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[amibroker] Re: How do I backtest placing a restricted number of limit orders each night?



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Just a quick correction to my previous reply. I have received as many 
as 60 "setups" in one night, not all of which result in 
AmiBroker "signals" on the next trading day (due to limit order not 
being reached).

Similarly, I meant to say that expanding the one position example, 
you will hit the same problem as soon as you have more "setups" than 
available funds.

Sorry for any confusion.

--- In amibroker@xxxxxxxxxxxxxxx, "Mike" <sfclimbers@xxx> wrote:
>
> Tomasz,
> 
> Thank you for your continued replies.
> 
> I am trading in a REAL account in REAL life with 50% margin. Some 
> nights I get few signals, other nights I get many. I trade over 
7000 
> symbols accross NYSE, NASDAQ, and AMEX. I have had as many as 60 
> signals in one night. Even using all available margin, there are 
> sometimes not enough funds to cover the orders.
> 
> Saying that your strategies do not encounter the problem does not 
> imply that the problem does not exist.
> 
> I gave a simplistic one order example just to illustrate the point. 
> Now that you understand the scenario, expand the example to a 10 
> position account using any amount of margin and you hit the exact 
> same issue as soon as you have more signals than available funds.
> 
> Even using the simplistic one position example, I believe that the 
> backtester would still THINK that there were enough funds available 
> to fill the BB signal since it IGNORES funds allocated to the AA 
> order that did not result in a signal. So, I think that your 
comment 
> does not apply here and BB would in fact get filled.
> 
> The underlying problem is that AmiBroker does not appear to have a 
> way to model the fact that the broker will commit funds to orders 
> *placed*, even if those orders do not get *filled*. If I am not 
> mistaken, AmiBroker only considers funds commited to a *filled* 
order 
> (i.e. a signal).
> 
> There are at least 3 other forum members that have written about 
this 
> issue, so the scenario is real.
> 
> Based on my experiments so far, my code will correctly model the 
> scenario described. I was hoping for either A) a better solution, 
or 
> B) validation that the code works for others.
> 
> Thanks,
> 
> Mike
> 
> --- In amibroker@xxxxxxxxxxxxxxx, "Tomasz Janeczko" <groups@> 
> wrote:
> >
> > I disagree completely.
> > I am trading on REAL margin account in REAL life. With 50% margin 
> account
> > I am always able to place limit orders for all signals I am 
getting.
> > 
> > As to "cleaner" solution to theoretical example that you have 
> provided:
> > it is as easy as setting "MaxOpenPositions" to ONE.
> > 
> > You would end up with no position open on Tuesday night (your 
> desired behaviour)  because backtester
> > STOPS opening positions if "top" signal can not enter due to lack 
> of funds.
> > 
> > Best regards,
> > Tomasz Janeczko
> > amibroker.com
> > ----- Original Message ----- 
> > From: "Mike" <sfclimbers@>
> > To: <amibroker@xxxxxxxxxxxxxxx>
> > Sent: Tuesday, September 04, 2007 9:11 PM
> > Subject: [amibroker] Re: How do I backtest placing a restricted 
> number of limit orders each night?
> > 
> > 
> > > Tomasz,
> > > 
> > > 1. Margin does not solve the problem, it just delays it. As 
soon 
> as 
> > > you get one too many setups you hit the same problem again. 
Also, 
> for 
> > > aggressive strategies using full margin, margin will already 
have 
> > > been accounted for when placing the first 10 orders of my 
example.
> > > 
> > > 2. When using a cash account you are not "DONE". Your code will 
> > > accept the top ten *SIGNALS*. The problem is that the trader 
can 
> not 
> > > afford to place all the *ORDERS*. Your system will accept 
signals 
> for 
> > > orders that were *NEVER PLACED*.
> > > 
> > > To make this as simple as possible:
> > > 
> > > Monday day:
> > > - Have $5,000 available cash
> > > - Receive entry setup for AA, BB, CC
> > > - PositionScore for AA > BB > CC
> > > 
> > > Monday night:
> > > - Place Tuesday limit order for $5,000 AA (since highest score)
> > > - Have $0 available cash (broker immediately *reserved* $5,000 
> for AA)
> > > - Can *not* afford to place limit order for BB, CC
> > > 
> > > Tuesday day:
> > > - Limit order for AA *not* met
> > > - Limit for BB *would* have been met, but order was *not* placed
> > > - Limit for CC *would* have been met, but order was *not* placed
> > > 
> > > Tuesday night (YOUR CODE):
> > > - Holding $5,000 of BB  <--- Wrong!
> > > - $0 available cash     <--- Wrong!
> > > 
> > > Tuesday night (REAL LIFE):
> > > - No holdings           <--- Correct
> > > - $5,000 available cash <--- Correct
> > > 
> > > In your code, I would be filled for $5,000 of BB which *I never 
> > > placed an order for*. Your code correctly determined that there 
> was 
> > > only room to buy 1 position (e.g. did not also buy CC), but it 
> used 
> > > funds that were *not available*. All funds were already used up 
> by 
> > > the limit order placed for AA, so the signal for BB was 
> impossible.
> > > 
> > > In my code, the signals for BB and CC would be cancelled since 
> their 
> > > PositionScores are *less* than the top PositionScore (AA) and I 
> only 
> > > had room to place 1 order, regardless of the fact that AA was 
> never 
> > > filled. The system now correctly shows that there was no 
*valid* 
> > > signal for BB and CC.
> > > 
> > > If you have a cleaner way to model this behavior, I would very 
> much 
> > > like to use it.
> > > 
> > > Thanks,
> > > 
> > > Mike
> > > 
> > > --- In amibroker@xxxxxxxxxxxxxxx, "Tomasz Janeczko" <groups@> 
> > > wrote:
> > >>
> > >> Hello,
> > >> 
> > >> In addition to the fact that if you are using MARGIN account 
> this 
> > > is not a problem to place
> > >> 15 orders because they will all be within your buying power 
> > > (including margin),
> > >> there is one more thing:
> > >> if you are using cash account that does not allow buying power 
> 
> > > cash
> > >> the problem you are describing is non-existing. Just define
> > >> SetOption("MaxOpenPositions", 10 ) 
> > >> and you are DONE. The code will accept only TEN TOP entry 
> signals 
> > > and nothing more.
