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Code examples, market analysis, and data quality deep-dives.

Which Part of a 13F Is Worth Copying? Top Holdings Against New Buys in Python
How Much of a Ticker History Belongs to Another Company? Entity Resolution in Python
Which Corporate Line Item Turns First? Lead-Lag Analysis of S&P 500 Fundamentals in Python
Financial Data API Licensing: What You Can Redistribute
How to Pick a Benchmark for a Backtest
Are the Market’s Best Days Always Rebounds? Drawdown-State Analysis Across Sectors in Python
How Much of EPS Growth Comes From Share Buybacks? EPS Growth Decomposition in Python
How Long Does an S&P 500 Membership Last? Kaplan-Meier Survival Analysis in Python
How to Build a Stock Database in Python
Does Last Quarter’s Best Sector Stay on Top? Sector Rank Persistence in Python
How Much of the S&P 500’s Margin Expansion Is Index Turnover? Shift-Share Decomposition in Python
Trading Days vs Calendar Days: Why 252 Is Only an Average
How Much S&P 500 Profit Skips the Income Statement? Other Comprehensive Income in Python
How Many Calendar Anomalies Survive Multiple Testing? Bootstrap Reality Check in Python
How Long After Quarter End Do Financials Become Public? Filing Lag Analysis in Python
Does a Bollinger Band Squeeze Predict a Big Move? Band Width Analysis in Python
Do Sector Correlations Spike When the Market Falls? Conditional Beta Analysis in Python
Python Stock Data Libraries: What Each Gives You
Does the Balance Sheet Change Which Stocks Look Cheap? P/E Against EV/EBIT in Python
Can 2x Leveraged Sector ETFs Beat Their Sector? Volatility Drag Analysis in Python
Why Is Quarterly Cash Flow Year-to-Date in SEC Filings?
Are Earnings Harder to Forecast Than Revenue? Quarterly Time-Series Models in Python
Does Revenue Breadth Predict the Stock Market? A Quarterly Diffusion Index in Python
How Much Leverage Maximises Long-Run Growth? Kelly Sizing in Python
How to Run an Event Study in Python
Is a High-Margin Screen Just a Sector Bet? Sector-Neutral Profitability Ranking in Python
Does Proximity to the 52-Week High Beat Momentum? Conditional Quintile Sorts in Python
Does Negative Book Equity Signal Distress? S&P 500 Balance Sheet Screening in Python
How Late Does a Bear Market Signal Arrive? Turning-Point Detection in Python
How Much Historical Stock Data Do You Need?
Does Mean Reversion Survive Trading Costs? Moving-Average Deviations in Python
How Much Does Survivorship Bias Add to a Backtest? Point-in-Time S&P 500 Returns in Python
Does High Profitability Persist? Five-Year Transition Analysis in Python
Log Returns vs Simple Returns: Which to Use
Does Mean-Variance Optimisation Beat Equal Weighting? Out-of-Sample Test in Python
Which Sectors Actually Drive "Sell in May"? Sector Seasonality Analysis in Python
Does Free Cash Flow Coverage Predict Dividend Cuts Better Than the Payout Ratio? Point-in-Time Screening in Python
Bulk Stock Data Download vs API: Which to Use
Does a Stock's Beta Depend on the Benchmark? Cap-Weighted vs Equal-Weighted Markets in Python
How Long Does a Volatility Spike Take to Fade? Half-Life Estimation in Python
How Much Does a DCF Depend on Its Assumptions? Sensitivity Analysis in Python
How to Get a List of All US Stock Tickers
Do High-Idiosyncratic-Volatility Stocks Underperform? Residual Volatility Sorts in Python
Does Foreign Revenue Make a Stock Dollar-Sensitive? Firm-Level FX Beta in Python
Does Company Size Slow Revenue Growth? Gibrat's Law Test in Python
How to Get Stock Data Into Excel With Python
Does a Large Goodwill Balance Predict a Writedown? Impairment Risk Screening in Python
Does Revenue Concentration Explain Earnings Volatility? Segment Herfindahl Analysis in Python
Is Residual Momentum Better Than Raw Momentum? Market-Adjusted Decile Sorts in Python
Financial Data API Rate Limits: How Much Do You Need?
Does Index-Fund Ownership Make a Stock Move With the Market? 13F Ownership and Beta in Python
What Is Look-Ahead Bias in Backtesting?
How Much Drawdown Does Month-End Data Hide? Sampling Frequency and Maximum Drawdown in Python
Do Companies Pay the Tax They Report? Cash vs Book Tax Rates in Python
