Quant GT
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Section 22 · Lesson 22.5

Risk Parity

Allocating by risk contribution, not capital.

Risk parity allocates capital so that each asset contributes equally to total portfolio risk:

RCi=wiσpwi=wi(Σw)iσp\text{RC}_i = w_i\, \frac{\partial \sigma_p}{\partial w_i} = \frac{w_i (\Sigma w)_i}{\sigma_p}

In a 60/4060/40 stock/bond portfolio, equities typically contribute 90%\sim 90\% of the risk. Risk parity flips this: weight bonds heavier so each asset's risk contribution is balanced.

Pros: more diversified by risk, often a smoother return profile, less concentrated in any single risk source. Cons: typically uses leverage (bonds need to be levered up to match equity volatility), sensitive to interest-rate shocks, performance can suffer in regime changes (e.g. when rates rise broadly).

Bridgewater's All Weather is the most famous risk-parity portfolio. The idea generalizes to factor risk parity (equal contribution from each macro factor) and "hierarchical" risk parity that accounts for correlations.