> > >> (And instead of "exploration", you should use "Add artificial 
> > > future bar" in the settings and run BACKTEST
> > >> with  TOMMORROWS date to find out signals for tommorrow).
> > >> 
> > >> Best regards,
> > >> Tomasz Janeczko
> > >> amibroker.com
> > >> ----- Original Message ----- 
> > >> From: "Mike" <sfclimbers@>
> > >> To: <amibroker@xxxxxxxxxxxxxxx>
> > >> Sent: Tuesday, September 04, 2007 7:00 PM
> > >> Subject: [amibroker] Re: How do I backtest placing a 
restricted 
> > > number of limit orders each night?
> > >> 
> > >> 
> > >> > Tomasz,
> > >> > 
> > >> > You are missing the problem.
> > >> > 
> > >> > Yes, setting a limit order is easy. The problem is that in 
> real 
> > > life 
> > >> > the broker will *reserve the funds* necessary to fill a 
limit 
> > > order 
> > >> > *at the time that the order is placed*, even if the order is 
> > > never 
> > >> > filled. If the limit is not reached, the funds will only 
> become 
> > >> > available again *after* the close of the bar.
> > >> > 
> > >> > Using portfolio constraints, the sample that you have 
provided 
> > > can be 
> > >> > made to ensure that only 10 orders are *filled*. But, it 
> assumes 
> > > that 
> > >> > limit orders were *placed* for all setups. That is not 
> realistic.
> > >> > 
> > >> > So, if I have $50,000, I can only place 10 limit orders of 
> $5,000 
> > >> > each. If I receive more than 10 setups from the previous 
bar, 
> > > then I 
> > >> > do not have enough funds to place orders for all of them and 
> must 
> > >> > choose the top 10 of 15.
> > >> > 
> > >> > Since we can only place *some* limit orders, the trading 
> system 
> > > must 
> > >> > recognize *which* limit orders were placed, and ignore the 
> rest.
> > >> > 
> > >> > To repeat, if I have only placed limit orders for the top 10 
> > > setups, 
> > >> > then if the limit is not reached for any of those 10, I will 
> have 
> > > 0 
> > >> > positions filled. The price action of the remaining 5 is 
> > >> > irrelevant. I could not afford to place orders on all 15, so 
> my 
> > >> > system must reflect that any fills of the remaining 5 *were 
> never 
> > >> > placed* and must be cancelled.
> > >> > 
> > >> > Is there a better way to model this behavior?
> > >> > 
> > >> > Thanks,
> > >> > 
> > >> > Mike
> > >> > 
> > >> > --- In amibroker@xxxxxxxxxxxxxxx, "Tomasz Janeczko" 
<groups@> 
> > >> > wrote:
> > >> >>
> > >> >> Solution was provided before. It does not require any 
custom 
> > >> > backtest code
> > >> >> and is actually easy.
> > >> >> I repeat:
> > >> >> 
> > >> >> LimitPrice = 
> > >> >> Buy = your original buy rule
> > >> >> 
> > >> >> SetTradeDelays( 0, 0, 0, 0 ); // we use zero delays but we 
> use 
> > > Ref
> > >> > () to shift buy signal.
> > >> >> 
> > >> >> Buy = Ref( Buy, -1 ) AND Low < LimitPrice; // this handles 
> LIMIT 
> > >> > order
> > >> >> BuyPrice = Min( Open, LimitPrice ); // this ensures 
> limitprice 
> > > is 
> > >> > used for entry or the Open price if it is lower than limit
> > >> >> 
> > >> >> SetBacktestMode( backtestRegularRaw ); // this makes sure 
> that 
> > >> > repeated signals occuring on many bars in sequence are not 
> ignored
> > >> >> 
> > >> >> 
> > >> >> You don't need to do anything as convoluted as you are 
> > > apparently 
> > >> > doing in your formula
> > >> >> as the code ABOVE handles placing limit orders (which are 
> only 
> > >> > executed if
> > >> >> price penetrates your desired limit level).
> > >> >> 
> > >> >> Best regards,
> > >> >> Tomasz Janeczko
> > >> >> amibroker.com
> > >> >> ----- Original Message ----- 
> > >> >> From: "Mike" <sfclimbers@>
> > >> >> To: <amibroker@xxxxxxxxxxxxxxx>
> > >> >> Sent: Tuesday, September 04, 2007 9:08 AM
> > >> >> Subject: [amibroker] Re: How do I backtest placing a 
> restricted 
> > >> > number of limit orders each night?
> > >> >> 
> > >> >> 
> > >> >> > Hi, I am submitting the following code for comment. I 
> believe 
> > >> > that I 
> > >> >> > have a generic solution for the "fixed number of 
> conditional 
> > >> > orders 
> > >> >> > on next bar" problem.
> > >> >> > 
> > >> >> > Constructive criticism is welcomed. Please feel free to 
> point 
> > > out 
> > >> > any 
> > >> >> > bugs, inefficiencies, suggested enhancements, etc.
> > >> >> > 
> > >> >> > If this is deemed valuable, I can clean up the formatting 
> and 
> > > add 
> > >> > it 
> > >> >> > to the files section.
> > >> >> > 
> > >> >> > Mike
> > >> >> > 
> > >> >> > Problem Statement:
> > >> >> > ------------------
> > >> >> > Need programatic support for simulating the placement of 
a 
> > > fixed 
> > >> >> > number of prioritized *conditional* orders at the next 
bar, 
> in 
> > >> >> > response to one or more favorable "setups" triggered by 
the 
> > >> > current 
> > >> >> > bar, and constrained by the number of positions permitted 
> by 
> > > the 
> > >> >> > strategy.
> > >> >> > 
> > >> >> > Example:
> > >> >> > --------
> > >> >> > Consider a strategy that calls for the placement of limit 
> > > orders 
> > >> > at 
> > >> >> > the next bar after recognizing one or more favorable 
setups 
> on 
> > >> > the 
> > >> >> > current bar. Assume that the strategy allows a maximum of 
> only 
> > > 10 
> > >> >> > open positions at any given time, and that the setups are 
> > >> > prioritized 
> > >> >> > from most preferred (position 1) to least preferred 
> (position 
> > > 10).
