At a CFA society function, Andrew Caza comments to Nanda Dhople that the expected dividend growth rate (g) for Zeron Enterprises Inc (ZEI) is expected increase 0.5% from 6% to 6.5%. Caza claims that since ZEI will maintain their historic dividend payout ratio (g) of 50% and cost of equity (k) of 10%, ZEI's P/E ratio will also increase by 0.5%. Is Caza correct?
A) |
No, ZEI's P/E ratio will decrease by approximately 14.32%. | |
B) |
Yes, ZEI's P/E ratio will increase by approximately 0.5%. | |
C) |
No, ZEI's P/E ratio will increase by approximately 14.32%. | |
Caza is not correct. P/EZEI = payout ratio / (k - g) When the expected dividend growth is 6%, P/E = 0.50 / (0.10 - 0.06) = 12.50 When the expected dividend growth is 6.5%, P/E = 0.50 / (0.10 - 0.065) = 14.29 The percentage change is (14.29 / 12.50) - 1 = 14.32%, representing a 14.32% increase.
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