Asset Allocation
| Position | Category/Sector | Target Weight |
|---|---|---|
BND Vanguard Total Bond Market ETF | Total Bond Market | 20% |
VUAA.DE Vanguard S&P 500 UCITS USD Acc ETF | S&P 500 | 80% |
Performance
Performance Chart
The chart shows the growth of an initial investment of €10,000 in pai, comparing it to the performance of the S&P 500 index or another benchmark. All prices have been adjusted for splits and dividends. The portfolio is rebalanced Every 3 months.
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The earliest data available for this chart is Feb 4, 2020, corresponding to the inception date of VUAA.DE
Returns By Period
| 1D | 1M | YTD | 6M | 1Y | 3Y* | 5Y* | 10Y* | |
|---|---|---|---|---|---|---|---|---|
Benchmark S&P 500 Index | 2.03% | -0.34% | -0.12% | 0.22% | 27.97% | 15.68% | 10.90% | 12.47% |
Portfolio pai | 1.61% | -0.23% | -0.66% | 0.28% | 18.08% | 13.75% | 9.94% | — |
| Portfolio components: | ||||||||
BND Vanguard Total Bond Market ETF | 0.00% | -1.26% | 0.83% | 0.52% | -1.08% | 0.99% | 0.63% | 1.40% |
VUAA.DE Vanguard S&P 500 UCITS USD Acc ETF | 2.07% | -0.14% | -1.21% | 0.03% | 23.11% | 16.94% | 12.19% | — |
Monthly Returns
Based on dividend-adjusted daily data since Feb 5, 2020, pai's average daily return is +0.04%, while the average monthly return is +0.88%. At this rate, your investment would double in approximately 6.6 years.
Historically, 59% of months were positive and 41% were negative. The best month was Jul 2022 with a return of +9.9%, while the worst month was Feb 2020 at -8.6%. The longest winning streak lasted 6 consecutive months, and the longest losing streak was 3 months.
On a daily basis, pai closed higher 55% of trading days. The best single day was Mar 24, 2020 with a return of +6.8%, while the worst single day was Mar 12, 2020 at -7.2%.
| Jan | Feb | Mar | Apr | May | Jun | Jul | Aug | Sep | Oct | Nov | Dec | Total | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2026 | -0.49% | 0.09% | -2.97% | 2.79% | -0.66% | ||||||||
| 2025 | 3.14% | -2.54% | -8.06% | -5.03% | 5.28% | 0.82% | 5.49% | -1.16% | 2.39% | 4.20% | -0.30% | -0.61% | 2.68% |
| 2024 | 3.67% | 3.27% | 3.17% | -1.99% | 0.92% | 5.98% | -0.10% | -0.71% | 1.48% | 2.07% | 7.58% | -0.59% | 27.24% |
| 2023 | 3.67% | 0.68% | 0.23% | -0.06% | 3.66% | 2.92% | 1.61% | 0.52% | -1.71% | -2.89% | 5.03% | 3.59% | 18.33% |
| 2022 | -4.92% | -1.67% | 4.53% | -2.18% | -3.43% | -4.44% | 9.93% | -1.27% | -4.69% | 3.48% | -1.91% | -5.94% | -12.88% |
| 2021 | 0.82% | 2.53% | 5.95% | 1.71% | -1.16% | 5.30% | 2.09% | 3.04% | -1.54% | 4.84% | 2.35% | 3.30% | 33.11% |
Benchmark Metrics
pai has an annualized alpha of 4.96%, beta of 0.39, and R² of 0.32 versus S&P 500 Index. Calculated based on daily prices since February 05, 2020.
- This portfolio participated in 81.79% of S&P 500 Index downside but only 75.94% of its upside — more exposed to losses than it benefited from rallies.
- Beta of 0.39 may look defensive, but with R² of 0.32 this portfolio is largely uncorrelated with S&P 500 Index — low beta reflects independence, not downside protection. See the Volatility section for a true picture of this portfolio's risk.
- R² of 0.32 means the benchmark explains less than half of this portfolio's behavior — treat beta with caution or consider switching to a more representative benchmark.
- Alpha
- 4.96%
- Beta
- 0.39
- R²
- 0.32
- Upside Capture
- 75.94%
- Downside Capture
- 81.79%
Expense Ratio
pai has an expense ratio of 0.06%, which is considered low. Below, you can find the expense ratios of the portfolio's funds side by side and easily compare their relative costs.