> > >> >> > 
> > >> >> > If on the first day of the strategy 20 favorable setups 
> were 
> > >> >> > recognized, then the strategy would call for placing 
limit 
> > > orders 
> > >> > at 
> > >> >> > the next bar for *only* the top 10 preferred setups 
(since 
> > > only 
> > >> > 10 
> > >> >> > positions are permitted and we can not know in advance 
> whether 
> > >> > any or 
> > >> >> > all of the 10 orders would actually get filled).
> > >> >> > 
> > >> >> > Similarly, if at some point after starting the strategy 
we 
> > > found 
> > >> >> > ourself with 2 currently open positions and received 20 
> > > setups, 
> > >> > we 
> > >> >> > would place 8 (10 - 2 = 8) limit orders for the top 8 
> > > preferred 
> > >> >> > setups.
> > >> >> > 
> > >> >> > Complications
> > >> >> > -------------
> > >> >> > 1. Using PositionScore and position sizing is not 
> sufficient 
> > >> > since 
> > >> >> > they do not recognize the allocation of funds commited to 
> > >> >> > *conditional* order placements that do *not* get filled. 
> > >> > Resulting 
> > >> >> > code would typically continue to attempt to fill 
allowable 
> > >> > position 
> > >> >> > count despite not having enough funds to cover all 
possible 
> > >> > setups.
> > >> >> > 
> > >> >> > 2. Script execution for any given symbol does not have 
> access 
> > > to 
> > >> > the 
> > >> >> > PositionScore of the remaining symbols.
> > >> >> > 
> > >> >> > 3. Custom backtester object does not have access to the 
> > >> > PositionScore 
> > >> >> > of any symbol that did *not* result in a generated trade 
> > > signal 
> > >> > (i.e. 
> > >> >> > if a limit order was not met, the custom backtester would 
> not 
> > >> > have a 
> > >> >> > signal object for that conditional placement, and thus 
> would 
> > > not 
> > >> > have 
> > >> >> > access to the PositionScore of the unsuccessful order).
> > >> >> > 
> > >> >> > Solution
> > >> >> > --------
> > >> >> > 1. Generate a "composite" symbol for each allowable 
> position 
> > > of 
> > >> > the 
> > >> >> > strategy (e.g. for a strategy allowing a maximum of 10 
open 
> > >> >> > positions, geneare composites ~Position1, 
~Position2, ..., 
> > >> >> > ~Position10).
> > >> >> > 
> > >> >> > 2. At each bar of each symbol, calculate a PositionScore 
> for 
> > > any 
> > >> >> > conditional order based on the recognition of a setup on 
> the 
> > >> > previous 
> > >> >> > bar (e.g. PositionScore for a limit order in response to 
a 
> > >> > recognized 
> > >> >> > setup the bar before). Note that this is a PositionScore 
> for 
> > > the 
> > >> >> > *conditional* order which *may or may not* have been 
> filled. 
> > > If 
> > >> > no 
> > >> >> > setup was recognized in the previous bar the 
PositionScore 
> > > would 
> > >> > be 
> > >> >> > zero.
> > >> >> > 
> > >> >> > 3. Insert, in a sorted manner, the calculated 
PositionScore 
> > > into 
> > >> > the 
> > >> >> > appropriate composite, bumping down in a chain reaction 
any 
> > >> > current 
> > >> >> > composite occupants as needed.
> > >> >> > 
> > >> >> > For example; if the PositionScore for the current symbol 
at 
> > > the 
> > >> >> > current bar was found to be less than the value held by 
> > >> > ~Position1 
> > >> >> > for that bar, the comparrison would next be made against 
> > >> > ~Position2. 
> > >> >> > If the PositionScore was found to be greater than the 
value 
> > > held 
> > >> > by 
> > >> >> > ~Position2 for that bar, then the value for that bar of 
> > >> > ~Position2 
> > >> >> > would be replaced (bumped) by PositionScore, and the 
value 
> > > that 
> > >> > had 
> > >> >> > been in ~Position2 would be moved down to ~Position3 for 
> that 
> > >> > same 
> > >> >> > bar, bumping down any value held by ~Position3 in a chain 
> > >> > reaction 
> > >> >> > until a zero composite value was found (i.e. nothing to 
> bump) 
> > > or 
> > >> > all 
> > >> >> > composites had been updated.
> > >> >> > 
> > >> >> > e.g. given:
> > >> >> > 
> > >> >> > PositionScore[x] is 99 and;
> > >> >> > 
> > >> >> > ~Position1[x] is 100
> > >> >> > ~Position2[x] is  50
> > >> >> > ~Position3[x] is  49
> > >> >> > ~Position4[x] is   0
> > >> >> > ...
> > >> >> > ~Position10[x] is  0
> > >> >> > 
> > >> >> > Result after insertion would be:
> > >> >> > 
> > >> >> > ~Position1[x] is 100
> > >> >> > ~Position2[x] is  99
> > >> >> > ~Position3[x] is  50
> > >> >> > ~Position4[x] is  49
> > >> >> > ~Position5[x] is   0
> > >> >> > ...
> > >> >> > ~Position10[x] is  0
> > >> >> > 
> > >> >> > 4. Write custom backtester logic to calculate, at each 
bar, 
> > > how 
> > >> > many 
> > >> >> > open positions exist, and reset to 0 the PosSize of any 
> Signal 
> > >> > whose 
> > >> >> > PositionScore is *less* than the PositionScore held by 
the 
> N-
> > > th 
> > >> >> > composite, where N is calculated as max allowed positions 
> > > minus 
> > >> > the 
> > >> >> > number of currently opened positions (e.g. 10 max 
> positions - 
> > > 2 
> > >> > open 
> > >> >> > positions = composite ~Position8). This emulates not 
having 
> > >> > placed 
> > >> >> > orders for any but the top N preferred setups.
> > >> >> > 
> > >> >> > 5. Leave to the native backtester all other decisions 
> > > regarding 
> > >> > enty 
> > >> >> > into positions and tie-breaking of equal PositionScore.
