Shopify vs Amazon (SHOP vs AMZN) 2026: Stock Returns, Risk & Volatility

Q: Which is a better investment: SHOP or AMZN?

Over the past year, AMZN looks like the better investment: it had higher total return (AMZN +1.7% vs SHOP -7.0%) and a higher Sharpe ratio (AMZN 0.36 vs SHOP 0.09). On risk, AMZN was less volatile (AMZN 31.1% vs SHOP 58.2%), AMZN had a smaller max drawdown (AMZN -21.7% vs SHOP -46.7%), and AMZN had less severe losses on the worst 5% of days (Expected Shortfall of AMZN -4.44% vs SHOP -8.44%).

Written by Gale Finance Team

Reviewed by Sid Kalla CFA Charterholder

Quick answer

Which is a better investment: SHOP or AMZN?

Over the past year, AMZN outperformed SHOP. AMZN returned +1.7% compared with SHOP’s -7.0%. AMZN had the better risk-adjusted return, with a Sharpe ratio of 0.36 versus SHOP’s 0.09. AMZN was less volatile than SHOP, and AMZN had a smaller max drawdown than SHOP.

Total Return

SHOP -7.0%

AMZN +1.7%

Sharpe Ratio

SHOP 0.09

AMZN 0.36

Annualized Volatility

SHOP 58.2%

AMZN 31.1%

Max Drawdown

SHOP -46.7%

AMZN -21.7%

Metric winners: Total Return: AMZN; Sharpe Ratio: AMZN; Annualized Volatility: AMZN (less volatile); Max Drawdown: AMZN (smaller drawdown).

SHOP Total Return

↓ -7.0%

AMZN Total Return

↑ +1.7%

Relative Performance of SHOP vs AMZN (Normalized to 100)

SHOP AMZN

Normalized to 100 at start date for comparison

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Key Takeaways

Total Return: SHOP delivered a -7.0% total return, while AMZN returned +1.7% over the same period. AMZN outperformed on total returns.
Risk-Adjusted Return (Sharpe Ratio): AMZN had a higher Sharpe (0.36 vs 0.09), indicating better risk-adjusted performance.
Volatility (Annualized): SHOP was more volatile, with 58.2% annualized volatility, versus 31.1% for AMZN.
Maximum Drawdown: AMZN's maximum drawdown was -21.7%, while SHOP experienced a deeper drawdown of -46.7%.
Tail Risk (VaR & Expected Shortfall): At the 5% level (daily log returns), SHOP's VaR was -6.64% and its Expected Shortfall (CVaR) was -8.44%; AMZN's were -3.15% and -4.44%. VaR is the cutoff; Expected Shortfall is the average move on the worst days.
Skew & Kurtosis: Skew: SHOP 0.07 vs AMZN -0.11. Excess kurtosis: SHOP 4.79 vs AMZN 2.91. Negative skew leans downside; higher excess kurtosis means fatter tails.
Tail Days & Extremes: 2σ tail days (down/up): SHOP 7/3, AMZN 7/3. Worst day: SHOP -15.62% (2026-05-05) vs AMZN -8.27% (2025-08-01). Best day: SHOP +21.97% (2025-08-06) vs AMZN +9.58% (2025-10-31).
Risk ratios: Sortino - SHOP: 0.12 vs. AMZN: 0.52 , Calmar - SHOP: -0.16 vs. AMZN: 0.50 , Sterling - SHOP: -0.50 vs. AMZN: 0.42 , Treynor - SHOP: 0.02 vs. AMZN: 0.08 , Ulcer Index - SHOP: 23.96% vs. AMZN: 9.90%

Investment Comparison

If you invested $10,000 in each asset on July 16, 2025:

SHOP $9,301.67 -7.0%

AMZN $10,171.15 +1.7%

Difference: $869.48 (AMZN ahead)

Shopify vs Amazon Performance Over Time

Metric	SHOP	AMZN
30 Days	6.4%	-14.4%
90 Days	-0.2%	13.9%
180 Days	-34.7%	-2.4%
1 Year	N/A	N/A

Shorter time frames can show different leaders as market conditions change. Consider your investment horizon when comparing performance.

Shopify vs Amazon Correlation

Average Correlation

moderately correlated

0.41

Current (30-day) 0.44

30-day rolling range -0.09 to +0.76

Shopify and Amazon are moderately correlated over the past year. With a correlation of 0.41, these assets show moderate co-movement, offering some diversification when held together.

For portfolio construction, this moderate correlation offers some diversification benefit, though the assets still tend to move together during major market moves.

