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Q4.Nonconstant Growth.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

Q4.Nonconstant Growth.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 then pay a dividend of $15 per share 10 years from today and will increase the dividend by 5 percent per year thereafter. If the required return on this stock is 14 percent, what is the current share price?

Current Dividend

D0

?

Dividend for year 1-9

D1 ... D9

?

Dividend for year 10

D10

?

<- D0 * (1+g1)10

Dividend growth rate, after year 10

g

?

Discount rate

R

?

Required rate of return

Price at end of year 9

P9

?

<- D10 / (r-g)

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