> > >> >> > 
> > >> >> > Advantages
> > >> >> > ----------
> > >> >> > 1. Works generically for any conditional strategy, Long 
or 
> > > Short*.
> > >> >> > 2. Works equally well for scale-in strategies.
> > >> >> > 3. Makes no assumptions regarding Buy/Sell rules.
> > >> >> > 4. Does not result in any phantom/artificial trades.
> > >> >> > 5. Does not generate any phantom/artificial commisions.
> > >> >> > 6. Does not depend on any backtester settings "tweaks".
> > >> >> > 7. PositionScore data is available at all times for 
> additional 
> > >> >> > analysis.
> > >> >> > 
> > >> >> > * Backtester logic must be custom fit to your strategy, 
but 
> > >> >> > persistence of scores is generic to all.
> > >> >> > 
> > >> >> > Disadvantages
> > >> >> > -------------
> > >> >> > 1. Slower execution resulting from heavy looping (loops N 
> > > times 
> > >> > more 
> > >> >> > than alternative proposed in msg #113384, where N equals 
> > > maximum 
> > >> >> > allowed positions).
> > >> >> > 
> > >> >> > For example; A strategy backtested 3 months over 7800+ 
> symbols 
> > >> > using 
> > >> >> > 10 allowed positions on a 1.4Ghz laptop with 1GB RAM 
takes 
> > > about 
> > >> > 10 
> > >> >> > minutes.
> > >> >> > 
> > >> >> > 2. Code is more complex than alternative proposed in msg 
> > > #113384.
> > >> >> > 
> > >> >> > -----
> > >> >> > ----- Sample code snippets for your review (Long only)
> > >> >> > ----- I have left in _TRACE statements to see what's 
> happening
> > >> >> > -----
> > >> >> > 
> > >> >> > /*
> > >> >> > * Carry fixed number of positions, equally divided.
> > >> >> > */
> > >> >> > maxPositions = 10;
> > >> >> > PositionSize = -100/maxPositions;
> > >> >> > SetOption("MaxOpenPositions", maxPositions);
> > >> >> > 
> > >> >> > /*
> > >> >> > * Custom backtester implementation to strip out orders 
that 
> in
> > >> >> > * reality would not have been placed due to a limitation 
of
> > >> >> > * available capital to cover bids on all setups.
> > >> >> > *
> > >> >> > * Note: This implementation assumes Long positions only!
> > >> >> > */
> > >> >> > SetCustomBacktestProc("");
> > >> >> > 
> > >> >> > if (Status("action") == actionPortfolio) {
> > >> >> >  bo = GetBacktesterObject();
> > >> >> >  bo.PreProcess();
> > >> >> > 
> > >> >> >  for (bar = 0; bar < BarCount; bar++) {
> > >> >> >    openCount = 0;
> > >> >> > 
> > >> >> >    for (openPos = bo.GetFirstOpenPos();
> > >> >> >         openPos;
> > >> >> >         openPos = bo.GetNextOpenPos())
> > >> >> >    {
> > >> >> >      openCount++;
> > >> >> >    }
> > >> >> > 
> > >> >> >    minPos = maxPositions - openCount;
> > >> >> >    posScores = IIF(minPos,
> > >> >> >                    Foreign("~Position" + minPos, "X", 0),
> > >> >> >                    9999); // Highest possible score!
> > >> >> > 
> > >> >> >    for (sig = bo.GetFirstSignal(bar);
> > >> >> >         sig;
> > >> >> >         sig = bo.GetNextSignal(bar))
> > >> >> >    {
> > >> >> >      if (sig.IsEntry() AND sig.IsLong()) {
> > >> >> >        if (sig.PosScore < posScores[bar]) {
> > >> >> >          /*_TRACE(StrFormat("Score %9.4f less than top %
> 1.0f 
> > >> > scores 
> > >> >> > of %9.4f at bar %5.0f, cancel signal for ", sig.PosScore, 
> > > minPos, 
> > >> >> > posScores[bar], bar) + sig.Symbol);*/
> > >> >> > 
> > >> >> >          // Order would not have been placed, cancel it 
out.
> > >> >> >          sig.PosSize = 0;
> > >> >> >        }
> > >> >> >      }
> > >> >> >    }
> > >> >> > 
> > >> >> >    bo.ProcessTradeSignals(bar);
> > >> >> >  }
> > >> >> > 
> > >> >> >  bo.PostProcess();
> > >> >> > }
> > >> >> > 
> > >> >> > /*
> > >> >> > * For each bar following entry setup, persist 
PositionScore 
> > > into 
> > >> > an
> > >> >> > * ordered list of Foreign symbols such that we may later 
> have 
> > >> > access
> > >> >> > * to the top scores during backtesting, regardless of 
> whether 
> > > a 
> > >> >> > * concrete signal for the ranked symbol is actually 
found. 
> See 
> > >> >> > * custom backtester method for filtering logic.
> > >> >> > *
> > >> >> > * For example; a 10 position, limit order strategy 
> currently 
> > >> > holding
> > >> >> > * 2 positions might place limit orders for only the top 8 
> > > setups, 
> > >> >> > * despite recognizing more than 8 candidate setups. This 
> > > method 
> > >> >> > * would sort the PositionScore of all candidate setups 
into 
> 10
> > >> >> > * foreign symbols, regardless of whether or not the limit 
> > > order 
> > >> > was
> > >> >> > * met. The backtester would then compare the 
PositionScore 
> of 
> > > all
> > >> >> > * filled signals (i.e. all signals of the limit price 
> having 
> > > been 
> > >> >> > * met), and cancel out those whose score was less than 
the 
> top 
> > > 8 
> > >> >> > * scores found in the Foreign symbols (i.e. cancel out 
> signals 
> > >> > for 
> > >> >> > * those symbols upon which, in reality, a limit order 
would 
> > > never 
> > >> >> > * actually have been placed).
> > >> >> > *
> > >> >> > * Note: This implementation leaves the responsibility of 
> tie-
> > >> >> > * breaking to the backtester, when multiple symbols have 
> the 
> > > same 
> > >> >> > * PositionScore for a limited number of available 
> positions. 
