax outlay for the
new machine?
Answer : 2.1) Calculation of Current price :
Current Market Price = Present Value of Dividends and Stock Price
Below is the table showing calculation Current Market Price
Year | Dividend /Price | PVF @10% | Present Value of Dividend |
0 | 2 | 1 | |
1 | 2.24 | 0.909090909 | 2.036363636 |
1(Price) | 79.89333333 (Working Note) | 0.909090909 | 72.63030303 |
Total | 74.66666667 |
Working Note :
Price in Year 1 = Dividend in year 2 / (Required Return - Growth rate)
= [2.24 * (1.07)] / (0.10 - 0.07)
= 2.3968 / 0.03
= 79.893333
Current Price is 74.67.
Answer : 2.2) Calculation of Initial After-tax outlay for the machine :
Initial After-Tax Outlay = Cost of New Equipment - After tax salvage Value of old machine
= 800,000 - 325,000
= 475,000
Cost of New Equipment = 800,000
After tax salvage Value of Old Machine = Salvage Value - Tax of Gain on sale
= 340,000 - 15000(Working Note)
= 325,000
Working Note
Gain on Sale = Market Value - Book Value
= 340,000 - 290,000
= 50000
Tax on gain on sale = 50000 * 30%
= 15000
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