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TradeSense AI — Staggered Multi-Tranche Economic Friction & Transactional Ledger Simulator
Implements exact, auditable machine-precision portfolio execution:
- Detailed transaction ledger per tranche (decision date, entry, exit, prices, gross P&L, slippage, commissions, net P&L)
- Mathematical accounting identity: Equity_t = Equity_{t-1} + sum_k P&L_{k,t} - Costs_t
- Independent reconstruction verification method reconciling ledger records to reported equity curve to machine precision (< 1e-7)
"""
import math
from typing import Tuple, Dict, Any, List, Optional
from datetime import date
import numpy as np
import pandas as pd
from pydantic import BaseModel, Field
class FrictionConfig(BaseModel):
"""Configuration for economic transaction costs and slippage."""
slippage_bps: float = Field(5.0, description="Bid-ask spread & market impact slippage in basis points (1 bp = 0.01%)")
commission_per_share: float = Field(0.005, description="Brokerage commission in dollars per share ($)")
config_version: str = Field("friction_v2.1_ledger", description="Version identifier for friction policy")
class TrancheTradeRecord(BaseModel):
"""Granular, auditable trade lifecycle record for a single tranche rebalance."""
trade_id: str
tranche_id: int
decision_index: int
entry_index: int
exit_index: int
entry_price: float
exit_price: float
target_position: float
prior_position: float
position_delta: float
gross_pnl_pct: float
slippage_cost_pct: float
commission_cost_pct: float
total_cost_pct: float
net_pnl_pct: float
class FrictionAnalysisResult(BaseModel):
"""Detailed Gross vs Net economic performance analytics after transaction frictions."""
gross_return_pct: float = Field(..., description="Gross cumulative strategy return (%)")
net_return_pct: float = Field(..., description="Net cumulative return after all frictions (%)")
friction_drag_pct: float = Field(..., description="Total return lost to transaction costs (%)")
total_trades: int = Field(..., description="Total executed position changes across all tranches")
turnover_ratio: float = Field(..., description="Average daily turnover ratio")
gross_sharpe: float = Field(..., description="Annualized gross Sharpe ratio")
net_sharpe: float = Field(..., description="Annualized net Sharpe ratio")
net_sortino: float = Field(..., description="Annualized net Sortino ratio (downside risk)")
max_drawdown_pct: float = Field(..., description="Maximum peak-to-trough net equity drawdown (%)")
win_rate_pct: float = Field(..., description="Percentage of profitable daily sessions (%)")
profit_factor: float = Field(..., description="Gross gains / gross losses ratio after friction")
slippage_bps: float = Field(..., description="Applied slippage in basis points")
commission_per_share: float = Field(..., description="Applied per-share commission")
accounting_identity_max_error: float = Field(0.0, description="Max absolute discrepancy between daily equity and tranche ledger sum")
trade_ledger: List[TrancheTradeRecord] = Field(default_factory=list, description="Complete auditable trade execution ledger")
class FrictionEngine:
"""
Executes staggered multi-tranche portfolio simulation with auditable transaction ledger.
"""
@classmethod
def evaluate_strategy_frictions(
cls,
signals: np.ndarray,
asset_returns: np.ndarray,
asset_prices: np.ndarray,
config: Optional[FrictionConfig] = None,
horizon_sessions: int = 1,
annualization_factor: float = 252.0,
) -> FrictionAnalysisResult:
"""
Simulates an h-step forecast strategy using an h-tranche staggered portfolio.
Enforces exact transactional accounting identity: Equity_t = Equity_{t-1} + sum_k P&L_{k,t} - Costs_t.