> > > The 
> > >> >> > * symbol selected by the backtester may not be the one 
for 
> > > which 
> > >> > an 
> > >> >> > * order was actually placed in real life. But, the symbol 
> > >> > selected 
> > >> >> > * is guaranteed to at least have an equivalent 
> PositionScore. 
> > > Use
> > >> >> > * unique PosittionScore values, or trade in real life 
using 
> > > the 
> > >> > same
> > >> >> > * tie-breaking logic that AmiBroker uses :)
> > >> >> > *
> > >> >> > * Note: This implementation assumes that PositionScore 
will 
> be 
> > >> >> > * either zero, for bars not recognized as following order 
> > >> > placement 
> > >> >> > * criteria (i.e. no setup from previous bar), or a non 
zero 
> > >> > positive
> > >> >> > * number, for bars where order placement criteria has 
been 
> > > met. To
> > >> >> > * reiterate, this refers to order *placement* criteria 
> (i.e. 
> > >> > setup),
> > >> >> > * not order *fulfillment*.
> > >> >> > */
> > >> >> > procedure persistScores(scores) {
> > >> >> >  local maxPositions; // Max positions allowed in portfolio
> > >> >> >  local empty;        // Array of zeros
> > >> >> >  local bar;          // Loop variable
> > >> >> >  local score;        // PositionScore of bar-th bar
> > >> >> >  local pos;          // Loop variable
> > >> >> >  local composite;    // Name of pos-th composite
> > >> >> >  local posScores;    // Scores persisted to composite
> > >> >> >  local delta;        // Delta between PositionScore and 
> > > composite
> > >> >> >  local affected;     // Flag whether any deltas were added
> > >> >> > 
> > >> >> >  maxPositions = GetOption("MaxOpenPositions");
> > >> >> >  empty = Cum(0);
> > >> >> > 
> > >> >> >  for (pos = 1; pos <= maxPositions; pos++) {
> > >> >> >    /*_TRACE("Persist " + Name() + " to position " + 
pos);*/
> > >> >> >    composite = "~Position" + pos;
> > >> >> >    AddToComposite(0, composite, "X", 1 + 2 + 4 + 8);  // 
> > >> > Initialize
> > >> >> >    posScores = Foreign(composite, "X", 0);  // Do not 
fill 
> > > holes!
> > >> >> >    delta = empty;
> > >> >> >    affected = false;
> > >> >> > 
> > >> >> >    for (bar = 0; bar < BarCount; bar++) {
> > >> >> >      if (scores[bar]) {
> > >> >> >        score = scores[bar];
> > >> >> > 
> > >> >> >        if (score > posScores[bar]) {
> > >> >> >          /*_TRACE(StrFormat("Score %9.4f bumps down 
> position %
> > >> > 1.0f 
> > >> >> > score of %9.4f at bar %5.0f", score, pos, posScores[bar], 
> > > bar));*/
> > >> >> > 
> > >> >> >          // Grab current best value and hold for next 
> composite
> > >> >> >          // iteratation, and calculate delta needed to 
add 
> to 
> > >> >> >          // this composite in order to make it equal new 
> high 
> > >> > score
> > >> >> > 
> > >> >> >          scores[bar] = posScores[bar];
> > >> >> >          delta[bar] = score - posScores[bar];
> > >> >> >          affected = true;
> > >> >> >        }
> > >> >> >        /*else if (posScores[bar]) _TRACE(StrFormat("Score 
%
> > > 9.4f 
> > >> >> > blocked by position %1.0f score of %9.4f at bar %5.0f", 
> score, 
> > >> > pos, 
> > >> >> > posScores[bar], bar));*/
> > >> >> >      }
> > >> >> >    }
> > >> >> > 
> > >> >> >    if (affected) {
> > >> >> >      AddToComposite(delta, composite, "X", 1 + 2 + 4 + 8);
> > >> >> >    }
> > >> >> >  }
> > >> >> > 
> > >> >> >  /*_TRACE("\n");*/
> > >> >> > }
> > >> >> > 
> > >> >> > setup = ...                  // Some setup recognition 
logic
> > >> >> > Buy = Ref(setup, -1) AND ... // Some conditional entry 
logic
> > >> >> > PositionScore = IIF(Ref(setup, -1), ..., 0); // Some 
score 
> > > logic 
> > >> > or 0
> > >> >> > Sell = ...                   // Some Sell logic
> > >> >> > 
> > >> >> > persistScores(PositionScore);
> > >> >> > 
> > >> >> > /*
> > >> >> > * Example of 5% dip limit conditional entry:
> > >> >> > *   BuyPrice = min(Open, (Ref(Close, -1) * 0.95));
> > >> >> > *   Buy = Ref(setup, -1) AND Low <= BuyPrice;
> > >> >> > */
> > >> >> > 
> > >> >> > ------
> > >> >> > ------ End code snippets
> > >> >> > ------
> > >> >> > 
> > >> >> > --- In amibroker@xxxxxxxxxxxxxxx, "ed2000nl" 
<empottasch@> 
> > > wrote:
> > >> >> >>
> > >> >> >> i'll try to reply directly from yahoo. My posts aren't 
> coming 
> > >> >> > through
> > >> >> >> anymore. Might be because of the ISP ...
> > >> >> >> 
> > >> >> >> 
> > >> >> >> so if I understand correctly the problem is not that the 
> > >> > backtester
> > >> >> >> picks  20 stocks while there is only money for 10 but 
you 
> > > have a 
> > >> >> > problem
> > >> >> >> with the fact  that if the 10 actual signals are not 
> filled 
> > > it 
> > >> > will 
> > >> >> > use
> > >> >> >> the lower ranking 10  signals and this is not what you 
> > > want.   
> > >> > You 
> > >> >> > can
> > >> >> >> include this in the backtester. I explained the same 
thing 
> > > some  
> > >> >> > time
> > >> >> >> ago. For signals that you actually want to enter but in 
> real 
> > >> > life 
> > >> >> > will
> > >> >> >> not  be entered because the limit is not reached then 
you 
> can 
> > >> > tell 
> > >> >> > the
> > >> >> >> backtester to  enter at the open and exit at the open 
and 
> do 
> > > not 
> > >> >> > allow
> > >> >> >> for a single bar trade  (in the settings window).   
