Question

Colgate-Palmolive Company has just paid an annual dividend of $ 1.50$1.50. Analysts are predicting dividends to grow by $ 0.12$0.12 per year over the next five years. After​ then, Colgate's earnings are expected to grow 6.0 %6.0% per​ year, and its dividend payout rate will remain constant. If​ Colgate's equity cost of capital is 8.5 %8.5% per​ year, what price does the​ dividend-discount model predict Colgate stock should sell for​ today?

Answer 1

Answer:

The price does the​ dividend-discount model predict Colgate stock should sell for​ today is $66.47

Explanation:

In order to calculate the price does the​ dividend-discount model predict Colgate stock should sell for​ today we would have to calculate first the Present value of dividend of next 5 years as follows:

Present value of dividend of next 5 years as follows=

Year Dividend Discount factor Present value      

a             b          c=1.085^-a             d=b*c      

1 $       1.62 0.921659 $       1.49      

2 $       1.74 0.849455 $       1.48      

3 $       1.86 0.782908 $       1.46      

4 $       1.98 0.721574  $       1.43      

5 $       2.10 0.665045 $       1.40      

Total                                   $       7.25

Then, we have to calculate the Present value of dividend after 5 years as follows:

Present value of dividend after 5 years=D5*(1+g)/(Ke-g)*DF5

Present value of dividend after 5 years=$2.10(1+6%)/(8.50%-6%)* 0.665045

Present value of dividend after 5 years=$59.22

Current value of stock=Present value of dividend of next 5 years+ Present value of dividend after 5 years    

Current value of stock= $7.25+$59.22      

Current value of stock=$66.47        

The price does the​ dividend-discount model predict Colgate stock should sell for​ today is $66.47