Nu Holdings vs PayPal (NU vs PYPL) 2026: Stock Returns, Risk & Volatility

Q: Which is a better investment: NU or PYPL?

Over the past year, NU looks like the better investment: it had higher total return (NU -1.6% vs PYPL -37.3%) and a higher Sharpe ratio (NU 0.03 vs PYPL -1.11). On risk, NU was less volatile (NU 37.7% vs PYPL 39.1%), NU had a smaller max drawdown (NU -29.3% vs PYPL -49.9%), and NU had less severe losses on the worst 5% of days (Expected Shortfall of NU -5.81% vs PYPL -6.62%).

Written by Gale Finance Team

Reviewed by Sid Kalla CFA Charterholder

Quick answer

Which is a better investment: NU or PYPL?

Over the past year, NU outperformed PYPL. NU returned -1.6% compared with PYPL’s -37.3%. NU had the better risk-adjusted return, with a Sharpe ratio of 0.03 versus PYPL’s -1.11. NU was less volatile than PYPL, and NU had a smaller max drawdown than PYPL.

Total Return

NU -1.6%

PYPL -37.3%

Sharpe Ratio

NU 0.03

PYPL -1.11

Annualized Volatility

NU 37.7%

PYPL 39.1%

Max Drawdown

NU -29.3%

PYPL -49.9%

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

NU Total Return

↓ -1.6%

PYPL Total Return

↓ -37.3%

Relative Performance of NU vs PYPL (Normalized to 100)

NU PYPL

Normalized to 100 at start date for comparison

Trade NU or PYPL

Access these assets on trusted platforms.

Hyperliquid

Trade perpetual futures exposure where supportedNUPYPLTrade on Hyperliquid

Binance

Trade futures exposure on a global exchange where supportedNUPYPLTrade on Binance

Affiliate disclosure

Key Takeaways

Total Return: NU delivered a -1.6% total return, while PYPL returned -37.3% over the same period. NU outperformed on total returns.
Risk-Adjusted Return (Sharpe Ratio): PYPL had a negative Sharpe (-1.11) while NU was positive (0.03), indicating NU had meaningfully better risk-adjusted performance in this period.
Volatility (Annualized): PYPL was more volatile, with 39.1% annualized volatility, versus 37.7% for NU.
Maximum Drawdown: NU's maximum drawdown was -29.3%, while PYPL experienced a deeper drawdown of -49.9%.
Tail Risk (VaR & Expected Shortfall): At the 5% level (daily log returns), NU's VaR was -3.39% and its Expected Shortfall (CVaR) was -5.81%; PYPL's were -3.40% and -6.62%. VaR is the cutoff; Expected Shortfall is the average move on the worst days.
Skew & Kurtosis: Skew: NU -0.24 vs PYPL -3.02. Excess kurtosis: NU 2.73 vs PYPL 23.81. Negative skew leans downside; higher excess kurtosis means fatter tails.
Tail Days & Extremes: 2σ tail days (down/up): NU 9/7, PYPL 6/2. Worst day: NU -9.55% (2026-02-26) vs PYPL -20.31% (2026-02-03). Best day: NU +9.08% (2025-08-15) vs PYPL +6.74% (2026-02-24).
Risk ratios: Sortino - NU: 0.05 vs. PYPL: -1.33 , Calmar - NU: -0.06 vs. PYPL: -0.75 , Sterling - NU: -0.35 vs. PYPL: -0.83 , Treynor - NU: 0.01 vs. PYPL: -0.32 , Ulcer Index - NU: 12.11% vs. PYPL: 25.61%

Investment Comparison

If you invested $10,000 in each asset on May 14, 2025:

NU $9,836.92 -1.6%

PYPL $6,266.63 -37.3%

Difference: $3,570.29 (NU ahead)

Nu Holdings vs PayPal Performance Over Time

Metric	NU	PYPL
30 Days	-11.3%	0.4%
90 Days	-23.8%	12.3%
180 Days	-14.9%	-30.3%
1 Year	-1.6%	-37.3%

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

Nu Holdings vs PayPal Correlation

Average Correlation

weakly correlated

0.26

Current (30-day) 0.03

30-day rolling range -0.05 to +0.60

Nu Holdings and PayPal are weakly correlated over the past year. With a correlation of 0.26, these assets show meaningful independence, offering diversification benefits when held together.

