Lohn Corporation is expected to pay the following dividends over the next four years: $18, $14, $13, and $7.50. Afterward, the company pledges to maintain a constant 4 percent growth rate in dividends forever. If the required return on the stock is 14 percent, what is the current share price? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.)

Question

Gilbert

Business

13 August, 07:53

Lohn Corporation is expected to pay the following dividends over the next four years: $18, $14, $13, and $7.50. Afterward, the company pledges to maintain a constant 4 percent growth rate in dividends forever. If the required return on the stock is 14 percent, what is the current share price? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.)

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Answers (1)

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Ronin Rodgers · Answer 1

current share price = $85.96

Explanation:

Find the PV of each dividend

PV = FV / (1+r) ^t

r = required return

t = total duration

PV (D1) = 18 / (1.14) = 15.78947

PV (D2) = 14 / (1.14^2) = 10.77255

PV (D3) = 13 / (1.14^3) = 8.774630

PV (D4) = 7.50 / (1.14^4) = 4.44060

PV (D5 onwards) is a two-step process, first PV of growing perpetuity;

PV (D5 onwards) at yr4 = [7.50 * (1+0.04) ] / (0.14-0.04) = 78

second, finding PV today; PV (D5 onwards) at yr 0 = 78 / (1.14^4) = 46.18226

Add the PVs to get the current share price = $85.96