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son4ous [18]
3 years ago
8

A rapidly growing company just paid a dividend of $1.50 a share. For the next three years, the earnings growth rate is projected

to be 15% each year, and then 4% each year thereafter. If the required rate of return is 9%, what is the value of the stock
Business
1 answer:
Lelu [443]3 years ago
4 0

Answer:

$41.66

Explanation:

Let us assume the dividend in year n be denoted by Dn and the Stock price by Pn

Given that,

D0 = $1.50

Now

Growth rate for next 3 years

g1 = 15%

D1 = D0 × (1 + g1)

    = 1.50 × (1 + 0.15)

   = 1.725

D2 = D1 × (1 + g1)

= 1.725 × (1 + 0.15)

= 1.984

D3 = D2 × (1 + g1)

= 1.984 × (1 + 0.15)

= 2.282

Subsequent Growth rate = g2 = 4%

Now  

D4 = D3 × (1 + g2)

     = 2.282 × (1 + 0.04)

     = 2.373

So, According to Gordon's Growth Rate,

P3 = D4 ÷(r - g2)

P3 = 2.373 ÷ (0.09 - 0.04)

    = $47.46

Now  

Value of Stock now  is

= P0

= D1 ÷ (1 + r) + D2 ÷ (1 + r)^2 + D3 ÷ (1 + r)^3 + P3 ÷ (1 + r )^3

= 1.725 ÷ (1 + 0.09) + 1.984 ÷ (1 + 0.09)^2 + 2.282 ÷ (1 + 0.09)^3 + 47.46 ÷ (1 + 0.09)^3

= $41.66

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Korvikt [17]

Answer:

<u>For retaining of Old Machine Equipment</u>

Price of old equipment 3 yrs ago = $130,000

O & M cost per year = $35,000

Using the Cash flow approach

End of year   Cash flow 1   Old equipment

0                            $0            Initial Cash flow

1                         -$35,000     O & M cost per year

2                        -$35,000     O & M cost per year

3                        -$35,000     O & M cost per year

4                        -$35,000     O & M cost per year

5                        -$35,000     O & M cost per year

Hence, Annual worth = Initial cash flow + Annual cost

Annual worth = 0 - $35,000

Annual worth = -$35,000

<u>For buying of new equipment</u>

Cost of buying new crane = $150,000

Market value of old crane = $40,000

Time = 5 years

O & M cost per year = $8,000

Salvage value = $55,000

MARR = 20%

Using the Cash flow approach

End of year   Cash flow 1   New equipment

0                         $110,000    -$150,000 + $40,000

1                         -$8,000     O & M cost per year

2                        -$8,000     O & M cost per year

3                        -$8,000     O & M cost per year

4                        -$8,000     O & M cost per year

5                        $47,000     -$8,000 + $55,000

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Annual worth = -$110,000(A/P 20%,5) - $8,000 + $55,000(A/P 20%,5)

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Conclusion: We should retain the old machine as it is more favorable than purchase of new equipment

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Mamont248 [21]

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Answer:

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otez555 [7]

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