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efta-01459754DOJ Data Set 10OtherEFTA01459754
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8 February 2016
US Equity Insights
Figure 46: Correct PC formula vs. commonly used `wrong" formula
Incorrect
Growth based fair PB:
PB
=
Incremental real ROE - real growth
Accumulated ROE
PB
=
ROE -g
Real COE • real growth
• Real incremental ROE
COE-g
Steady-state based fair PB:
Accumulated ROE
ROE
PO
=
Real COE
PB
=
COE
DPS
Growth based fair PE:
PE
=
COE - growth
/
EPS
Steady-state based fair PE:
1
1
PE
=
real COE
PE
=
COE
UV C.
Ch. &WM
The commonly used "wrong" PB formula (on the top right above) has two critical flaws
in its derivation from the proper Gordon Growth dividend discount model:
•
It assumes accumulated ROE = incremental ROE
•
It does not account for long-term EPS growth driven by inflation
Rarely does ROE equal incremental ROE or even converge v,;th CUE at steadv.state
In theory, it makes sense for accumulated ROE to converge with the incremental ROE
or COE over the long-run owing to competitive forces. However, in practice this rarely
happens on accounting based measures of accumulated ROE. To the contrary, the
spread between the two often expands over time because the accumulated ROE rises
as earnings rise faster than book equity due to inflation. This is because inflation adds
to earnings growth but not book value growth (assets are carried at cost). This often
overpowers any decline in ROE over COE earned by the company or industry maturing.
If one accepts that Banks have little long-term economic profit growth potential, even if
their current ROE exceeds their COE, then the best short-cut method to approximate a
fair steady-state PB for banks is the ratio of an estimated sustainable accumulated ROE
divided by a real cost of equity estimate. This is consistent with a fair steady-state PE
being 1 divided by the real cost of equity.
Page 24
Deutsche Bank Securities Inc.
CONFIDENTIAL — PURSUANT TO FED. R. CRIM. P. 6(e)
DB-SDNY-0120418
CONFIDENTIAL
SDNY_GM_00266602
EFTA01459754
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