Question

Gruber Corp. pays a constant $8.45 dividend on its stock. The company will maintain this dividend for the next 15 years and will then cease paying dividends forever. The required return on this stock is 13 percent. What is the current share price?

Answer 1

Answer:

The price of the stock today is $54.61

Explanation:

The stock of this company pays a constant dividend for a defined period of time after equal intervals. Thus, it is just like an annuity. To calculate the price of such a stock, we will use the present value of annuity formula:

Assuming that the dividend is paid at the end of the period.

Present Value of Annuity = Dividend * [(1 - (1+r)^-n) / r]

Where,

• r is the required rate of return
• n is the number of years of annuity

The price of the stock today is,

P0 = 8.45 * [(1 - (1+0.13)^-15) / 0.13]

P0 = $54.607 rounded off to $54.61