In: Finance
XYZ corp is expected to pay dividends of $3.50 at the end of every year for the next 3 years. If the current price of XYZ corp is $15, and XYZ’s equity cost of capital is 20%, what price would you expect XYZ’s stock to sell for at the end of three years (immediately after the third dividend is paid)?
Price of Stock is PV of Cfs from it.
Let X be the price after 3 Years.
Year | CF | PVF @20% | PV of CFs |
1 | $ 3.50 | 0.8333 | $ 2.92 |
2 | $ 3.50 | 0.6944 | $ 2.43 |
3 | $ 3.50 | 0.5787 | $ 2.03 |
3 | X | 0.5787 | 0.5787X |
Price Today | 7.37+0.5787X |
Thus 7.37 + 0.5787X = 15
0.5787X = 15 - 7.37
= 7.63
X= 13.18
Price after 3 years is $ 13.18.