- Monthly/yearly returns chain from the previous period's close (the first trading day of every period was dropped; up to ~9pp/yr error). - With cash injections, metrics/drawdowns/periodic returns are time-weighted on the no-injection curve; capitalFlows reports invested/profit separately. - Benchmarks cover exactly the strategies' dates. - CAGR uses calendar time, so gaps in live records do not inflate it. - Backtests skip the per-trade fee for rebalances below the live minimum order and keep a ruined portfolio at zero. - live: exact strategy match, ineligible strategies hidden, currency, startDate, same-window benchmark, stale-price fallback, equity anchored at the initial capital. - PIT membership falls back to the cached history when the Wikipedia change log cannot be parsed (the table is no longer on the page). Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
246 lines
10 KiB
Python
246 lines
10 KiB
Python
"""
|
|
Point-in-time index membership reconstruction — fixes survivorship bias.
|
|
|
|
Approach: Wikipedia's "Selected changes to the list of S&P 500 components"
|
|
table lists every add/remove event (394 rows back to 1976, as of 2026). We
|
|
start from today's membership and walk the change log *backward*:
|
|
- An 'Added' ticker on date D was NOT a member before D.
|
|
- A 'Removed' ticker on date D WAS a member before D.
|
|
Applied iteratively, this yields the set of members on any historical date.
|
|
|
|
The membership info is cached in data/sp500_history.json so Wikipedia is hit
|
|
at most once per day. The cache stores per-ticker membership intervals:
|
|
{ "ticker": [[start, end_or_null], ...] }
|
|
where dates are YYYY-MM-DD strings.
|
|
"""
|
|
|
|
import io
|
|
import json
|
|
import os
|
|
import urllib.request
|
|
from datetime import date, datetime
|
|
|
|
import pandas as pd
|
|
|
|
CACHE_DIR = "data"
|
|
_HEADERS = {"User-Agent": "Mozilla/5.0 (quant-backtest)"}
|
|
|
|
|
|
# ---------------------------------------------------------------------------
|
|
# Fetch + parse Wikipedia
|
|
# ---------------------------------------------------------------------------
|
|
|
|
def _fetch_sp500_tables() -> tuple[pd.DataFrame, pd.DataFrame]:
|
|
"""Return (current_list, changes_log) from the S&P 500 Wikipedia page."""
|
|
url = "https://en.wikipedia.org/wiki/List_of_S%26P_500_companies"
|
|
req = urllib.request.Request(url, headers=_HEADERS)
|
|
with urllib.request.urlopen(req) as resp:
|
|
html = resp.read().decode("utf-8")
|
|
tables = pd.read_html(io.StringIO(html))
|
|
current = tables[0]
|
|
change_tables = [
|
|
t for t in tables[1:]
|
|
if any("Added" in "_".join(map(str, c if isinstance(c, tuple) else (c,))) for c in t.columns)
|
|
]
|
|
if not change_tables:
|
|
raise ValueError("S&P 500 change log table not found on the Wikipedia page")
|
|
changes = change_tables[0]
|
|
changes.columns = [
|
|
"_".join(c).strip() if isinstance(c, tuple) else c
|
|
for c in changes.columns
|
|
]
|
|
changes.columns = [
|
|
c.replace("Effective Date_Effective Date", "Date") for c in changes.columns
|
|
]
|
|
return current, changes
|
|
|
|
|
|
def _normalize_ticker(t: str) -> str:
|
|
"""Yahoo Finance ticker format: BRK.B → BRK-B."""
|
|
return str(t).replace(".", "-").strip()
|
|
|
|
|
|
# ---------------------------------------------------------------------------
|
|
# Membership reconstruction
|
|
# ---------------------------------------------------------------------------
|
|
|
|
def build_sp500_history() -> dict[str, list[list[str | None]]]:
|
|
"""
|
|
Reconstruct per-ticker membership intervals.
|
|
|
|
Returns
|
|
-------
|
|
dict: ticker -> list of [start_date, end_date_or_None] pairs.
|
|
end_date=None means the ticker is still a member as of today.
