Question

In: Finance

Company CDE generated cash flows of $2.00 per share last year. CDE’s cost of capital 12%....

Company CDE generated cash flows of $2.00 per share last year. CDE’s cost of capital 12%. Growth is expected to be 12% in year one, 11% in year two, 10% in year three, then decline to 6% over the next four years, and then continue at 6%. estimate the value per share. PLEASE SHOW YOUR WORK

Solutions

Expert Solution

Step 1)
CALCUALTION OF D1,D2,D3, D4 & D5
Last Dividend Growth Rate Dividend of the year
Dividend after the Year 0= D0 0 0 $                            2.00
Dividend after the Year 1= D1 $                     2.00 12% $                            2.24
Dividend after the Year 2 = D2 $                     2.24 11% $                            2.49
Dividend after the Year 3 = D3 $                     2.49 10% $                            2.74
Dividend after the Year 4 = D4 $                     2.74 6% $                            2.90
Dividend after the Year 5 = D5 $                     2.90 6% $                            3.07
Step 2 =CALCULATION OF THE VALUE OF THE STOCK AT THE END OF FORTH YEAR
Formula P4 = D5 / Ke - g
Ke = Cost of Equity = Expected return = 12% = 0.12
g = Growth rate = 6% = 0.06
P4 = price of the stock at the end of 4th year
D5 = Dividend at the end of 5th year = $ 3.07
P4 = D5 / Ke - g
P4 = $ 3.07 / 0.12 - 0.06
P4 = $ 3.07 / 0.06                                   -  
P4 = 51.17
STEP 3: CALCLATION OF PRESENT VALUE OF THE STOCK
Year   Dividend PVF @ 12% Present Value
                         1 $                      2.24                   0.89286 $                          2.24
                         2 $                      2.49                   0.79719 $                          2.49
                         3 $                      2.74                   0.71178 $                          2.74
                         4 $                      2.90                   0.63552 $                          2.90
Stock Value P4                          4 $                    51.17                   0.63552 $                        32.52
Total $                        42.88
Answer = Value of Shares = $ 42.88

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