Smart Beta & Factors — ISS & STOXX Glossary

About This Section

This glossary covers factor investing strategies, smart beta methodologies, factor definitions, and quantitative portfolio construction concepts. Terms are sourced from STOXX official documentation and methodology guides.

~45 terms across multiple sources.

A

Accruals

▰▰▰ 23

The non-cash component of reported earnings, computed as the difference between net income and operating cash flow, scaled by total assets. In STOXX factor indices, high accruals are treated as a negative quality signal — firms with lower accruals are considered higher quality because their earnings are backed by real cash flows.

Note

accruals measure how much of a company’s reported profit is “paper profit” versus actual cash received. Companies where earnings mostly come from cash are viewed as higher quality because paper profits can be reversed or manipulated.

Accruals Ratio = \frac{Net Income - Operating Cash Flow}{Total Assets}

Related terms

Quality Factor, Net Operating Assets (Changes in), Alpha Signal

Source excerpts (5)

The ratio is calculated as Cash Flow from Operation (CFO) divided by total assets cash flow from operation CFO Ratio = t0 t0 total assets t0 - Accruals less than or equal to zero. Accruals are calculated as ROA minus CFO Ratio Accruals =ROA −CFO Ratio t0 t0 t0 - Positive or zero 1-year growth in ROA

— Istoxx Index Guide (PDF), p. 75

ractice, as it is generally expected that dividend payments only apply to vested shares. ISS already evaluates the provision of dividend payments and accruals on vested incentive awards in South Africa. The level of disclosure of companies’ policies on dividend payments and accruals is growing.

— Israel And South Africa Policy Updates (PDF), p. 20

weights, respectively, and is again z-scored and truncated at +/-3 standard deviations. The Quality Factor is a composite of the following 6 Signals: Accruals, Dilution, Gross Profitability, Change in Net Operating Assets (NOA), Carbon Emissions Intensity, and Science Based Targets (SBTI).  Accruals is giv

— Stoxx Index Guide (PDF), p. 587

market-cap-weighted flagship index such as the EURO STOXX 50 Index, you have a matching futures market to equitize cash. How do you equitize dividend accruals in the case of the CSIF (Lux) Equity EURO STOXX Multi Premia fund? As there are no perfectly-matching futures for this strategy, the fund uses EURO S

— Q&A: Credit Suisse’s Froehlich on Multi-Premia Investing | Blog posts | S…

on in definitions is substantially largerfor quality,’ according to a 2016 study.3The paper’s authors found that definitions range from low levels of accruals, gross profitability and low investments to bottom-line profitability measures such as return-on-equity and margins. Behind the iSTOXX Europe Quality

— The Quality Factor | Blog posts | STOXX

Active Industry Constraint

▰ 4

A portfolio construction rule that limits the deviation of each industry’s weight in the optimized portfolio from its weight in the parent (benchmark) index. STOXX methodology typically imposes a maximum active industry weight of +/- 5% relative to the parent index, ensuring the factor-tilted portfolio does not introduce unintended sector bets.

Note

this is a guardrail that prevents a smart beta index from accidentally becoming a sector bet. If technology is 20% of the benchmark, the factor index might hold between 15% and 25% in technology — but never 40%.

Related terms

Industry Neutral, Capping Constraint, Tracking Error Budget

Source excerpts (4)

tended sector exposures. The STOXX® Industry Neutral Ax Factor Indices implement the same methodology of the STOXX® Factor Indices while reducing the active industry constraint from +/- 5% to near neutral. The STOXX Factor Indices and STOXX Industry Neutral Ax Factor Indices rely on proven factor models and seek precise expo

— Industry Neutral Factor Indices | STOXX

OXX Industry Neutral Ax Factor Indices were introduced in February and implement the same methodology of the STOXX® Factor Indices while reducing the active industry constraint from +/- 5% to near neutral. In all but eliminating industry deviations, the STOXX Industry Neutral Ax Factor Indices may sacrifice some factor expos

