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Bitcoin vs Ethereum (BTC vs ETH): Returns, Risk & Volatility (2024)

Last updated: December 31, 2024

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

Analysis period: 2024-01-01 to 2024-12-31

BTC Total Return
+119.5%
ETH Total Return
+47.4%

Relative Performance of BTC vs ETH (Normalized to 100)

BTC ETH

Normalized to 100 at start date for comparison

Key Takeaways

  • Total Return: BTC delivered a +119.5% total return, while ETH returned +47.4% over the same period. BTC outperformed on total returns.
  • Risk-Adjusted Return (Sharpe Ratio): BTC had a higher Sharpe (1.66 vs 0.85), indicating better risk-adjusted performance.
  • Volatility (Annualized): ETH was more volatile, with 64.7% annualized volatility, versus 52.9% for BTC.
  • Maximum Drawdown: BTC's maximum drawdown was -26.2%, while ETH experienced a deeper drawdown of -45.4%.
  • Tail Risk (VaR & Expected Shortfall): At the 5% level (daily log returns), BTC's VaR was -4.12% and its Expected Shortfall (CVaR) was -5.61%; ETH's were -5.48% and -7.20%. VaR is the cutoff; Expected Shortfall is the average move on the worst days.
  • Skew & Kurtosis: Skew: BTC 0.38 vs ETH 0.49. Excess kurtosis: BTC 1.76 vs ETH 3.17. Negative skew leans downside; higher excess kurtosis means fatter tails.
  • Tail Days & Extremes: 2σ tail days (down/up): BTC 9/12, ETH 11/8. Worst day: BTC -8.24% (2024-03-19) vs ETH -10.06% (2024-03-19). Best day: BTC +12.27% (2024-08-08) vs ETH +19.05% (2024-05-20).
  • Risk ratios: Sortino - BTC: 2.69 vs. ETH: 1.32 , Calmar - BTC: N/A vs. ETH: N/A , Sterling - BTC: N/A vs. ETH: N/A , Treynor - BTC: N/A vs. ETH: N/A , Ulcer Index - BTC: N/A vs. ETH: N/A

Bitcoin vs Ethereum Correlation

0.79 Average Correlation

Bitcoin and Ethereum were strongly correlated in 2024. With a correlation of 0.79, these assets tended to move together, limiting diversification benefits.

For portfolio construction, this strong correlation means holding both BTC and ETH provides limited risk reduction — they're likely to decline together in downturns.

Metric Value
Current (30-day) 0.83
Average (full period) 0.79
Minimum 0.46
Maximum 0.95

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, 2024:

BTC $21,945.328 +119.5%
ETH $14,735.092 +47.4%

Difference: $7,210.236 (BTC ahead)

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Bitcoin and Ethereum: Risk Analysis

Bitcoin experienced its maximum drawdown of -26.2% from 2024-03-13 to 2024-09-06. It has not yet recovered to its previous peak.

Ethereum experienced its maximum drawdown of -45.4% from 2024-03-11 to 2024-09-06. 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 ETH

BTC Sharpe Ratio
1.66
ETH Sharpe Ratio
0.85

Sharpe ratio measures return per unit of risk (volatility). A higher Sharpe indicates better risk-adjusted performance. BTC had a higher Sharpe (1.66 vs 0.85), indicating better risk-adjusted performance.

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 ETH

BTC Sortino Ratio
2.69
ETH Sortino Ratio
1.32

Sortino ratio measures return per unit of downside risk. Unlike Sharpe, it only counts downside deviation (returns below the target return). BTC 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 32.7% vs ETH 41.5%. 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 (2024): Bitcoin vs. Ethereum

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 (2024) BTC ETH
5% VaR (daily log return) -4.12% -5.48%
5% Expected Shortfall (CVaR) -5.61% (worst 19 days) -7.20% (worst 19 days)
Skew 0.38 0.49
Excess kurtosis 1.76 3.17
2σ tail days (down / up) 9 / 12 11 / 8
Worst day -8.24% (2024-03-19) -10.06% (2024-03-19)
Best day +12.27% (2024-08-08) +19.05% (2024-05-20)