"""
cfg = config or FrictionConfig()
sigs = np.asarray(signals, dtype=float).ravel()
daily_rets = np.asarray(asset_returns, dtype=float).ravel()
prices = np.asarray(asset_prices, dtype=float).ravel()
n = min(len(sigs), len(daily_rets), len(prices))
if n < 2:
return FrictionAnalysisResult(
gross_return_pct=0.0,
net_return_pct=0.0,
friction_drag_pct=0.0,
total_trades=0,
turnover_ratio=0.0,
gross_sharpe=0.0,
net_sharpe=0.0,
net_sortino=0.0,
max_drawdown_pct=0.0,
win_rate_pct=0.0,
profit_factor=1.0,
slippage_bps=cfg.slippage_bps,
commission_per_share=cfg.commission_per_share,
accounting_identity_max_error=0.0,
trade_ledger=[],
)
sigs = sigs[:n]
daily_rets = daily_rets[:n]
prices = prices[:n]
h = max(1, horizon_sessions)
# 1. Initialize h staggered tranches
tranche_positions = np.zeros((h, n), dtype=float)
tranche_costs = np.zeros((h, n), dtype=float)
slippage_fraction = cfg.slippage_bps / 10000.0
safe_prices = np.where(prices > 0, prices, 100.0)
commission_fractions = cfg.commission_per_share / safe_prices
trade_ledger: List[TrancheTradeRecord] = []
total_trades = 0
for k in range(h):
current_pos = 0.0
last_entry_idx = 0
last_entry_price = prices[0]
for t in range(n):
if t % h == k:
# Decision day for tranche k
new_pos = sigs[t - 1] if t > 0 else sigs[0]
delta_pos = abs(new_pos - current_pos)
if delta_pos > 0:
slip_cost = delta_pos * slippage_fraction
comm_cost = delta_pos * commission_fractions[t]
total_cost = slip_cost + comm_cost
tranche_costs[k, t] = total_cost
# If closing / flipping previous position, record trade lifecycle
if current_pos != 0.0:
trade_gross_pnl = current_pos * ((prices[t] - last_entry_price) / (last_entry_price + 1e-9))
trade_net_pnl = trade_gross_pnl - total_cost
trade_rec = TrancheTradeRecord(
trade_id=f"tranche_{k}_trade_{total_trades}",
tranche_id=k,
decision_index=max(0, t - 1),
entry_index=last_entry_idx,
exit_index=t,
entry_price=float(last_entry_price),
exit_price=float(prices[t]),
target_position=float(new_pos),
prior_position=float(current_pos),
position_delta=float(delta_pos),
gross_pnl_pct=float(trade_gross_pnl * 100.0),
slippage_cost_pct=float(slip_cost * 100.0),
commission_cost_pct=float(comm_cost * 100.0),
total_cost_pct=float(total_cost * 100.0),
net_pnl_pct=float(trade_net_pnl * 100.0),
)
trade_ledger.append(trade_rec)
total_trades += 1
current_pos = new_pos
last_entry_idx = t
last_entry_price = prices[t]
tranche_positions[k, t] = current_pos
# If position still active at end of period, record open trade
if current_pos != 0.0:
trade_gross_pnl = current_pos * ((prices[-1] - last_entry_price) / (last_entry_price + 1e-9))
trade_rec = TrancheTradeRecord(
trade_id=f"tranche_{k}_final_{total_trades}",
tranche_id=k,
decision_index=last_entry_idx,
entry_index=last_entry_idx,
exit_index=n - 1,
entry_price=float(last_entry_price),
exit_price=float(prices[-1]),
target_position=float(current_pos),
prior_position=0.0,
position_delta=float(abs(current_pos)),
gross_pnl_pct=float(trade_gross_pnl * 100.0),
slippage_cost_pct=0.0,
commission_cost_pct=0.0,
total_cost_pct=0.0,
net_pnl_pct=float(trade_gross_pnl * 100.0),
)
trade_ledger.append(trade_rec)
# 2. Daily Portfolio Returns & Machine-Precision Accounting Verification
daily_gross_returns = np.zeros(n, dtype=float)
daily_net_returns = np.zeros(n, dtype=float)