— Eurex to List Futures on STOXX Industry Neutral Ax Factor Indices | Blog post…

It may also be useful to highlight that the STOXX Industry Neutral Ax Factor Indices are versions of the standard STOXX Factor Indices that limit the active industry constraint from +/- 5% to near neutral. This was one of the feedbacks from the joint market consultation with Eurex, where potential investors favored sacrifici

— Q&A: What do Eurex’s new futures on STOXX Factor Indices offer? | Blog po…

ed risk exposures. The STOXX® Industry Neutral Factor Indices (Table 1) implement the same methodology of the STOXX Factor Indices while reducing the active industry constraint from +/- 5% to near neutral. In all but eliminating the overall industry deviations, the STOXX Industry Neutral Factor Indices may sacrifice some fac

— The diversification benefits of a multi-factor approach: the STOXX Europe 600…

Alpha Signal

▰▰▰▰ 63

A quantitative score assigned to each security that predicts relative future returns. In STOXX multi-factor indices, the alpha signal is a composite z-score constructed by combining individual factor signals (e.g., value, momentum, quality) into a single ranking metric used during portfolio optimization.

Note

an alpha signal is the “master score” that tells the index which stocks should be overweighted and which should be underweighted. It is the numerical translation of the factor thesis into an actionable ranking.

α_{i} = k = 1 \sum K w_{k} \cdot z_{i, k}

where $z_{i, k}$ is the standardized score for security $i$ on factor $k$ , and $w_{k}$ is the factor weight.

Related terms

Multifactor Signal, Factor Tilt, Factor (Definition)

Source excerpts (5)

Ang. “We continuously want to push the definitions of these factors.” Other ESG signals An additional example of a climate alpha signal can be found in companies with the most LEED-certified,2 or carbon-efficient, buildings.

— BlackRock’s Ang on sustainability alpha signals: ESG and factors as ‘best fri…

Values are z-scored and truncated at +/- 3 standard deviations. Individual signal z-scores are set to 0 where data is missing. The Multi-Factor Alpha Signal is created by combining the following Factors with respective weights per index: STOXX INDEX METHODOLOGY GUIDE 589/639 18.

— Stoxx Index Guide (PDF), p. 588

Furthermore, these indices are expected to outperform their parent indices by using alpha signals based on multiple measures associated with climate transition. Universe: The indices are derived from their parent indices as described below Index

— Istoxx Index Guide (PDF), p. 313

resentation, as panelists highlighted the importance of basing investment decisions on reliable information and eliminating the risk of greenwashing. Alpha signal A recent Qontigo whitepaper1 looked into the effectiveness of the SDI AOP’s SDI Innovation Outlook score in predicting equity returns.

— Asset-owner panel discusses drivers, merits of integrating SDGs into investme…

) intensity relative to the parent benchmark. The indices’ methodology follows an optimization process that maximizes the allocation to a multifactor alpha signal, while satisfying a set of constraints to avoid unintended and uncompensated bets, and control for active risk.

— iShares adopts STOXX indices to underlie EMEA multifactor ETFs with exclusion…

C

Capping Constraint

▰▰ 7

A hard upper bound on the weight any single security (or issuer) can hold in the index. STOXX indices commonly apply caps of 5% or 10% at each rebalancing, complying with UCITS diversification requirements. In the EURO STOXX 50 Risk Control indices, individual security caps interact with risk budgets to prevent concentration.

Note

capping stops any one stock from dominating the index. Even if a factor model loves a particular stock, the cap limits its weight so that a blow-up in that single name does not destroy the whole portfolio.