Does a High Dividend Payout Ratio Slow Earnings Growth? S&P 500 Cross-Section in Python
Web Scraping vs a Financial Data API: What Breaks
Did Earnings or the Multiple Drive the Last Decade of Returns? Return Decomposition in Python
What Does a Trailing Stop Cost? Stop-Loss Backtest in Python
Why Do Stock Prices Differ Between Data Sources?
Does an Inventory Build Predict a Margin Squeeze? Cross-Sectional Test in Python
How Much Revenue Does a Dollar of Acquisitions Buy? Growth Decomposition in Python
Do Companies Buy Back Stock at Good Prices? Dollar-Weighted Analysis in Python
What Data You Need for Comparable Company Analysis
How Much Does a Stock Fall on Its Ex-Dividend Date? Event Study in Python
How Seasonal Is Quarterly Revenue? Fiscal Quarter Share Analysis in Python
Do Reported Financials Follow Benford's Law? First-Digit Analysis in Python
What Is Book Value? Why Price-to-Book Stopped Working
How Far Apart Do S&P 500 Stocks Move? Cross-Sectional Return Dispersion in Python
Fama-French Factor Data: Download or Build Your Own?
How Much Does the Rebalance Date Change a Backtest? 21 Rebalance Days in Python
Does Trading Volume Predict Tomorrow's Volatility? Out-of-Sample Test in Python
Do Company Insiders Predict Their Own Stock's Returns? Form 4 Cross-Section in Python
How Many Independent Bets Are There in the S&P 500? Principal Component Analysis in Python
Can a Company's Revenue Be Forecast From Its Own History? Out-of-Sample Test in Python
What Is EBITDA and Why Do Sources Disagree?
Does the Turn-of-the-Month Effect Still Work? Calendar Anomaly Test in Python
Is the S&P 500 Getting More Capital Intensive? Capex Analysis in Python
Do High-Accrual Companies Underperform? Accruals Screening in Python
What Does a Financial Data API Cost?
Do Price Gaps Get Filled? Gap-Fill Rates Against a Random Walk in Python
What Expected Returns Does the S&P 500 Imply? Reverse Optimization in Python
Which Sectors Are Really Cyclical? Revenue Betas vs Stock Betas in Python
How to Build a Stock Dataset for Machine Learning
Comparing Companies With Different Fiscal Year Ends
How Much Has Corporate Debt Actually Repriced? Effective Interest Rates in Python
Does Deferred Revenue Predict Next Quarter's Sales? Leading Indicator Test in Python
How Much Debt Is Hidden in Operating Leases? Lease-Adjusted Leverage in Python
How Much Do Profits Move When Sales Move? Operating Leverage Regression in Python
How Concentrated Is the S&P 500? Index Weight Analysis in Python
How Long Is Cash Tied Up in a Business? Cash Conversion Cycle Analysis in Python
Broker API vs Data API for Historical Stock Data
Where to Get Free Cash Flow Data for Stocks in Python
Are Stock Returns Skewed? Return Skewness in Python
Do High-Margin Companies Trade at Higher Multiples? EV/Sales in Python
How Much Profit Becomes Cash? Free Cash Flow Conversion in Python
Which Sectors Lead Out of a Market Bottom? Sector Recovery Analysis in Python
Are Buybacks Funded by Cash Flow or by Debt? S&P 500 Payout Analysis in Python
What to Look for in Fundamentals Data
Does Cash on the Balance Sheet Cushion a Crash? Quintile Sorts in Python
Do Corporate Insiders Time the Market? S&P 500 Insider Buying Breadth in Python
Does Unstable Volatility Warn of Deeper Drawdowns? Vol-of-Vol Sorts in Python
Does Fast Asset Growth Predict Weak Stock Returns? Decile Sorts in Python
How to Replace yfinance in a Python Script
Does the Nasdaq-100 Index Effect Still Exist? Event Study in Python
Does the Piotroski F-Score Still Work? Quality Screening in Python
How Many S&P 500 Stocks Beat the Index? Return Breadth Analysis in Python
Why Beta Differs Between Data Sources
Where to Get Historical Dividend Data for Stocks
Does a High Dividend Yield Predict a Dividend Cut? Yield-Trap Screening in Python
Do Old Ticker Symbols Still Point to the Same Company? S&P 500 Ticker Recycling in Python
What Growth Is Priced Into the S&P 500? Reverse DCF in Python
Ticker vs CIK vs FIGI: Which Company ID to Use
Does Illiquidity Still Pay? Amihud Measure in the S&P 500 in Python
Where to Get R&D Spending Data for Public Companies
