Project_Carmignac/src/repair_challenge/carmignac_diagnostics.py

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"""
Broken Months Diagnostics
=====================================================
Detects months where the aggregate stock-flow equation is violated at the ISIN level (across all accounts)
The residual is the "missing flow":
missing_{s}(t) = [Q_agg(t) - Q_agg(t-1)] - F_agg(t)
This is a market-level check, independent of individual account identity.
It captures:
- Genuinely missing flow records
- End-of-month accounting lags (transactions dated at boundary)
- Corporate actions (dividends, splits) not reflected in flows
Outputs
-------
carmignac_broken_months.csv machine-readable, loaded by carmignac_repair.py
carmignac_diagnostics.html interactive HTML report
Usage
-----
python carmignac_diagnostics.py
python carmignac_diagnostics.py \\
--aum raw_AUM.csv \\
--flows raw_flows.csv \\
--out carmignac_broken_months.csv \\
--html carmignac_diagnostics.html \\
--alpha 0.02
"""
import argparse
import os
import sys
import numpy as np
import pandas as pd
from helpers import build_html_diagnostics, load_data_diagnostics
# ─────────────────────────────────────────────────────────────
# AGGREGATE AND DETECT BROKEN MONTHS
# ─────────────────────────────────────────────────────────────
def detect_broken_months(aum, flows, alpha=0.02, lag_days=3):
"""
For each (isin, month-end t), compute:
- Q_agg(t) : total shares held across all accounts
- Q_agg(t-1) : idem previous month (forward-filled)
- F_agg(t) : total net flows recorded in ]EOM(t-1), EOM(t)]
- missing(t) : [Q_agg(t) - Q_agg(t-1)] - F_agg(t)
- missing_pct : |missing| / max(Q_agg(t), Q_agg(t-1))
A month is flagged as "broken" when missing_pct > alpha.
Additionally, a month is flagged as a potential "lag" when:
- It is broken with the standard window
- But would NOT be broken if flows dated within lag_days of EOM
are shifted to the adjacent month
Parameters :
alpha : tolerance threshold (same as ALPHA in carmignac_repair.py)
lag_days : number of boundary days to test for accounting lag
Returns :
df_broken : DataFrame with all (isin, date) pairs where missing_pct > alpha
df_all : Full DataFrame including non-broken months (for plotting)
"""
# Monthly calendar
t_min = aum["Centralisation Date"].min()
t_max = aum["Centralisation Date"].max()
all_months = pd.date_range(t_min, t_max, freq="ME")
# ── Aggregate AUM per (isin, month-end) ──────────────────────
aum_agg = (
aum.groupby(["Product - Isin", "Centralisation Date"])["Quantity - AUM"]
.sum()
.reset_index()
.rename(
columns={
"Product - Isin": "isin",
"Centralisation Date": "date",
"Quantity - AUM": "qty_agg",
}
)
)
# Forward-fill sparse panel
aum_pivot = aum_agg.pivot(index="date", columns="isin", values="qty_agg")
aum_pivot = aum_pivot.reindex(all_months).ffill()
# ── Aggregate flows per (isin, month-end) — standard window ──
def bucket_flows(flows_df, months, lower_offset=0, upper_offset=0):
"""Aggregate flows with optional boundary extension (in days)."""