There 
> > > might 
> > >> > be
> > >> >> >> easier ways to do this (I mean using arrays only) but I 
> have  
> > >> > some
> > >> >> >> example code below. I did not check if the code is 
> entirely 
> > >> > correct 
> > >> >> > but 
> > >> >> >> I'll explain the idea: The Buy array is fed to the 
> > > sellAtLimit 
> > >> >> > procedure
> > >> >> >> and  when it finds a buy it will check if the buy limit 
is 
> > >> > reached 
> > >> >> > for
> > >> >> >> that signal.  If it is not reached (so if Low[ i ] >= 
> buyLimit
> > > [ 
> > >> >> > i ] )
> > >> >> >> then you tell the backtester to  enter and exit at the 
> same 
> > >> > price, 
> > >> >> > same
> > >> >> >> bar. What happens is that the backtester  reserves this 
> money 
> > >> > for 
> > >> >> > this
> > >> >> >> trade and will not use it for another trade. The  only 
> thing 
> > >> > that 
> > >> >> > is not
> > >> >> >> realistic is that you will pay commission. But this 
will  
> be 
> > > a 
> > >> > small
> > >> >> >> factor.   rgds, Ed     procedure 
> > >> >> >> sellAtLimit_proc(Buy,BuyPrice,buyLimit,sellLimit) {
> > >> >> >> 
> > >> >> >> global Sell;
> > >> >> >> global SellPrice;
> > >> >> >> global BuyAdjusted;
> > >> >> >> global BuyPriceAdjusted;
> > >> >> >> 
> > >> >> >> 
> > >> >> >> // initialise arrays
> > >> >> >> SellPrice = 0;
> > >> >> >> Sell = 0;
> > >> >> >> BuyAdjusted =  0;
> > >> >> >> BuyPriceAdjusted = 0;
> > >> >> >> 
> > >> >> >> for (i = 1; i  < BarCount; i++) {
> > >> >> >> 
> > >> >> >> 
> > >> >> >>     // case where it is likely to enter a  long position
> > >> >> >>     if (Buy[ i ] == 1  AND Low[ i ] < buyLimit[ i ]) {
> > >> >> >> 
> > >> >> >> 
> > >> >> >>        // buy at limit
> > >> >> >>        BuyAdjusted[ i ]  = 1;
> > >> >> >> 
> > >> >> >>        if  (Open[ i ] < buyLimit[ i ]) {
> > >> >> >> 
> > >> >> >> 
> > >> >> >>           BuyPriceAdjusted[ i ] = Open[ i ];
> > >> >> >> 
> > >> >> >>        } else {
> > >> >> >> 
> > >> >> >>           BuyPriceAdjusted[ i ] =  buyLimit[ i ];
> > >> >> >> 
> > >> >> >>        }
> > >> >> >> 
> > >> >> >> 
> > >> >> >>        // find a sell position + sellprice
> > >> >> >>        for (j = i; j < BarCount; j++) {
> > >> >> >> 
> > >> >> >>           if (O[ j ] > sellLimit[ j ]) {
> > >> >> >> 
> > >> >> >>              Sell[ j ] = 1;
> > >> >> >>              SellPrice[ j ] = O[ j ];
> > >> >> >>              i = j;
> > >> >> >>              break;
> > >> >> >> 
> > >> >> >>           } else if (O[ j ] < sellLimit[ j ]  AND H[ j ] 
> 
> > >> > sellLimit
> > >> >> > [ j
> > >> >> >> ]) {
> > >> >> >> 
> > >> >> >>              Sell[ j ] = 1;
> > >> >> >>              SellPrice[ j ] = sellLimit[ j  ];
> > >> >> >>              i = j;
> > >> >> >>              break;
> > >> >> >> 
> > >> >> >>           } else  if (j ==  BarCount -  1) {
> > >> >> >> 
> > >> >> >>              i = BarCount;
> > >> >> >> 
> > >> >> >>           }
> > >> >> >> 
> > >> >> >> 
> > >> >> >> 
> > >> >> >> 
> > >> >> >> 
> > >> >> >>        }
> > >> >> >> 
> > >> >> >>     } else if  (Buy[ i ] ==  1 AND Low[ i ] >= buyLimit[ 
> i ]) 
> > > {
> > >> >> >> 
> > >> >> >>        // enter and exit at the same price and  time 
> ("VOID" 
> > >> > trade)
> > >> >> >>        BuyAdjusted[ i ] = 1;
> > >> >> >>        BuyPriceAdjusted[ i ] = Open[ i ];
> > >> >> >> 
> > >> >> >>        Sell[ i ] = 1;
> > >> >> >>        SellPrice[ i ] = Open[ i ];
> > >> >> >> 
> > >> >> >> 
> > >> >> >>     }
> > >> >> >> 
> > >> >> >> }
> > >> >> >> 
> > >> >> >> 
> > >> >> >> } // end  procedure
> > >> >> >> 
> > >> >> >> 
> > >> >> >> --- In amibroker@xxxxxxxxxxxxxxx, "sfclimbers" 
> <sfclimbers@> 
> > >> > wrote:
> > >> >> >> >
> > >> >> >> > Thanks for your reply. I will look into your 
suggestion, 
> > > but I 
> > >> >> > don't
> > >> >> >> > think that that is the issue that I am up against. I 
> have 
> > >> > actual
> > >> >> >> > trade data from months of live trading. I am now 
trying 
> to 
> > >> >> > backtest
> > >> >> >> > the strategy used, and match the results to the actual 
> data.
> > >> >> >> >
> > >> >> >> > My script, as written, is correctly entering and 
exiting 
> > > with 
> > >> > the
> > >> >> >> > correct number of shares and correct price points on 
all 
> > > the 
> > >> >> > correct
> > >> >> >> > days for all the trades that actually took place.
> > >> >> >> >
> > >> >> >> > The problem is that if I receive 20 "go long" signals 
on 
> > > Monday
> > >> >> >> > night, but only have enough money to afford 8 more 
> > > positions, 
> > >> >> > then in
> > >> >> >> > real life I only place limit orders for the *top* 8 of 
> the 
> > > 20
> > >> >> >> > candidates, not all 20.
