Research··9 min read

Bitcoin's Correlation to Stocks Is Lower Than You Think

Ask someone what Bitcoin's correlation with the S&P 500 is and you'll get wildly different answers depending on what time window they're looking at. That's not a bug — it's the whole point. Here's how to read rolling correlations properly, and what they mean for your portfolio.

The Number Everyone Gets Wrong

“Bitcoin is just a leveraged bet on the Nasdaq.” You hear this on financial Twitter constantly. People point to the 2022 drawdown — crypto and tech fell together — as proof that Bitcoin offers no diversification benefit.

But the 2022 correlation spike was a regime, not the norm. J.P. Morgan's 2026 Long-Term Capital Market Assumptions estimate Bitcoin's correlation with global equities at just 0.32. With US Treasuries, it's near zero. With gold, it's 0.15.

The problem is that people confuse what happened last year with what happens on average. Correlation is not static. It moves — sometimes dramatically — and the window you choose to measure it over changes the answer you get.

Key insight: Bitcoin's correlation to the S&P 500 has ranged from -0.3 to +0.6 depending on the rolling window and market regime. The long-term average sits around 0.15-0.32 — much lower than most people assume.

What “Rolling Correlation” Actually Means

A single correlation number tells you how two assets moved together over a fixed period. It's a snapshot. A rolling correlation tracks how that relationship changes over time.

Here's how it works. Pick a window — say, 52 weeks (1 year). Take the most recent 52 weekly returns for both Bitcoin and the S&P 500. Compute the Pearson correlation. That's your latest data point. Now slide the window back one week and compute again. Keep going until you run out of data.

The result is a line chart showing how the correlation has evolved. And the window size you choose fundamentally changes what the chart tells you.

Which Rolling Window to Use — and Why

Not all windows are created equal. Each one answers a different question about your portfolio.

WindowWhat It CapturesBest For
3 months (13 weeks)Tactical/crisis-driven shiftsIdentifying regime changes in real time
6 months (26 weeks)Short-term trends, filtering some noiseQuarterly rebalancing decisions
1 year (52 weeks)Full market cycles, seasonal patternsAnnual allocation review
3 years (156 weeks)Structural relationships across regimesStrategic allocation decisions
5 years (260 weeks)Long-term diversification characteristicsSAA benchmarks, IPS assumptions
10 years (520 weeks)Deep structural baselineCapital market assumptions

The general rule: match the rolling window to your decision horizon. If you rebalance quarterly, a 3-month or 6-month window helps you understand current dynamics. If you're setting a strategic asset allocation for the next decade, look at 3-5 year windows.

Short Windows (3-6 Months): The Crisis Detector

Short rolling windows are noisy by design. The 3-month BTC-S&P correlation swings from -0.3 to +0.6 regularly. That's not a flaw — it's telling you something important about regime changes.

In March 2020, the 3-month BTC-equity correlation spiked to ~0.6. Everything sold off together in the liquidity panic. By mid-2020, it had fallen back below 0.1 as Bitcoin decoupled and began its rally to $60K. The short window caught both the crisis correlation and the recovery divergence.

In 2022, the short window flagged the BTC-Nasdaq coupling early. If you were watching the 3-month rolling correlation climb above 0.5 in Q1 2022, that was a signal that Bitcoin was temporarily behaving like a risk asset — not a diversifier.

When to use short windows: You're monitoring whether Bitcoin is currently acting as a diversifier or a risk asset. You're deciding whether to rebalance this quarter. You want to detect regime shifts early.

Medium Windows (1-3 Years): The Strategic Sweet Spot

The 1-year rolling window is probably the most useful for most investors. It smooths out the noise of individual quarters while still capturing meaningful regime changes. When the 1-year BTC-equity correlation rises above 0.4, that's a genuine signal. When it drops below 0.1, the diversification benefit is real.

The 3-year window goes further — it shows you structural relationships that persist across at least one full market cycle. A 3-year BTC-Gold correlation that hovers around 0.10-0.15 is telling you that the low correlation between these two assets isn't a fluke of any particular period. It's a feature of their fundamentally different return drivers.

Long Windows (5-10 Years): The Structural Baseline

Long rolling windows converge toward the “true” structural correlation — the kind of number that belongs in a capital market assumptions document. J.P. Morgan's 0.32 estimate for BTC-global equities is essentially a long-window average plus some forward-looking judgment.

The 5-year rolling BTC-S&P 500 correlation currently sits around 0.20-0.25. That's much lower than the 0.5+ you'd get from a 3-month snapshot taken during a risk-off episode. And it's the right number to use when deciding your strategic Bitcoin allocation for the next decade.

Bitcoin-Gold: The Surprising Non-Correlation

The Bitcoin-Gold rolling correlation is one of the most interesting charts in portfolio analytics. Despite both being called “sound money” and “inflation hedges,” they barely correlate at all.

