Case 011Portfolio construction and optimisationCore
A long-only equity manager wants an ESG thesis. Excluding three sectors that make up 14% of the benchmark creates how much tracking error, and how does that compare with a best-in-class tilt targeting 1%? Recommend one.
1The situation
Harit Vriksha Equity Fund is a long-only Indian large cap fund with a tracking error budget of 4% a year against its benchmark. Its board wants an ESG approach. Option one excludes three sectors, thermal power, coal mining and tobacco, which together are 14% of the benchmark; the rest of the portfolio is scaled up to fill the gap.
The excluded basket has volatility of 22% and a correlation of 0.7 with the rest of the market, whose volatility is 16%. Option two keeps every sector and tilts towards the better ESG scorers within each; the optimiser sets it to a tracking error of 1% and reports an active share of 18%.
2Your task
How much tracking error does the exclusion create, how does it compare with the tilt, and which would you recommend?
Quick check
Roughly how much tracking error does excluding 14% of the benchmark create?
Worked solution
Try it on paper, then open one step at a time.
30-second answerThe answer to give first
The exclusion creates about 2.2% of tracking error, more than twice the tilt's 1%, so recommend the tilt. Dropping 14% of the benchmark is a 14% bet on the spread between the excluded sectors and the rest, whose volatility is 15.7%. That uses 30% of a 4% tracking error budget on a bet chosen for values, not return. The tilt uses 6% and leaves the budget for stock picking; exclude only what clients require.
Step 1What is an ESG thesis for a long-only manager, in practice?
A statement of what the manager believes and how the portfolio will express it. Either the manager believes ESG risks are mispriced and will cost shareholders money, which is a return view, or the clients want certain businesses out regardless of return, which is a values constraint. The two lead to different designs. It is like a restaurant choosing a vegetarian menu because it will sell better, against choosing it because the owner will not serve meat: the first gets tested against sales, the second does not.
Step 2How much tracking error does the exclusion create?
Write the active position down. The fund holds 100% in the rest of the market; the benchmark holds 86% there and 14% in the excluded sectors. So the fund is 14% long the rest and 14% short the excluded basket, and its tracking error is 14% times the volatility of the spread between them. With volatilities of 16% and 22% and a correlation of 0.7, that spread moves 15.7% a year, so tracking error is about 2.2%.
| 0.14 | weight of the excluded sectors in the benchmark |
| 0.16, 0.22 | volatility of the rest of the market and of the excluded basket |
| 0.7 | correlation between them |
Step 3Why does the tilt carry more active share but less tracking error?
Because it moves money between similar stocks. Active shareHalf the sum of the absolute differences between fund and benchmark weights: the share of the portfolio that differs from the index. counts how much of the portfolio differs from the index; tracking error measures how differently it behaves. Swapping one power utility for a cleaner one changes 18% of the holdings but little of the behaviour, because stocks in the same sector move together; removing whole sectors changes less of the list but much more of the behaviour. The tilt's 18% active share with 1% tracking error against the exclusion's 14% with 2.2% shows exactly that.
Step 4Why express the cost as a share of the budget?
Because tracking error budgets add in variance, not in straight lines. 2.2% squared is 30% of 4% squared: nearly a third of the fund's room to differ from the index is spent on a bet the stock pickers did not choose. In a year the excluded sectors beat the rest by 15 points, the fund lags by 2.1 points from that alone, and the manager must explain a shortfall that has nothing to do with skill.
Step 5What would you recommend?
The tilt as the core, with exclusions kept to the short list that clients or the mandate actually require, and an engagement policy for the companies the fund keeps. Build the ESG view where it can be tested as a return view, inside sectors, and keep the budget for the manager's real edge. Say the limit: ESG scores from different providers often disagree, so a tilt is only as good as the score behind it, and the board should see which provider is used and why.
Where candidates lose it
Candidates answer the exclusion question with 14%, the weight dropped, which is active share, not tracking error. The question asks how differently the fund will behave, and that depends on how the excluded sectors move against the rest.
The second loss is assuming more active share means more risk. The tilt differs from the index in more holdings yet behaves more like it, because the swaps happen between close substitutes.
What the interviewer asks next
- How would the tracking error change if the excluded sectors' correlation with the market were 0.9?
- Can the fund offset the exclusion's sector bet by overweighting similar sectors, and what does that cost?
- Two ESG data providers rank the same company first and last in its sector. What do you do?
Asked at Neuberger Berman, Investment Research, New York, 2025 (Wall Street Oasis): They asked me how I would advice a long only manager on establishing an esg investment thesis.
Company names and figures are illustrative.
