A firm has earnings of $1.45 this year and a P/E ratio of 20. It is currently expected to grow at 3.6% per year forever. What would its new P/E ratio be if it could increase this growth to 5.7% per year without a change in its cost of capital?
PE Ratio = 20
Price / Earnings = 20
Price = 20 * Earnings
= 20 * 1.45
= 29
D0 = 1.45
Value of Stock =
29 =
29 * Rate of Return - 29 * 0.036 = 1.5022
29 * Rate of Return - 1.044 = 1.5022
Rate of Return = (1.5022 + 1.044) / 29
Rate of Return = 8.78%
Price at new Growth Rate =
=
= 1.53265 / 0.0308
= 49.76
NEW PE = Price / Earning
= 49.76 / 1.45
= 34.32
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