fc = flows_df.copy()
def assign_month(d):
# Extended window: ]EOM(t-1) - lower_offset, EOM(t) + upper_offset]
for m in months:
eom_prev = m - pd.offsets.MonthEnd(1)
lo = eom_prev - pd.Timedelta(days=lower_offset)
hi = m + pd.Timedelta(days=upper_offset)
if lo < d <= hi:
return m
return pd.NaT
fc["month_end"] = fc["Centralisation Date"].apply(assign_month)
fc = fc.dropna(subset=["month_end"])
agg = (
fc.groupby(["Product - Isin", "month_end"])["Quantity - NetFlows"]
.sum()
.reset_index()
.rename(
columns={
"Product - Isin": "isin",
"month_end": "date",
"Quantity - NetFlows": "flow_agg",
}
)
)
return agg
flows_std = bucket_flows(flows, all_months)
flows_lag = bucket_flows(
flows, all_months, lower_offset=lag_days, upper_offset=lag_days
)
def flows_to_pivot(df, months):
piv = df.pivot(index="date", columns="isin", values="flow_agg")
return piv.reindex(months).fillna(0.0)
fpiv_std = flows_to_pivot(flows_std, all_months)
fpiv_lag = flows_to_pivot(flows_lag, all_months)
# ── Compute residuals ─────────────────────────────────────────
rows = []
isins = aum_pivot.columns.tolist()
for i in range(1, len(all_months)):
t_curr = all_months[i]
t_prev = all_months[i - 1]
for isin in isins:
q_curr = (
aum_pivot[isin].get(t_curr, np.nan)
if isin in aum_pivot.columns
else np.nan
)
q_prev = (
aum_pivot[isin].get(t_prev, np.nan)
if isin in aum_pivot.columns
else np.nan
)
if pd.isna(q_curr) or pd.isna(q_prev):
continue
delta = q_curr - q_prev
# Standard window
f_std = fpiv_std[isin].get(t_curr, 0.0) if isin in fpiv_std.columns else 0.0
missing_std = delta - f_std
# Extended lag window
f_lag = fpiv_lag[isin].get(t_curr, 0.0) if isin in fpiv_lag.columns else 0.0
missing_lag = delta - f_lag
# ── Denominator choice ────────────────────────────────
# Normalise by the size of the *movement* (max of delta_AUM
# and recorded flow), not by the stock level. This avoids
# astronomically large percentages when a position is tiny
# but the missing flow is a normal-sized number.
#
# Interpretation: "what fraction of the expected movement
# is unaccounted for?"
#
# A minimum absolute threshold (min_abs_shares) suppresses
# noise from residual micro-positions (rounding artefacts).
min_abs_shares = 1.0 # ignore positions smaller than 1 share
movement = max(abs(delta), abs(f_std), min_abs_shares)
denom_std = movement
movement_lag = max(abs(delta), abs(f_lag), min_abs_shares)
denom_lag = movement_lag
pct_std = abs(missing_std) / denom_std
pct_lag = abs(missing_lag) / denom_lag
broken_std = pct_std > alpha
broken_lag = pct_lag > alpha
# A "lag" month: broken with standard, NOT broken with extended window
is_lag = broken_std and (not broken_lag)
rows.append(
{
"date": t_curr,
"isin": isin,
"q_agg_prev": round(q_prev, 3),
"q_agg_curr": round(q_curr, 3),
"delta_aum": round(delta, 3),
"flow_agg": round(f_std, 3),
"missing_flow": round(missing_std, 3),
"missing_pct": round(pct_std, 6),
"broken": broken_std,
"is_lag": is_lag,
}
)
df_all = pd.DataFrame(rows)
df_broken = df_all[df_all["broken"]].sort_values("missing_pct", ascending=False)
return df_broken, df_all
# ─────────────────────────────────────────────────────────────
# AGGREGATE (CROSS-ISIN) BROKEN MONTHS
# ─────────────────────────────────────────────────────────────
def detect_aggregate_broken_months(aum, flows, alpha=0.02, lag_days=3):
"""
Same stock-flow check as detect_broken_months, but aggregated
across ALL ISINs for each month:
Q_total(t) - Q_total(t-1) != F_total(t)
where Q_total(t) = sum over all (reg_id, isin) of Q_{r,s}(t).
This catches months where the global portfolio is incoherent even
if every individual ISIN is fine (e.g. cross-ISIN netting errors),
and provides a cleaner high-level view.
