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 | ||||||