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Bitcoin vs Gold (BTC vs XAU) 2025 Performance & Risk Review

Last updated: December 31, 2025

Gale Finance Team
Written by Gale Finance Team
Sid Kalla
Reviewed by Sid Kalla CFA Charterholder

Analysis period: 2025-01-01 to 2025-12-31

BTC Total Return
-8.7%
XAU Total Return
+63.2%

Relative Performance of BTC vs XAU (Normalized to 100)

BTC XAU

Normalized to 100 at start date for comparison

Key Takeaways

  • Total Return: BTC delivered a -8.7% total return, while XAU returned +63.2% over the same period. XAU outperformed on total returns.
  • Risk-Adjusted Return (Sharpe Ratio): BTC had a negative Sharpe (-0.11) while XAU was positive (2.37), indicating XAU had meaningfully better risk-adjusted performance in this period.
  • Volatility (Annualized): BTC was more volatile, with 42.0% annualized volatility, versus 19.3% for XAU.
  • Maximum Drawdown: XAU's maximum drawdown was -9.7%, while BTC experienced a deeper drawdown of -32.1%.
  • Tail Risk (VaR & Expected Shortfall): At the 5% level (daily log returns), BTC's VaR was -3.65% and its Expected Shortfall (CVaR) was -5.07%; XAU's were -1.75% and -2.69%. VaR is the cutoff; Expected Shortfall is the average move on the worst days.
  • Skew & Kurtosis: Skew: BTC -0.03 vs XAU -0.45. Excess kurtosis: BTC 2.26 vs XAU 2.31. Negative skew leans downside; higher excess kurtosis means fatter tails.
  • Tail Days & Extremes: 2σ tail days (down/up): BTC 11/9, XAU 8/9. Worst day: BTC -8.63% (2025-03-03) vs XAU -5.31% (2025-10-21). Best day: BTC +9.60% (2025-03-02) vs XAU +3.50% (2025-04-16).
  • Risk ratios: Sortino - BTC: -0.16 vs. XAU: 3.62 , Calmar - BTC: N/A vs. XAU: N/A , Sterling - BTC: N/A vs. XAU: N/A , Treynor - BTC: N/A vs. XAU: N/A , Ulcer Index - BTC: N/A vs. XAU: N/A

Bitcoin vs Gold Correlation

0.12 Average Correlation

Bitcoin and Gold were weakly correlated in 2025. With a correlation of 0.12, these assets showed meaningful independence, offering diversification benefits when held together.

For portfolio construction, this weak correlation suggests that combining BTC and XAU could reduce overall portfolio variance. However, correlations can increase during market stress.

Metric Value
Current (30-day) 0.08
Average (full period) 0.12
Minimum -0.18
Maximum 0.49

Correlation measures how closely two assets move together. Values near +1 indicate strong co-movement, near 0 indicates independence, and negative values indicate inverse movement.

Investment Comparison

If you invested $10,000 in each asset on January 1, 2025:

BTC $9,128.825 -8.7%
XAU $16,323.152 +63.2%

Difference: $7,194.327 (XAU ahead)

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Bitcoin and Gold: Risk Analysis

Bitcoin experienced its maximum drawdown of -32.1% from 2025-10-06 to 2025-11-22. It has not yet recovered to its previous peak.

Gold experienced its maximum drawdown of -9.7% from 2025-10-20 to 2025-11-04. It has not yet recovered to its previous peak.

Smaller drawdowns and faster recoveries indicate lower downside risk and greater resilience during market stress.

Sharpe Ratio of BTC and XAU

BTC Sharpe Ratio
-0.11
XAU Sharpe Ratio
2.37

Sharpe ratio measures return per unit of risk (volatility). A higher Sharpe indicates better risk-adjusted performance. BTC had a negative Sharpe (-0.11) while XAU was positive (2.37), indicating XAU had meaningfully better risk-adjusted performance in this period.

A Sharpe above 1.0 is generally considered good, above 2.0 is excellent. Negative Sharpe means the asset underperformed the risk-free rate. Calculated on each asset's full 365-day lookback of available prices and annualized using the asset calendar (365 for crypto, 252 trading days for equities/ETFs/metals).

