8) Procter and Gamble (PG) paid an annual dividend of $1.66 in 2009. You expect PG to increase its dividends by 7.7% per year for the next five years (through 2014), and thereafter by 3.1% per year. If the appropriate equity cost of capital for Procter and Gamble is 7.8% per year, use the dividend-discount model to estimate its value per share at the end of 2009.
The price per share is $? (Round to the nearest cent)
Year 1 dividend = 1.66 * 1.077 = 1.78782
Year 2 dividend = 1.78782 * 1.077 = 1.92548
Year 3 dividend = 1.92548 * 1.077 = 2.07374
Year 4 dividend = 2.07374 * 1.077 = 2.23342
Year 5 dividend = 2.23342 * 1.077 = 2.4054
Year 6 dividend = 2.4054 * 1.031 = 2.47996
Value at year 5 = D6 / required rate - growth rate
Value at year 5 = 2.47996 / 0.078 - 0.031
Value at year 5 = 2.47996 / 0.047
Value at year 5 = 52.76511
Price per share = 1.78782 / (1 + 0.078)1 + 1.92548 / (1 + 0.078)2 + 2.07374 / (1 + 0.078)3 + 2.23342 / (1 + 0.078)4 + 2.4054 / (1 + 0.078)5 + 52.76511 / (1 + 0.078)5
Price per share = $44.52
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