Metric	Value
Current (30-day)	0.44
Average (full period)	0.41
Minimum (30-day rolling)	-0.09
Maximum (30-day rolling)	0.76

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. Current, minimum, and maximum figures are 30-day rolling correlations on shared daily returns.

Drawdown

Maximum Drawdown

SHOP

-46.7%

AMZN

-21.7%

Shopify experienced its maximum drawdown of -46.7% from 2025-10-29 to 2026-05-13. It has not yet recovered to its previous peak.

Amazon experienced its maximum drawdown of -21.7% from 2025-11-03 to 2026-02-13. It took 68 days to recover.

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

Shopify vs Amazon Volatility (SHOP vs AMZN)

SHOP Volatility

58.2%

±3.67% 1-day vol

AMZN Volatility

31.1%

±1.96% 1-day vol

1-day volatility (1σ)

SHOP

±3.67%

AMZN

±1.96%

Shopify's 58.2% annualized volatility translates to about ±3.67% one-standard-deviation daily volatility.

Amazon's 31.1% annualized volatility translates to about ±1.96% one-standard-deviation daily volatility.

SHOP had the wider volatility profile over this window. That means its day-to-day return distribution was broader; AMZN was calmer, but lower volatility does not by itself mean better returns.

Treat the ± daily figure as a one-standard-deviation estimate from historical returns, not a forecast or expected absolute daily move. For context, 15-18% annualized volatility is roughly ±1% one-standard-deviation daily volatility.

Risk-adjusted ratios

Sharpe Ratio of SHOP and AMZN

Sharpe Ratio: SHOP vs. AMZN

Return per total volatility

Sharpe gives us excess return per unit of risk. Upside and downside volatility both count as risk.

Higher is better

excess return / total volatility

Formula

\displaystyle \mathrm{Sharpe} = \frac{\mathbb{E}[R] - R_f}{\sigma_R}

Sharpe ratio measures return per unit of risk (volatility). A higher Sharpe indicates better risk-adjusted performance. AMZN had a higher Sharpe (0.36 vs 0.09), 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 SHOP and AMZN

Sortino Ratio: SHOP vs. AMZN

Return per downside volatility

Sortino keeps the return-over-risk idea, but only returns below the target rate count as volatility.

Higher is better

excess return / downside volatility

Formula

\displaystyle \mathrm{Sortino} = \frac{\mathbb{E}[R] - R_f}{\sigma_{\mathrm{down}}}

Sortino ratio measures return per unit of downside risk. Unlike Sharpe, it only counts downside deviation (returns below the target return). AMZN 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: SHOP 40.1% vs AMZN 21.7%. 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).

Calmar Ratio of SHOP and AMZN

Calmar Ratio: SHOP vs. AMZN

CAGR per worst drawdown

Calmar compares CAGR against the single deepest peak-to-trough loss over the period.

Higher is better

CAGR / max drawdown

Formula

\displaystyle \mathrm{Calmar} = \frac{\mathrm{CAGR}}{|\mathrm{MaxDD}|}

Calmar ratio compares CAGR to maximum drawdown. Higher Calmar means more return per unit of worst drawdown. AMZN posted the higher Calmar ratio.

Calmar is computed on each asset's full 365-day lookback and uses the max drawdown over that same window.

Sterling Ratio of SHOP and AMZN

Sterling Ratio: SHOP vs. AMZN

Return per average drawdown

Sterling smooths the drawdown penalty by using average drawdown events instead of only the worst one.

Higher is better

excess annual return / average deep drawdown

Formula

\displaystyle \mathrm{Sterling} = \frac{\mathrm{CAGR} - R_f}{\overline{D}_{>10\%}}

Sterling ratio measures excess return per unit of average drawdown (typically drawdowns worse than 10%). AMZN posted the higher Sterling ratio.

Sterling uses average drawdown events deeper than 10% and subtracts the risk-free rate to report excess return.

Treynor Ratio of SHOP and AMZN

Treynor Ratio: SHOP vs. AMZN

Excess return per market beta

Treynor divides excess annualized return by beta — the sensitivity of the asset to broad-market moves. The slope shown is each asset’s beta vs SPY.

Higher is better

excess return / market beta

Formula

\displaystyle \mathrm{Treynor} = \frac{\mathbb{E}[R] - R_f}{\beta}

Treynor ratio measures excess return per unit of market risk (beta) instead of total volatility. AMZN posted the higher Treynor ratio.

Treynor uses beta vs the S&P 500 (SPY) on shared dates and the average 3-month Treasury rate as the risk-free rate.

Ulcer Index of SHOP and AMZN

Ulcer Index: SHOP vs. AMZN

Drawdown pain

Ulcer Index is a risk index, not a return-over-risk ratio. Lower means smaller and shorter drawdowns.