Related terms

Security Weight Cap, Active Industry Constraint, Turnover Constraint

Source excerpts (3)

Developed Markets ex USA, Emerging Markets) January 2021: Clarification of rules for STOXX Minimum Variance and STOXX Factor indices regarding weight capping constraints February 2021: Change of review cut-off date for STOXX Global Infrastructure indices. February 2021 (2): Addition of STOXX Industry Neutral Factor I

— Stoxx Index Guide (PDF), p. 16

Developed Markets ex USA, Emerging Markets) January 2021: Clarification of rules for STOXX Minimum Variance and STOXX Factor indices regarding weight capping constraints February 2021: Change of review cut-off date for STOXX Global Infrastructure indices. February 2021 (2): Addition of STOXX Industry Neutral Factor I

— Stoxx Index Guide (PDF), p. 16

The sum of the weights of those issuers above 4.5% cannot exceed 35%. If the parent index itself does not satisfy the individual issuer capping constraints those are not enforced on the corresponding child indices. Active Issuer Constraint: The maximum active issuer weight is 1%. Active Share Constraint

— Istoxx Index Guide (PDF), p. 685

Capital Asset Pricing Model (CAPM)

▰ 1

Quote

“The CAPM says there is only one source of risk that is rewarded: market beta. Every factor anomaly discovered since is a challenge to that elegant simplicity.”

— William Sharpe, Nobel laureate, on the legacy of the Capital Asset Pricing Model

A foundational equilibrium model asserting that the expected excess return of a security is proportional to its systematic risk (beta) relative to the market portfolio. In the STOXX framework, CAPM provides the theoretical baseline against which factor premia are measured — factors like value, momentum, and quality represent returns unexplained by CAPM’s single market factor.

Note

CAPM says the only risk you get paid for is market risk. If a stock moves 1.2× as much as the market, you should earn 1.2× the market’s excess return — nothing more. Factor investing exists precisely because CAPM’s prediction is too simple: other characteristics (cheapness, momentum, quality) also predict returns.

E [R_{i}] - R_{f} = β_{i} \cdot (E [R_{m}] - R_{f})

where $R_{f}$ is the risk-free rate, $R_{m}$ is the market return, and $β_{i} = \frac{Cov ( R _{i} , R _{m} )}{Var ( R _{m} )}$ .

Related terms

Factor (Definition), Risk Premia, Low Risk Factor

Source excerpts (1)

In recent years, however, academia has shifted its focus to the explanation of the so-called low volatility factor. The traditional Capital Asset Pricing Model (CAPM) explains asset returns in excess of the risk-free rate as compensation for systematic, i.e. non-diversifiable, risk[3].

— The low volatility premium – An analysis of factor exposures of minimum varia…

Carry Factor

▰▰ 19

A factor that captures the return earned from holding higher-yielding assets against lower-yielding ones, independent of price appreciation. In equities, STOXX carry strategies typically rank securities by dividend yield or shareholder yield (dividends plus buybacks minus issuance), overweighting those offering the highest expected income return.

Note

carry is about getting paid to hold an asset. A stock with a 5% dividend yield “carries” better than one with 1%. The carry factor systematically tilts toward these high-income names, earning returns from the yield itself rather than betting on price changes.

Carry_{i} = \frac{D _{i}}{P _{i}}

where $D_{i}$ is the expected annual dividend and $P_{i}$ is the current price. More sophisticated versions include net buyback yield.

Related terms

Value Factor, Yield Factor, Factor (Definition)

Source excerpts (5)

The other only index in the family to have fallen in eight of the nine months so far in 2019 is the iSTOXX® Europe Carry Factor Market Neutral Index. For the whole of 2019, the iSTOXX® Europe Size Factor Market Neutral Index shows the worst performance — an 8.6% retreat. The i

— Monthly Index News September 2019 (PDF), p. 7

The index offers exposure to stocks that appear undervalued relative to earnings and cash flow. At the other end, the iSTOXX® Europe Carry Factor Market Neutral Index, which targets cheap stocks with high growth potential based on earnings and dividends, added 1.4%. The iSTOXX Europe Factor Mar

— Monthly Index News February 2020 (PDF), p. 7

hold a short position in STOXX Europe 600 futures to help investors neutralize systematic risk, had positive returns during August The iSTOXX® Europe Carry Factor Market Neutral Index was the month’s best performer after adding 1.4% on a net-return basis.