Does R&D Spending Predict Revenue Growth? Cross-Sectional Test in Python
What Actually Drives Return on Equity? DuPont Decomposition in Python
What Data Do You Need to Measure Portfolio Risk?
Does a 60/40 Portfolio Actually Cut Drawdowns? Stocks and Bonds in Python
Do Steady Margins Mean Calmer Stocks? Cross-Sectional Analysis in Python
Do Sectors Diversify When It Matters? Conditional Correlation in Python
How to Get Historical Market Cap Data in Python
How Much of the S&P 500 Survives 20 Years? Index Turnover Analysis in Python
Does Joining the S&P 500 Bring New Institutional Owners? 13F Event Study in Python
Is Volatility Seasonal? Calendar Month Analysis of Realized Volatility in Python
Does Fast Revenue Growth Force Companies to Borrow? Cash Funding Analysis in Python
How Far Back Does SEC EDGAR Data Go?
Are One-Time Charges Really One-Time? Charge Frequency Analysis in Python
Does Buying the Dip Work? Short-Term Reversal by Volatility Regime in Python
Alpha Vantage vs Massive vs xfinlink for Fundamentals
How Long Does a Stock Take to Recover From a 50% Fall? Drawdown Analysis in Python
Do Companies That Shrink Their Share Count Outperform? Net Buyback Yield in Python
How Much Does the Dow's Price Weighting Distort It? Index Weighting Analysis in Python
How to Get SEC Form 4 Insider Trading Data in Python
Can Anything Predict Next Month's Stock Returns? Out-of-Sample R-Squared Testing in Python
How Much of a Stock's Return Comes From Its Sector? Variance Decomposition in Python
Altman Z-Score: Where To Get It in Python
Do Value Screens Agree on Which Stocks Are Cheap? Multiple Overlap Analysis in Python
Annual vs Quarterly Financial Data: Which to Use
Do High Returns on Capital Persist? ROIC Fade Analysis in Python
Does Past Beta Predict Future Beta? Beta Stability Testing in Python
Do Defensive Sectors Actually Defend? Up and Down Capture in Python
How to Choose a Financial Data API
Do Small Caps Actually Beat Large Caps? Size Premium Test in Python
What If You Miss the Market's Best Days? Extreme-Day Analysis in Python
Does Rebalancing Add Return? Fixed-Weight vs Drift Portfolios in Python
Which S&P 500 Companies Are Closest to Default? Merton Distance-to-Default in Python
What Happens to Stocks Removed From the S&P 500? Replacement Pair Analysis in Python
Does the Golden Cross Work? 50/200 Moving Average Crossover Backtest in Python
Financial Data for Academic Finance Research
Does Skipping the Most Recent Month Improve Momentum? S&P 500 Decile Sorts in Python
Does Cointegration Survive Out of Sample? Pairs Trading Validation in Python
Which Dividends Are Not Covered by Cash? Free-Cash-Flow Coverage Screening in Python
GICS vs SIC vs NAICS: Which Industry Classification to Use
How Many Stocks Does It Take to Diversify? Random Portfolio Simulation in Python
How Many Days of Data Does a Volatility Estimate Need? Range-Based Estimators in Python
How Much of S&P 500 Cash Flow Is Stock Compensation? Cross-Sectional Analysis in Python
What Is a 13F Filing? Institutional Holdings Explained
Does Revenue Growth Explain Profit Growth? Cross-Sectional Decomposition in Python
How Much of the Nasdaq 100 Is Already in the S&P 500? Index Overlap Analysis in Python
How Often Does a 99% Value-at-Risk Limit Actually Break? VaR Backtesting in Python
Real-Time vs End-of-Day Market Data: Which Do You Need?
How Concentrated Are S&P 500 Earnings? Point-in-Time Index Analysis in Python
Does Volatility Scale With the Square Root of Time? Variance Ratio Test in Python
Does Goodwill Distort the Price-to-Book Screen? Goodwill-Adjusted Valuation in Python
How Are Shares Outstanding Reported (and Why They Disagree)
Do Low-Volatility Stocks Deliver Better Risk-Adjusted Returns? S&P 500 Quintile Sorts in Python
Does Trend Following Beat Buy and Hold? Time-Series Momentum in Python
Has the Stock-Bond Correlation Flipped? 60/40 Portfolio Risk in Python
What API to Use for a Stock Screener
Which Assets Hedge Inflation Shocks? Macro Factor Betas in Python
Does Covariance Shrinkage Beat the Sample Covariance? Minimum-Variance Portfolios in Python
Do Faster Inventory Turns Mean Thinner Margins? Gross Margin Return on Inventory in Python
