Question

Indigo Ink Supply paid a dividend of $5 last year on its common stock. It is expected that this dividend will grow at a rate of 8.5% for the next five years. After that, the company will settle into a slower growth pattern and plans to pay dividends that will grow at a rate of 3.8% per year. Investors require a return of 11.5% on the stock.
a. What will be the dividend paid out for the next six years?
b. What is the intrinsic value of Indigo’s stock?

Answer 1

Answer:

a.

1st $5.43

2nd $5.89

3rd $6.39

4th $6.93

5th $7.52

6th $7.81

b.

$75.85

Explanation:

Dividend is the payment to the stockholders out of earning of the company. Companies have a dividend policy which determine the future dividend payments.

Dividend of each year can be calculated by using the growth rate as a discount in the compounding formula.

Dividend Payment

First year = $5 x ( 1 + 8.5% )^1 = $5.43

Second year = $5 x ( 1 + 8.5% )^2 = $5.89

Third year = $5 x ( 1 + 8.5% )^3 = $6.39

Fourth year = $5 x ( 1 + 8.5% )^4 = $6.93

Fifth year =$5 x ( 1 + 8.5% )^5 = $7.52

Sixth year = $7.52 x ( 1 + 3.8% )^1 = $7.81

b.

Intrinsic value of the stock is the present value of all the associated dividends

We need to calculate the present value of all the dividend payment.

First year = $5.43 x ( 1 + 11.5% )^-1 =  $4.87

Second year = $5.89 x ( 1 + 11.5% )^-2 = $4.74

Third year = $6.39 x ( 1 + 11.5% )^-3 = $4.61

Fourth year = $6.93 x ( 1 + 11.5% )^-4 = $4.48

Fifth year = $7.52 x ( 1 + 11.5% )^-5 = $4.36

After fifth year the dividend will be discounted as follow

PV of dividend after fifth year = [ $7.81 / (11.5% - 3.8%) ] x [ (1+11.5%)^-6 ] = $52.79

Intrinsic Value of Stock = Sum of PV of all dividends = $4.87 + $4.74 + $4.61 + $4.48 + $4.36 + $52.79 = $75.85