Lifecycle Motorcycle Company is expected to pay a dividend in year 1 of $2, a dividend in year 2 of $3, and a dividend in year 3 of $4. After year 3, dividends are expected to grow at the rate of 3% per year. An appropriate required return for the stock is 12%. Using the two-stage DDM, the stock should be worth  $__________ today.  (Round your answer to two decimal places.)

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Lifecycle Motorcycle Company is expected to pay a dividend in year 1 of $2, a dividend in year 2 of $3, and a dividend in year 3 of $4. After year 3, dividends are expected to grow at the rate of 3% per year. An appropriate required return for the stock is 12%. Using the two-stage DDM, the stock should be worth  $__________ today.  (Round your answer to two decimal places.)

Expert Solution
Step 1

Dividend discount model (DDM)

According to DDM, the current value or price of a stock should be the present value of all future dividends associated with the stock as shown below.

Current value of a stock=PV of future dividendsHere,Present value=PV

 

Two stage Dividend discount model (DDM)

This model is applied when a stock pays different amount of dividends in two consecutive years and then, from year 3, dividend is paid out with a constant growth rate forever. 

With year 1 dividend (D1), year 2 dividend (D2), year 3 dividend (D3), constant growth rate (g) and required return on stock (r), the current stock value is calculated as shown below.

Current/present stock price=D11+r+D21+r2+D3r-g×11+r2Here,Present value of year 1 dividend=D11+rPresent value of year 2 dividend=D21+r2Present value of terminal year 3 dividend=D3r-g×11+r2

 

 

 

 

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