Returns :
df_agg : DataFrame indexed by month with columns:
q_total_prev, q_total_curr, delta_aum,
flow_total, missing_flow, missing_pct, broken, is_lag
"""
t_min = aum["Centralisation Date"].min()
t_max = aum["Centralisation Date"].max()
all_months = pd.date_range(t_min, t_max, freq="ME")
# ── Total AUM per month (all ISIN, all accounts) ─────────────
aum_monthly = (
aum.groupby("Centralisation Date")["Quantity - AUM"]
.sum()
.reindex(all_months)
.ffill()
.rename("q_total")
)
# ── Bucket flows helper (reuse same window logic) ─────────────
def bucket_total_flows(flows_df, months, lower_offset=0, upper_offset=0):
fc = flows_df.copy()
def assign_month(d):
for m in months:
eom_prev = m - pd.offsets.MonthEnd(1)
lo = eom_prev - pd.Timedelta(days=lower_offset)
hi = m + pd.Timedelta(days=upper_offset)
if lo < d <= hi:
return m
return pd.NaT
fc["month_end"] = fc["Centralisation Date"].apply(assign_month)
fc = fc.dropna(subset=["month_end"])
return (
fc.groupby("month_end")["Quantity - NetFlows"]
.sum()
.reindex(months)
.fillna(0.0)
)
flow_std = bucket_total_flows(flows, all_months)
flow_lag = bucket_total_flows(
flows, all_months, lower_offset=lag_days, upper_offset=lag_days
)
# ── Compute residuals ─────────────────────────────────────────
rows = []
min_abs_shares = 1.0
for i in range(1, len(all_months)):
t_curr = all_months[i]
t_prev = all_months[i - 1]
q_curr = aum_monthly.get(t_curr, np.nan)
q_prev = aum_monthly.get(t_prev, np.nan)
if pd.isna(q_curr) or pd.isna(q_prev):
continue
delta = q_curr - q_prev
f_std = flow_std.get(t_curr, 0.0)
f_lag = flow_lag.get(t_curr, 0.0)
miss_std = delta - f_std
miss_lag = delta - f_lag
movement_std = max(abs(delta), abs(f_std), min_abs_shares)
movement_lag = max(abs(delta), abs(f_lag), min_abs_shares)
pct_std = abs(miss_std) / movement_std
pct_lag = abs(miss_lag) / movement_lag
broken_std = pct_std > alpha
broken_lag = pct_lag > alpha
is_lag = broken_std and (not broken_lag)
rows.append(
{
"date": t_curr,
"q_total_prev": round(q_prev, 3),
"q_total_curr": round(q_curr, 3),
"delta_aum": round(delta, 3),
"flow_total": round(f_std, 3),
"missing_flow": round(miss_std, 3),
"missing_pct": round(pct_std, 6),
"broken": broken_std,
"is_lag": is_lag,
}
)
df_agg = pd.DataFrame(rows)
return df_agg
# ─────────────────────────────────────────────────────────────
# ERROR ACCOUNT
# ─────────────────────────────────────────────────────────────
def build_error_account(aum, flows, lag_days=3):
"""
Builds a synthetic "error account" that absorbs the stock-flow
residuals that cannot be explained by recorded flows.
Construction (backwards from t_ref):
Stock_error(t_ref) = 0 (by definition)
Stock_error(t-1) = Stock_error(t) - Residual(t)
where Residual(t) = [Σ_r Q_{r,s}(t) - Σ_r Q_{r,s}(t-1)] - Σ_r F_{r,s}(t)
for each ISIN s independently.
By construction, adding this error account to the AUM restores the
stock-flow equality at every (isin, month).
Also computes an aggregated error account (summed over all ISINs).
