Quantitative Risk & Benchmark Performance (QuantStats • VNQ)
Empirical 252-day trading window compared to Vanguard Real Estate ETF (VNQ) benchmark
METHODOLOGY: QUANTSTATS / CAPM
Beta vs VNQ
0.88
Index Tracking (Market Neutral)
Annualized Alpha (α)
+19.10%
Outperforming VNQ
Sharpe Ratio (vs VNQ)
0.73 vs 0.04
+0.69 Spread
Max Drawdown (1-Yr)
-14.1% vs -11.4%
-2.7% vs VNQ
| Quantitative Risk & Return Metric | AHR | VNQ (Benchmark) | Institutional Delta / Spread |
|---|---|---|---|
|
Beta (β) vs VNQ
Covariance sensitivity to US REIT market
|
0.88 | 1.00 | -0.12 (Index Tracking (Market Neutral)) |
|
Annualized Alpha (α)
Excess CAPM risk-adjusted performance
|
+19.10% | 0.00% (Baseline) | Outperforming VNQ |
|
Sharpe Ratio (Rf = 4.5%)
Annualized excess return per unit of volatility
|
0.73 | 0.04 | +0.69 |
|
Sortino Ratio
Downside semi-variance risk-adjusted return
|
0.73 | 0.03 | +0.70 |
|
Annualized Volatility (σ)
Standard deviation of daily price returns × √252
|
25.9% | 13.9% | +12.0% (Higher Volatility) |
|
Maximum Drawdown (1-Year)
Peak-to-trough capital decline over trailing 12M
|
-14.1% | -11.4% | -2.7% vs VNQ |
|
1-Year Trailing Return (CAGR)
Compounded annual growth rate
|
22.3% | 4.1% | +18.2% Spread |
|
R-Squared (R²) & Correlation
Statistical correlation coefficient against VNQ
|
R² 0.22 | Corr: 0.47 | 22% variance explained by VNQ |
|
Trading Session Win Rate
Percentage of positive daily closing sessions
|
53.2% | 51.6% | +1.6% vs Benchmark |
QuantStats Analytical Synthesis: AHR displays a Beta of 0.88 relative to VNQ with 0.22 R² correlation. Annualized volatility is 25.9% (12.0% higher than VNQ at 13.9%). Trailing 12-month Alpha stands at +19.10% (Outperforming VNQ) with a Sharpe ratio of 0.73 against 0.04 for VNQ, and a maximum drawdown of -14.1%.