|
|
Dates are YYYY-MM-DD strings.
|
|
|
|
Algorithm: start from today's set of members, walk the change log from
|
|
newest to oldest. For each event on date D:
|
|
- The 'Added' ticker: its current (open) interval starts on D.
|
|
Close it: [..., D] — it was NOT a member before D.
|
|
- The 'Removed' ticker: it was a member up to D (exclusive).
|
|
Open a new interval ending on D (start unknown for now; will be
|
|
closed by an earlier event or left open-start).
|
|
|
|
After the walk, any ticker still "open" (never closed backward) has an
|
|
interval reaching back before the earliest logged change.
|
|
"""
|
|
current, changes = _fetch_sp500_tables()
|
|
|
|
current_tickers = {_normalize_ticker(s) for s in current["Symbol"].tolist()}
|
|
|
|
# Parse change log
|
|
changes["dt"] = pd.to_datetime(changes["Date"], errors="coerce")
|
|
changes = changes.dropna(subset=["dt"]).sort_values("dt", ascending=False)
|
|
|
|
# For each ticker, collect intervals [start, end].
|
|
# We track a "current open interval" per ticker during the backward walk.
|
|
# intervals[ticker] = list of [start, end] completed intervals (oldest-first).
|
|
# open_start[ticker] = start date of the currently open (most-recent) interval.
|
|
intervals: dict[str, list[list[str | None]]] = {}
|
|
open_end: dict[str, str | None] = {} # end of currently-open interval
|
|
|
|
# Initialize: today's members have an open interval ending = None (still in)
|
|
for t in current_tickers:
|
|
open_end[t] = None # still a member today
|
|
intervals[t] = []
|
|
|
|
# Track the start date of each open interval as we walk backward.
|
|
# For a member today, the interval started at the last "Added" event in the
|
|
# changes log, OR before the log begins if never added.
|
|
# We'll close the interval when we hit the "Added" event going backward.
|
|
open_start: dict[str, str | None] = {t: None for t in current_tickers}
|
|
|
|
for _, row in changes.iterrows():
|
|
d = row["dt"].strftime("%Y-%m-%d")
|
|
added = row.get("Added_Ticker")
|
|
removed = row.get("Removed_Ticker")
|
|
|
|
if pd.notna(added):
|
|
a = _normalize_ticker(added)
|
|
# This ticker was added on d → its open interval starts on d.
|
|
if a in open_end:
|
|
open_start[a] = d
|
|
# Finalize the current open interval
|
|
intervals[a].append([d, open_end[a]])
|
|
# Pop: no further open interval backward in time for this ticker
|
|
# (unless 'Removed' opens a new older one below)
|
|
del open_end[a]
|
|
|
|
if pd.notna(removed):
|
|
r = _normalize_ticker(removed)
|
|
# This ticker was removed on d → it WAS a member before d.
|
|
# Open a new interval ending on d (start unknown yet).
|
|
if r not in open_end:
|
|
intervals.setdefault(r, [])
|
|
open_end[r] = d # end of the new older interval
|
|
|
|
# Any ticker still with an open interval → start predates the log.
|
|
# Use the oldest logged date as a conservative "unknown earlier" marker: None.
|
|
for t, end in open_end.items():
|
|
intervals.setdefault(t, []).append([None, end])
|
|
|
|
# Sort intervals per ticker oldest→newest
|
|
for t, ivs in intervals.items():
|
|
ivs.sort(key=lambda iv: (iv[0] or "0000-00-00"))
|
|
|
|
return intervals
|
|
|
|
|
|
# ---------------------------------------------------------------------------
|
|
# Cache I/O
|
|
# ---------------------------------------------------------------------------
|
|
|
|
def _cache_path() -> str:
|
|
return os.path.join(CACHE_DIR, "sp500_history.json")
|
|
|
|
|
|
def load_sp500_history(force_refresh: bool = False) -> dict[str, list[list[str | None]]]:
|
|
"""Load cached membership history, or rebuild if stale (>1 day old)."""