Lower is better

root-mean-square drawdown

Formula

\displaystyle \mathrm{UI} = \sqrt{\mathbb{E}[D_t^2]}

Ulcer Index captures drawdown depth and duration. Lower Ulcer Index means less drawdown pain. AMZN had the lower Ulcer Index (less drawdown pain).

Ulcer Index is computed from each asset's drawdown series over the full lookback window.

Tail Risk & Distribution Shape (1-Year): Shopify vs. Amazon

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 $\ln\left(\frac{P_t}{P_{t-1}}\right)$ so multi-day moves add cleanly.

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

Tail Risk & Distribution Shape: SHOP vs. AMZN (1-Year)

Actual daily return tails

The bars are real daily log-return observations from the article window. Darker bars are observations at or beyond each asset’s 5% VaR cutoff.

Observed returns

VaR marks the 5th percentile loss cutoff; Expected Shortfall averages the observations beyond that cutoff.

Formula

\displaystyle \mathrm{VaR}_{5\%}=Q_{0.05}(r_t),\quad \mathrm{ES}_{5\%}=\mathbb{E}[r_t\mid r_t\le \mathrm{VaR}_{5\%}]

Metric (1-Year)	SHOP	AMZN
5% VaR (daily log return)	-6.64%	-3.15%
5% Expected Shortfall (CVaR)	-8.44% (worst 12 days)	-4.44% (worst 13 days)
Skew	0.07	-0.11
Excess kurtosis	4.79	2.91
2σ tail days (down / up)	7 / 3	7 / 3
Worst day	-15.62% (2026-05-05)	-8.27% (2025-08-01)
Best day	+21.97% (2025-08-06)	+9.58% (2025-10-31)

Downside co-moves (2σ) — 1-Year

Computed on shared dates only (n=237). 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.

Downside co-move map: SHOP vs. AMZN (2σ)

Shared-close daily returns

Dots mark actual downside days: asset-colored dots are one-sided downside moves, and red dots are joint downside days. Grey dots add sampled shared-return context when available. The shaded lower-left zone shows where both SHOP and AMZN crossed their own 2σ downside threshold.

2σ

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 SHOP and AMZN had a big down day (2σ)

Date (interval)	SHOP	AMZN
2025-10-10	-7.84%	-4.99%

Days when SHOP had a big down day

Date (interval)	SHOP	AMZN
2025-10-10	-7.84%	-4.99%
2026-01-16 → 2026-01-20	-7.26%	-3.40%
2026-01-30	-8.64%	-1.01%
2026-02-03	-9.77%	-1.79%
2026-02-20 → 2026-02-23	-7.07%	-2.30%
2026-05-05	-15.62%	+0.55%
2026-05-08 → 2026-05-11	-7.13%	-1.35%

Days when AMZN had a big down day

Date (interval)	SHOP	AMZN
2025-08-01	-2.95%	-8.27%
2025-10-10	-7.84%	-4.99%
2025-11-18	+0.37%	-4.43%
2026-02-05	-2.44%	-4.42%
2026-02-06	+0.73%	-5.55%
2026-03-27	-3.10%	-3.95%
2026-06-18 → 2026-06-22	-0.80%	-4.75%

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 Shopify vs. Amazon (1-Year)

Metric	SHOP	AMZN
Total Return	-7.0%	+1.7%
Annualized Volatility	58.2%	31.1%
Sharpe Ratio	0.09	0.36
Sortino Ratio	0.12	0.52
Calmar Ratio	-0.16	0.50
Sterling Ratio	-0.50	0.42
Treynor Ratio	0.02	0.08
Ulcer Index	23.96%	9.90%
Max Drawdown	-46.7%	-21.7%
Avg Correlation to S&P 500	0.56	0.60
5% VaR (daily log return)	-6.64%	-3.15%
5% Expected Shortfall (CVaR)	-8.44%	-4.44%
Skew	0.07	-0.11
Excess kurtosis	4.79	2.91
2σ tail days (down / up)	7 / 3	7 / 3

Audit this calculation

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

Inputs & conventions

Shared window for pair metrics: 2025-07-16 → 2026-06-25 (last shared close).
Rolling correlation sample (shared closes): 208 rolling 30-day values (from 237 shared daily returns).
Annualization (days/year): SHOP: 252 days/year; AMZN: 252 days/year.
Risk-free rate: Uses the 3-month U.S. Treasury yield (FRED: DGS3MO), averaged over each asset’s window:

SHOP: 4.05% over 2025-07-16 → 2026-06-25.

AMZN: 4.05% over 2025-07-16 → 2026-07-14.
Volatility drag (rule of thumb): Estimated from annualized volatility (simple returns). For the log-return framing, see Log returns.