— Monthly Index News August 2020 (PDF), p. 23

tures on the STOXX Europe 600, posted losses. Increased bullishness may have been behind a style rotation among factor strategies. The iSTOXX® Europe Carry Factor Market Neutral Index, which beat all other five strategies in the iSTOXX® Europe Factor Indices in the previous month, fell 1.8%.

— Monthly Index News July 2018 (PDF), p. 3

m to have fallen out of favor with investors, perhaps reflecting their concerns about the pace of global expansion. By comparison, the iSTOXX® Europe Carry Factor Market Neutral Index is cementing its position as the leading factor in the past year.

— Monthly Index News June 2018 (PDF), p. 3

D

Defensive Factor

▰ 2

A factor strategy that selects securities exhibiting stable earnings, low financial leverage, and low price volatility — combining elements of quality and low risk into a single defensive composite. STOXX defensive indices typically blend low-beta selection with profitability and balance sheet strength screens to build portfolios that aim to protect capital during market downturns.

Note

the defensive factor is for investors who want to stay in equities but sleep at night. It picks “fortress” companies — profitable, conservatively financed, and not prone to wild price swings — that tend to fall less when markets crash.

Defensive_{i} = \frac{1}{3} (z_{low vol, i} + z_{quality, i} + z_{low leverage, i})

Related terms

Low Risk Factor, Quality Factor, Low Volatility Factor

Source excerpts (2)

r. The Small Size factor, for its part, is a high beta, pro-cyclical factor, relative to the Low Volatility factor, which is low beta and a much more defensive factor. Those are opposing factors pulling in opposite directions. And so, they each have a 5% weight so that we’re not moving too far away from the core.”

— BlackRock’s Jamie Forbes: Implementing ‘evolutionary’ factor advancements in …

ven downturn. Chart 1 Sources of out/underperformance will be explored later in this post, but we observe some results that match intuition. The more defensive factors (Low Risk and Quality) had the strongest post-crisis returns. On the other hand, ‘riskier’ factors, such as Value and Size, had significant drawdown

— STOXX Factor Indices – Q1 2020 Review | STOXX

Dilution

▰▰▰▰▰▰ 1,626

In the STOXX quality framework, dilution captures the change in a company’s share count over time. Companies that consistently issue new shares dilute existing shareholders’ ownership and are penalized in quality scoring. The signal is measured as the year-over-year percentage change in total shares outstanding.

Note

dilution means a company is printing new shares — which shrinks your slice of the pie. STOXX’s quality indices treat heavy share issuance as a red flag for governance and capital allocation discipline.

Dilution_{t} = \frac{Shares Outstanding _{t} - Shares Outstanding _{t - 1}}{Shares Outstanding _{t - 1}}

Related terms

Quality Factor, Accruals, Net Operating Assets (Changes in)

Source excerpts (5)

ury or purchased on the open market, shareholder approval will be required and ISS will assume that the plan is funded by treasury shares. 27. How is dilution calculated? For purposes of the dilution scoring factor, dilution is calculated as the sum of a plan’s A, B, and C shares (as defined above with resp

— Canadian Equity Plan Scorecard Faq (PDF), p. 14

However, when companies make issuances without preemptive rights, shareholders experience dilution of their economic interest and voting rights. Therefore, to protect shareholders from potentially excessive dilution, widely- accepted best practice

— 6 2017 Comment Period Template Europe General Share Issuance Request Proposals (PDF), p. 1

, exercise period, exercise price, and performance hurdles (if any). While dilution is an important factor in evaluating options, Japanese companies’ dilution, particularly at large companies, has been modest. As such, this is seldom an issue.

