Ragan, Inc., was founded nine years ago by brother and sister Carrington and Genevieve Ragan. The company manufactures and installs commercial heating, ventilation, and cooling (HVAC) units. Ragan, Inc., has experienced rapid growth because of a proprietary technology that increases the energy efficiency of its units. The company is equally owned by Carrington and Genevieve. The original partnership agreement between the siblings gave each 50,000 shares of stock. In the event either wished to sell stock, the shares first had to be offered to the other at a discounted price.

Although neither sibling wants to sell, they have decided they should value their holdings in the company. To get started, they have gathered the information about their main competitors in the table below.

Expert HVAC Corporations negative earnings per share were the result of an accounting write-off last year. Without the write-off, earnings per share for the company would have been $1.10. The ROE for Expert HVAC is based on net income excluding the write-off.

Last year, Ragan, Inc., had an EPS of $3.15 and paid a dividend to Carrington and Genevieve of $45,000 each. The company also had a return on equity of 17 percent. The siblings believe that 14 percent is an appropriate required return for the company.

	EPS	DPS	Stock Price	ROE	R
Arctic Cooling	$1.30	$.16	$25.34	8.50%	10%
National Heating and Cooling	1.95	.23	29.85	10.50	13%
Expert HVAC Corp.	-.37	.14	22.13	9.78	12%
Industry Average	$.96	$.18	$25.77	9.59%	11.67%

1.Assuming the company continues its current growth rate, what is the value per share of the companys stock?

2.To verify their calculations, Carrington and Genevieve have hired Josh Schlessman as a consultant. Josh was previously an equity analyst and covered the HVAC industry. Josh has examined the companys financial statements, as well as examining its competitors financials. Although Ragan, Inc., currently has a technological advantage, his research indicates that other companies are investigating methods to improve efficiency. Given this, Josh believes that the companys technological advantage will last only for the next five years. After that period, the companys growth will likely slow to the industry growth average. Additionally, Josh believes that the required return used by the company is too high. He believes the industry average required return is more appropriate. Under this growth rate assumption, what is your estimate of the stock price?

3.What is the industry average price-earnings ratio? What is the price-earnings ratio for Ragan, Inc.? Is this the relationship you would expect between the two ratios? Why?

4.Carrington and Genevieve are unsure how to interpret the price-earnings ratio. After some head scratching, theyve come up with the following expression for the price-earnings ratio:

P0E1=1bR(ROEb)P0E1=1bR(ROEb)

Beginning with the constant dividend growth model, verify this result. What does this expression imply about the relationship between the dividend payout ratio, the required return on the stock, and the companys ROE?

5.Assume the companys growth rate slows to the industry average in five years. What future return on equity does this imply, assuming a constant payout ratio?

6.After discussing the stock value with Josh, Carrington and Genevieve agree that they would like to increase the value of the company stock. Like many small business owners, they want to retain control of the company, so they do not want to sell stock to outside investors. They also feel that the companys debt is at a manageable level and do not want to borrow more money. How can they increase the price of the stock? Are there any conditions under which this strategy would not increase the stock price?