Question

Gilmore, Inc., just paid a dividend of $3.30 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. What is the current price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Current price $ 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.) Price Six years $ Thirteen years $

Answer 1

(i) $76.63(Approx)

(ii) $99.80 (Approx) ; $135.81 (Approx)

Step-by-step explanation:

Current price = Dividend for next period ÷ (Required return - Growth rate)

= (3.3 × 1.045) ÷ (0.09 - 0.045)

= $76.63(Approx)

Price in 6 years:

`=Current\ price*(1+Growth\ rate)^(n)`

`=76.63*(1+0.045)^(6)`

`=76.63*(1.045)^(6)`

= $99.80 (Approx)

Price in 13 years:

`=Current\ price*(1+Growth\ rate)^(n)`

`=76.63*(1+0.045)^(13)`

`=76.63*(1.045)^(13)`

= $135.81 (Approx)