SEC EDGAR API vs Fundamentals API: Which to Use
Does Fast Earnings Growth Persist? Rank Correlation Analysis in Python
Split Adjustment Explained: Adjusted Close vs Close
Which Trading Day of the Month Pays Best? Turn-of-the-Month Analysis in Python
Can You Use Yahoo Finance Data Commercially?
How Many Independent Bets Does a Nine-Sector Portfolio Give You? Eigenvalue Analysis in Python
Which Volatility Forecast Wins One Month Ahead? HAR vs EWMA in Python
How Concentrated Are Institutional Equity Portfolios? Form 13F Concentration Analysis in Python
Do Stocks Earn Their Returns Overnight or Intraday? Return Decomposition in Python
When Do Corporate Insiders Actually Trade? Form 4 Timing Analysis in Python
Data Requirements for Backtesting a Trading Strategy
What Is Survivorship Bias in Backtesting?
Do High Dividend Yields Come From Bigger Payouts or Falling Prices? Yield Decomposition in Python
Do Stocks Fall Harder Than They Rise? Downside Beta vs Upside Beta in Python
Does Volatility Targeting Improve Sharpe Ratios? Seven-Asset Backtest in Python
Free Stock Market Data APIs: What You Actually Get
How to Give an LLM Financial Data With an MCP Server
Does Post-Earnings Announcement Drift Survive Real Filing Dates? PEAD Event Study in Python
Do Insider Buying Clusters Predict Returns? Signal Testing in Python
Does the S&P 500 Index Effect Still Exist? Event Study in Python
Are Companies Leaving the S&P 500 Faster Than They Used To? Index Survival Analysis in Python
Does Gross Profitability Predict Stock Returns? Quintile Factor Test in Python
What Growth Rate Is the Market Pricing In? Reverse DCF in Python
Does a Strong Balance Sheet Cushion Drawdowns? Leverage and Downside Risk in Python
Does Ticker Recycling Corrupt a Mean-Reversion Backtest? Entity-Resolved Z-Scores in Python
How Much of a Growth Screen's Backtested Edge Is Survivorship Bias? Point-in-Time Index Testing in Python
Why Do Leveraged ETFs Decay? Measuring Volatility Drag in Python
Are Consumer Staples Margins Shrinking Under Inflation? Gross Margin Trend Analysis in Python
Do Weak Jobs Reports Predict Market Drawdowns? NFP Surprise Event Study in Python
Is the Rotation From Tech to Industrials Backed by Earnings? Relative EPS Growth Analysis in Python
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Which Stocks Benefit Most When Oil Prices Fall? Oil Beta Screening in Python
Do Bond Returns Predict Stock Returns? Granger Causality Test in Python
Which Stocks Actually Drive Portfolio Returns? Shapley Value Attribution in Python
Does "Sell in May" Still Work? Calendar Anomaly Backtest in Python
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Are KO and PEP Cointegrated? Pairs Trading Signal Construction in Python
Which Commodities Have the Strongest Momentum? Rotation Backtest in Python
Which Commodity ETFs Have the Worst Tail Risk? Expected Shortfall in Python
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Does the Base-Metals-to-Gold Ratio Lead Cyclical Stocks? Signal Test in Python
Can Risk Parity Tame Commodity Volatility? Portfolio Optimization in Python
Are Power Stocks Becoming an AI Infrastructure Trade? Momentum Screening in Python
Which AI Chip Stocks Have Margin Momentum? Profitability Trend Analysis in Python
Which AI Stocks Are Cheapest Relative to Growth? Growth-Adjusted Valuation in Python
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Which AI Stocks Have the Cleanest Balance Sheets? Net Cash Screening in Python
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Which Dividend Stocks Survive a Cash-Flow Stress Test? Dividend Screening in Python
Does Heavy Insider Selling Predict Weak Returns? Insider Flow Test in Python
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Which Retailers Have Positive Operating Leverage? Margin Screening in Python
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Why Ticker Symbols Are Unreliable: The Recycling Problem Every Quant Should Know
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Are the Market’s Best Days Always Rebounds? Drawdown-State Analysis Across Sectors in Python

