Question

In: Finance

ABC Co. has the following dividend payment history for the last five years, with the most...

ABC Co. has the following dividend payment history for the last five years, with the most recent dividend being $1.10: $0.50, $0.60, $0.80, $1.00, $1.10.                                                                                                                                                                                        

Historical growth rate estimation

  1. What is the compound growth rate of dividends based on the last five years of dividends data?                   
  2. Calculate the year-to-year growth rates in dividends.       
  3. What is the average year-to-year dividend growth rate?   (1 mark)
  4. ABC has a retention ratio of 0.9 and a historical return on equity (ROE) of 0.25. Using these two additional pieces of information, calculate an alternative estimate of dividend growth rate, g.                                                         (1 mark)
  5. Calculate the expected growth rate of dividends by averaging the growth rates in parts (a), (c), and (d).          (1 mark)

Dividend growth model

  1. ABC’s share price is currently $70, and the most recent dividend paid is $1.10 per share. Using the expected growth rate estimated in (e) above, calculate the cost of equity using the dividend growth model.            

SML model

  1. Given that the firm’s equity beta is 2, the risk-free rate is 5%, and the expected return on the market index is 13.5%, calculate its cost of equity using the SML model. (1 mark)

WACC calculation

  1. Calculate the firm’s average cost of equity by averaging the answers in parts (f) and (g).                              (1 mark)
  2. ABC’s capital structure contains only debt and equity. Given that its debt-equity ratio is 1, its cost of debt is 10%, and its marginal tax rate is 35%, calculate the firm’s WACC using the cost of equity calculated in part (h).    

NPV calculation

  1. The firm has a project with an initial cost of $1 million and annual cash savings of $300,000 for the next seven years. The risk adjustment for this project on the WACC is +5%. Calculate the net present value of this project using the WACC calculated in (i) above.                            

Should the firm go ahead with the project?

Solutions

Expert Solution

a). CAGR = [(latest dividend/last dividend)^(1/n)] -1

= [(1.10/0.50)^(1/4)] -1 = 21.79%

b). Growth rate y-o-y:

c). Average growth rate = sum of growth rates/4 = (20%+33.33%+25%+10%)/4 = 22.08%

d). Dividend growth rate = retention ratio*ROE

= 0.9*0.25 = 22.50%

e). Expected growth rate = (21.79%+22.08%+22.50%)/3 = 22.12%

Dividend growth model:

f). Cost of equity =(D0*(1+g)/P0) + g

where D0 = 1.10; g = 22.12%; P0 = 70

Cost of equity = (1.10*(1+22.12%)/70) + 22.12% = 24.04%

SML model:

g). Cost of equity (using CAPM) = risk-free rate + beta*(market return - risk-free rate)

= 5% + 2*(13.50%-5%) = 22.00%

WACC calculation:

h). Average cost of equity = (24.04%+22.00%)/2 = 23.02%

i). WACC = (debt ratio*cost of debt*(1-Tax rate)) + (equity ratio*cost of equity)

Since D/E = 1, so D/V = 0.5 and E/V = 0.5

WACC = (0.5*10%*(1-35%)) + (0.5*23.02%) = 14.76%

NPV calculation:

j). Project WACC = firm WACC + 5% = 14.76% + 5% = 19.76%

NPV = sum of discounted cash flows

= -1,000,000 + 300,000*(1-(1+19.76%)^-7)/19.76% = 88,509.72 (using PV of annuit formula)

The project can be accepted as it has a positive NPV.


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