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# Topic Test Level 2 - Equity , Valentine Case

If you are already doing the practice topic tests for level 2, I need your help to clarify something. I disagree with the answers for questions 2 and 3 for topic test on equity, the Valentine case. It seems to me the answers mixes up the formulas for trailing, and forward P/E ratios. If you agree with the answers for this topic test, would you please explain why the formulas used are correct? Thanks.

## Comments

• Hi @rogileiza

I understand that the formulas to get the justified trailing and leading multiples are counter intuitive. You'd think that the leading multiples would have the (1+g) and the trailing would not have the growth factor. However, it is backwards. Below are the derivations using the GGM:

justified trailing P0/E0=(1-b)(1+g)/(r-g)
justified leading P0/E1=(1-b)/(r-g)

Using the Gordon Growth Model:

justified trailing
P0=D0(1+g)/(r-g) using the GGM - then divide everything by E0

P0/E0=(D0/E0)(1+g)/(r-g) - D0/E0 = Dividend payout = (1-b) at time=0

Then - P0/E0=(1-b)(1+g)/(r-g)

leading trailing
P0=D1/(r-g) using the GGM - then divide everything by E1

P0/E1= (D1/E1)/(r-g)  - D1/E1 = dividend payout at time=1

Then - P0/E1=(1-b)/(r-g)

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