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IR September 2017
Long•Term Asset Return Study. The Next Financial Crisis
Equities
For equities although we have used slightly different methodologies the broad
principles were the same. Essentially we first calculate a mean reverted price
series. We do this by reverting real earnings back to their long-term trend line.
We then mean revert the current PE ratio back to its long-term average.
Combining the reverted earnings and PE ratios we can calculate a price. In
order to calculate total returns we have assumed real dividends revert back to
their long-term trend line. By combining the prices and the dividends we
calculate total returns. As already mentioned we used two slightly different
methodologies the specifics of which are outlined in the bullets below.
▪ Method I: We revert earnings, PE ratios and dividends back to their long-
term trend/averages using all available data back to 1871.
• Method 2: We revert earnings, PE ratios and dividends back to their long-
term trend/averages based on data since 1958. As already mentioned, this
recognises that earnings growth may have increased (albeit slightly) post
1958 and the previously discussed dividend crossover.
Treasury/Government bond mean reversion
For Treasuries and other Government bond series we have reverted to the
long-term average real yield which has been calculated by subtracting YoY CPI
from the nominal bond yield. We can then use these yields to calculate
prospective returns.
Corporate bond mean reversion (IG and HY)
For corporate bonds we mean revert credit spreads to their long-term average
level. These spreads coupled with the already calculated Treasury/Government
bond yields give us an overall corporate bond yield that can be used to
calculate possible future returns. We have used appropriate duration matched
Treasury/Government yields for the various different corporate bond series.
For the iBoxx indices, which only have data back to 1999, we have created a
longer-term spread series by regressing the iBoxx spread data against the
Moody's long-term spread series. The results of the regression can be used to
calculate a longer-term spread series, which can be used to calculate the long-
term average level that is then used for mean reversion purposes.
For further details on how we have calculated bond returns (both Government
and corporate) please refer to a previous version of this report (100 Year of
Corporate Bond Returns Revisited, 5th November 2008).
US property and commodity mean reversion
For both US property and the various commodity series we have calculated a
real adjusted price series and simply mean reverted to the long-term average
level of these series.
Page 70 Deutsche Bank AG/London
CONFIDENTIAL - PURSUANT TO FED. R. CRIM. P. 6(e) DB-SDNY-0084719
CONFIDENTIAL SDNY_GM_00230903
EFTA01384484
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