Question

In: Finance

The risk-free rate is 3.12% and the market risk premium is 9.17%. A stock with a...

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

Solutions

Expert Solution

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

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