Returns
-------
df_err_isin : DataFrame with columns
(date, isin, residual, stock_error, stock_error_pct)
where stock_error_pct = stock_error / max(total_isin_aum, 1)
df_err_agg : DataFrame with columns
(date, residual_agg, stock_error_agg, stock_error_agg_pct)
"""
t_min = aum["Centralisation Date"].min()
t_max = aum["Centralisation Date"].max()
all_months = pd.date_range(t_min, t_max, freq="ME")
# ── ISIN-level AUM panel (forward-filled) ────────────────────
aum_agg = (
aum.groupby(["Product - Isin", "Centralisation Date"])["Quantity - AUM"]
.sum()
.reset_index()
.rename(
columns={
"Product - Isin": "isin",
"Centralisation Date": "date",
"Quantity - AUM": "qty",
}
)
)
aum_pivot = aum_agg.pivot(index="date", columns="isin", values="qty")
aum_pivot = aum_pivot.reindex(all_months).ffill()
# ── ISIN-level flow aggregation (standard window) ─────────────
def bucket_isin_flows(flows_df, months):
fc = flows_df.copy()
def assign_month(d):
for m in months:
eom_prev = m - pd.offsets.MonthEnd(1)
if eom_prev < d <= m:
return m
return pd.NaT
fc["month_end"] = fc["Centralisation Date"].apply(assign_month)
fc = fc.dropna(subset=["month_end"])
return (
fc.groupby(["Product - Isin", "month_end"])["Quantity - NetFlows"]
.sum()
.unstack("Product - Isin")
.reindex(months)
.fillna(0.0)
)
flow_pivot = bucket_isin_flows(flows, all_months)
# ── Compute residuals per (isin, month) ───────────────────────
isins = aum_pivot.columns.tolist()
# residual[t] = delta_AUM[t] - flow[t]
residuals = {} # {isin: Series indexed by month}
for isin in isins:
res_series = {}
for i in range(1, len(all_months)):
t_curr = all_months[i]
t_prev = all_months[i - 1]
q_curr = aum_pivot[isin].get(t_curr, np.nan)
q_prev = aum_pivot[isin].get(t_prev, np.nan)
if pd.isna(q_curr) or pd.isna(q_prev):
continue
delta = q_curr - q_prev
f = flow_pivot[isin].get(t_curr, 0.0) if isin in flow_pivot.columns else 0.0
res_series[t_curr] = delta - f
residuals[isin] = pd.Series(res_series)
# ── Build error stock backwards from t_ref ────────────────────
t_ref = all_months[-1]
rows_isin = []
for isin in isins:
res = residuals[isin]
# Maximum AUM for this ISIN (for normalisation)
max_aum = aum_pivot[isin].max()
if pd.isna(max_aum) or max_aum < 1:
max_aum = 1.0
# Propagate backwards: stock(t_ref) = 0
stock = 0.0
# Build dict keyed by date
stock_by_date = {t_ref: 0.0}
for i in range(len(all_months) - 2, -1, -1):
t_curr = all_months[i + 1]
t_prev = all_months[i]
r = res.get(t_curr, 0.0)
stock = stock - r
stock_by_date[t_prev] = stock
for t in all_months:
s = stock_by_date.get(t, np.nan)
r = res.get(t, 0.0)
rows_isin.append(
{
"date": t,
"isin": isin,
"residual": round(r, 4),
"stock_error": round(s, 4) if not pd.isna(s) else np.nan,
"stock_error_pct": round(abs(s) / max_aum * 100, 4)
if not pd.isna(s)
else np.nan,
}
)
df_err_isin = pd.DataFrame(rows_isin).sort_values(["date", "isin"])
# ── Aggregated error account ──────────────────────────────────
# Total AUM across all ISINs at each month
total_aum_by_month = aum_pivot.sum(axis=1)
max_total_aum = total_aum_by_month.max()
if pd.isna(max_total_aum) or max_total_aum < 1:
max_total_aum = 1.0
# Aggregate residual = sum of ISIN residuals
agg_res = {}
for i in range(1, len(all_months)):
t_curr = all_months[i]
total_r = sum(residuals[isin].get(t_curr, 0.0) for isin in isins)
agg_res[t_curr] = total_r
agg_stock = 0.0
agg_stock_by_date = {t_ref: 0.0}
for i in range(len(all_months) - 2, -1, -1):
t_curr = all_months[i + 1]
t_prev = all_months[i]
agg_stock = agg_stock - agg_res.get(t_curr, 0.0)
agg_stock_by_date[t_prev] = agg_stock
rows_agg = []
for t in all_months:
s = agg_stock_by_date.get(t, np.nan)
r = agg_res.get(t, 0.0)
rows_agg.append(
{
"date": t,
"residual_agg": round(r, 4),
"stock_error_agg": round(s, 4) if not pd.isna(s) else np.nan,
"stock_error_agg_pct": round(abs(s) / max_total_aum * 100, 4)