— 2013Issjapanguidelinessummaryrev01312013 (PDF), p. 16

When evaluating equity-based compensation items on ballot, the following elements will be considered: Primary Considerations: › Dilution: Vote against plans in which the potential voting power dilution (VPD) of all shares outstanding exceeds fifteen percent. Enabling the financial comm

— 2015 Us Public Fund Guidelines (PDF), p. 27

Policy Recommendation: Vote case-by-case on proposals regarding private placements, warrants, and convertible debentures taking into consideration: › Dilution to existing shareholders’ position: The amount and timing of shareholder ownership dilution should be weighed against the needs and proposed sharehol

— 2017 Sustainability Us Voting Guidelines (PDF), p. 37

E

Efficient Frontier

▰▰ 16

Quote

“The efficient frontier is the boundary of possibility. Every rational portfolio sits on it; every portfolio below it is leaving returns on the table for the risk taken.”

— Harry Markowitz, Nobel laureate, Portfolio Selection (1952)

The set of portfolios that offer the highest expected return for each level of risk (standard deviation), forming a curved boundary in mean-variance space. STOXX risk-based indices — minimum variance, maximum diversification, and equal risk contribution — can be understood as targeting specific points on or near the efficient frontier under different objective functions and constraints.

Note

the efficient frontier is the “best you can do” curve. Every portfolio on it is optimal: you cannot get more return without taking more risk, and you cannot reduce risk without giving up return. Portfolios below the curve are inefficient — they leave free performance on the table.

w max E [R_{p}] s.t. σ_{p} = σ^{*}, i \sum w_{i} = 1, w_{i} \geq 0

Tracing out all $σ^{*}$ values produces the frontier.

Related terms

Mean-Variance Optimization, Minimum Variance, Maximum Diversification

Source excerpts (5)

and find out more about the active risk, active variance analysis and comparative returns of an optimized exclusions portfolio, click here. 1 ‘Green efficient frontiers. Part 1: Minimizing the risk impact of exclusions,’ Qontigo, March 2023.

— Green efficient frontiers: Minimizing the risk impact of exclusions in sustai…

“With the appropriate solution, we aim to help them reach the optimal spot on their new efficient frontier of impact, risk and returns.” Our DNA and philosophy Qontigo’s ESG framework offers access to curated databases that allow for cutting-edge index cre

— Qontigo’s ‘Enhance’ sustainable index category – optimizing ESG investing | B…

In diagrammatic terms, the MVP is found at the very left tip of a mean- variance efficient frontier of feasible portfolios, as shown in Figure 1. FIGURE 1: EFFICIENT FRONTIER OF FEASIBLE PORTFOLIOS. No expected returns are used in the construction o

— Stoxx Minvar Paper (PDF), p. 5

Research Director of the SDI AOP, discusses the latest platform developments led by its asset-owner led community. Index | ESG & Sustainability Green efficient frontiers: Minimizing the risk impact of exclusions in sustainable portfolios A new whitepaper from Qontigo’s research team explores the benefits of construct

— Portfolio Construction | STOXX

“The traditional risk-and-return framework is outdated. It needs to be updated with a third dimension: societal impact. Therefore, new efficient frontiers within these three dimensions will have to be defined by investors.” The panel’s topic was ‘Intelligent ESG,’ and participants debated whether susta

— Sustainability Impact of Investments Calls for Redefined View of Asset Manage…

Earnings Announcement Drift

▰▰ 9

The empirically documented tendency for stock prices to continue moving in the direction of an earnings surprise for weeks or months after the announcement date. STOXX momentum and quality indices may exploit this anomaly by incorporating post-announcement return signals into their composite scores.

Note

when a company reports earnings that beat (or miss) expectations, the stock tends to keep drifting in the same direction — the market digests the news slowly. Factor indices can capture this drift by tilting toward recent positive surprises.