SHOP: ≈ -16.9%/yr

AMZN: ≈ -4.8%/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

r_t = \frac{P_t}{P_{t-1}} - 1

Volatility

\sigma_{ann} = \sigma(r_t)\sqrt{A}

Volatility drag (approx.)

\text{drag} \approx \tfrac{1}{2}\sigma_{ann}^2

Sharpe Ratio

S = \frac{A\,\bar{r} - r_f}{\sigma(r_t)\sqrt{A}}

Sortino Ratio

So = \frac{A\,\bar{r} - r_f}{\sqrt{\mathbb{E}[\min(0,\,r_t - r_f/A)^2]}\,\sqrt{A}}

Maximum Drawdown

MDD = \min_t\left(\frac{P_t}{\max_{s \le t} P_s} - 1\right)

Average Correlation

\rho = \frac{\operatorname{cov}(r^A,\,r^B)}{\sigma_A\,\sigma_B}

Log returns

\ell_t = \ln\left(\frac{P_t}{P_{t-1}}\right)

Notation

$P_t$: Price on day t.
$r_t$: Simple daily return.
$\ell_t$: Log daily return.
$\bar{r}$: Average daily return.
$\sigma(r_t)$: Standard deviation of daily returns.
$A$: Annualization factor (days/year).
$r_f$: Annual risk-free rate.

Shopify vs Amazon: Frequently Asked Questions

Which has higher volatility: SHOP or AMZN?

SHOP showed higher volatility at 58.2% annualized, compared to 31.1% for AMZN Over the past year. Higher volatility means larger price swings in both directions.

Does SHOP provide diversification when held with AMZN?

SHOP and AMZN are moderately correlated over the past year, with an average correlation of 0.41. This offers some diversification benefit, though they still tend to move together during major market moves.

How bad are the worst 5% days for SHOP vs AMZN?

Over the past year, SHOP's 5% VaR was -6.64% and its 5% Expected Shortfall was -8.44% (worst 12 days). AMZN's were -3.15% and -4.44% (worst 13 days).

Do SHOP and AMZN crash together on bad days?

On shared dates (n=237), when AMZN has a 2σ down day, SHOP also does 14.3% (1/7 days). In the other direction, when SHOP has one, AMZN also does 14.3% (1/7 days).

Which has better risk-adjusted returns: SHOP or AMZN?

AMZN showed better risk-adjusted performance with a Sharpe ratio of 0.36 versus SHOP's 0.09 Over the past year.

Can SHOP and AMZN be combined in a portfolio?

Yes, though allocation sizing matters. Their moderate correlation offers some diversification benefits. SHOP's higher volatility (58.2%) means even small allocations can materially impact overall portfolio risk.

Explore our financial glossary

Which is a better investment: SHOP or AMZN?

Share This Comparison of SHOP vs AMZN

Relative Performance of SHOP vs AMZN (Normalized to 100)

Trade SHOP or AMZN

Key Takeaways

Investment Comparison

Shopify vs Amazon Performance Over Time

Shopify vs Amazon Correlation

Drawdown

Shopify vs Amazon Volatility (SHOP vs AMZN)

Risk-adjusted ratios

Sharpe Ratio of SHOP and AMZN

Sharpe Ratio: SHOP vs. AMZN

Sortino Ratio of SHOP and AMZN

Sortino Ratio: SHOP vs. AMZN

Calmar Ratio of SHOP and AMZN

Calmar Ratio: SHOP vs. AMZN

Sterling Ratio of SHOP and AMZN

Sterling Ratio: SHOP vs. AMZN

Treynor Ratio of SHOP and AMZN

Treynor Ratio: SHOP vs. AMZN

Ulcer Index of SHOP and AMZN

Ulcer Index: SHOP vs. AMZN

Tail Risk & Distribution Shape (1-Year): Shopify vs. Amazon

Tail Risk & Distribution Shape: SHOP vs. AMZN (1-Year)

Downside co-moves (2σ) — 1-Year

Downside co-move map: SHOP vs. AMZN (2σ)

Days when both SHOP and AMZN had a big down day (2σ)

Days when SHOP had a big down day

Days when AMZN had a big down day

Full Comparison of Shopify vs. Amazon (1-Year)

Inputs & conventions

Formulas

Shopify vs Amazon: Frequently Asked Questions

Which has higher volatility: SHOP or AMZN?

Does SHOP provide diversification when held with AMZN?

How bad are the worst 5% days for SHOP vs AMZN?

Do SHOP and AMZN crash together on bad days?

Which has better risk-adjusted returns: SHOP or AMZN?

Can SHOP and AMZN be combined in a portfolio?