if not pd.isna(s)
else np.nan,
}
)
df_err_agg = pd.DataFrame(rows_agg).sort_values("date")
return df_err_isin, df_err_agg
# ─────────────────────────────────────────────────────────────
# PRINT SUMMARY
# ─────────────────────────────────────────────────────────────
def print_summary(df_broken, df_all, alpha):
total = len(df_all)
n_broken = len(df_broken)
n_lag = df_broken["is_lag"].sum()
print("\n" + "=" * 60)
print(" CARMIGNAC — Broken Months Diagnostics")
print("=" * 60)
print(f" (isin, month) pairs examined : {total}")
print(
f" Broken (missing_pct > {alpha:.0%}) : {n_broken} "
f"({n_broken / total * 100:.1f}%)"
)
print(f" Of which likely lag : {n_lag}")
print(f" Of which genuine gap : {n_broken - n_lag}")
if n_broken:
print("\n Top 10 by missing_pct:")
cols = ["date", "isin", "missing_flow", "missing_pct", "is_lag"]
print(df_broken[cols].head(10).to_string(index=False))
# Monthly breakdown
by_month = (
df_broken.groupby("date")
.agg(
n_broken=("isin", "count"),
total_missing=("missing_flow", lambda x: x.abs().sum()),
)
.sort_values("n_broken", ascending=False)
.head(5)
)
if len(by_month):
print("\n Most affected months:")
print(by_month.to_string())
print()
# ─────────────────────────────────────────────────────────────
# MAIN
# ─────────────────────────────────────────────────────────────
def main():
parser = argparse.ArgumentParser(
description="Detect broken months in Carmignac AUM/Flows data"
)
parser.add_argument(
"--out",
default="carmignac_broken_months.csv",
help="Machine-readable output (loaded by carmignac_repair.py)",
)
parser.add_argument("--html", default="carmignac_diagnostics.html")
parser.add_argument(
"--alpha",
type=float,
default=0.05,
help="Tolerance threshold (default 0.05 = 5%%)",
)
parser.add_argument(
"--lag",
type=int,
default=3,
help="Boundary days to test for accounting lag (default 3)",
)
args = parser.parse_args()
def resolve(p):
if os.path.exists(p):
return p
alt = os.path.join(os.path.dirname(os.path.abspath(__file__)), p)
if os.path.exists(alt):
return alt
sys.exit(f"[ERROR] File not found: {p}")
print("[Load] AUM")
print("[Load] Flows")
aum, flows = load_data_diagnostics()
print(
f"\n[Detect] Running broken-month detection (α={args.alpha:.1%}, lag=±{args.lag}d)..."
)
df_broken, df_all = detect_broken_months(
aum, flows, alpha=args.alpha, lag_days=args.lag
)
df_agg = detect_aggregate_broken_months(
aum, flows, alpha=args.alpha, lag_days=args.lag
)
print("\n[Error account] Building error account...")
df_err_isin, df_err_agg = build_error_account(aum, flows, lag_days=args.lag)
print_summary(df_broken, df_all, args.alpha)
n_agg_broken = int(df_agg["broken"].sum())
print(
f" Aggregate broken months : {n_agg_broken} "
f"(of which lags: {int(df_agg['is_lag'].sum())})"
)
max_err = float(df_err_agg["stock_error_agg"].abs().max())
print(
f" Max aggregate error stock : {max_err:,.1f} shares "
f"({float(df_err_agg['stock_error_agg_pct'].max()):.3f}% of total AUM)"
)
# CSV output — this is what carmignac_repair.py loads
if len(df_broken):
df_broken.to_csv(args.out, index=False)
print(f"[Export] Broken months CSV → {args.out}")
else:
pd.DataFrame(columns=["date", "isin", "missing_pct", "is_lag"]).to_csv(
args.out, index=False
)
print(f"[Export] No broken months — empty CSV → {args.out}")
# Error account CSV
err_out = args.out.replace("broken_months", "error_account")
df_err_isin.to_csv(err_out, index=False)
err_agg_out = err_out.replace("error_account", "error_account_agg")
df_err_agg.to_csv(err_agg_out, index=False)
print(f"[Export] Error account (ISIN) → {err_out}")
print(f"[Export] Error account (agg) → {err_agg_out}")
html = build_html_diagnostics(
df_broken, df_all, df_agg, df_err_isin, df_err_agg, args.alpha
)
with open(args.html, "w", encoding="utf-8") as f:
f.write(html)
print(f"[Export] HTML report → {args.html}")
if __name__ == "__main__":
main()