Revolvertech

Empowering Home Computing, Exploring Technology, Immersing in the Gaming Zone, and Unveiling the Business World

Risk Budgeting: Running Two Mandates in One Portfolio

A portfolio described as 90% long-term holdings and 10% active trading sounds conservatively arranged. The description is about capital, and capital is not what determines how the portfolio behaves.

What matters is how much of the total risk each part contributes. A small allocation to something several times more volatile than the rest can account for a share of portfolio risk far larger than its capital weight suggests, and the gap between the two figures is invisible unless someone calculates it.

For anyone running a stable core alongside an active sleeve, that calculation is the difference between an intended structure and an accidental one.

Where the Two Mandates Diverge

Asking investing vs trading what is the difference usually produces an answer about time horizon. Risk budgeting gives a more useful one, because it describes what each part is actually doing to the portfolio.

The two mandates differ across several dimensions at once:

  • Volatility, since concentrated or leveraged positions typically carry more of it
  • Correlation to the core, which determines whether the sleeve diversifies or amplifies
  • Turnover, which changes the exposure profile continuously rather than annually
  • Position count, as fewer holdings mean more idiosyncratic risk per position
  • Time to recovery, because a core has decades and a trade has weeks

Capital weight captures none of these. Risk contribution captures most of them in a single number.

What Risk Contribution Actually Measures

The concept is easier to grasp through an example than a formula.

One illustration of a multi-asset portfolio shows that an equity allocation representing 55% of capital consumed 70% of the risk budget, while bonds at 35% of capital contributed only 20% of portfolio risk, because equities carry higher volatility and were moderately correlated with the remaining allocation.

The same analysis names the most common error directly: assuming capital allocation equals risk allocation.

Applied to a core and satellite structure, the arithmetic usually runs one way:

  • A volatile sleeve punches above its capital weight, sometimes by a factor of several
  • Correlation with the core amplifies this, since related exposures compound rather than offset
  • Leverage multiplies it again, as borrowed exposure scales volatility directly
  • Concentration adds idiosyncratic risk that diversification within the core doesn’t offset

So a 10% sleeve holding a handful of leveraged positions can plausibly account for a third or more of total portfolio volatility. The statement “only 10% is at risk” is then false in every sense except the accounting one.

The Formal Version

The approach has a proper theoretical grounding, which is worth knowing exists even if the full machinery isn’t needed.

Academic work describes risk budgeting portfolios as strategies where each asset contributes a prespecified amount to the aggregate risk of the portfolio, diversifying risk among assets rather than capital, with the equal-contribution case known as risk parity.

Institutional managers implement this with covariance matrices and optimisation. An individual doesn’t need that. The useful part is the reframing: decide how much risk each part of the portfolio should contribute, then work backwards to the capital weight that produces it.

That’s the reverse of how most people build a portfolio, and it’s a more direct route to the outcome they actually want.

Sizing a Trading Sleeve by Risk

A simplified version needs only a spreadsheet and some historical data:

  • Estimate each sleeve’s volatility from its own return history, over a period long enough to include a drawdown
  • Set a target risk share for the active sleeve, expressed as a percentage of total portfolio risk
  • Work back to the capital weight that produces that risk share
  • Check the result against intuition, because it’s usually smaller than expected
  • Recalculate after significant moves, since a strong run raises the sleeve’s risk contribution automatically

The final point handles the drift problem. A sleeve that performs well grows in capital terms and grows faster in risk terms, so a structure left unrebalanced becomes progressively more aggressive without any decision being made.

Where Correlation Breaks the Model

The main limitation is that correlations aren’t stable, and they tend to move in the least helpful direction.

Relationships measured during calm periods frequently converge toward one during stress, which means a risk budget calibrated in normal conditions understates the risk that shows up in a crisis. Positions that looked like diversifiers behave like the same position when it matters.

There’s no clean fix. Using stress-period correlations rather than long-run averages produces a more conservative budget, and treating any calculated figure as an estimate rather than a measurement is the appropriate posture.

What a Simplified Version Gets You

None of this requires institutional tooling to be useful. The value comes from the question rather than the precision.

An investor who has calculated, however roughly, that their 10% sleeve contributes 35% of portfolio volatility knows something they didn’t know from the account statement. Whether that’s acceptable is a personal judgement. Making it knowingly rather than by default is the point.