> > >> >> >> >
> > >> >> >> > This means that in reality, if none of the top 8 dip 
to 
> my 
> > >> > limit
> > >> >> >> > order, then I will not get any fills on Tuesday, even 
> > > though I 
> > >> >> > still
> > >> >> >> > have not filled my slots, and even though some of the 
> lesser
> > >> >> >> > candidates would have resulted in a fill had I place 
an 
> > > order 
> > >> > for
> > >> >> >> > them.
> > >> >> >> >
> > >> >> >> > However, the script is considering *all* 20 
candidates, 
> and 
> > >> > fills 
> > >> >> > up
> > >> >> >> > to 8 that dip enough to trigger a limit order. In 
other 
> > > words, 
> > >> > the
> > >> >> >> > script assumes that there are limit orders on all 
> > > candidates 
> > >> >> > instead
> > >> >> >> > of only the top 8.
> > >> >> >> >
> > >> >> >> > Using position score and position sizing is not 
enough, 
> > > since 
> > >> >> > these
> > >> >> >> > assume that the universe of candidates fitting the 
> criteria 
> > > is 
> > >> >> > always
> > >> >> >> > available for prioritizing and filling available 
slots. 
> > > But, in
> > >> >> >> > reality, only a subset are being bid on.
> > >> >> >> >
> > >> >> >> > As an example, if I'm currently holding:
> > >> >> >> > AAA, BBB
> > >> >> >> >
> > >> >> >> > And I then get signals for (in sorted order):
> > >> >> >> > CCC, DDD, EEE, FFF, GGG, HHH, III, JJJ, KKK, LLL, ... 
TTT
> > >> >> >> >
> > >> >> >> > I will only place limit orders for the top 8:
> > >> >> >> > CCC, DDD, EEE, FFF, GGG, HHH, III, JJJ
> > >> >> >> >
> > >> >> >> > If none of the top 8 above reach my limit, but say 8 
> lesser 
> > >> > ones 
> > >> >> > do
> > >> >> >> > (that I did not bid on), then in real life I will get 
no 
> > > fills 
> > >> > for
> > >> >> >> > the day. However, my script is saying that I picked up 
> the 
> > > 8 
> > >> >> > lesser
> > >> >> >> > fills since I had 8 slots open and these 8 met the 
limit 
> > > price.
> > >> >> >> >
> > >> >> >> > How can I structure my code to recognize that 20 entry 
> > > setups 
> > >> > were
> > >> >> >> > found, but only 8 of them were acted upon, none of 
which 
> > >> > actually
> > >> >> >> > worked out due to not meeting the limit price?
> > >> >> >> >
> > >> >> >> > I can't seem to use the custom backtester to sweep 
> through 
> > > the 
> > >> >> > orders
> > >> >> >> > and null out the false buys that would not have taken 
> > > place, 
> > >> >> > since I
> > >> >> >> > don't have access to the scores of the candidates that 
> > > didn't 
> > >> > get
> > >> >> >> > filled.
> > >> >> >> >
> > >> >> >> > Yet, similarly, I can't seem to prevent triggering the 
> buys 
> > > in 
> > >> > the
> > >> >> >> > first place, since I don't have access to the scores 
of 
> the 
> > >> > other
> > >> >> >> > candidates at that time either.
> > >> >> >> >
> > >> >> >> > When there are fewer signals than slots to fill, 
> everything 
> > > is
> > >> >> >> > great :) But this strategy often results in more 
signals 
> > > than 
> > >> >> > there
> > >> >> >> > is money to bid with :(
> > >> >> >> >
> > >> >> >> > Thanks.
> > >> >> >> >
> > >> >> >> >
> > >> >> >> > --- In amibroker@xxxxxxxxxxxxxxx, "Edward Pottasch" 
> > > empottasch@
> > >> >> >> > wrote:
> > >> >> >> > >
> > >> >> >> > > hi,
> > >> >> >> > >
> > >> >> >> > > the way you set it up it shoudl not be possible. 
> However, 
> > >> > what 
> > >> >> > can
> > >> >> >> > happen is that the backtester finds exits for the next 
> day 
> > > and
> > >> >> >> > immediatelly fills them with new positions. So you 
need 
> to 
> > >> > make 
> > >> >> > sure
> > >> >> >> > that you first exit your positions and tell the 
> backtester 
> > > to 
> > >> >> > enter
> > >> >> >> > only on the next bar. This is usually the problem.  
> There 
> > > are 
> > >> >> > several
> > >> >> >> > ways to achieve this. Maybe you will get a more 
> > > satisfactory 
> > >> >> > result
> > >> >> >> > when you set settradedelays(1,1,1,1).
> > >> >> >> > >
> > >> >> >> > > I use setttradedelays(0,0,0,0) but I make sure that 
> the 
> > >> > trade is
> > >> >> >> > entered 1 bar after the signal (same with the exits),
> > >> >> >> > >
> > >> >> >> > > Ed
> > >> >> >> > >
> > >> >> >> > >
> > >> >> >> > >
> > >> >> >> > >
> > >> >> >> > >   ----- Original Message -----
> > >> >> >> > >   From: Michael White
> > >> >> >> > >   To: amibroker@xxxxxxxxxxxxxxx
> > >> >> >> > >   Sent: Friday, August 24, 2007 11:37 AM
> > >> >> >> > >   Subject: [amibroker] How do I backtest placing a 
> > > restricted
> > >> >> >> > number of limit orders each night?
> > >> >> >> > >
> > >> >> >> > >
> > >> >> >> > >   Can anyone help me model the following scenario?
> > >> >> >> > >
> > >> >> >> > >   - Assume a portfolio is allowed to consist of some 
> > > fixed 
> > >> >> > number
> > >> >> >> > >   of "slots" with equity equally divided among them 
> (e.g. 
> > > 10 
> > >> >> > slots
> > >> >> >> > at
> > >> >> >> > >   10% of equity).
> > >> >> >> > >   - Check for setup criteria at close of each day.