Related terms

Earnings Momentum, Price Momentum, Momentum Factor

Source excerpts (3)

The Factors are combined to create a Multi-Factor Alpha Signal, as described below. The Momentum Factor is a composite of the following 3 Signals: Earnings Announcement Drift, Earnings Momentum, and Price Momentum.  Earnings Announcement Drift is given by the sum of idiosyncratic returns from the Axioma Risk Model on the

— Stoxx Index Guide (PDF), p. 593

The Factors are combined to create a Multi-Factor Alpha Signal, as described below. The Momentum Factor is a composite of the following 3 Signals: Earnings Announcement Drift, Earnings Momentum, and Price Momentum.  Earnings Announcement Drift is given by the sum of idiosyncratic returns from the Axioma Risk Model on the

— Stoxx Index Guide (PDF), p. 593

to a multifactor signal created from the following five factors: Momentum The momentum score is calculated from price momentum, earnings momentum and earnings announcement drift (i.e., the difference between a stock’s performance on and immediately following an earnings announcement date). Quality The quality score is calcula

— STOXX Equity Factor Indices | STOXX

Earnings Momentum

▰▰ 18

A factor signal based on the direction and magnitude of analyst earnings revision activity. STOXX defines earnings momentum using the change in consensus EPS estimates over a trailing window (typically 3 to 6 months). Stocks with upward revisions receive positive scores.

Note

earnings momentum asks: “Are analysts raising or lowering their profit forecasts for this company?” Upward revisions signal improving fundamentals and tend to predict near-term outperformance.

Earnings Momentum_{i} = \frac{EPS Estimate _{t} - EPS Estimate _{t - n}}{∣ EPS Estimate _{t - n} ∣}

Related terms

Earnings Announcement Drift, Momentum Factor, Alpha Signal

Source excerpts (5)

The quarterly rebalance schedule will resume as normal in June 2025. STOXX INDEX METHODOLOGY GUIDE 594/639 18. STOXX FACTOR INDICES  Earnings Momentum is given by the sum of the number of EPS upgrades for the current (FY1) and following (FY2) fiscal years minus the sum of the FY1 and FY2 EPS downgra

— Stoxx Index Guide (PDF), p. 594

Our research has shown that combining Momentum signals across both price and fundamentals — such as earnings momentum or earnings momentum drift — enhances signal strength (Figure 2). This approach helps us avoid simplistic exposures and better reflect what Momentum

— Q&A with BlackRock: fourth year of multifactor collaboration with STOXX a…

he Factors are combined to create a - Multi-Factor Alpha Signal, as described below. F The Momentum Factor is a composite of the following 2 Signals: Earnings Momentum, and Price Momentum. A • Earnings Momentum is given by the sum of the number of EPS upgrades for the current C (FY1) and following (FY2) fiscal years

— Istoxx Index Guide (PDF), p. 918

stors. “In today’s low-rate environment, investors need to broaden their sources of income as well as diversify them. With strong economic growth and earnings momentum, a number of EM companies can be an attractive source of returns and income for investors.” “While EMs offer an outstanding growth opportunity and ha

— Q&A with FlexShares: Quality and ESG as risk-control tools for EM Low-Vol…

to maximize exposure to a multifactor signal created from the following five factors: Momentum The momentum score is calculated from price momentum, earnings momentum and earnings announcement drift (i.e., the difference between a stock’s performance on and immediately following an earnings announcement date). Qual

— STOXX Equity Factor Indices | STOXX

Equal Risk Contribution

▰ 4

A portfolio construction method where each constituent is weighted so that it contributes an equal share of the total portfolio risk (volatility). STOXX Equal Risk indices solve for weights $w_{i}$ such that $w_{i} \cdot (Σ w)_{i} = \frac{σ _{p}^{2}}{N}$ for all $i$ , where $Σ$ is the covariance matrix.

Note

instead of giving each stock equal dollars, you give each stock an equal “risk budget.” A highly volatile stock gets less money; a stable stock gets more — so no single name dominates portfolio risk.