Over a 1-year window, BTC-Gold correlation typically ranges from -0.2 to +0.4, with most of the time spent near 0.10-0.15. Over a 5-year window, it stabilises around 0.10-0.15 — almost exactly the J.P. Morgan estimate.

Why? Their return drivers are fundamentally different:

  • Gold responds to real interest rates, central bank buying, geopolitical uncertainty, and physical supply/demand
  • Bitcoin responds to adoption curves, monetary expansion narratives, halving cycles, and risk appetite in crypto markets

The implication for portfolio construction is powerful: holding both gives you two uncorrelated stores of value. Gold protects you in the scenarios where Bitcoin struggles (liquidity crises, regulatory crackdowns). Bitcoin gives you asymmetric upside in the scenarios where gold is flat (risk-on macro, technology adoption).

What Happens to Correlation in a Crisis?

Here's the uncomfortable truth: correlations tend to spike during crises. March 2020 saw everything sell off together as investors scrambled for dollars. BTC-equity correlation jumped to ~0.6 on a 3-month window. Gold initially fell too (briefly hitting -4% before rallying 25% over the next 6 months).

This is the “correlation-one” problem — in a true liquidity crisis, everything correlates toward 1.0 in the short term. But there are two important caveats:

  • The spike is temporary. Crisis correlations typically revert within 2-4 months. By mid-2020, Bitcoin had completely decoupled from equities and was outperforming everything.
  • Not all crises are liquidity crises. In the 2023 regional banking crisis, Bitcoin rallied 40% while bank stocks crashed. In geopolitical tensions, gold tends to spike while Bitcoin's response is mixed.

This is why longer rolling windows matter for strategic decisions. They smooth through the crisis spikes and show you the underlying relationship. And that underlying relationship says Bitcoin is a meaningful diversifier — just not one you can rely on in the first 48 hours of a panic.

Rule of thumb: Use short-window correlations to understand what's happening now. Use long-window correlations to decide what to own structurally. Don't make strategic allocation decisions based on crisis-period correlations.

The Practical Framework

Here's how to use rolling correlations in your own portfolio decisions:

For Strategic Allocation (Set It and Forget It)

Look at 3-5 year rolling correlations. These tell you the structural diversification benefit of adding Bitcoin to your portfolio. The current 5-year BTC-equity correlation of ~0.20-0.25 means Bitcoin still provides meaningful diversification at a strategic level. This is the number that should inform your target allocation.

For Rebalancing Decisions

Watch the 6-month to 1-year window. If the 1-year BTC-equity correlation is unusually high (>0.45), Bitcoin is temporarily behaving like a risk asset. That might not be the best time to add exposure. If it's unusually low (<0.10), the diversification benefit is strong and rebalancing into Bitcoin makes more portfolio-construction sense.

For Risk Monitoring

Track the 3-month window as an early warning system. A rapid rise in short-term BTC-equity correlation can signal that risk sentiment is driving both markets — which means your portfolio's effective diversification is temporarily lower than your strategic model assumes.

Try It Yourself

We built a free Correlation Dashboard that lets you explore all of this interactively. You can:

  • See Bitcoin and Gold's correlation with every major asset class (bar chart from J.P. Morgan 2026 LTCMA data)
  • Switch between 3-month, 6-month, 1-year, 3-year, 5-year, and 10-year rolling windows
  • Choose any pair of assets — BTC vs Gold, BTC vs S&P 500, Gold vs Bonds, or any combination — and see their rolling correlation over the full history

For deeper analysis, the Bitcoin Allocation Calculator uses these correlations (plus return and volatility assumptions) to show you how adding 1-20% Bitcoin affects your portfolio's efficient frontier. And the Bitcoin Retirement Calculator runs 1,000 Monte Carlo simulations to stress-test how different Bitcoin allocations affect your retirement success rate.

Methodology

Rolling correlations are computed from weekly returns (simple returns, not log returns) using Pearson's correlation coefficient. Weekly prices are aligned by ISO week number to handle different trading-day conventions (Bitcoin trades on Sundays; gold closes on Fridays). Bitcoin prices from CoinGecko (Aug 2010 – present). Gold prices from LBMA via Frankfurter API. S&P 500 and US Aggregate Bond prices from Yahoo Finance. Static correlation matrix from J.P. Morgan 2026 Long-Term Capital Market Assumptions, 30th edition, pages 82-83.

All rolling correlation calculations are performed client-side in the browser — no data leaves your device. You can explore the data yourself at portfoliolab.app/tools/bitcoin-correlation-dashboard.

See the Correlations in Action

Interactive rolling correlations across 5 assets and 6 time windows. Free, no signup required.

Open Correlation Dashboard