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Metallica Bearings, Inc., is a young start-up company. No dividends will be paid

ID: 2826108 • Letter: M

Question

Metallica Bearings, Inc., is a young start-up company. No dividends will be paid on the stock over the next nine years because the firm needs to plow back its earnings to fuel growth. The company will pay a $10 per share dividend 10 years from today and will increase the dividend by 4 percent per year thereafter. If the required return on this stock is 12.5 percent, what is the current share price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Metallica Bearings, Inc., is a young start-up company. No dividends will be paid on the stock over the next nine years because the firm needs to plow back its earnings to fuel growth. The company will pay a $10 per share dividend 10 years from today and will increase the dividend by 4 percent per year thereafter. If the required return on this stock is 12.5 percent, what is the current share price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Explanation / Answer

Value after year 10=(D10*Growth rate)/(Required return-Growth rate)

=(10*1.04)/(0.125-0.04)=$122.3529412

Hence current share price=Future dividends*Present value of discounting factor(12.5%,time period)

=10/1.125^10+122.3529412/1.125^10

which is equal to

=$40.76(Approx).