Sortino Ratio of BTC and XAU

BTC Sortino Ratio
-0.16
XAU Sortino Ratio
3.62

Sortino ratio measures return per unit of downside risk. Unlike Sharpe, it only counts downside deviation (returns below the target return). XAU had better downside-adjusted returns.

A higher Sortino is better. It's useful when upside volatility is common (crypto is the obvious example). Downside deviation: BTC 29.5% vs XAU 12.7%. Calculated on each asset's full 365-day lookback of available prices, using the daily risk-free rate as the target return, and annualized using the asset calendar (365 for crypto, 252 trading days for equities/ETFs/metals).

Tail Risk & Distribution Shape (2025): Bitcoin vs. Gold

This section looks at the shape of daily returns, not just the average. Tail stats are computed per asset on its own daily series (crypto includes weekends). We use daily log returns ln(PtPt1)\ln\left(\frac{P_t}{P_{t-1}}\right) so multi-day moves add cleanly.

Definitions: Value at Risk (VaR), Expected Shortfall, skew, kurtosis, and fat tails.

Metric (2025) BTC XAU
5% VaR (daily log return) -3.65% -1.75%
5% Expected Shortfall (CVaR) -5.07% (worst 19 days) -2.69% (worst 13 days)
Skew -0.03 -0.45
Excess kurtosis 2.26 2.31
2σ tail days (down / up) 11 / 9 8 / 9
Worst day -8.63% (2025-03-03) -5.31% (2025-10-21)
Best day +9.60% (2025-03-02) +3.50% (2025-04-16)

Downside co-moves (2σ) — 2025

Computed on shared dates only (n=256). A “2σ downside move” means a shared-close log return more than 2 standard deviations below that asset’s own mean on this shared-date series. Dates below show simple returns (%) for readability.

When XAU has a big down day, BTC also does
0.0%
0 / 8 days
When BTC has a big down day, XAU also does
0.0%
0 / 10 days
Show downside tail dates

Dates below are shared-date observations. The “Date” is the period end (close). Tail thresholds are computed on log returns, but the table shows simple returns (%) for readability. Returns are computed from the previous shared close to this one (for example, Friday → Monday includes weekend moves).

Days when both BTC and XAU had a big down day (2σ)

None in this window.

Days when BTC had a big down day

Date (interval) BTC XAU
2025-01-07 -5.16% +0.48%
2025-02-21 → 2025-02-24 -4.93% +0.61%
2025-02-26 -5.47% +0.05%
2025-03-07 → 2025-03-10 -9.21% -0.84%
2025-04-04 → 2025-04-07 -5.57% -1.75%
2025-08-22 → 2025-08-25 -5.69% -0.22%
2025-10-10 -6.98% +0.85%
2025-11-14 -5.29% -2.02%
2025-11-20 -5.16% -0.02%
2025-11-28 → 2025-12-01 -5.13% -0.48%

Days when XAU had a big down day

Date (interval) BTC XAU
2025-04-04 +0.83% -2.52%
2025-04-23 +0.03% -2.75%
2025-05-09 → 2025-05-12 -0.08% -2.79%
2025-05-14 -0.57% -2.24%
2025-10-17 -1.51% -2.37%
2025-10-21 -1.92% -5.31%
2025-10-24 → 2025-10-27 +2.87% -2.78%
2025-12-26 → 2025-12-29 -0.17% -4.40%

Read this as “how ugly the ugly days get”, not as a precise forecast. One-year samples are small, so tail estimates are inherently noisy.

Full Comparison of Bitcoin vs. Gold (2025)

Metric BTC XAU
Total Return -8.7% +63.2%
Annualized Volatility 42.0% 19.3%
Sharpe Ratio -0.11 2.37
Sortino Ratio -0.16 3.62
Calmar Ratio N/A N/A
Sterling Ratio N/A N/A
Treynor Ratio N/A N/A
Ulcer Index N/A N/A
Max Drawdown -32.1% -9.7%
Avg Correlation to S&P 500 N/A N/A
5% VaR (daily log return) -3.65% -1.75%
5% Expected Shortfall (CVaR) -5.07% -2.69%
Skew -0.03 -0.45
Excess kurtosis 2.26 2.31
2σ tail days (down / up) 11 / 9 8 / 9
Audit this calculation

Formulas, inputs, and conventions used to compute the metrics on this page.

