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CAIA Level I · Worked application

Funds of Funds Diversification: Look Through the Managers

A fund of funds diversifies only to the extent that its underlying economic exposures differ. Look through manager names to common positions, factors, financing and redemption terms, then compare any risk reduction with the extra costs.

Exam-year note: Funds of Funds is not a separately listed Level I topic in the published 2027 overview. This remains a worked diversification application, not a claim of a separately weighted exam domain.

The key decisions, at a glance

  • 1. Position overlap

    Aggregate the same issuer across underlying managers.

    Watch for: Ten funds can all own the same crowded trade.

  • 2. Factor overlap

    Estimate common equity, credit and volatility exposures.

    Watch for: Different strategy labels may hide similar return drivers.

  • 3. Correlation

    Use covariance as well as individual volatilities.

    Watch for: Calm-period correlation is not a stress guarantee.

  • 4. Liquidity overlap

    Map gates, lockups and financing dependencies.

    Watch for: Diversifying managers does not diversify a common liquidity shock.

Original worked case

How correlation changes a two-manager portfolio

Given: Allocate equally to two funds, each with 10% volatility. Assume a single-period covariance model and no fees or leverage changes.

  1. 01 Variance formula

    σp² = wA²σA² + wB²σB² + 2wAwBσAσBρ.

  2. 02 Correlation 0

    σp = √(0.0025 + 0.0025) = 7.07%.

  3. 03 Correlation 0.8

    σp = √(0.0025 + 0.0025 + 0.004) = 9.49%.

Answer and interpretation

The same manager count and weights produce very different diversification when co-movement changes.

Equal weights, different correlations

% portfolio volatility · scale 0 to 10

Equal weights, different correlations; % portfolio volatility
ScenarioValue
ρ = 07.07
ρ = 0.89.49
ρ = 110

Hypothetical covariance calculation. These are scenarios, not measured fund data.

Change one assumption

At correlation 1, portfolio volatility is 10%. There is no volatility reduction in this equal-volatility example.

Independent teaching example with the stated assumptions. Not an official exam question, marking key or observed market trend.

Understand the method

Part 1

Multiply through the fund layers before adding exposures

An outer allocation weight must be multiplied by the underlying fund’s exposure to obtain a portfolio-level contribution. If 60% of the outer fund is invested in Manager A and A holds 50% in one sector, that path contributes 30% of the outer portfolio to the sector. Add the corresponding contributions from all managers to obtain total look-through exposure.

Use consistent dates and denominators. Cash, derivatives, gross exposures and leveraged funds complicate a simple percentage table. A manager’s “20% exposure” may mean 20% of NAV, gross notional or a risk-adjusted equivalent. Reconcile those definitions before aggregating. Mark missing holdings explicitly; treating unavailable data as zero understates concentration.

Part 2

Distinguish manager count from independent risk

For two assets, portfolio variance is wA²σA² + wB²σB² + 2wAwBρσAσB. Correlation determines how much the two return streams offset each other in this model. Different manager names do not establish low correlation, especially when both hold similar positions or depend on the same financing conditions.

The estimate is also conditional on the measurement period and valuation method. Smoothed or differently dated NAVs can make correlations appear low. Repeat the calculation under a higher-correlation stress and inspect common exposures directly. A variance calculation helps quantify one aspect of diversification but does not capture gates, common counterparties or simultaneous funding needs.

Part 3

Compare diversification after the added costs

The outer fund may reduce some concentration while adding management fees, incentive fees and operating expenses. Calculate the incremental cost on the relevant capital base and compare it with a direct implementation of similar exposure. A reduction in estimated volatility is not automatically enough to justify the added cost; the investor’s objectives and alternatives matter.

Do not subtract a fee percentage from volatility. Fees change net returns and cash flows, while volatility measures return dispersion. Keep the two columns separate, then assess the combined risk-return trade-off. Underlying incentive fees can also be asymmetric because one manager’s gain may generate a fee while another manager’s loss does not refund it.

Part 4

Add a cash-access map to the exposure worksheet

Diversification across assets can coexist with concentrated liquidity risk. Several managers may depend on the same prime broker, impose gates under similar conditions or hold assets that become difficult to sell together. Map each manager’s normal redemption route and a delayed-access scenario, then compare available cash with the outer fund’s obligations.

The completed recommendation should identify the exposure that was reduced, the risk that remains, the cost paid and the evidence quality. If overlap cannot be measured, say so and use conservative limits rather than presenting a precise diversification claim. This worksheet is supplemental: verify how fund structures are treated in your own exam-year materials.

Look-through sector exposure: two managers

A

Outer weight
60%
Technology inside manager
50%
Portfolio technology
30%

B

Outer weight
40%
Technology inside manager
25%
Portfolio technology
10%

Total

Outer weight
100%
Technology inside manager
Not additive
Portfolio technology
40%

Unlevered exposure on the same valuation date. If both managers also own the same issuer, calculate issuer overlap separately.

More worked practice

Original teaching cases. Use the stated assumptions; these are not official exam questions or marking keys.

Look through two managers to one issuer concentration

Given: The outer portfolio invests 60% in Manager A and 40% in B. A has 20% in Issuer X and B has 15% in X. All exposures are unlevered and measured on the same date.

  1. 1A contributes 0.60 × 20% = 12% portfolio exposure to X.
  2. 2B contributes 0.40 × 15% = 6%, giving 18% total exposure.
  3. 3If X loses 40% and every other holding is unchanged, the portfolio loses 18% × 40% = 7.2% before fees.

Interpretation: Two manager allocations still produce a material single-issuer loss. The correlation analysis in the opening case and this holdings analysis answer different diversification questions.

Check your understanding

Answer first, then open the explanation. These checks are original practice and do not generate an exam score.

1. Can two managers each holding 30% in technology imply 60% portfolio exposure?

Not for a fully invested unlevered 50/50 allocation. The contribution is 15% + 15% = 30%.

2. Does a 1% outer fee reduce 12% volatility to 11%?

No. A fee is a return cost, not a direct reduction in volatility.

3. What is the right treatment for missing underlying holdings?

Flag the information gap, seek evidence and consider a conservative exposure allowance. Do not record an unsupported zero.

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Common questions

Should I average the managers’ volatilities?

No. Portfolio variance requires weights, volatilities and correlations. An average discards the interaction term.

Can manager diversification help operational risk?

It may reduce dependence on one organization, but shared administrators, prime brokers or valuation providers can preserve common dependencies.

Sources and scope

The sources below establish their stated framework or subject context. Calculations and cases are our own teaching material; these sources do not endorse them or establish complete exam coverage.

By MiloPrep editorial team. Updated 10 October 2026. Independent study notes, not affiliated with or endorsed by CAIA Association. How we prepare our content.

Notes

  • * Study scope: Selected study concepts, not complete curriculum coverage. Match your sitting to the official exam-year materials; CAIA’s current resource page now links to 2027. ↩ Return to content