Question

Fowler, Inc., just paid a dividend of $2.70 per share on its stock. The dividends are expected to grow at a constant rate of 4.5 percent per year, indefinitely. Assume investors require a return of 9 percent on this stock. a. What is the current price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What will the price be in six years and in thirteen years? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)

Answer 1

Answer:

Fowler, Inc.

a. Current price = Current Dividend/r - g

where r = Required Rate of Return

and g = growth rate

= $2.70/0.09 - 0.045

= $2.70/0.045

= $60

b. The price in six years' time, growing at 4.5%

= Current price x (1 + g)^6

= $60 x 1.30226

= $78.14

c. The price in thirteen years' time, growing at 4.5%

= $60 x 1.772196

= $106.33

Explanation:

a) Data and Calculations:

Current Dividend = $2.70

Dividends' constant growth rate = 4.5% p.a. indefinitely

Investors' required rate of return = 9%

Fowler, Inc.'s stock prices calculated using the dividend, growth rate, and investors required rate of return gives the intrinsic values of the stock for the current year, in six and thirteen years' time.  The intrinsic value calculation eliminates the need to value the stock subjectively.