|
|
path = _cache_path()
|
|
if not force_refresh and os.path.exists(path):
|
|
try:
|
|
with open(path) as f:
|
|
data = json.load(f)
|
|
if data.get("date") == str(date.today()):
|
|
return data["intervals"]
|
|
except Exception:
|
|
pass
|
|
print("--- Rebuilding S&P 500 membership history from Wikipedia ---")
|
|
try:
|
|
intervals = build_sp500_history()
|
|
except Exception as exc: # noqa: BLE001 — page layout changes must not break backtests
|
|
if not os.path.exists(path):
|
|
raise
|
|
with open(path) as f:
|
|
cached = json.load(f)
|
|
print(f"--- WARNING: rebuild failed ({exc}); using membership history "
|
|
f"cached on {cached.get('date')} ---")
|
|
return cached["intervals"]
|
|
os.makedirs(CACHE_DIR, exist_ok=True)
|
|
with open(path, "w") as f:
|
|
json.dump({"date": str(date.today()), "intervals": intervals}, f)
|
|
print(f"--- Cached {len(intervals)} tickers' membership intervals ---")
|
|
return intervals
|
|
|
|
|
|
# ---------------------------------------------------------------------------
|
|
# Convert intervals → aligned mask DataFrame
|
|
# ---------------------------------------------------------------------------
|
|
|
|
def membership_mask(dates: pd.DatetimeIndex,
|
|
intervals: dict[str, list[list[str | None]]] | None = None,
|
|
tickers: list[str] | None = None) -> pd.DataFrame:
|
|
"""
|
|
Boolean DataFrame: rows = dates, columns = tickers.
|
|
True where the ticker was an S&P 500 member on that date.
|
|
|
|
If `tickers` is given, restrict columns to that list (useful for aligning
|
|
with a price DataFrame). Otherwise, include all tickers ever a member.
|
|
"""
|
|
if intervals is None:
|
|
intervals = load_sp500_history()
|
|
cols = tickers if tickers is not None else sorted(intervals.keys())
|
|
# Tickers not in `intervals` (e.g. SPY, benchmarks, ETFs) are treated as
|
|
# always-members so callers can pass the full price matrix through
|
|
# mask_prices without zeroing out benchmark series.
|
|
mask = pd.DataFrame(False, index=dates, columns=cols)
|
|
for t in cols:
|
|
if t not in intervals:
|
|
mask[t] = True
|
|
continue
|
|
for start, end in intervals[t]:
|
|
s = pd.Timestamp(start) if start else dates[0]
|
|
e = pd.Timestamp(end) if end else dates[-1] + pd.Timedelta(days=1)
|
|
# Interval semantics: member on [start, end). A ticker removed on
|
|
# date D was no longer a member on D.
|
|
mask.loc[(mask.index >= s) & (mask.index < e), t] = True
|
|
return mask
|
|
|
|
|
|
def all_tickers_ever(intervals: dict | None = None) -> list[str]:
|
|
"""All tickers that were ever S&P 500 members (for price data fetching)."""
|
|
if intervals is None:
|
|
intervals = load_sp500_history()
|
|
return sorted(intervals.keys())
|
|
|
|
|
|
def mask_prices(prices: pd.DataFrame,
|
|
intervals: dict | None = None) -> pd.DataFrame:
|
|
"""
|
|
Return a copy of `prices` with NaN set for (date, ticker) pairs where
|
|
the ticker was not an S&P 500 member on that date.
|
|
|
|
This is the key survivorship-bias fix: strategies compute signals from
|
|
the masked price data, so they naturally cannot select stocks outside
|
|
the point-in-time index membership.
|
|
|
|
Warm-up note: a newly-added member needs sufficient non-NaN history for
|
|
its rolling windows to produce a valid signal. For this codebase's
|
|
~252-day lookbacks, a stock becomes "selectable" roughly 1 year after
|
|
joining. This is conservative but correct: before that, we have no
|
|
legitimate signal anyway.
|
|
"""
|
|
mask = membership_mask(prices.index, intervals, tickers=list(prices.columns))
|
|
return prices.where(mask)
|