Return for Risk
Risk / Return Rank
pai ranks 22 for risk / return — below 22% of portfolios on our site. The returns aren't fully compensating for the risk involved. This isn't necessarily a dealbreaker, but factor it into your decision — especially if you're risk-averse.
Return / Risk — by metrics
| Portfolio | Benchmark | Difference | |
|---|---|---|---|
Sharpe ratioReturn per unit of total volatility | 1.44 | 1.50 | -0.06 |
Sortino ratioReturn per unit of downside risk | 2.10 | 2.26 | -0.16 |
Omega ratioGain probability vs. loss probability | 1.29 | 1.34 | -0.05 |
Calmar ratioReturn relative to maximum drawdown | 3.07 | 2.55 | +0.52 |
Martin ratioReturn relative to average drawdown | 9.71 | 10.41 | -0.70 |
Data is calculated on a 1-year rolling basis and updated daily. The trend shows the change in the indicator over the past month. | |||
How much return does each position deliver for the risk it carries? Higher values mean better reward for the risk taken.
| Risk / Return Rank | Sharpe ratio | Sortino ratio | Omega ratio | Calmar ratio | Martin ratio | |
|---|---|---|---|---|---|---|
BND Vanguard Total Bond Market ETF | 5 | -0.14 | -0.13 | 0.98 | -0.45 | -0.81 |
VUAA.DE Vanguard S&P 500 UCITS USD Acc ETF | 52 | 1.53 | 2.21 | 1.31 | 3.76 | 12.61 |
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Dividends
Dividend yield
pai provided a 0.78% dividend yield over the last twelve months.
| TTM | 2025 | 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Portfolio | 0.78% | 0.77% | 0.73% | 0.62% | 0.52% | 0.42% | 0.48% | 0.54% | 0.56% | 0.51% | 0.50% | 0.51% |
| Portfolio components: | ||||||||||||
BND Vanguard Total Bond Market ETF | 3.91% | 3.86% | 3.67% | 3.09% | 2.60% | 2.12% | 2.38% | 2.72% | 2.81% | 2.54% | 2.51% | 2.57% |
VUAA.DE Vanguard S&P 500 UCITS USD Acc ETF | 0.00% | 0.00% | 0.00% | 0.00% | 0.00% | 0.00% | 0.00% | 0.00% | 0.00% | 0.00% | 0.00% | 0.00% |
Drawdowns
Drawdowns Chart
The Drawdowns chart displays portfolio losses from any high point along the way. Drawdowns are calculated considering price movements and all distributions paid, if any.
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Worst Drawdowns
The table below displays the maximum drawdowns of the pai. A maximum drawdown is a measure of risk, indicating the largest reduction in portfolio value due to a series of losing trades.
The maximum drawdown for the pai was 27.20%, occurring on Mar 23, 2020. Recovery took 207 trading sessions.
The current pai drawdown is 2.78%.
Depth | Start | To Bottom | Bottom | To Recover | End | Total |
|---|---|---|---|---|---|---|
| -27.2% | Feb 20, 2020 | 23 | Mar 23, 2020 | 207 | Jan 11, 2021 | 230 |
| -19.7% | Feb 11, 2025 | 42 | Apr 9, 2025 | 144 | Oct 29, 2025 | 186 |
| -14.61% | Jan 5, 2022 | 116 | Jun 16, 2022 | 42 | Aug 15, 2022 | 158 |
| -13.93% | Aug 19, 2022 | 95 | Dec 30, 2022 | 242 | Dec 6, 2023 | 337 |
| -6.29% | Jul 17, 2024 | 14 | Aug 5, 2024 | 41 | Oct 1, 2024 | 55 |
Volatility
Volatility Chart
The chart below shows the rolling one-month volatility.
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Diversification
Diversification Metrics
Number of Effective Assets
The portfolio contains 2 assets, with an effective number of assets of 1.47, reflecting the diversification based on asset allocation. This number of effective assets suggests a highly concentrated portfolio, where a few assets dominate the allocation, potentially increasing the portfolio's risk due to lack of diversification.
Asset Correlations Table
| Benchmark | BND | VUAA.DE | Portfolio | |
|---|---|---|---|---|
| Benchmark | 1.00 | 0.20 | 0.58 | 0.59 |
| BND | 0.20 | 1.00 | 0.13 | 0.24 |
| VUAA.DE | 0.58 | 0.13 | 1.00 | 0.99 |
| Portfolio | 0.59 | 0.24 | 0.99 | 1.00 |