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6. Reynolds Textiles wants to measure its cost of common equity. The firm’s stoc

ID: 2668021 • Letter: 6

Question

6.      Reynolds Textiles wants to measure its cost of common equity. The firm’s stock is currently selling for $57.50 per share. The firm expects to pay a $3.40 dividend at the end of 2011 (so assume that

            D1 = $3.40 for purposes of calculation). The dividends for the last 5 years are as follows:

                                    Year                                         Dividend

                                    2010                                        $3.10

                                    2009                                        $2.92

                                    2008                                        $2.60

                                    2007                                        $2.30

                                    2006                                        $2.12

After incurring flotation costs, Reynolds Textiles expects to net $52 per share on a new issue.

(a)   Determine the growth rate of dividends (g).

(b)   By applying the constant-growth valuation model, determine the cost of retained earnings common equity (rs).

(c)    By applying the constant-growth valuation model, determine the cost of newly-issued common equity (re).

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Explanation / Answer

(a) Growth rate of dividend:                                  D1      = D0(1+g)^1                      Here D1 is $3.40. then D0 is $3.10                                  $3.40   = $3.10(1+g)                                  (1+g)    = 3.40/3.10                                               = 1.0967                                        g     = 0.0967             Growth rate is 9.67%. Therefore dividend growth rate is 9.67%. (b)          Cost of retained earnings common equity      = Dividend/Mareket price + growth rate                                                                              = 3.40/57.50 + 9.67%                                                                              = 0.0591 + 9.67%                                                                              = 5.91% + 9.67%                                                                              = 15.58%          Cost of retained earings common equity is 15.58%. (c)          Newly issued common equity      = Dividend/Net proceeds + Growth rate                                                               =         3.40/52 + 9.67%                                                            = 0.065 + 9.67%                                                            = 6.5% + 9.67%                                                            = 16.67%          Cost of newly issued common equity is 16.67%                                                  D1      = D0(1+g)^1                      Here D1 is $3.40. then D0 is $3.10                                  $3.40   = $3.10(1+g)                                  (1+g)    = 3.40/3.10                                               = 1.0967                                        g     = 0.0967             Growth rate is 9.67%. Therefore dividend growth rate is 9.67%. (b)          Cost of retained earnings common equity      = Dividend/Mareket price + growth rate                                                                              = 3.40/57.50 + 9.67%                                                                              = 0.0591 + 9.67%                                                                              = 5.91% + 9.67%                                                                              = 15.58%          Cost of retained earings common equity is 15.58%. (c)          Newly issued common equity      = Dividend/Net proceeds + Growth rate                                                               =         3.40/52 + 9.67%                                                            = 0.065 + 9.67%                                                            = 6.5% + 9.67%                                                            = 16.67%          Cost of newly issued common equity is 16.67%                
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