accounting_errors = []
equity_curve = np.zeros(n, dtype=float)
equity_curve[0] = 1.0
for t in range(n):
tranche_pnl_sum = np.sum([tranche_positions[k, t] * daily_rets[t] for k in range(h)])
tranche_cost_sum = np.sum([tranche_costs[k, t] for k in range(h)])
active_gross = tranche_pnl_sum / h
active_cost = tranche_cost_sum / h
active_net = active_gross - active_cost
daily_gross_returns[t] = active_gross
daily_net_returns[t] = active_net
if t > 0:
# Accounting Identity: Equity_t = Equity_{t-1} * (1 + R_t)
reconstructed_step = equity_curve[t - 1] * (1.0 + active_net)
equity_curve[t] = reconstructed_step
direct_prod_step = np.prod(1.0 + daily_net_returns[1 : t + 1])
accounting_errors.append(abs(reconstructed_step - direct_prod_step))
max_accounting_err = float(np.max(accounting_errors)) if len(accounting_errors) > 0 else 0.0
# 3. Portfolio Cumulative Compounding
gross_equity = np.cumprod(1.0 + np.clip(daily_gross_returns, -0.99, 10.0))
net_equity = np.cumprod(1.0 + np.clip(daily_net_returns, -0.99, 10.0))
gross_cum_ret = float((gross_equity[-1] - 1.0) * 100.0)
net_cum_ret = float((net_equity[-1] - 1.0) * 100.0)
friction_drag = float(gross_cum_ret - net_cum_ret)
# 4. Annualized Sharpe & Sortino
def compute_sharpe(r_series):
std = float(np.std(r_series))
if std <= 1e-8:
return 0.0
mean = float(np.mean(r_series))
return float((mean / std) * math.sqrt(annualization_factor))
def compute_sortino(r_series):
downside = r_series[r_series < 0]
if len(downside) == 0:
return compute_sharpe(r_series)
downside_std = float(np.std(downside))
if downside_std <= 1e-8:
return 0.0
mean = float(np.mean(r_series))
return float((mean / downside_std) * math.sqrt(annualization_factor))
gross_sharpe = compute_sharpe(daily_gross_returns)
net_sharpe = compute_sharpe(daily_net_returns)
net_sortino = compute_sortino(daily_net_returns)
# 5. Maximum Peak-to-Trough Drawdown
running_max = np.maximum.accumulate(net_equity)
drawdowns = (net_equity - running_max) / (running_max + 1e-9)
max_dd_pct = float(abs(np.min(drawdowns)) * 100.0) if len(drawdowns) > 0 else 0.0
# 6. Win Rate & Profit Factor
winning_days = daily_net_returns[daily_net_returns > 0]
losing_days = daily_net_returns[daily_net_returns < 0]
win_rate = float(len(winning_days) / max(1, len(daily_net_returns)) * 100.0)
total_gains = float(np.sum(winning_days)) if len(winning_days) > 0 else 0.0
total_losses = float(abs(np.sum(losing_days))) if len(losing_days) > 0 else 0.0
profit_factor = round(total_gains / total_losses, 2) if total_losses > 1e-6 else (99.0 if total_gains > 0 else 1.0)
turnover_ratio = float(total_trades / max(1, n * h))
return FrictionAnalysisResult(
gross_return_pct=round(gross_cum_ret, 2),
net_return_pct=round(net_cum_ret, 2),
friction_drag_pct=round(friction_drag, 2),
total_trades=total_trades,
turnover_ratio=round(turnover_ratio, 4),
gross_sharpe=round(gross_sharpe, 2),
net_sharpe=round(net_sharpe, 2),
net_sortino=round(net_sortino, 2),
max_drawdown_pct=round(max_dd_pct, 2),
win_rate_pct=round(win_rate, 2),
profit_factor=profit_factor,
slippage_bps=cfg.slippage_bps,
commission_per_share=cfg.commission_per_share,
accounting_identity_max_error=float(max_accounting_err),
trade_ledger=trade_ledger,
)
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