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The Nikko Company\'s lastdividend was $1.50. The dividend growth rate is expecte

ID: 2770549 • Letter: T

Question

The Nikko Company's lastdividend was $1.50. The dividend growth rate is expected to beconstant at 15% for 3 years, after which dividends are expected togrow at a rate of 6% forever. If Nikko's required return(rs) is 11%, what is the company's current stockprice? The Nikko Company's lastdividend was $1.50. The dividend growth rate is expected to beconstant at 15% for 3 years, after which dividends are expected togrow at a rate of 6% forever. If Nikko's required return(rs) is 11%, what is the company's current stockprice? $36.69 $37.82 $38.99 $40.20 $41.40 The Nikko Company's lastdividend was $1.50. The dividend growth rate is expected to beconstant at 15% for 3 years, after which dividends are expected togrow at a rate of 6% forever. If Nikko's required return(rs) is 11%, what is the company's current stockprice? Question 22 answers $36.69 $37.82 $38.99 $40.20 $41.40

Explanation / Answer

Nikko Company’s last dividend (D0) = $1.50

Nikko’s required return (R) = 11%

Dividend growth rate is expected to be constant at = 15% for 3years

Calculating Dividend for 3 years:

Dividend payment in 1st year = $1.50 *(1.15)          =          1.725

Dividend payment in 2nd year = $1.725 *1.15          =         $1.98375

Dividend payment in 3rd year = $1.98 *1.15           =         $2.2813125

Dividend payment in 4th year = $2.2813125*1.06  =         $2.418191

                                   

After 3 years the dividends are expected to grow at arate of 6% forever:

                        D4= D3 * (1+g)

                        D4= $2.2813125 * (1.06)

                        D4= $2.418191

                        P3 =D4 / (R-g)

                       P3 = $2.418191 / (0.11-0.06)

                       P3 = $ 48.36

Calculating Current Stock Price of the Company(P0):

P0 = [D1/(1+R) +D2/(1+R)2 + D3/(1+R)3+ P3/(1+R)3]

     = [$1.725/(1.11) +$1.98375/(1.11)2 + $2.2813125/(1.11)3 +$48.36/(1.11)3]

     = [$1.5540+ $1.61 + $1.6680 +$35.36]

     = $40.20

Current Stock Price (P0) =$40.20

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