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RE: [amibroker] Re: more positionsize results I don't understand



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<SPAN 
class=924594718-17092003>fred, I appreciate your patience with me, must be I've 
got a blind spot today... or not...
<SPAN 
class=924594718-17092003> 
<SPAN 
class=924594718-17092003>I shouldn't have brought up total account growth rate 
at all. of course that depends on whether you're inveesting the actual account 
size or ten times that.
<SPAN 
class=924594718-17092003> 
<SPAN 
class=924594718-17092003>and I do understand Tomasz' msg that percentage 
profit shown for each stock is relative to the total account balance. that 
means that if each stock invests 1/10th as much, its percentage return will 
be 1/10th as large.
<SPAN 
class=924594718-17092003> 
<SPAN 
class=924594718-17092003> 
<SPAN 
class=924594718-17092003>but did you look at the individual trades I posted? why 
are only 10% of the profits from the first trade invested in the second trade 
when positionsize is 10%?
<SPAN 
class=924594718-17092003> 
<SPAN 
class=924594718-17092003>it seems to me that this is the reason <SPAN 
class=924594718-17092003>that the dollar return on each individual stock in the 
10% case are disproportionately low, less than 1/10th of the 100% case. the 
entry price, exit price, and percentage price change are the same in both cases. 
what's different is the size of the positions taken -- 90% of any profits made 
don't get reinvested, so they don't compound.
<SPAN 
class=924594718-17092003> 
<SPAN 
class=924594718-17092003>am I making any sense, or still 
deluded?
<SPAN 
class=924594718-17092003> 
<SPAN 
class=924594718-17092003>dave
<SPAN 
class=924594718-17092003> 
<BLOCKQUOTE 
>It's 
  not about POSITIONSIZE ... it's about COMPOUNDING ...AGAIN ... The 
  first situation you described was 10 stocks each of which trade the full 
  account balance .vs. the second situation which was 10 stocks each of 
  which trade 10% of the account balance.This is simple math ... 
  situation #1 compound an order of magnitude faster then situation 
  #2i.e.Situation 1 w/10% gains on each stock means account 
  balance is DOUBLED after the first set of trades, QUADRUPLED after the 
  second set and so on ...Situation 2 w/10% gains has a 10% gain 
  after the first set of trades and 21% after the second set and so 
  on.So after both are done with the first set of trades there's a 10x1 
  ratio in gains, but after the second set the ratio is 20x1 ...--- 
  In amibroker@xxxxxxxxxxxxxxx, "Dave Merrill" <dmerrill@xxxx> 
  wrote:> sorry if I'm being thick, but are you saying that only part 
  of the profits> is reinvested in the 10% case because it's made 
  available to the other> stocks?> > my understanding 
  was that each stock is given the initial fraction of the> account 
  specified by positionsize, then after that, each stock is 
  calculated> independently. they compound their own gains and 
  losses, but gains and> losses from other holdings are irrelevant. 
  is that correct?> > I compared trade lists with 2 stocks and 1 
  stock, both at 100% position, and> for the 1 stock included in both 
  tests, they're identical. if profits from> one stock were available 
  to the other, I'd expect the dollar amount of those> positions to 
  vary, depending to the profitability of the 2nd stock. the fact> 
  that they're the same reinforces my impression that trades for the 
  two> stocks are completely independent.> > if that's 
  the case, my question stands: why are only 10% of the profits from> 
  the first trade used for the second trade when positionsize is 10%?> 
  > apologies again if I'm missing the obvious...> > 
  dave>   I thought my simple math explanation would have 
  sufficed but>   apparently it didn't ...> 
  >   Example 1: You have 10,000 initial equity ... you invest 
  it all in>   XYZ which goes up 10% so you have 100 profit and 
  10,100 total equity>   to reinvest.> 
  >   Example 2: You have 10,000 initial equity ... you invest 
  10% of it or>   1,000 in XYZ which goes up 10% so you 
  have 10 profit and 10,010 to>   reinvest NOT 10,100 because 
  the 10% gain was on the amount invested>   not on the 
  initial equity because 90% of the initial equity was>   
  either still in cash or invested in something else.> 
  >   Fred> >   --- In 
  amibroker@xxxxxxxxxxxxxxx, "Dave Merrill" 
  <dmerrill@xxxx>>   wrote:>   > 
  thanks Tomasz, I realized that the percentage figures must 
  be>   relative to>   > the entire account 
  size.>   >>   > however, the way 
  profits are reinvested if positionsize isn't 100%>   
  seems>   > very strange to me, possibly not what you 
  intend.>   >>   > look at these two 
  trades, the first two in one of the stocks at 100%>   
  > positionsize:>   >>   > 
  Profit      Shares      
  Position>   > 948.62      
  632.41      10,000.00>   > 
  276.68      632.41      
  10,948.60>   >>   > the first trade 
  made $948.62 profit, which the second trade>   invested, 
  taking>   > a $10,948.60 position.>   
  >>   > here's the same two trades with 10% 
  positionsize:>   >>   > 
  Profit      Shares      
  Position>   > 94.86      
  63.24      1,000.00>   > 
  25.51      58.31      
  1,009.49>   >>   > the first trade 
  made $94.86 profit, but the second one invested>   only 10% 
  of>   > that profit, taking a $1,009.49 position. that 
  doesn't make sense>   to me.>   
  >>   >>   > am I off base here? in 
  what situations is this behavior>   appropriate? 
  is>   > there any way to get AB to invest all profits from 
  each stock if>   > positionsize isn't 
  100%?>   >>   > 
  thanks,>   >>   > 
  dave>   >>   >>   
  > > Indeed % results are accurate but always related to total 
  initial>   equity,>   > > 
  regardless of position size you set with each trade. If you 
  have>   > > 90% of equity in cash your percentage 
  risk/drawdown/etc is of>   course 1/10>   
  > > of values that you would expect trading 100% of your 
  funds.>   > >>   > > Best 
  regards,>   > > Tomasz Janeczko>   
  > > amibroker.com> > 
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