Simco is planning to pay dividends on its common stock in the next four years as follows; $3.00 next year, $3.50 the following year, $0 in year 3, and $4.50 in year 4. After that, Simco has an expectation that their dividends will grow at 6.5% indefinitely. What should be the price of the stock today at a 10% discount rate?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Simco is planning to pay dividends on its common stock in the next four years as follows; $3.00 next year, $3.50 the following year, $0 in year 3, and $4.50 in year 4. After that, Simco has an expectation that their dividends will grow at 6.5% indefinitely. What should be the price of the stock today at a 10% discount rate? 

Expert Solution
Step 1

Share price is the sum of present value of all dividends paid discounted at certain discount rate

Share Price = [ D1/(1+r)1 ] + [ D2/(1+r)2] + [ D3/(1+r)3] + [ D4/(1+r)4]+ [ (D4 * g)/(1+r)4 (r -g)] 

where D1 = Dividend of first year = $ 3

D2= Dividend of 2nd year= $ 3.5

D3 = Dividend of 3rd year = $ 0

D4 = Dividend of 4th year = $ 4.5

r = discount rate = 10%

g = growth rate =6.5%

n = time period  = 4 years

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