What is a risk parity portfolio, how does it differ from traditional 60/40 allocation, and what role does leverage play?

Question

AcadiFi · Accepted Answer

**Risk parity** is a portfolio construction approach where each asset class contributes **equally to total portfolio risk**, rather than receiving equal capital allocations. The concept was popularized by Bridgewater Associates' All Weather Fund and has become a mainstream institutional strategy.

**The Problem with 60/40**

A traditional 60% equity / 40% bond portfolio appears balanced by capital weight, but equity risk dominates because equities are ~3x more volatile than bonds:

| Asset | Weight | Volatility | Risk Contribution |
|---|---|---|---|
| Equities | 60% | 16% | **~90% of total risk** |
| Bonds | 40% | 5% | **~10% of total risk** |

The "balanced" portfolio is really a concentrated equity bet.

**Risk Parity Construction**

To equalize risk contributions, you must **overweight low-volatility assets** (bonds) and **underweight high-volatility assets** (equities).

For a simple two-asset case, the risk parity weight for asset i is approximately:

**w_i proportional to 1 / sigma_i**

**Worked Example — Pendleton Endowment**

Four asset classes:

| Asset | Volatility | Inverse Vol | RP Weight |
|---|---|---|---|
| Global Equities | 16% | 0.0625 | 18.4% |
| Government Bonds | 5% | 0.2000 | 58.9% |
| Commodities | 20% | 0.0500 | 14.7% |
| TIPS | 8% | 0.1250 | 36.8% |

Wait — the weights sum to 128.8%! That is intentional. Risk parity portfolios are typically **levered** because the unlevered version is dominated by bonds and produces low returns.

**Normalized to 100% (unlevered):**

| Asset | Unlevered RP Weight | Risk Contribution |
|---|---|---|
| Global Equities | 14.3% | ~25% |
| Government Bonds | 45.7% | ~25% |
| Commodities | 11.4% | ~25% |
| TIPS | 28.6% | ~25% |

```mermaid
flowchart LR
    subgraph Traditional 60/40
        A["Equities 60%: 90% risk"]
        B["Bonds 40%: 10% risk"]
    end
    subgraph Risk Parity
        C["Equities 14%: 25% risk"]
        D["Bonds 46%: 25% risk"]
        E["Commodities 11%: 25% risk"]
        F["TIPS 29%: 25% risk"]
    end
```

**The Role of Leverage**

The unlevered risk parity portfolio has an expected return of only ~4-5% (bond-dominated). To achieve equity-like returns (7-8%), the portfolio is **levered 1.5-2.0x** using futures or repo financing.

- **Unlevered RP expected return:** 4.8%, volatility 6.2%
- **Levered 1.5x expected return:** 7.2%, volatility 9.3%
- **Sharpe ratio (both):** ~0.52 (leverage does not change the Sharpe ratio, only scales it)

**Key Risks:**
- Leverage amplifies drawdowns during correlated sell-offs (bonds and equities declining together, as in 2022)
- Financing costs erode returns when short-term rates rise
- Assumes stable correlations — the 2022 regime showed bonds and equities can be positively correlated

**Exam Tip:** FRM questions may ask you to compute risk contributions, identify why 60/40 is dominated by equity risk, or explain when risk parity underperforms (rising rate environments where leverage costs increase and bonds decline).

For more on portfolio construction, check our FRM Part I question bank.

What is a risk parity portfolio, how does it differ from traditional 60/40 allocation, and what role does leverage play?

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