Question

Oriole Corp. is a fast-growing company whose management expects it to grow at a rate of 24 percent over the next two years and then to slow to a growth rate of 18 percent for the following three years. If the last dividend paid by the company was $2.15.
1.What is the dividend for the 1st year?
2.What is the dividend for the 2nd year?
3.What is the dividend for the 3rd year?
4.What is the dividend for the 4th year?
5.What is the dividend for the 5th year?
6.Compute the present value of these dividends if the required rate of return is 14 percent.

Answer 1

Answer:

1.What is the dividend for the 1st year?

$2.67

2.What is the dividend for the 2nd year?

$3.31

3.What is the dividend for the 3rd year?

$3.90

4.What is the dividend for the 4th year?

$4.60

5.What is the dividend for the 5th year?

$5.43

6.Compute the present value of these dividends if the required rate of return is 14 percent.

1. $2.34

2. $2.54

3. $2.63

4. $2.73

5. $2.82

Explanation:

Last Dividend paid = $2.15

Growth rate:

First two years = 24%

Following three years = 18%

FV of Dividend = PV ( 1 + g )^n

1.

Dividend for the 1st year = $2.15 x ( 1 + 24% )^1 = $2.15 x ( 1 + 0.24 )^1 = $2.15 x ( 1.24 )^1 = $2.67

2.

Dividend for the 2nd year = $2.15 x ( 1 + 24% )^2 = $2.15 x ( 1 + 0.24 )^2 = $2.15 x ( 1.24 )^2 = $3.31

3.

Dividend for the 3rd year = $3.31 x ( 1 + 18% )^1 = $3.31 x ( 1 + 0.18 )^1 = $3.31 x ( 1.18 )^1 = $3.90

4.

Dividend for the 4th year = $3.31 x ( 1 + 18% )^2 = $3.31 x ( 1 + 0.18 )^2 = $3.31 x ( 1.18 )^2 = $4.60

5.

Dividend for the 5th year = $3.31 x ( 1 + 18% )^3 = $3.31 x ( 1 + 0.18 )^3 = $3.31 x ( 1.18 )^3 = $5.43

6.The present value of these dividends

Present value of dividends can be calculated by following formula:

PV  = FV / ( 1 + r )^n

FV = Dividend for the year

r = rate of return = 14%

n = number of years

1.      PV = $2.98 / ( 1 + 0.14 )^1 = $2.98 / ( 1.14 )^1 = $2.98 / 1.14 = $2.34

2.      PV = $3.31 / ( 1 + 0.14 )^2 = $3.31 / ( 1.14 )^2 = $3.31 / 1.2996 = $2.54

3.      PV = $3.90 / ( 1 + 0.14 )^3 = $3.90 / ( 1.14 )^3 = $3.90 / 1.481544 = $2.63

4.      PV = $4.60 / ( 1 + 0.14 )^4 = $4.60 / ( 1.14 )^4 = $4.60 / 1.68896 = $2.73

5.      PV = $5.43 / ( 1 + 0.14 )^5 = $5.43 / ( 1.14 )^5 = $5.43 / 1.925416 = $2.82