#!/usr/bin/env python3 """Sizing-Simulation: was bringt 96%-All-in vs. Bruchteil-Margin vs. risiko-basiert für das LANGFRIST-Wachstum (Endkapital) und den Max-Drawdown? Modell (skalenfrei, fixe Bruchteil-Sizing → geometrisches Wachstum): - Signale: echte _build-Logik (≥55% Konf, M30-Filter, Winkel) — wie live. - Exit: SL fix 2,0×ATR + Trailing-TP (= aktuelles Live-Modell), pessimistisch. - Pro Trade R (=Profit/ATR) → EUR-Rendite je nach Lots/Margin (echte MT5-Params). - Endkapital = Π(1+ret_i) (bei fixer Bruchteil-Sizing ordnungs-UNABHÄNGIG). - Max-Drawdown: historische Reihenfolge + Monte-Carlo (Shuffle) für die Verteilung. Kernfrage: 96%-All-in liegt vermutlich WEIT über dem Kelly-Optimum → höhere Bruchteil-Sizing gibt mehr Endkapital UND weniger Drawdown (Vola-Drag). """ import sys, random, math import MetaTrader5 as mt5 from core.analysis import calc_trend_angle from core.wave_rec import (WaveRecommender, _atr, _ema_last, _EMA_FAST, _EMA_SLOW, _N_BARS, _HTF_DEADBAND, _ANGLE_LR) _MAXH=240; _TRAILON=0.3; _TPTRAIL=0.5; _ATRMIN=0.12 _SL_ATR=2.0 # fixer Initial-SL (Live-Mitte des Bands) _MARGIN_CAP=0.96 # nie mehr als 96% Margin (auch risiko-basiert gedeckelt) class _TU: def snapshot(self): return {"intervals": {}} def _ema_series(v,p): k=2.0/(p+1); o=[]; e=v[0] for i,x in enumerate(v): e=x if i==0 else x*k+e*(1-k); o.append(e) return o def _atr_series(H,L,C,p=14): t=[0.0] for i in range(1,len(C)): t.append(max(H[i]-L[i],abs(H[i]-C[i-1]),abs(L[i]-C[i-1]))) return [(sum(t[max(1,i-p+1):i+1])/max(1,len(t[max(1,i-p+1):i+1]))) if i else None for i in range(len(C))] def simulate(entry,d,atr,sl,H,L,C,j0): eff=sl; hw=entry; trail=False end=min(j0+_MAXH,len(C)-1); exit_px=C[end] for j in range(j0,end+1): hi,lo=H[j],L[j] if (lo<=eff) if d>0 else (hi>=eff): return (eff-entry)*d/atr hw=max(hw,hi) if d>0 else min(hw,lo) if (C[j]-entry)*d>=_TRAILON*atr: trail=True if trail: lock=hw-d*_TPTRAIL*atr eff=max(eff,lock) if d>0 else min(eff,lock) return (exit_px-entry)*d/atr def curve_stats(rets): """Endkapital-Faktor, Wachstum/Trade (mean ln), Max-DD (hist. Reihenfolge).""" eq=1.0; peak=1.0; mdd=0.0; gsum=0.0; ruin=False for r in rets: r=max(r,-0.99) eq*=(1+r); gsum+=math.log(max(1+r,1e-9)) peak=max(peak,eq); dd=1-eq/peak if dd>mdd: mdd=dd if eq<0.10*1.0: ruin=True return eq, gsum/len(rets), mdd, ruin def mc_maxdd(rets, runs=400): """Monte-Carlo: Verteilung des Max-DD über zufällige Trade-Reihenfolgen.""" dds=[] base=list(rets) for _ in range(runs): random.shuffle(base) eq=1.0; peak=1.0; mdd=0.0 for r in base: eq*=(1+max(r,-0.99)); peak=max(peak,eq); mdd=max(mdd,1-eq/peak) dds.append(mdd) dds.sort() p=lambda q: dds[min(len(dds)-1,int(q*len(dds)))] over80=sum(1 for x in dds if x>0.80)/len(dds) return p(0.50), p(0.95), over80 def main(): n=int(sys.argv[1]) if len(sys.argv)>1 else 12000 mt5.initialize() sym=None for c in ("SpotCrude","USOIL","WTI","XTIUSD"): if mt5.symbol_info(c): sym=c; break si=mt5.symbol_info(sym); acc=mt5.account_info() tick=mt5.symbol_info_tick(sym) price_now=(tick.bid+tick.ask)/2 margin1=mt5.order_calc_margin(mt5.ORDER_TYPE_BUY, sym, 1.0, price_now) vpp=(si.trade_tick_value or 1.0)/(si.trade_tick_size or si.point) # € je 1.0 Preis je Lot lev=vpp*price_now/margin1 