Question

Antiques ‘r' us is a mature manufacturing firm. the company just paid a dividend of $12.30, but management expects to reduce the payout by 5 percent per year, indefinitely. if you require a return of 9 percent on this stock, what will you pay for a share today? (do not round intermediate calculations and round your answer to 2 decimal places,
e.g., 32.16.) current share price

Answer 1

The constant growth model can be used here even if the dividends are decreasing by a persistent percentage, just make sure to distinguish the negative development. So, the computation for the price of the stock today will be:

P= dividend (1 +reduce payout) / (Return–reduce payout)

P= $12.30(1 – 0.05) / [(0.09 – (–0.05)]

P= $11.69 / 0.14

P = $83.46 is the price you will pay for a share today.