In: Finance
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
| 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 | ||||||