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Stock A pays a dividend of $3 per share next year. The constant growth rate of t

ID: 2800841 • Letter: S

Question

Stock A pays a dividend of $3 per share next year. The constant growth rate of the dividend is 5% every year. The discount rate is 10%.

1.If you hold the stock for one year, what is the price for stock A you have to pay now (P0) ?

A)        $60

      B)        $63

      C)        $30

      D)        $ 55

      E)        None of the above

2.If you hold the stock for two years, what is the price for stock A you have to pay now (P0)?

A)        $61

      B)        $62

      C)        $63

      D)        $55

      E)        None of the above

3.If you hold the stock for three years, what would be the price for stock A three years from now (P3)?

A)        $60

      B)        $63

      C)        $69

      D)        $ 55

      E)        None of the above

4.If you hold the stock for two years, what would be the price for stock A two years from now (P2)?

A)        $60

      B)        $63

      C)        $66

      D)        $55

      E)        None of the above

Explanation / Answer

Answer 1.

Next Year Dividend, D1 = $3.00
Growth rate, g = 5%
Discount Rate, r = 10%

D2 = D1 * (1+g)
D2 = $3.00 * 1.05
D2 = $3.15

P1 = D2 / (r - g)
P1 = $3.15 / (0.10 - 0.05)
P1 = $63.00

P0 = $3.00/1.10 + $63.00/1.10
P0 = $60.00

Answer 2.

D1 = $3.00
D2 = $3.15

D3 = $3.15 * 1.05
D3 = $3.3075

P2 = D3 / (r - g)
P2 = $3.3075 / (0.10 - 0.05)
P2 = $66.15

P0 = $3.00/1.10 + $3.15/1.10^2 + $66.15^1.10^2
P0 = $60.00

Answer 3.

D1 = $3.00
D2 = $3.15
D3 = $3.3075

D4 = $3.3075 * 1.05
D4 = $3.4729

P3 = D4 / (r - g)
P3 = $3.4728 / (0.10 - 0.05)
P3 = $69

Answer 4.

D1 = $3.00
D2 = $3.15

D3 = $3.15 * 1.05
D3 = $3.3075

P2 = D3 / (r - g)
P2 = $3.3075 / (0.10 - 0.05)
P2 = $66

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