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Multiple simultaneous positions, Sharpe ratio



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I happen to like the Sharpe ratio too.  I find that when I
run a bunch of historical backtest simulations and measure
lots of statistics on the resulting equity curves, the curves
my eyeball and my gut like best, seem to correlate with
the highest Sharpe ratio.  I've tried the standard set of
candidates: Kestner K-Ratio, Sortino Ratio, Schwager Return
Retracement Ratio, Seykota Lake Ratio, Spratling R-Squared,
Curtis Faith R-Cubed, MAR ratio, Peter Martin Ulcer Index,
Wealth Lab WL Score, ad nauseum.  But the equity curves
I like, and the equity curves Sharpe Ratio likes (biggest
ratio), are a better match than with any other metric.

However I would like to remind folks that to calculate a
Sharpe Ratio, you need a time series of returns.  A list
of trade outcomes is insufficient; you don't know the
*timing* of those outcomes.  Different trades have different
durations, and because we trade *portfolios* of instruments,
many trades overlap one another.  For example, here are
the positions in one of my personal accounts, as of Friday.
(I'll be adding another one on Sunday night, as I just got
an entry signal for LIFFE White Sugar #5).  There are 29
different positions, nine of which got entered on a split
fill and/or pyramid.  See Bean Oil and Corn for two
examples.

These 29 trades, soon to be 30 trades, proceed in parallel.
The daily returns of these positions add together to form
the daily return of the portfolio as a whole.  We can't
know the portfolio return (thus we can't calculate a Sharpe
Ratio) without knowing the *timing* of the individual trades.
In fact, the easiest and in my opinion best way to
calculate the Sharpe Ratio, is to begin with the equity
curve itself.

But you knew that already.  This is merely a reminder.
  - MJ

Sym   EntryDate  L/S  ncars  Month  EntryPrice
AD    20071210    L    xxx    Mar     0.87265
BO    20071224    L    xxx    Mar    47.68
BO    20071224    L    xxx    Mar    47.66
C     20071126    L    xxx    Mar   409.00
C     20071226    L    xxx    Mar   452.5
CC    20071109    L    xxx    Mar  1951.0
CD    20071210    L    xxx    Mar     0.99645
CD    20071210    L    xxx    Mar     0.9964
CGB   20071123    L    xxx    Mar   115.21
CGB   20071204    L    xxx    Mar   116.03
CU    20071210    L    xxx    Mar     1.4669
DA    20071126    L    xxx    Mar    16.92
DA    20071126    L    xxx    Mar    16.90
DX    20071206    S    xxx    Mar    76.50
EBM   20071126    L    xxx    Mar   109.50
ED    20071107    L    xxx    Jun    95.79
ED    20071126    L    xxx    Jun    96.16
FC    20071210    S    xxx    Jan   105.85
FF    20071001    L    xxx    Mar    95.73
FF    20071001    L    xxx    Mar    95.725
FSS   20071022    L    xxx    Jun    94.40
FV    20071123    L    xxx    Mar   109^23.5
GC    20071123    L    xxx    Feb   820.5
KW    20071123    L    xxx    Mar   845.5
LC    20071207    S    xxx    Feb    96.175
LCC   20071228    L    xxx    Mar  1056.0
LH    20071128    S    xxx    Feb    62.15
MP    20071210    L    xxx    Mar     0.091775
O     20071220    L    xxx    Mar   302.0
PL    20071221    L    xxx    Apr  1527.8
S     20071224    L    xxx    Mar  1193.50
SB    20071228    L    xxx    Mar    11.06
SJB   20071205    L    xxx    Mar   137.28
SJB   20071205    L    xxx    Mar   137.26
SM    20071224    L    xxx    Mar   335.00
SM    20071224    L    xxx    Mar   335.25
TU    20071123    L    xxx    Mar   105^03.5
TY    20071123    L    xxx    Mar   112^23.75
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