In: Finance
The risk-free rate is 3.12% and the market risk premium is 9.17%. A stock with a β of 0.84 just paid a dividend of $2.65. The dividend is expected to grow at 20.18% for five years and then grow at 3.83% forever. What is the value of the stock?
Answer format: Currency: Round to: 2 decimal places.
Caspian Sea Drinks needs to raise $70.00 million by issuing additional shares of stock. If the market estimates CSD will pay a dividend of $2.60 next year, which will grow at 3.40% forever and the cost of equity to be 13.37%, then how many shares of stock must CSD sell?
Answer format: Number: Round to: 0 decimal places.
Just wanted to make if I'm doing the process right. thank you
1] | Required rate of return per CAPM = 3.12%+0.84*9.17% = | 10.82% | ||
Value of the stock is the PV of the expected dividends | ||||
when discounted at the required rate of return of 10.82%. | ||||
Year | Dividend | PVIF at 10.82% | PV at 10.82% | |
0 | $ 2.650 | |||
1 | $ 3.185 | 0.90236 | $ 2.87 | |
2 | $ 3.827 | 0.81426 | $ 3.12 | |
3 | $ 4.600 | 0.73476 | $ 3.38 | |
4 | $ 5.528 | 0.66302 | $ 3.67 | |
5 | $ 6.644 | 0.59829 | $ 3.97 | |
Sum of PV of dividends of years 1 to 5 | $ 17.01 | |||
Continuing value of dividends at t5 = 6.644*1.0383/(0.1082-0.0383) = | $ 98.690 | |||
PV of continuing value = 98.690*0.59829 = | $ 59.05 | |||
Price of the stock today =17.01+59.05 = | $ 76.06 | |||
2] | Price of the share today = 2.60/(0.1337-0.034) = | $ 26.08 | ||
Number of share to be sold = 70000000/26.08 = | 2684049 | Shares |