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Wheat Inc. has just paid its annual dividends of $2.10. The company is expected

ID: 2782977 • Letter: W

Question

Wheat Inc. has just paid its annual dividends of $2.10. The company is expected to pay the same $2.10 dividend for year 1 and 2. After that dividends is expected to grow at an annual rate of 18% for the next 2 years, and at 12% for the following 3 years, then, starting in year 8 dividend is expected to grow at a constant rate of 5% indefinitely. Required rate of return on Wheat Inc. stock is 14%.

What is the expected dividend in year 5?

What is the expected value for the stock in year 7?

What is the current value of one share of Wheat Inc. stocks today?

Explanation / Answer

Forecast the future dividends given the growth rate.

Expected Dividend in year 5 = 2.10 x (1 + 18%) x (1 + 18%) x (1 + 12%) = 3.27

Value in year 7, P7 = D8 / (r - g) = 4.31 / (14% - 5%) = $47.93

Value today can be calculated using NPV function on a calculator

CF1 = 2.1, CF2 = 2.1, ...CF6 = 3.67, CF7 = 4.11 + 47.93 = 52.04 and I/Y = 14%

=> Compute NPV = $31.03

Year Dividend 1 $     2.10 2 $     2.10 3 $     2.48 4 $     2.92 5 $     3.27 6 $     3.67 7 $     4.11 8 $     4.31
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