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CFA Level III · Portfolio Management Pathway

Active Equity Investing: Portfolio Construction for CFA Level III

Active equity portfolio construction is how you turn stock views into a portfolio that adds value after risk and costs. You measure how active the portfolio is, estimate skill with the fundamental law, choose a style and weighting method, set risk budgets, and control trading costs.

What this chapter covers

This chapter covers how an active equity manager builds and runs a portfolio, not how the manager finds ideas. You start by measuring how different the portfolio is from its benchmark, using active share and tracking risk. You then link skill and breadth to expected value added through the fundamental law of active management.

Next you look at investment styles (value, growth, GARP, quality, momentum and others), and at construction approaches such as full replication, optimisation, factor-based and stratified sampling, plus weighting schemes such as equal, market-cap, fundamental and risk-based. The chapter then covers risk budgeting, constraints, manager selection, combining strategies (core-satellite, completion portfolios, multiple managers) and the costs of trading and rebalancing.

This page is part of the Portfolio Management pathway study material. Its concepts relate to Portfolio Construction and Performance Measurement, so related ideas can also appear in common core topics. It also feeds the individual and institutional client topics, because you must tie any construction choice to the client's objectives and constraints. Expect item sets and essay sets, where you may need to calculate, compare approaches and justify a recommendation.

Pathway topics carry a large share of the Level III topic weight (30-35%), and this chapter mixes calculation, classification and judgement, which suits both item sets (3 points per question) and essay sets. Many answers can be earned with a short, correct statement tied to the vignette, such as which style fits a client or why a risk budget is breached. Related ideas can also appear in other topics like performance measurement and portfolio construction, so the effort pays off more than once. There is no penalty for wrong answers, so always answer.

Active Equity Investing: Portfolio Construction: topics in the order to study them

  1. 1Active Share and Active Management FrameworkIt sets the vocabulary of benchmark, active weights, active share and tracking risk that every later topic uses.
  2. 2Fundamental Law of Active ManagementIt turns skill and breadth into expected active return and risk, so you can test whether a strategy is worth running.
  3. 3Equity Investment Styles and ApproachesYou need to know what each style tends to hold and how it behaves before you choose how to build a portfolio around it.
  4. 4Portfolio Construction Approaches and WeightingIt puts the style into practice through replication, optimisation, factor and weighting choices, and shows their trade-offs.
  5. 5Managing Risk Budgets and Portfolio ConstraintsOnce you can build a portfolio, you learn to limit it with risk budgets and constraints that match the client mandate.
  6. 6Manager Selection and Combining StrategiesIt scales the ideas up from one portfolio to several managers or strategies, using what you learned about style and risk.
  7. 7Trading, Rebalancing and Implementation CostsIt closes the loop by showing how costs and rebalancing rules reduce or protect the value you planned to add.

How to prepare Active Equity Investing: Portfolio Construction

Treat this chapter as one chain: measure activeness, estimate skill, choose a style, build, limit risk, combine, then implement. Prepare in a way that lets you answer short calculations and written justifications.

  1. Read the chapter once in study order and write a one-line definition of each key term, such as active share, tracking risk, information ratio, transfer coefficient and risk budget.
  2. Memorise the core relationships and practise each by hand: active share from weight differences, the fundamental law with its inputs, and the link between active return, tracking risk and the information ratio.
  3. Build a comparison sheet for styles and construction approaches: what each holds, when it works, what it costs and which client it suits.
  4. Practise item sets by reading the vignette for client objectives and constraints first, then choosing the option that fits them, not just the one that is generally true.
  5. Practise essay answers using the command word. For calculate, show the formula, inputs and result. For justify or recommend, give the decision and one or two reasons linked to the case facts.
  6. Finish with mixed questions that combine topics, for example a risk budget breach followed by a rebalancing choice, and review every error by its cause: formula, concept or misreading.

Common mistakes in Active Equity Investing: Portfolio Construction

  • Confusing active share with tracking risk

    Fix: Remember that active share is about holdings and weights, while tracking risk is about the volatility of returns relative to the benchmark.

  • Applying the fundamental law without considering constraints

    Fix: Ask whether the mandate has limits like long-only or position caps. If it does, expect lower realised value added than the unconstrained result.

  • Choosing a style or approach in the abstract instead of for the client

    Fix: Underline the client's return goal, risk tolerance, horizon, costs and restrictions first, then pick the option that fits them.

  • Giving an essay answer that lists facts without answering the command word

    Fix: Read the bold command word. Calculate means show a number, justify means give a reason, and recommend means state a decision first.

  • Treating risk budgets as simple allocations of capital

    Fix: Allocate and monitor risk contributions, since a small capital weight in a volatile or highly active strategy can use a large part of the budget.

  • Ignoring implementation costs when judging a strategy

    Fix: Net the explicit and implicit costs against expected value added, and consider turnover, liquidity and rebalancing frequency before concluding.

Last-day revision: Active Equity Investing: Portfolio Construction

  • Active share measures the portion of the portfolio that differs from the benchmark; tracking risk measures the volatility of active returns.
  • Higher active share with high tracking risk points to a more concentrated, stock-picking approach; low values point to closet indexing.
  • Information ratio = expected active return ÷ active risk.
  • Fundamental law: expected active return depends on the information coefficient, breadth and active risk, scaled by the transfer coefficient when constraints reduce implementation.
  • Constraints such as long-only rules lower the transfer coefficient and so reduce realised value added.
  • Match style to client: value, growth, GARP, quality and momentum differ in holdings, risk and market conditions.
  • Equal weighting tilts toward smaller stocks and value; market-cap weighting is the neutral, benchmark-like approach, but it overweights stocks that have risen in price, so it can hold overvalued stocks.
  • Risk budgeting allocates total active risk across managers, strategies or bets, and should reflect where you have skill.
  • Core-satellite keeps a low-cost core and adds higher-conviction active satellites.
  • Implementation shortfall captures explicit costs, market impact and delay or opportunity cost.
  • Rebalancing trades off tracking error drift against transaction costs; wider ranges mean fewer trades but more drift.
  • Always tie the answer to the client's objectives and constraints.

Active Equity Investing: Portfolio Construction in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Active Equity Investing: Portfolio Construction: frequently asked questions

How is active share different from tracking risk?

Active share shows how much the portfolio's holdings differ from the benchmark's. Tracking risk shows how much the portfolio's returns vary relative to the benchmark. A portfolio can have a high active share and still have moderate tracking risk if its bets are diversified.

Do I need to memorise the fundamental law formula?

Yes, know the relationships and be able to use them in a short calculation. Understand how skill, breadth, active risk and the transfer coefficient each change expected value added, because item sets often ask about the direction of change.

How should I answer essay questions from this chapter?

Follow the command word exactly and keep the answer short. Show the calculation steps when asked for a number, and for recommendations state the decision with one or two reasons drawn from the client's facts.

Is this chapter only for the Portfolio Management pathway?

This page is part of the Portfolio Management pathway study material. Related concepts can also appear in common core topics such as portfolio construction and performance measurement, so the ideas are worth knowing whichever pathway you chose.