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[amibroker] Re: Perfect Profit and DOF



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As long as you get where you want to go.

A fourth opinion FWIW:

PP is a specific term used by Pardo.
He doesn't define it precisely, or give a method (he just says buy 
the bottom and sell the top).

I have used the sum of the absolute value of the daily ROC to 
calculate PerfectEquity (PP) for daily bars, on the close (I have 
used it to calculate a Straight Line Ratio or SLR which is a measure 
of absolute PP for EOD traders).

ZigZag will give you a smoothed variant of PP (if we allow ourselves 
free rein with Pardo's idea).

Howard uses ZZ, in his book, specifically for stock selection based 
on cycle analysis.

He does say that "issues with regular price patterns lend themselves 
to profitable quantitative analysis" but he leaves the trading 
solutions up to us.

If you use ZZ in model efficiency analysis you are measuring your 
systems efficiency in synchronizing to the cycle/patterns for that 
dataset and that test period (if it wasn't synchronized then it 
wouldn't return a good ME - 100% ME would be a set of rules that 
perfectly models the ZZ cycles).

Same for all ME's irrespective of the definition of the PP.

It could be an interesting approach - I don't know I haven't tried it 
so far. To me it is a 'pursuit of the Holy Grail' approach.
My bias is to be a street fighter and just take whatever I can get 
until something better comes along (I have the trading loyalty of an 
alleycat!).

Howard's method/code can be adapted to give you one answer (if you 
were always in the trade, with a reversal signal, then eq will give 
you the abs sum of the zigs and the zags).

Otherwise you have to calc by defining the PivotPoint (as Howard 
does) and then summing the absolute difference between the value
(when) of the current and previous pivot (at least that is one way I 
have done it in the past).

If you just want to trade one way e.g. bullish, Howard's example 
contains your answer.

brian_z

--- In amibroker@xxxxxxxxxxxxxxx, Thomas Ludwig <Thomas.Ludwig@xxx> 
wrote:
>
> Brian,
> 
> thanks for your answer.
> 
> > Calculating PP is made a little more interesting if we 
define 'top'
> > as the bar high and 'bottom' as the bar low, for every pivot 
point.
> > However, for simplicity we can assume we are only talking about 
the
> > close (line chart and not a bar chart).
> > PP is definitely not available from zigzag - forget it - it may 
well
> > be useful info but we can't call it PP (Howards uses it in his 
book -
> > he uses it in a slightly different way which is valid but it is 
not
> > PP as defined by Pardo and others).
> 
> I'm not sure why you think that PP is not available from zigzag. 
While 
> there might be more complicated methods to calculate PP (depending 
on 
> your definition), zigzag is a good approximation in my opinion. And 
I 
> need a handy formula since I want to add it as one additional 
metric to 
> my WF IS and OOS equity curves.
> 
> Regards,
> 
> Thomas
> >
> > Note: How you calculate PP depends on your definition of a Pivot.
> >
> > IMO PP is a rather complicated way to go about it.
> > I am not certain that it is even the best method (where best == 
the
> > method that returns a consistent and effective measure of the
> > relative value of a system compared to other systems and compared 
to
> > buy&hold).
> > In fact I think it is a metric that encourages overfitting since 
ME
> > could be very high if you optimise until you sync with the pivot
> > cycles (unless of course you believe that the cycle lengths will
> > persist, in which case you have found your ElDorado).
> >
> > Also another personal opinion - Pardo's explanation of DOF doesn't
> > hold any value for traders (I haven't found one that does).
> > The discussions, in this forum, on sensitivity analysis, and other
> > evaluation discussions involving Fred and Howard, were much more
> > topical and have much more relevance to real life trading.
> >
> > Another approach you might like to think about:
> >
> > a) for benchmarking against the buy&hold (note that for a 
freelance
> > trader this is a different cup of tea compared to institutional
> > benchmarking)
> >
> > - since we believe our entry offers us an advantage over the 
dumbluck
> > B&H and our exits (stops) are fixed by the system rules i.e. they 
are
> > the same for every trade - we can compare effectiveness of the
> > entries by setting the buy = every bar (use the same price as the
> > system buy price).
> >
> > Reason == to test our entries we need to compare their 
effectiveness
> > against a random entry. If we make enough random entries then the 
law
> > of averages means eventually we will end up entering on every bar 
an
> > equal number of times..
> >
> > Note: we need to use the same exit rules as per the system.
> > Model efficiency == system metric/every bar entry metric.
> >
> > b) to rank a system against other systems:
> >
> > compare your evaluation metric against the same metric for other
> > systems USING THE SAME DATA/PERIODS (allow for sample error).
> >
> > Note: the metric you use is up to you i.e. personal choice OR as 
Fred
> > would say "whatever floats your boat".
> >
> >
> >
> > brian_z
> >
> >
> > --- In amibroker@xxxxxxxxxxxxxxx, Thomas Ludwig <Thomas.Ludwig@>
> >
> > wrote:
> > > Hi all,
> > >
> > > Rober Pardo suggests in his book "The Evaluation and 
Optimization
> >
> > of
> >
> > > Trading Strategies" the calculation of "Perfect Profit" (PP)
> >
> > which "is
> >
> > > the sum total of all of the potential profit that could be 
realized
> >
> > by
> >
> > > buying every bottom and selling every top". By comparing Net 
Profit
> >
> > of
> >
> > > your trading system with PP you can calculate the "Model
> >
> > Efficiency"
> >
> > > (ME).
> > >
> > > I think PP can be easily calculated as a stand-alone code by
> >
> > applying a,
> >
> > > say, 1% Zigzag. But how can it be done if I want to add ME as an
> > > additional metric in the Custom Backtester? The Equity() 
function
> >
> > is
> >
> > > used for your trading system and cannot be used for the Zigzag
> >
> > system
> >
> > > at the same time in order to compare both, IMHO. So the only
> >
> > solution I
> >
> > > can think of is to loop through all Zigzag signals and calculate
> >
> > the
> >
> > > profit programmatically. Or am I overlooking something?
> > >
> > > Pardo also suggests to calculate the Remaining Percentage of
> >
> > Degrees of
> >
> > > Freedom (through Used Dgrees of Freedom and Original Degrees of
> > > Freedom). Any idea if and how they can be counted in AFL?
> > >
> > > Regards,
> > >
> > > Thomas
> >
> > ------------------------------------
> >
> > Please note that this group is for discussion between users only.
> >
> > To get support from AmiBroker please send an e-mail directly to
> > SUPPORT {at} amibroker.com
> >
> > For NEW RELEASE ANNOUNCEMENTS and other news always check DEVLOG:
> > http://www.amibroker.com/devlog/
> >
> > For other support material please check also:
> > http://www.amibroker.com/support.html
> > Yahoo! Groups Links
> >
> >
> >
>



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