Inputs & conventions

Shared window for pair metrics
2025-01-01 → 2025-12-31 (last shared close).
Annualization (days/year)
BTC: 365 days/year; XAU: 252 days/year.
Risk-free rate
Uses the 3-month U.S. Treasury yield (FRED: DGS3MO), averaged over each asset’s window:
  • BTC: 4.22%.
  • XAU: 4.22%.
Volatility drag (rule of thumb)
Estimated from annualized volatility (simple returns). For the log-return framing, see Log returns.
  • BTC: ≈ -8.8%/yr
  • XAU: ≈ -1.9%/yr
Data alignment
No forward fill. Correlation and tail co-moves are computed on shared closes only.
For cross-calendar pairs (e.g., crypto vs stocks), weekend/holiday moves roll into the next shared close.
Return conventions
Volatility/Sharpe/Sortino use simple daily returns. Tail-risk uses daily log returns for distribution stats (but tables show simple returns). Log returns.

Formulas

Daily simple return
rt=PtPt11r_t = \frac{P_t}{P_{t-1}} - 1
σann=σ(rt)A\sigma_{ann} = \sigma(r_t)\sqrt{A}
drag12σann2\text{drag} \approx \tfrac{1}{2}\sigma_{ann}^2
S=Arˉrfσ(rt)AS = \frac{A\,\bar{r} - r_f}{\sigma(r_t)\sqrt{A}}
So=ArˉrfE[min(0,rtrf/A)2]ASo = \frac{A\,\bar{r} - r_f}{\sqrt{\mathbb{E}[\min(0,\,r_t - r_f/A)^2]}\,\sqrt{A}}
MDD=mint(PtmaxstPs1)MDD = \min_t\left(\frac{P_t}{\max_{s \le t} P_s} - 1\right)
ρ=cov(rA,rB)σAσB\rho = \frac{\operatorname{cov}(r^A,\,r^B)}{\sigma_A\,\sigma_B}
t=ln(PtPt1)\ell_t = \ln\left(\frac{P_t}{P_{t-1}}\right)
Notation
PtP_t
Price on day t.
rtr_t
Simple daily return.
t\ell_t
Log daily return.
rˉ\bar{r}
Average daily return.
σ(rt)\sigma(r_t)
Standard deviation of daily returns.
AA
Annualization factor (days/year).
rfr_f
Annual risk-free rate.

Bitcoin vs Gold: Frequently Asked Questions

Which had higher volatility: BTC or XAU?

BTC showed higher volatility at 42.0% annualized, compared to 19.3% for XAU During 2025. Higher volatility meant larger price swings in both directions.

Did BTC provide diversification when held with XAU?

BTC and XAU were weakly correlated in 2025, with an average correlation of 0.12. This weak correlation suggested meaningful diversification benefits when held together.

How bad are the worst 5% days for BTC vs XAU?

During 2025, BTC's 5% VaR was -3.65% and its 5% Expected Shortfall was -5.07% (worst 19 days). XAU's were -1.75% and -2.69% (worst 13 days).

Do BTC and XAU crash together on bad days?

On shared dates (n=256), when XAU has a 2σ down day, BTC also does 0.0% (0/8 days). In the other direction, when BTC has one, XAU also does 0.0% (0/10 days).

Which had better risk-adjusted returns: BTC or XAU?

BTC had a negative Sharpe (-0.11) while XAU was positive (2.37) During 2025, indicating XAU had meaningfully better risk-adjusted performance.

Could BTC and XAU have been combined in a portfolio?

Yes, though allocation sizing mattered. Their weak correlation could have meaningfully reduced overall portfolio variance. BTC's higher volatility (42.0%) meant even small allocations can materially impact overall portfolio risk.