In: Finance
alpha is expected to provide a dividend of sh 20 per share per year forever starting one year from now.beta is expected to pay a dividend of sh 10 per share in one years time thereafter dividend growth is expected to be 4%per annum forever.omega is is expected to pay a dividend of sh 10 per shar in one years time therafter dividend growth is expected to be 20% per annum for 4yrs and zero thereafter.if marketcapitalization rate for each share is 10%per annum which share is most valuable
Company Name | Alpha | Beta | |||
Dividend after one year | 20 | 10 | |||
Dividend Growth | - | 4% | |||
Capitalisation rate | 10% | 10% | |||
vaule of stock = Dividend/(Capitalisation rate- Dividend growth) | 200 | 166.6667 | |||
Company Name | Omega | ||||
Dividend | 10 | ||||
Dividend Growth | 20% for 4 years | ||||
Capitalisation rate | 10% | ||||
Particulars | Year 1 | Year 2 | Year 3 | Year 4 | Year 5 |
Dividend | 10 | 12 | 14.4 | 17.28 | 20.736 |
Present value at 10% discount rate | 9.090909 | 9.917355 | 10.81893 | 11.80247 | 12.87542 |
Price remains constant forever from 5th year | |||||
Price of Omega stock at beginning of 5th year | = 20.736/10% = | 207.36 | |||
Present value of the stock price | = 207.36/(1+0.1)^4= | 141.6297 | |||
Price of stock of Omega = | (Present value of dividends from year 1 to year 4) + | ||||
Present value of ( Dividend of year 5/10%) | |||||
= | 183.2593 | ||||
Since the value of Alpha is highest hence Alpha stock is more valuable |