What’s the question?

The best days in the market are rebounds inside crashes. The claim is common, and the arithmetic usually offered for it says nothing about when those gains happened, so it cannot support the claim.

Testing it needs a measure of conditions when each session arrived. Drawdown serves: the percentage distance between the current level of an investment and its highest previous level, so -40% means the fund has lost 40% of its peak and has not recovered it.

It also needs a base rate, or the answer is an illusion. Equity funds spend a great deal of time below their peak, and if a fund sits more than 10% under its high on half of all sessions, finding that its best days happened in that state is close to what chance delivers. The question is whether the best sessions concentrate far beyond the base rate, and whether that survives fund by fund rather than only on the index.

The approach

SPY plus the nine Select Sector SPDR funds, trading since December 1998 and splitting the S&P 500 into its sectors: ten funds, 6,791 sessions each, from 4 January 1999 to 31 December 2025.

  1. Derive daily returns from split-adjusted closing prices. These are price returns, so every level below sits under a total-return figure by roughly the dividend yield.
  2. Exclude any fund with a single-session move above 50% as a suspected corporate-action artefact. None here triggers it; the largest single session belongs to XLE at 20.14%.
  3. Build each fund’s drawdown series and read it at the previous close, so the state recorded is what an investor saw before the session happened, not after.
  4. Take each fund’s 20 largest gains and 20 largest losses, record the drawdown state on each, and compare against two controls: the fund’s own median drawdown, and the share of its sessions spent more than 10% and 20% below the peak.
  5. Check whether the extreme dates are sector-specific or shared across the ten funds.

Step 4 is the test. Without those controls the result would only restate how often these funds trade below a high.

Code

import xfinlink as xfl

xfl.set_api_key("YOUR_API_KEY")  # free at https://xfinlink.com/signup

FUNDS = ["SPY", "XLB", "XLE", "XLF", "XLI", "XLK", "XLP", "XLU", "XLV", "XLY"]

ret, draw = {}, {}
for t in FUNDS:
    px = xfl.prices(t, start="1998-12-01", end="2025-12-31", fields=["adj_close"])
    s = px.sort_values("date").set_index("date")["adj_close"]
    r = s.pct_change().dropna()
    ret[t] = r[r.index >= "1999-01-01"]
    level = (1 + ret[t]).cumprod()
    draw[t] = (level / level.cummax() - 1).shift(1)

screened = [t for t in FUNDS if ret[t].abs().max() > 0.50]

for t in ret:
    best = ret[t].nlargest(20).index
    print(t,
          round(draw[t].loc[best].median() * 100, 1),   # state on the 20 best sessions
          round(draw[t].median() * 100, 1),             # state on a typical session
          int((draw[t].loc[best] < -0.10).sum()),       # best sessions deep in a drawdown
          round((draw[t] < -0.10).mean() * 100, 1))     # base rate for that state

Full script with formatting and visualisation: best-days-drawdown-state-sectors-python.py

Output

SPY drawdown from 1999 to 2025 with its twenty best and twenty worst sessions marked, and the median drawdown on each fund’s best sessions against its median on a typical session
SPY and the nine Select Sector SPDRs, price returns from split-adjusted closes
Window 1999-01-04 to 2025-12-31   funds: 10   sessions per fund: 6,791
Sessions per calendar year: min 248, median 252, max 253   every fund priced on every session: True
Largest single session in the sample: 20.14% (XLE)   funds screened out above 50%: 0

