Stock Valuation at Ragan, Inc. Ragan, Inc., was founded nine years ago by brother and sister Carrington and Genevieve Rogan. The company manufactures and installs comercial heating, ventilation, and cooling (HVAC) units. Ragan, Inc. has experienced rapid growth because of a proprietary technologs 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 Corporation's 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 $1.06. The ROE for Expert HVAC is based on net income excluding the write-off. Last year. Ragan. Inc. had an EPS of $4.54 and paid a dividend to Carrington and Genevieve of $60.000 each. The company also had a return on equity of 15 percent. The siblines believe that 15 percent is an appropriate required return for the company Regan, Inc. Competitors EPS DPS Stock Price ROE Arctic Cooling, Inc. $.81 $.20 $14.18 10.00% 10.00% National Heating & Cooling 138 62 1187 13.00 13.00 Expert HVAC Corp -46 38 13.21 14.00 1200 Industry Average $.58 $.40 $13.09 12.33% 11.67% Per QUESTIONS 1. Assuming the company continues its current growth rate. what is the value per share of the company's stock? 2. To verify their calculations, Carrington and Genevieve have hired Josh Schlessman as a consultant. Josh was previously an equity analyse and covered the HVAC industry, Josh has examined the company's financial statements, as well as 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 company's technological advantage will last only for the next five years. After that period, the company's growth will likely slow to the industry growth average. Additionally. Jos believes that the required return used by the compas 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 werage 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 low to interpret the price earnings ratio. After some head scratching they've come up with the following expression for the price earnings ratio 1-b E R-(ROE) 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 company's ROE? 3. Assume the company's 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 company's 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 nor increase the stock price