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Homework answers / question archive / Procter and Gamble? (PG) paid an annual dividend of $2

Procter and Gamble? (PG) paid an annual dividend of $2

Finance

Procter and Gamble? (PG) paid an annual dividend of $2.94 in 2018. You expect PG to increase its dividends by 8.1% per year for the next five years? (through 2023), and thereafter by 2.6% per year. If the appropriate equity cost of capital for Procter and Gamble is 8.2% per? year, use the? dividend-discount model to estimate its value per share at the end of 2018.

The price per share is???? Please show work.

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The value of the stock is computed as shown below:

= Dividend in year 1 / (1 + required rate of return)1 + Dividend in year 2 / (1 + required rate of return)2 + Dividend in year 3 / (1 + required rate of return)3 + Dividend in year 4 / (1 + required rate of return)4 + Dividend in year 5 / (1 + required rate of return)5 + 1 / (1 + required rate of return)5 [ ( Dividend in year 5 (1 + growth rate) / ( required rate of return - growth rate) ]

= ($ 2.94 x 1.081) / 1.082 + ($ 2.94 x 1.0812) / 1.0822 + ($ 2.94 x 1.0813) / 1.0823 + ($ 2.94 x 1.0814) / 1.0824 + ($ 2.94 x 1.0815) / 1.0825 + 1 / 1.0825 x [ ( $ 2.94 x 1.0815 x 1.026) / (0.082 - 0.026) ]

= $ 3.17814 / 1.082 + $ 3.43556934 / 1.0822 + $ 3.713850457 / 1.0823 + $ 4.014672344 / 1.0824 + $ 4.339860803 / 1.0825 + $ 79.51244972 / 1.0825

= $ 3.17814 / 1.082 + $ 3.43556934 / 1.0822 + $ 3.713850457 / 1.0823 + $ 4.014672344 / 1.0824 + $ 83.85231052 / 1.0825

= $ 68.28