Asset Allocation — Other Asset Allocation Approaches

Asset Allocation — Other Asset Allocation Approaches

CAIA Level II | High-Density Study Guide

What Is It?

1. What is this topic?
   Alternative asset allocation methods beyond mean-variance optimization (MVO), including risk parity, factor-based allocation, and liability-driven investing (LDI).
2. How is it tested, applied, or used?
   Tested via numerical problems, scenario analysis, and critique of traditional MVO. Applied in portfolio construction, risk budgeting, and institutional asset management.

Why Does the Exam Ask This?

Tests ability to: - Critique MVO’s limitations (e.g., sensitivity to inputs, concentration risk). - Apply risk-budgeting logic (e.g., risk parity) and factor diversification. - Assess real-world constraints (liabilities, liquidity, governance) in allocation decisions.

What Do I Need to Know First?

1. Mean-variance optimization (MVO) and its flaws.
2. Risk measures (volatility, CVaR, drawdown).
3. Factor investing basics (e.g., Fama-French).
4. Liability-driven investing (LDI) concepts.

Topic Snapshot

Covers advanced allocation frameworks that address MVO’s weaknesses. Critical for institutional investors (e.g., pensions, endowments) managing complex liabilities or illiquid assets. Exam focuses on trade-offs, implementation, and risk management.

Exam / Job / Audit Weighting

• Frequency: 3–5 questions per exam.
• Difficulty Rating: Intermediate.
• Question Type: Numerical (e.g., risk parity weights), scenario-based critiques, or factor allocation problems.

Difficulty Level

Intermediate

Must-Know Rules, Formulas, Standards, or Principles

1. Risk Parity Formula:
   Allocate capital so each asset contributes equally to portfolio risk:
   [
   w_i = \frac{1/\sigma_i}{\sum (1/\sigma_j)}
   ]
   Adjust for correlation if using full risk-budgeting.

2. Factor-Based Allocation:
   Target exposure to macroeconomic or style factors (e.g., value, momentum) instead of asset classes.

3. LDI Principle:
   Match asset duration to liability duration; use derivatives (e.g., swaps) to hedge interest-rate risk.

Misconceptions

1. Risk parity ignores returns: It balances risk, not returns—may underperform in strong bull markets.
2. Factor investing is passive: Requires active rebalancing and factor timing.
3. LDI is only for pensions: Used by any institution with fixed liabilities (e.g., insurers).

Common Mistakes

1. Assuming risk parity = equal weights: Weights depend on volatility/correlation.
2. Ignoring factor decay: Factors (e.g., value) can underperform for years.
3. Overlooking LDI’s basis risk: Swaps may not perfectly hedge liabilities.

The Common Trap

Confusing risk parity with naive diversification. Risk parity explicitly targets equal risk contributions, not equal capital weights.

Terms to Remember

1. Risk Parity: Allocation where each asset contributes equally to portfolio risk.
2. Factor Investing: Allocating to macroeconomic or style factors (e.g., inflation, quality).
3. LDI: Liability-driven investing; matches assets to liabilities.
4. Risk Budgeting: Allocating risk (not capital) across portfolio components.
5. Basis Risk: Mismatch between hedging instrument and liability.

Step-by-Step Process

1. Risk Parity Allocation

1. Calculate asset volatilities (σ) and correlations.
2. Compute inverse volatilities (1/σ).
3. Normalize to get weights: ( w_i = \frac{1/\sigma_i}{\sum (1/\sigma_j)} ).
4. Adjust for correlation if using full risk-budgeting.

2. Factor-Based Allocation

1. Identify target factors (e.g., value, momentum).
2. Select assets with high factor exposure.
3. Rebalance periodically to maintain factor purity.

3. LDI Implementation

1. Estimate liability duration.
2. Match asset duration using bonds/derivatives.
3. Hedge interest-rate risk with swaps or futures.

Exam Answer Builder

1-Mark Question (MCQ)

What it tests: Definition of risk parity. Example: Which best describes risk parity? A) Equal capital weights B) Equal risk contributions C) Maximum Sharpe ratio D) Minimum volatility Key Tip: Eliminate options with "equal weights" or "Sharpe ratio."

3-Mark Question (Numerical)

What it tests: Risk parity weight calculation. Example: Assets A (σ=10%) and B (σ=20%) have zero correlation. What are their risk parity weights? Key Tip: Use ( w_A = \frac{1/0.10}{1/0.10 + 1/0.20} = 66.7\% ).

5-Mark Question (Scenario)

What it tests: Critique of MVO vs. risk parity. Example: A pension fund uses MVO but suffers concentrated equity exposure. How could risk parity improve this? Key Tip: Highlight risk-budgeting and diversification benefits.

This vs That

Time-Saver Hack

Risk parity shortcut: If assets have similar correlations, weights ≈ inverse volatilities. Skip full covariance matrix.

Mini Scenarios

Basic

Portfolio has 90% equities (σ=15%) and 10% bonds (σ=5%). Notice: Equities dominate risk. Risk parity would reduce equity weight.

Applied

Pension fund’s liabilities have 15-year duration. Current assets: 60% equities (duration=0), 40% bonds (duration=8). Notice: Duration mismatch. LDI requires longer-duration bonds or swaps.

Tricky

Factor portfolio tilts toward value (historically high Sharpe) but underperforms for 5 years. Notice: Factor decay. Rebalance or reassess factor validity.

Diagnostic MCQ Bank

Easy

Question: What is the primary goal of risk parity? A) Maximize returns B) Equalize risk contributions C) Minimize volatility D) Match liabilities Correct: B Explanation: Risk parity targets equal risk contributions, not returns or volatility.

Medium

Question: A risk parity portfolio has 60% in bonds (σ=5%) and 40% in equities (σ=15%). If correlation=0.5, what is the equity weight? A) 25% B) 40% C) 50% D) 60% Correct: A Explanation: Requires full risk-budgeting calculation (equity’s marginal risk contribution).

Hard

Question: Why might LDI fail for a pension fund? A) Liabilities are inflation-linked but assets are nominal bonds B) Swaps perfectly hedge interest-rate risk C) Duration mismatch is <1 year D) Equities are excluded Correct: A Explanation: Inflation mismatch creates basis risk.

Real-World Patterns

1. Pensions: Use LDI to hedge interest-rate risk; risk parity for diversification.
2. Endowments: Factor investing to capture illiquidity premia.
3. Hedge Funds: Risk parity to avoid concentration in high-vol strategies.

30-Second Cheat Sheet

1. Risk parity: Equal risk contributions, not equal weights.
2. Factor investing: Targets macro/style factors, not asset classes.
3. LDI: Matches asset duration to liabilities; hedges with swaps.
4. MVO flaw: Sensitive to input estimates; may concentrate risk.
5. Basis risk: Mismatch between hedge and liability (e.g., inflation).

Related Concepts

1. Mean-variance optimization (MVO) critiques.
2. Factor investing (Fama-French, Carhart).
3. Liability-driven investing (LDI) mechanics.

Verified Source List

1. CAIA Level II Curriculum (2025/2026).
2. Risk Parity: Diversification Without Forecasts (Roncalli, 2013).
3. Factor Investing (Ang, 2014).
4. LDI for Pension Funds (Fabozzi, 2020).
5. CFA Institute: Portfolio Management (Level III).