Belmont Abbey (BA) has experienced prosperity in the last four years. The monks have been very generous: new dormitories, scholarships, and a new science building. They also paid common stock dividends: D1 $3 D2 $3.5 D3 $4 D4 $5 Given: The growth rate for the last few years is 3%. BA expects to continue with this distribution of dividends. What is the value of BA’s stock if the required rate of return is 9 percent?
Value of Stock = Present Value of Dividends + Present Value of Price at Year 4
= $ 12.3290335299848 + $ 60.8064972830960
= $ 73.14
Hence the correct answer is $ 73.14
Note:
1. Present Value of Price at Year 4 = [Expected Dividend / ( Required return - growth rate) ] * Discounting Factor at Year 4
= [ $ 5 * 1.03 / ( 9% -3 %) ] *0.7084252110651960
= $ 60.8064972830960
2.
Year | Dividend | Discounting Factor(9%) | |
1 | 3.00 | 0.9174311926605500 | 2.7522935779816500 |
2 | 3.50 | 0.8416799932665600 | 2.9458799764329600 |
3 | 4.00 | 0.7721834800610640 | 3.0887339202442600 |
4 | 5.00 | 0.7084252110651960 | 3.5421260553259800 |
Present Value of Dividends | 12.329033529984800 |
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