Downside co-moves (2σ) — 2024

Computed on shared dates only (n=365). 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 ETH has a big down day, BTC also does
54.5%
6 / 11 days
When BTC has a big down day, ETH also does
66.7%
6 / 9 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 ETH had a big down day (2σ)

Date (interval) BTC ETH
2024-03-19 -8.24% -10.06%
2024-04-02 -6.23% -6.65%
2024-08-02 -6.04% -6.90%
2024-08-05 -6.98% -9.95%
2024-08-27 -5.40% -8.42%
2024-12-18 -5.36% -6.47%

Days when BTC had a big down day

Date (interval) BTC ETH
2024-01-12 -7.39% -3.58%
2024-03-05 -5.71% -1.45%
2024-03-16 -6.05% -6.00%
2024-03-19 -8.24% -10.06%
2024-04-02 -6.23% -6.65%
2024-08-02 -6.04% -6.90%
2024-08-05 -6.98% -9.95%
2024-08-27 -5.40% -8.42%
2024-12-18 -5.36% -6.47%

Days when ETH had a big down day

Date (interval) BTC ETH
2024-03-19 -8.24% -10.06%
2024-04-02 -6.23% -6.65%
2024-04-12 -4.07% -7.50%
2024-04-13 -4.23% -6.89%
2024-07-04 -5.07% -6.88%
2024-08-02 -6.04% -6.90%
2024-08-04 -4.50% -7.72%
2024-08-05 -6.98% -9.95%
2024-08-27 -5.40% -8.42%
2024-12-09 -3.83% -7.53%
2024-12-18 -5.36% -6.47%

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. Ethereum (2024)

Metric BTC ETH
Total Return +119.5% +47.4%
Annualized Volatility 52.9% 64.7%
Sharpe Ratio 1.66 0.85
Sortino Ratio 2.69 1.32
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 -26.2% -45.4%
Avg Correlation to S&P 500 N/A N/A
5% VaR (daily log return) -4.12% -5.48%
5% Expected Shortfall (CVaR) -5.61% -7.20%
Skew 0.38 0.49
Excess kurtosis 1.76 3.17
2σ tail days (down / up) 9 / 12 11 / 8
Audit this calculation

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

Inputs & conventions

Shared window for pair metrics
2024-01-01 → 2024-12-31 (last shared close).
Annualization (days/year)
BTC: 365 days/year; ETH: 365 days/year.
Risk-free rate
Uses the 3-month U.S. Treasury yield (FRED: DGS3MO), averaged over each asset’s window:
  • BTC: 4.58%.
  • ETH: 4.58%.
Volatility drag (rule of thumb)
Estimated from annualized volatility (simple returns). For the log-return framing, see Log returns.
  • BTC: ≈ -14.0%/yr
  • ETH: ≈ -20.9%/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 Ethereum: Frequently Asked Questions

Which had higher volatility: BTC or ETH?

ETH showed higher volatility at 64.7% annualized, compared to 52.9% for BTC During 2024. Higher volatility meant larger price swings in both directions.

Did BTC provide diversification when held with ETH?

BTC and ETH were strongly correlated in 2024, with an average correlation of 0.79. This strong correlation limited diversification benefits.

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

During 2024, BTC's 5% VaR was -4.12% and its 5% Expected Shortfall was -5.61% (worst 19 days). ETH's were -5.48% and -7.20% (worst 19 days).

Do BTC and ETH crash together on bad days?

On shared dates (n=365), when ETH has a 2σ down day, BTC also does 54.5% (6/11 days). In the other direction, when BTC has one, ETH also does 66.7% (6/9 days).

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

BTC showed better risk-adjusted performance with a Sharpe ratio of 1.66 versus ETH's 0.85 During 2024.

Could BTC and ETH have been combined in a portfolio?

Yes, though allocation sizing mattered. Their strong correlation provided limited risk reduction since they tended to move together. ETH's higher volatility (64.7%) meant even small allocations can materially impact overall portfolio risk.