Mitts Cosmetics Co.’s stock price is $58.88 and it recently paid a $2 dividend. This dividend is expected to grow by 25% for the next 3years and then grow forever at a constant rate, g

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Mitts Cosmetics Co.’s stock price is $58.88 and it recently paid a $2 dividend. This dividend is expected to grow by 25% for the next 3years and then grow forever at a constant rate, g

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The value of any asset is the present value of all future cash flows expected to be generated from the asset.  Hence, if we can find the present value of the dividends during the period preceding long-run constant growth and subtract that total from the current stock price, the remaining value would be the present value of the cash flows to be received during the period of long-run constant growth.

 

D1 = $2.00 ´ (1.25)1 = $2.50                             PV(D1) = $2.50/(1.12)1              = $2.2321

D2 = $2.00 ´ (1.25)2 = $3.125                           PV(D2) = $3.125/(1.12)2            = $2.4913

D3 = $2.00 ´ (1.25)3 = $3.90625                       PV(D3) = $3.90625/(1.12)3        = $2.7804

 

S PV(D1 to D3)= $7.5038

 

Therefore, the PV of the remaining dividends is:  $58.8800 – $7.5038 = $51.3762.  Compounding this value forward to Year 3, we find that the value of all dividends received during constant growth is $72.18.  [$51.3762(1.12)3 = $72.1799 » $72.18.]  Applying the constant growth formula, we can solve for the constant growth rate:

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