> > >> >> >> > >   - Place next day limit buy orders for as many 
> unfilled 
> > >> > slots 
> > >> >> > as
> > >> >> >> > are
> > >> >> >> > >   currently available (e.g. if already have 2 fills 
> after 
> > >> > day 1,
> > >> >> >> > then
> > >> >> >> > >   there are only 10 - 2 = 8 slots remaining for day 
2, 
> > > etc.).
> > >> >> >> > >   - Buy orders are prioritized by a calculated value.
> > >> >> >> > >
> > >> >> >> > >   My problem is that if I receive a setup for more 
> > > symbols 
> > >> > than 
> > >> >> > I
> > >> >> >> > have
> > >> >> >> > >   available slots (e.g. receive 20 setups but only 
> have 8 
> > >> >> > available
> > >> >> >> > >   slots), my script will try to fill all 8 slots 
from 
> the 
> > > 20
> > >> >> >> > >   candidates, and the portfolio manager will 
correctly 
> > >> > prevent 
> > >> >> > me
> > >> >> >> > from
> > >> >> >> > >   having more positions than allowed (e.g. no more 
> than 
> > > 10).
> > >> >> >> > >
> > >> >> >> > >   However, in reality, I will only have placed as 
many 
> > > limit 
> > >> >> > orders
> > >> >> >> > as
> > >> >> >> > >   I have available slots (e.g. 8 limit orders when 8 
> > >> > available
> > >> >> >> > slots,
> > >> >> >> > >   not limit orders for all 20 candidates, since I 
only 
> > > have 
> > >> >> > funds
> > >> >> >> > to
> > >> >> >> > >   cover placing 8 orders).
> > >> >> >> > >
> > >> >> >> > >   What is happening is that my script is filling 
> orders 
> > > that 
> > >> > I
> > >> >> >> > would
> > >> >> >> > >   not have placed! I need a way to indicate that 
> despite 
> > > 20 
> > >> >> > setups,
> > >> >> >> > >   only 8 limit orders were placed.
> > >> >> >> > >
> > >> >> >> > >   Following is some script snippets.
> > >> >> >> > >
> > >> >> >> > >   /*
> > >> >> >> > >   * Assume an initial purse and brokerage fees 
> > > ($0.01/share)
> > >> >> >> > >   */
> > >> >> >> > >   SetOption("InitialEquity", 50000);
> > >> >> >> > >   SetOption("CommissionMode", 3);
> > >> >> >> > >   SetOption("CommissionAmount", 0.01);
> > >> >> >> > >
> > >> >> >> > >   /*
> > >> >> >> > >   * Carry fixed number of positions, dividing 100% 
of 
> > > Equity 
> > >> >> > between
> > >> >> >> > >   * them (based on previous bar's closing).
> > >> >> >> > >   */
> > >> >> >> > >   PositionSize = -100/10; // Each position is 10% of 
> > > equity
> > >> >> >> > >
> > >> >> >> > >   SetOption("MaxOpenPositions", 10); // No more than 
> 10 
> > >> >> > positions
> > >> >> >> > >   SetOption("UsePrevBarEquityForPosSizing", True);
> > >> >> >> > >
> > >> >> >> > >   /*
> > >> >> >> > >   * We recognize the sale signal at the close of a 
bar 
> > > and 
> > >> >> > execute
> > >> >> >> > the
> > >> >> >> > >   * sale at the open of the next one, delay sale by 
1 
> day.
> > >> >> >> > >   */
> > >> >> >> > >   SetTradeDelays(0, 1, 0, 0);
> > >> >> >> > >
> > >> >> >> > >   /*
> > >> >> >> > >   * Trigger a Buy signal when previous bar meets the 
> setup
> > >> >> >> > >   * requirements AND this bar's Low has dropped to 
> less 
> > > than 
> > >> > a 
> > >> >> > fixed
> > >> >> >> > >   * percentage below the previous bar's close. This 
> > > emulates 
> > >> >> > having
> > >> >> >> > >   * placed a limit order the night before after 
having 
> > > seen 
> > >> > the
> > >> >> >> > signal
> > >> >> >> > >   * on that day's close.
> > >> >> >> > >   */
> > >> >> >> > >   setup = ... // Some position entry logic.
> > >> >> >> > >   PositionScore = ... // Some prioritization logic.
> > >> >> >> > >
> > >> >> >> > >   BuyPrice = Ref(Close, -1) * 0.95;
> > >> >> >> > >   Buy = Ref(setup, -1) AND Low <= BuyPrice; // 
Problem 
> > >> > here!!!
> > >> >> >> > >
> > >> >> >> > >   Sell = ... // Some sell logic.
> > >> >> >> > >
> > >> >> >> > >   As indicated in my earlier comments. The problem 
is 
> > > that in
> > >> >> >> > reality I
> > >> >> >> > >   will not actually have placed orders for all 
> > > candidates, 
> > >> > but
> > >> >> >> > rather
> > >> >> >> > >   only for as many as there are available slots 
(e.g. 
> 8). 
> > >> >> > However,
> > >> >> >> > the
> > >> >> >> > >   script will attempt to fill the available slots 
> based 
> > > on 
> > >> > all
> > >> >> >> > >   candidates (e.g. 20).
> > >> >> >> > >
> > >> >> >> > >   How can I restrict the Buy assignment to only 
apply 
> to 
> > > the 
> > >> >> > top X
> > >> >> >> > of Y
> > >> >> >> > >   candidates based on priority (e.g. top 8 of 20 in 
> > > example 
> > >> >> > above).
> > >> >> >> > >
> > >> >> >> > >   Thanks in advance.
> > >> >> >> > >
> > >> >> >> >
> > >> >> >>
> > >> >> > 
> > >> >> > 
> > >> >> > 
> > >> >> > 
> > >> >> > 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
> > >> >> > 
> > >> >> > 
> > >> >> > 
> > >> >> > 
> > >> >> >
> > >> >>
> > >> > 
> > >> > 
> > >> > 
> > >> > 
> > >> > 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
> > >> > 
> > >> > 
> > >> > 
> > >> > 
> > >> >
> > >>
> > > 
> > > 
> > > 
> > > 
> > > 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
> > > 
> > > 
> > > 
> > > 
> > >
> >
>




Please note that this group is for discussion between users only.

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