Company XYZ's earnings per share is 0.8$ in 2017 and
paid dividends per share is 0.48$ , the firm is expected to have
earnings growth of 25% in 2018. and then this growth rate is
expected to decline linearly over a 6 year period to stable growth
rate of 7%. the company's beta is 0.85 , tbill rate is 6.25%. risk
premium on market portfolio is 4%. assume capm holds. also assume
that growth rate in initial growth phase is not a constant but
declines linearly over time to reach stable growth rate
Using two stage ddm estimate the intrinsic value. how much was
attributed to extraordinary growth? how about stable growth? show
solution.
Current dividend per share , D0 =$ 0.48
abnormal growth rate, g1 = 25% = 0.25
H = 6/2 = 3 years
normal growth, g2 = 7% = 0.07
required rate of return , r = risk free return + (beta* risk premium on market portfolio) = 6.25 + (0.85*4) = 9.65% = 0.0965
intrinsic value = value due to extraordinary growth + value due to stable growth
value due to extraordinary growth = (D0*H*(g1-g2))/(r - g2) = (0.48*3*(0.25-0.07))/(0.0965 - 0.07) = 0.2592/0.0265 = 9.781132075 or $9.78 ( rounding off to 2 decimal places)
value due to stable growth = (D0*(1+g2))/(r-g2) = (0.48*(1.07))/(0.0965-0.07) = 0.5136/0.0265 = $19.38113208 or $19.38( rounding off to 2 decimal places)
intrinsic value = 9.781132075 + 19.38113208 =$ 29.16226416 or $29.16 ( rounding off to 2 decimal places)
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