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Vinvika [58]
3 years ago
6

Gruber Corp. pays a $9 dividend on its stock. The company will maintain this dividend for the next 3 years. In year 4, the divid

end will increase to $10 and then grow at a constant 5 percent rate annually into perpetuity. If the required return on this stock is 10 percent, what is the current share price?
Business
1 answer:
stealth61 [152]3 years ago
3 0

Answer:

Share price Today = $172.574

Explanation:

Using dividend growth model we can compute price of share after 3 years,

As follows:

P_3 = \frac{D_4}{K_e - g}

Where P3 = Price at end of year 3

D4 = Dividend at end of year 4 = $10

Ke = Cost of return = 10%

g = growth rate = 5%

P3 = \frac{10}{0.10-0.05} = $200

Now, we have

Year    Dividend or price        Present value factor          Present Value

1                     $9                                0.909                                $8.181

2                    $9                                0.826                                $7.434

3                    $9                                0.751                                  $6.759  

3                    $200                           0.751                                  $150.20

Net Present value of share today = $172.574

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