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

Metric	Value
Current (30-day)	0.03
Average (full period)	0.26
Minimum (30-day rolling)	-0.05
Maximum (30-day rolling)	0.60

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

-29.3%

PYPL

-49.9%

Nu Holdings experienced its maximum drawdown of -29.3% from 2026-01-28 to 2026-05-12. It has not yet recovered to its previous peak.

PayPal experienced its maximum drawdown of -49.9% from 2025-07-28 to 2026-02-12. It has not yet recovered to its previous peak.

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

Nu Holdings vs PayPal Volatility (NU vs PYPL)

NU Volatility

37.7%

±2.38% 1-day vol

PYPL Volatility

39.1%

±2.46% 1-day vol

1-day volatility (1σ)

±2.38%

PYPL

±2.46%

Nu Holdings's 37.7% annualized volatility translates to about ±2.38% one-standard-deviation daily volatility.

PayPal's 39.1% annualized volatility translates to about ±2.46% one-standard-deviation daily volatility.

PYPL had the wider volatility profile over this window. That means its day-to-day return distribution was broader; NU 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 NU and PYPL

Sharpe Ratio: NU vs. PYPL

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. PYPL had a negative Sharpe (-1.11) while NU was positive (0.03), indicating NU 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 NU and PYPL

Sortino Ratio: NU vs. PYPL

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). NU 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: NU 26.9% vs PYPL 32.6%. 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 NU and PYPL

Calmar Ratio: NU vs. PYPL

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. NU 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 NU and PYPL

Sterling Ratio: NU vs. PYPL

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%). NU 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 NU and PYPL

Treynor Ratio: NU vs. PYPL

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. NU 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 NU and PYPL

Ulcer Index: NU vs. PYPL

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. NU 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): Nu Holdings vs. PayPal

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: NU vs. PYPL (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)	NU	PYPL
5% VaR (daily log return)	-3.39%	-3.40%
5% Expected Shortfall (CVaR)	-5.81% (worst 13 days)	-6.62% (worst 13 days)
Skew	-0.24	-3.02
Excess kurtosis	2.73	23.81
2σ tail days (down / up)	9 / 7	6 / 2
Worst day	-9.55% (2026-02-26)	-20.31% (2026-02-03)
Best day	+9.08% (2025-08-15)	+6.74% (2026-02-24)

Downside co-moves (2σ) — 1-Year

Computed on shared dates only (n=249). 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: NU vs. PYPL (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 NU and PYPL 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 NU and PYPL had a big down day (2σ)

None in this window.

Days when NU had a big down day

Date (interval)	NU	PYPL
2025-05-21	-6.11%	-1.32%
2025-06-12	-5.96%	+0.27%
2025-07-18	-6.93%	+0.42%
2025-10-01	-5.12%	-0.60%
2025-12-05	-5.38%	+0.89%
2026-01-30	-5.38%	-0.79%
2026-02-04	-6.07%	-1.61%
2026-02-20 → 2026-02-23	-7.64%	+5.76%
2026-02-26	-9.55%	-3.78%

Days when PYPL had a big down day

Date (interval)	NU	PYPL
2025-06-13	-0.83%	-5.32%
2025-07-11	-1.53%	-5.73%
2025-07-29	+0.16%	-8.66%
2025-10-10	-2.93%	-7.80%
2026-02-03	+0.06%	-20.31%
2026-05-05	+0.64%	-7.74%

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 Nu Holdings vs. PayPal (1-Year)

Metric	NU	PYPL
Total Return	-1.6%	-37.3%
Annualized Volatility	37.7%	39.1%
Sharpe Ratio	0.03	-1.11
Sortino Ratio	0.05	-1.33
Calmar Ratio	-0.06	-0.75
Sterling Ratio	-0.35	-0.83
Treynor Ratio	0.01	-0.32
Ulcer Index	12.11%	25.61%
Max Drawdown	-29.3%	-49.9%
Avg Correlation to S&P 500	0.46	0.46
5% VaR (daily log return)	-3.39%	-3.40%
5% Expected Shortfall (CVaR)	-5.81%	-6.62%
Skew	-0.24	-3.02
Excess kurtosis	2.73	23.81
2σ tail days (down / up)	9 / 7	6 / 2

