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Metallica Bearings, Inc., is a young start-up company. No dividends will be paid on the stock over the next 7 years because the firm needs to plow back its earnings to fuel growth. The company will pay a $9.57 per share dividend in 8 years and will increase the dividend by 0.06 per year thereafter. If the required return on this stock is 0.14, what is the current share price? Answer with 2 decimals (e.g. 45.45).

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Answer:

$47.81

Step-by-step explanation:

Value after year 8 = (D8*Growth rate) / (Required return-Growth rate)

Value after year 8 = ($9.57*1.06) / (0.14-0.06)

Value after year 8 = $10.1442 / 0.08

Value after year 8 = $126.8025

Current share price = Future dividend and value*Present value of discounting factor(rate%,time period)

Current share price = $9.57/(1.14)^8 + $126.8025/(1.14)^8

Current share price = $3.35485015 + $44.4517646

Current share price= $47.81

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