AAPY vs. TOLZ
AAPY (Kurv Yield Premium Strategy Apple (AAPL) ETF) and TOLZ (ProShares DJ Brookfield Global Infrastructure ETF) are both exchange-traded funds - AAPY is a Large Cap Blend Equities fund actively managed by Kurv, while TOLZ is a Industrials Equities fund tracking the Dow Jones Brookfield Global Infrastructure Composite Index. AAPY is actively managed, while TOLZ is passively managed. Over the past year, AAPY returned 43.66% vs 13.97% for TOLZ. At a 0.11 correlation, their price movements are largely independent. AAPY charges 0.99%/yr vs 0.46%/yr for TOLZ.
Performance
AAPY vs. TOLZ - Performance Comparison
Loading charts...
Returns By Period
In the year-to-date period, AAPY achieves a 14.66% return, which is significantly higher than TOLZ's 11.31% return.
AAPY
- 1D
- -1.55%
- 1M
- 13.81%
- YTD
- 14.66%
- 6M
- 11.04%
- 1Y
- 43.66%
- 3Y*
- —
- 5Y*
- —
- 10Y*
- —
TOLZ
- 1D
- -0.10%
- 1M
- -1.82%
- YTD
- 11.31%
- 6M
- 11.51%
- 1Y
- 13.97%
- 3Y*
- 14.17%
- 5Y*
- 8.46%
- 10Y*
- 7.75%
AAPY vs. TOLZ - Yearly Performance Comparison
| 2026 (YTD) | 2025 | 2024 | 2023 | |
|---|---|---|---|---|
AAPY Kurv Yield Premium Strategy Apple (AAPL) ETF | 14.66% | 5.04% | 20.54% | 9.23% |
TOLZ ProShares DJ Brookfield Global Infrastructure ETF | 11.31% | 14.76% | 11.67% | 13.61% |
Correlation
The correlation between AAPY and TOLZ is 0.07, meaning there is essentially no relationship between their price movements. Each responds to its own set of market drivers, making them strong candidates for combining in a diversified portfolio.
| Correlation | |
|---|---|
Correlation (1Y) Calculated over the trailing 1-year period | 0.07 |
Correlation (All Time) Calculated using the full available price history since Oct 30, 2023 | 0.11 |
Compare stocks, funds, or ETFs
Search for stocks, ETFs, and funds for a quick comparison or use the comparison tool for more options.
Return for Risk
AAPY vs. TOLZ — Risk / Return Rank
AAPY
TOLZ
AAPY vs. TOLZ - Risk-Adjusted Trends Comparison
This table presents a comparison of risk-adjusted performance metrics for Kurv Yield Premium Strategy Apple (AAPL) ETF (AAPY) and ProShares DJ Brookfield Global Infrastructure ETF (TOLZ). Risk-adjusted metrics are performance indicators that assess an investment's returns in relation to its risk, enabling a more accurate comparison of different investment options.
| AAPY | TOLZ | Difference | |
|---|---|---|---|
| Sharpe ratioReturn per unit of total volatility | +0.69 | ||
| Sortino ratioReturn per unit of downside risk | +0.81 | ||
| Omega ratioGain probability vs. loss probability | 1.38 | 1.23 | +0.15 |
| Calmar ratioReturn relative to maximum drawdown | 3.03 | 2.71 | +0.32 |
| Martin ratioReturn relative to average drawdown | 8.23 | 8.20 | +0.03 |
Data is calculated on a 1-year rolling basis and updated daily. The trend shows the change in the indicator over the past month. | |||
Loading charts...
Sharpe Ratios by Period
| AAPY | TOLZ | Difference | |
|---|---|---|---|
Sharpe Ratio (1Y)Calculated over the trailing 1-year period | 2.05 | 1.36 | +0.69 |
Sharpe Ratio (5Y)Calculated over the trailing 5-year period | — | 0.61 | — |
Sharpe Ratio (10Y)Calculated over the trailing 10-year period | — | 0.48 | — |
Sharpe Ratio (All Time)Calculated using the full available price history | 0.87 | 0.41 | +0.46 |
Drawdowns
AAPY vs. TOLZ - Drawdown Comparison
The maximum AAPY drawdown since its inception was -29.22%, smaller than the maximum TOLZ drawdown of -39.33%. Use the drawdown chart below to compare losses from any high point for AAPY and TOLZ.
Loading charts...