Drawdown at the previous close, by session type
fund     20 best  20 worst  all days   best below -10%
SPY       -37.3%    -32.8%     -8.3%           19 of 20
XLB       -35.5%    -28.0%    -10.8%           20 of 20
XLE       -57.3%    -46.0%    -20.2%           20 of 20
XLF       -70.7%    -62.2%    -16.1%           20 of 20
XLI       -34.8%    -25.7%     -6.9%           20 of 20
XLK       -49.1%    -50.1%    -41.4%           20 of 20
XLP       -21.1%     -9.8%     -6.5%           19 of 20
XLU       -36.7%    -27.9%    -10.8%           19 of 20
XLV       -21.2%    -15.8%     -6.7%           17 of 20
XLY       -32.0%    -28.8%     -6.0%           20 of 20

Across the ten funds: 194 of 200 best sessions and 176 of 200 worst sessions landed while the fund
was already more than 10% below its trailing peak, against 50.1% of all sessions. 167 of 200
best sessions landed more than 20% below it, against 29.3% of all sessions.

Top-20 best sessions shared by all ten funds: 2008-10-28, 2020-03-13, 2020-03-24
Of the 200 best sessions, 116 fall in 2008 (56) or 2020 (60).

Supporting: annualised price return with ten sessions removed
fund  sector                 all in  -10 best  -10 worst  -10 both
SPY   US large cap            6.54%     3.30%      9.99%     6.64%
XLB   Materials               5.40%     2.05%      9.07%     5.60%
XLE   Energy                  5.10%     0.60%     10.88%     6.13%
XLF   Financials              4.00%    -1.05%      9.28%     3.98%
XLI   Industrials             7.07%     3.87%     10.69%     7.39%
XLK   Technology              8.40%     4.07%     11.96%     7.49%
XLP   Consumer Staples        3.97%     1.64%      6.42%     4.04%
XLU   Utilities               3.92%     0.41%      7.13%     3.50%
XLV   Health Care             6.83%     3.97%      9.80%     6.85%
XLY   Cons Discretionary      8.54%     5.36%     12.29%     9.00%

What this tells us

The claim survives the base-rate control by a wide margin. Across the ten funds, 194 of the 200 best sessions landed while the fund was already more than 10% below its peak, against a base rate of 50.1%, and 167 landed more than 20% below against 29.3%. Chance would put roughly 100 and 59 sessions in those states.

The medians say it in a different unit. SPY’s best sessions arrived at a median drawdown of -37.3% against -8.3% on a typical session, and financials at -70.7% against -16.1%, so the best days in XLF happened while the fund had lost roughly seven tenths of its value. Defensive sectors are milder but not exempt: consumer staples reads -21.1% against a typical -6.5%, health care -21.2% against -6.7%, the latter with 17 of 20 deep in a drawdown, the weakest count here.

XLK sets the limit of the measure. Its best sessions came at a median drawdown of -49.1%, but so did its typical session at -41.4%, because the fund spent 2000 to 2017 below its bubble peak. For technology, the base rate explains almost the whole result.

The worst sessions sit in the same place, 176 of 200, which is why removing one tail tends to remove the other. The SPY version of that removal test is worked through in an earlier piece; the table above extends it across sectors, where dropping the ten best sessions costs 2.33 points in consumer staples and 5.05 in financials, enough to turn XLF negative.

Sector choice dilutes none of it: 28 October 2008, 13 March 2020 and 24 March 2020 rank among the 20 best for all ten funds, and 116 of the 200 best sessions fall in two calendar years.

So what?

Treat the largest gains as conditional on being invested through a deep drawdown rather than as a toll paid for being invested at all. A stop that exits at -10%, or a trend rule that goes to cash after a decline, moves to safety at the threshold where 194 of these 200 sessions occur, so its cost is not a small chance of missing a scattered good day but a high chance of standing outside the window that produces them.

The base-rate comparison is the part to reuse. Any claim that the extreme days happen during X needs the share of ordinary days that also satisfy X before it means anything, and XLK shows what omitting that control does: a fund whose best days look crisis-bound until its own history is accounted for.

For allocation, the result argues against treating sector mix as a way to reduce dependence on a handful of sessions, since the dates are common to all ten funds. Position size and time horizon are the levers that move the exposure.

Built with xfinlink — free financial data API for Python. pip install -U xfinlink

Built with xfinlink — free financial data API for Python. pip install -U xfinlink
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