Solution (1)
As per dividend discount model, the value of a share is calculated as below:
Value of share= Expected dividend per share/(Cost of equity-dividend growth rate)
As given in the question,
Expected dividend= Last dividend*(1+g) = $1.58*(1+4%) = $1.6432
Cost of equity= 0.075 or 7.5%
Growth rate= 0.04 or 4%
Therefore, value of share is calculated as below:-
Value per share= $1.6432/(0.075-0.04)= $46.95 per share
Solution (2):
The share price of Coca cola co. at the close of 30th oct 2019 was $53.94 per share. Based on valuation as per dividend discount model as calculated in part (a) above, the share is overvalued by approx. $7 per share (53.94-46.95).
The reason why the shares look overvalued when we compare market value of share with intrinsic value calculated by dividend valuation model is because dividend valuation model only takes into account the dividends and the growth in dividends to come up at worth of a share. This is appropriate when a company distributes all its earnings as dividends. However, a company's true valuation can be evaluated based on its total earnings and not just dividends. The growing businesses will always have a part of their earnings reinvested in the business which will keep increasing the value of capital investment in shares, hence the true value of share will not be reflected in the valuation solely based on dividends and dividend valuation models will render valuation lower than the true intrinsic value of a share.
Due to the above reason, valuation of coca cola stock based on dividend valuation model seem to be overvalued when calculated intrinsic value is compared with current market value.
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