Drawdown Indicators
| AAPY | TOLZ | Difference | |
|---|---|---|---|
Max DrawdownLargest peak-to-trough decline | -29.22% | -39.33% | +10.11% |
Max Drawdown (1Y)Largest decline over 1 year | -14.47% | -5.18% | -9.29% |
Max Drawdown (3Y)Largest decline over 3 years | — | -11.94% | — |
Max Drawdown (5Y)Largest decline over 5 years | — | -21.85% | — |
Max Drawdown (10Y)Largest decline over 10 years | — | -39.33% | — |
Current DrawdownCurrent decline from peak | -1.55% | -3.13% | +1.58% |
Average DrawdownAverage peak-to-trough decline | -6.34% | -6.63% | +0.29% |
Ulcer IndexDepth and duration of drawdowns from previous peaks | 5.32% | 1.71% | +3.61% |
Volatility
AAPY vs. TOLZ - Volatility Comparison
Kurv Yield Premium Strategy Apple (AAPL) ETF (AAPY) has a higher volatility of 6.18% compared to ProShares DJ Brookfield Global Infrastructure ETF (TOLZ) at 3.37%. This indicates that AAPY's price experiences larger fluctuations and is considered to be riskier than TOLZ based on this measure. The chart below showcases a comparison of their rolling one-month volatility.
Loading charts...
Volatility by Period
| AAPY | TOLZ | Difference | |
|---|---|---|---|
Volatility (1M)Calculated over the trailing 1-month period | 6.18% | 3.37% | +2.81% |
Volatility (6M)Calculated over the trailing 6-month period | 17.77% | 8.20% | +9.57% |
Volatility (1Y)Calculated over the trailing 1-year period | 21.42% | 10.29% | +11.13% |
Volatility (5Y)Calculated over the trailing 5-year period, annualized | 22.58% | 13.99% | +8.59% |
Volatility (10Y)Calculated over the trailing 10-year period, annualized | 22.58% | 16.29% | +6.29% |
AAPY vs. TOLZ - Expense Ratio Comparison
AAPY has a 0.99% expense ratio, which is higher than TOLZ's 0.46% expense ratio.
Dividends
AAPY vs. TOLZ - Dividend Comparison
AAPY's dividend yield for the trailing twelve months is around 11.30%, more than TOLZ's 3.66% yield.
| Position | TTM | 2025 | 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
AAPY Kurv Yield Premium Strategy Apple (AAPL) ETF | 11.30% | 12.66% | 17.15% | 2.16% | 0.00% | 0.00% | 0.00% | 0.00% | 0.00% | 0.00% | 0.00% | 0.00% |
TOLZ ProShares DJ Brookfield Global Infrastructure ETF | 3.66% | 3.99% | 3.53% | 3.34% | 3.01% | 3.28% | 3.16% | 2.96% | 3.63% | 3.30% | 2.62% | 3.67% |
Frequently Asked Questions
AAPY and TOLZ have a correlation of 0.07, meaning they provide meaningful diversification benefit when combined. Depending on your allocation goals, holding both could reduce overall portfolio risk.
AAPY has higher volatility (6.18%) compared to TOLZ (3.37%). In terms of maximum drawdown, AAPY dropped -29.22% vs TOLZ's -39.33%.
On 1-year performance, AAPY leads with 43.66% vs 13.97% for TOLZ. On fees, TOLZ is cheaper at 0.46% per year. On volatility, TOLZ has been the lower-risk option at 3.37%. The better choice depends on whether you care most about return, fees, risk, or income.
Over the 1-year period, AAPY has performed better with a 43.66% return vs 13.97%. Past performance does not guarantee future results, so compare this with risk, fees, and fund exposure.
TOLZ is cheaper with a 0.46% expense ratio, compared with 0.99% for AAPY.
AAPY has the higher dividend yield at 11.30%, compared with 3.66% for TOLZ.
AAPY is categorized as Large Cap Blend Equities, while TOLZ is Industrials Equities. They also come from different issuers: Kurv and ProShares. Their fees differ too: 0.99% for AAPY and 0.46% for TOLZ.
AAPY currently has the higher Sharpe Ratio (2.05 vs 1.36), meaning it's delivered slightly more return per unit of risk over the trailing 12 months. However, this ranking shifts over time - use the Risk/Return Score above for a more comprehensive view that combines Sharpe, Sortino, and other measures used by quantitative funds.
Find the right allocation for AAPY and TOLZ
Add both to a portfolio and optimize allocations for your target — whether that's maximizing returns, minimizing drawdowns, or balancing risk across holdings.
Open Portfolio Optimizer