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I need 1-6 done. c. Use the PL Tun present value of the dividends during the nonconstant growth period and the price d. How sensitive

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c. Use the PL Tun present value of the dividends during the nonconstant growth period and the price d. How sensitive is the current stock price to changes in the PE ratio when the tod petual growth rate in dividendS. NOM you calculated using the PE ratio. reaches the perpetual growth rate? Graph the current stock price against the ratio in 10 years to find out. MINICASE Stock Valuation at Ragan, Inc. they have gathered the information about their main comp Ragan, Inc., was founded nine years ago by brother and sis- ter Carrington and Genevieve Ragan. The company manufac- tures 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 Car- rington 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 of- fered 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, tors in the table below. Expert HVAC Corporation's negative earnings per e were the result of an accounting write-off last year. Withog the write-off, earnings per share for the company would hag 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 d- idend to Carrington and Genevieve of $45,000 each. The con- pany also had a return on equity of 17 percent. The siblings believe that 14 percent is an appropriate required return for the company. Ragan, Inc., Competitors EPS DPS Stock Price ROE Arctic Cooling. Inc. National Heating & Cooling $1.30 $.16 $25.34 8.50% 10.00% 1.95 .23 29.85 10.50 13.00 Expert HVAC Corp. -37 14 $.18 22.13 $25.77 Industry Average $.96 9.78 12.00 9.59% 11.67% Chapter 8 Stock Valuation 271 QUESTIONS L Assuming the company continues its current growth rate, wtur is the value per share of the company's stock? 2 To verify their calculations, Carrington and Genevieve Auve hired Josh Schlessman as a consultant. Josh was pre- Tously an equity analyst and covered the HVAC industry. Anh has examined the company's financial statements, as ell as examining its competitors' financials. Although Ragan, Inc., currently has a technological advantage, his arch 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 Erowth 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 sock price? 4. Carrington and Genevieve are unsure how to interpret the price-earnings ratio. After some head scratching, they've come up with the following expression for the price- earnings ratio: P. 1-b E, R-(ROE x b) Beginning with the constant dividend growth model, ver- ify 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? 5. 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 not increase the stock price? 1 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

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