Audit this calculation

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

Inputs & conventions

Shared window for pair metrics: 2025-05-14 → 2026-05-12 (last shared close).
Rolling correlation sample (shared closes): 220 rolling 30-day values (from 249 shared daily returns).
Annualization (days/year): NU: 252 days/year; PYPL: 252 days/year.
Risk-free rate: Uses the 3-month U.S. Treasury yield (FRED: DGS3MO), averaged over each asset’s window:

NU: 4.15% over 2025-05-14 → 2026-05-12.

PYPL: 4.15% over 2025-05-14 → 2026-05-12.
Volatility drag (rule of thumb): Estimated from annualized volatility (simple returns). For the log-return framing, see Log returns.

NU: ≈ -7.1%/yr

PYPL: ≈ -7.6%/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.

Nu Holdings vs PayPal: Frequently Asked Questions

Which has higher volatility: NU or PYPL?

PYPL showed higher volatility at 39.1% annualized, compared to 37.7% for NU Over the past year. Higher volatility means larger price swings in both directions.

Does NU provide diversification when held with PYPL?

NU and PYPL are weakly correlated over the past year, with an average correlation of 0.26. This weak correlation suggests meaningful diversification benefits when held together.

How bad are the worst 5% days for NU vs PYPL?

Over the past year, NU's 5% VaR was -3.39% and its 5% Expected Shortfall was -5.81% (worst 13 days). PYPL's were -3.40% and -6.62% (worst 13 days).

Do NU and PYPL crash together on bad days?

On shared dates (n=249), when PYPL has a 2σ down day, NU also does 0.0% (0/6 days). In the other direction, when NU has one, PYPL also does 0.0% (0/9 days).

Which has better risk-adjusted returns: NU or PYPL?

PYPL had a negative Sharpe (-1.11) while NU was positive (0.03) Over the past year, indicating NU had meaningfully better risk-adjusted performance.

Can NU and PYPL be combined in a portfolio?

Yes, though allocation sizing matters. Their weak correlation could meaningfully reduce overall portfolio variance. PYPL's higher volatility (39.1%) means even small allocations can materially impact overall portfolio risk.

Explore our financial glossary

Which is a better investment: NU or PYPL?

Share This Comparison of NU vs PYPL

Relative Performance of NU vs PYPL (Normalized to 100)

Trade NU or PYPL

Key Takeaways

Investment Comparison

Nu Holdings vs PayPal Performance Over Time

Nu Holdings vs PayPal Correlation

Drawdown

Nu Holdings vs PayPal Volatility (NU vs PYPL)

Risk-adjusted ratios

Sharpe Ratio of NU and PYPL

Sharpe Ratio: NU vs. PYPL

Sortino Ratio of NU and PYPL

Sortino Ratio: NU vs. PYPL

Calmar Ratio of NU and PYPL

Calmar Ratio: NU vs. PYPL

Sterling Ratio of NU and PYPL

Sterling Ratio: NU vs. PYPL

Treynor Ratio of NU and PYPL

Treynor Ratio: NU vs. PYPL

Ulcer Index of NU and PYPL

Ulcer Index: NU vs. PYPL

Tail Risk & Distribution Shape (1-Year): Nu Holdings vs. PayPal

Tail Risk & Distribution Shape: NU vs. PYPL (1-Year)

Downside co-moves (2σ) — 1-Year

Downside co-move map: NU vs. PYPL (2σ)

Days when both NU and PYPL had a big down day (2σ)

Days when NU had a big down day

Days when PYPL had a big down day

Full Comparison of Nu Holdings vs. PayPal (1-Year)

Inputs & conventions

Formulas

Nu Holdings vs PayPal: Frequently Asked Questions

Which has higher volatility: NU or PYPL?

Does NU provide diversification when held with PYPL?

How bad are the worst 5% days for NU vs PYPL?

Do NU and PYPL crash together on bad days?

Which has better risk-adjusted returns: NU or PYPL?

Can NU and PYPL be combined in a portfolio?