An analyst attempting to value the shares of a company has gathered the following data:
| Return on equity | 12% |
| Dividend payout ratio | 40% |
| Required rate of return on shares | 15% |
| Current year's dividend per share | $3.60 |
Using the Gordon growth model, the intrinsic value per share is closest to:
g = b × ROE; b = earnings retention rate = (1 - Dividend payout ratio)
D1 = D0 (1 + g); V0 = D1 /(r - g);
b = 1 - 0.40 = 0.60; g = 0.60 × 12 = 7.2%;
D1= 3.60 (1.072) = $3.86; V0 = 3.86/(0.15 -0.072) = $49.49.