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Basic Question 2 of 2

An analyst is conducting a valuation for DEF Corp. This company has a dividend payout ratio of 25% and is expected to exhibit an ROE of 22% over the next three years. Thereafter, the "residual income" will remain constant. If the book value of DEF is currently $27.50, and the required rate of return on equity is 9%, which of the following would best estimate the terminal value of the residual income at the end of year three?

A. $27.58
B. $37.65
C. $53.89

User Contributed Comments 5

User Comment
danlan2 B2=B0*(1+0.22*0.75)^2=27.5*1.165^2=37.32
RI3=(ROE-r)B2=0.13*37.32=4.85
LloydBraun7 It was never mentioned that the book value was all equity....it would have to be in order to be able to do ROE*BV.
Alena1989 In Step 2 it should be BBV in the year 2 not 3 (preceding the year of the earnings used in calculation)
davidt876 nice danlan. also the answer is wrong for saying RI3 = E3 - r*BBV3... it should instead be RI3 = E3 - r*BBV2 - which is what danlan references in his answe
michaelcfa The answer is correct. To calculate the residual income of period 3 (RI3) you should use the beginning book value at the end of period 2 , which is also the value at the beginning of period 3: BBV3 (37.33)!
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Learning Outcome Statements

explain continuing residual income and justify an estimate of continuing residual income at the forecast horizon, given company and industry prospects;

CFA® 2025 Level II Curriculum, Volume 4, Module 24.