if margin1 else 0 bars=mt5.copy_rates_from_pos(sym,mt5.TIMEFRAME_M5,0,n+_N_BARS+_MAXH+5) m30=mt5.copy_rates_from_pos(sym,mt5.TIMEFRAME_M30,0,n//6+400) mt5.shutdown() T=[int(b["time"]) for b in bars]; H=[float(b["high"]) for b in bars] L=[float(b["low"]) for b in bars]; C=[float(b["close"]) for b in bars] mT=[int(b["time"]) for b in m30]; mc=[float(b["close"]) for b in m30] mh=[float(b["high"]) for b in m30]; ml=[float(b["low"]) for b in m30] mEf=_ema_series(mc,_EMA_FAST); mEs=_ema_series(mc,_EMA_SLOW); mA=_atr_series(mh,ml,mc) def m30s(ts): lo,hi,idx=0,len(mT)-1,-1 while lo<=hi: md=(lo+hi)//2 if mT[md]<=ts: idx=md; lo=md+1 else: hi=md-1 if idx<_EMA_SLOW or mA[idx] is None or mA[idx]<=0: return 0 dd=mEf[idx]-mEs[idx] return 0 if abs(dd)<_HTF_DEADBAND*mA[idx] else (1 if dd>0 else -1) w=WaveRecommender(_TU(), mt5.TIMEFRAME_M5) trades=[] # (price_i, atr_i, R_i) for i in range(_N_BARS, len(C)-_MAXH-1): wc=C[i-_N_BARS:i]; wh=H[i-_N_BARS:i]; wl=L[i-_N_BARS:i] atr=_atr(wh,wl,wc) if not atr or atr<=0: continue ef=_ema_last(wc,_EMA_FAST); es=_ema_last(wc,_EMA_SLOW) ang=calc_trend_angle(C[i-_ANGLE_LR-2:i],_ANGLE_LR) rec,_=w._build(ef,es,C[i-1],atr,"M5",5,htf_trend=m30s(T[i]),angle=ang) if rec["signal"]=="WARTEN": continue d=1 if rec["signal"]=="LONG" else -1 atr=max(atr,_ATRMIN); e=C[i] R=simulate(e,d,atr,e-d*_SL_ATR*atr,H,L,C,i+1) trades.append((e,atr,R)) def rets_for(rule, val): out=[] for (e,atr,R) in trades: margin_i=margin1*e/price_now if rule=="margin": lots=val/margin_i # je 1 € Equity else: # risk: val=Risiko-Anteil bei _SL_ATR-Stop lots=val/(_SL_ATR*atr*vpp) if lots*margin_i>_MARGIN_CAP: lots=_MARGIN_CAP/margin_i out.append(lots*(R*atr)*vpp) # frakt. Rendite/Trade return out print("="*88) print(f" Sizing-Simulation — {sym} Trades={len(trades)} SL fix {_SL_ATR}×ATR + Trailing-TP") print(f" Hebel≈{lev:.0f}× · Margin/Lot≈{margin1:.2f} · Wert/1.0Preis/Lot≈{vpp:.2f}{acc.currency} · Kurs {price_now:.2f}") print("="*88) hdr=f" {'Sizing':<22}{'Endkapital':>12}{'Wachstum/Tr':>13}{'MaxDD-hist':>11}{'MaxDD-MC95':>11}{'P(DD>80%)':>11}" print(hdr); print(" "+"-"*84) rules=[("Margin 96% (AKTUELL)","margin",0.96),("Margin 50%","margin",0.50), ("Margin 30%","margin",0.30),("Margin 20%","margin",0.20), ("Margin 10%","margin",0.10), ("Risiko 1%/Trade","risk",0.01),("Risiko 2%/Trade","risk",0.02), ("Risiko 3%/Trade","risk",0.03)] for name,rule,val in rules: rets=rets_for(rule,val) eq,g,mdd,ruin=curve_stats(rets) mdd50,mdd95,over80=mc_maxdd(rets) eqs=(f"{eq:.2e}×" if (eq>=1e4 or eq<1e-2) else f"{eq:7.2f}×") print(f" {name:<22}{eqs:>12}{g:>+13.4f}{100*mdd:>10.0f}%{100*mdd95:>10.0f}%{100*over80:>10.0f}%" + (" ⚠RUIN" if ruin else "")) # Kelly-Scan: welcher Margin-Bruchteil maximiert das Wachstum/Trade? print("\n Kelly-Scan (Margin-Bruchteil → Wachstum pro Trade, ln):") best=(-9,0) for f in [x/100 for x in range(2,99,2)]: g=curve_stats(rets_for("margin",f))[1] if g>best[0]: best=(g,f) print(f" Wachstum-Optimum bei Margin ≈ {best[1]*100:.0f}% (g={best[0]:+.4f}/Trade)") g96=curve_stats(rets_for("margin",0.96))[1] print(f" Zum Vergleich 96%: g={g96:+.4f}/Trade → " + ("96% liegt ÜBER dem Optimum (Vola-Drag)" if g9680%) = Quasi-Ruin-Risiko.") if __name__=="__main__": main()