Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The ABC Company has had the following pattern of earnings per share over the las

ID: 2634520 • Letter: T

Question

The ABC Company has had the following pattern of earnings per share over the last five years:

                                    Year                             Earnings per Share

2009...........................             $4.00

2010...........................               4.20

2011...........................               4.41

2012...........................               4.63

2013...........................               4.86

         The earnings per share have grown at a constant rate (on a rounded basis) and will continue to do so in the future. Dividends represent 40 percent of earnings. Project earnings and dividends for the next year (2014).

If the required rate of return (rs) is 13 percent, what is the anticipated stock price (P0) at the beginning of 2014?

Explanation / Answer

Earning

Growth

2009

4

2010

4.2

5.00%

2011

4.41

5.00%

2012

4.63

4.99%

2013

4.86

4.97%

Earning growth rate = 5%

Earning next year = 4.86*1.05 =5.103

Dividend next year = 0.4*5.103= 2.0412

Dividend growth rate= 5%

Require rate of return = 13%

Price P of stock = Div1/(13%-5%) =2.0412/(13%-5%) = 25.515

Earning

Growth

2009

4

2010

4.2

5.00%

2011

4.41

5.00%

2012

4.63

4.99%

2013

4.86

4.97%