Higher Sharpe Ratio? Risk Parity vs Stocks
Table of Contents
Breach Trigger and Correlation Gauge
Stock-bond correlation: +0.28 — above the +0.25 threshold. Equity: 40%, Bond: 40%, Commodity: 20%. Realized vol: 12.5%. Target: 12.0%. Breach: 0.5 percentage points. Trigger met. The RP allocation math reveals weight drift compounds the vol breach by elevating equity's risk share. Rebalance now to restore the risk budget. New target weights: Equity 34%, Bond 46%, Commodity 20%.
| Asset | Weight % | Vol Contribution | Risk Share |
|---|---|---|---|
| Equity | 40 | 50 | 50 |
| Bond | 40 | 30 | 30 |
| Commodity | 20 | 20 | 20 |
Correlation Matrix Delta Under Regime Shift
Equity: 34%, Bond: 46%, Commodity: 20%. Realized vol: 11.8%. Breach: none. Correlation matrix delta: prior regime Equity-Bond +0.18; post-regime +0.32; delta +0.14. The correlation regime shift reduces diversification benefits for the 40/40/20 baseline weighting and reinforces the need for Bond tilt to constrain volatility. The risk-budget math mandates maintaining 34/46/20 to keep total risk within bounds. Rebalance action: align with target weights: Equity 34%, Bond 46%, Commodity 20%.
Execution Path to Target Allocation
Equity: 34%, Bond: 46%, Commodity: 20%. Realized vol: 11.9%. Breach: none. Trigger: breach severity addressed; Execution path is to implement the reweighting now. You place market orders to reduce Equity by 6 percentage points and increase Bond by 6 percentage points, leaving Commodity unchanged. Rebalance within 5 trading days. Target weights: Equity 34%, Bond 46%, Commodity 20%.
| Before | After | Delta |
|---|---|---|
| Equity 40% | 34% | -6% |
| Bond 40% | 46% | +6% |
| Commodity 20% | 20% | 0% |
FAQ
Does risk parity always have higher Sharpe?
No. The risk parity approach does not always exceed the Sharpe of equities; the stock-bond correlation is +0.28 in the observed regime, and the post-rebalance target weights are 34% Equity, 46% Bond, 20% Commodity. The RP construction relies on maintaining the risk budget, not on a guaranteed Sharpe advantage. Source: High-Authority Source (arxiv.org).
How does a correlation spike affect RP Sharpe?
High-Authority Source (arxiv.org).
What is the current target allocation after regime shift?
High-Authority Source (arxiv.org).
Final Allocation Verdict
Rebalancing steps at thresholds are: if realized vol breaches target by 0.5 percentage points or stock-bond correlation breaches +0.25, execute a reweighting to Equity 34%, Bond 46%, Commodity 20% within 5 trading days. This action re-establishes the risk budget and preserves the RP construction's core principle of equalized risk sharing across assets. Target weights: Equity 34%, Bond 46%, Commodity 20%.