RC_{i} = w_{i} \cdot \frac{\partial σ _{p}}{\partial w _{i}} = \frac{σ _{p}}{N} \forall i

Related terms

Risk Parity, Risk Budget, Minimum Variance, Maximum Diversification

Source excerpts (1)

ithin 0.25 standard deviations of Parent Index Active targeted style factor exposures > 0 vs Parent Index Equal Risk Contribution by targeted factors Equal Risk Contribution by targeted factors Active Risk Within 1% w.r.t. Parent Index Limit turnover 7.5% one-way on a quarterly basis Effective number of names Minimum of 3

— Istoxx Index Guide (PDF), p. 702

F

Factor (Definition)

▰▰▰▰▰▰▰ 5,508

Quote

“A factor is a characteristic that explains differences in stock returns. If it is persistent, pervasive, and has an economic rationale, it deserves a place in portfolio construction.”

— Andrew Ang, Asset Management: A Systematic Approach to Factor Investing (2014)

A systematic, persistent, and economically motivated driver of security returns. STOXX recognizes canonical factors including value, momentum, quality, low volatility, and size. Each factor is operationalized through specific financial metrics, standardized into z-scores, and used to tilt portfolio weights away from market capitalization.

Note

a factor is a measurable characteristic of stocks — like cheapness or recent performance — that has historically been rewarded with higher returns over long periods, backed by economic reasoning.

Related terms

Factor Investing, Factor-Based Index, Smart Beta

Source excerpts (5)

ADTV 𝐸𝑈𝑅 𝑖 𝑤 = 𝑖𝑡 ∑40 6𝑀 𝐴𝐷𝑇𝑉 𝐸𝑈𝑅 𝑗=1 𝑗 where the denominator is the sum of the six-month ADTV in EUR of all 40 companies in the index. The weighting factor of component i at time t is calculated as follows: 𝑤 𝑖𝑡 𝑤𝑓 =100bn∗ 𝑖𝑡 𝑝 𝑖𝑡 with 𝑝 being the closing price of component i at time t.

— Dax Equity Index Methodology Guide 5526498614 (PDF), p. 93

1999 to Jul. 2016. Factors shown are the standard Axioma style factors. Note: cumulative factor exposures of a strategy relative to a benchmark do not generally add to zero as it is measured in terms of risk allocation.. STOXX LIMITED

— Stoxx Minvar Paper (PDF), p. 8

How are performance-based equity awards defined? For the purposes of the CEO Performance-based Equity Factor, which assesses whether the CEO has received performance- based equity, a performance-based equity award is defined as any form of equity award where

— Canadian Equity Plan Scorecard Faq (PDF), p. 15

)∙ + ) 𝑖 𝑐𝑤 𝑤 𝑛 0.07 𝑖 𝑖=1 The previous year’s GHG intensity reduction (starting from 2022 with respect to 2021) is calculated as: 147 Standard decay factor, suggested and used by Riskmetrics iSTOXX® METHODOLOGY GUIDE 753/1024 103.iSTOXX GLOBAL CLIMATE CHANGE ESG INDEX 𝐼𝑛𝑑𝑒𝑥 𝐺𝐻𝐺 𝐼𝑛𝑡𝑒𝑛𝑠𝑖𝑡𝑦 ∙(𝐼𝑛

— Istoxx Index Guide (PDF), p. 752

, the Code refers to one-third independence, depending on each company’s circumstances, including governance structure. This proposed policy does not factor in outside directors’ independence. While independence is conceptually important, too much emphasis on independence at this stage of Japan’s corporat

— 10 2017 Comment Period Template Japan Director Elections Outside Directors (PDF), p. 2

Factor Diversification

▰▰ 6

The practice of combining multiple factor exposures within a single portfolio to reduce the cyclicality of returns. Because factors (e.g., value and momentum) often have low or negative correlations with each other, blending them produces a smoother return profile than any single-factor strategy.

Note

different factors “take turns” performing well. Value might struggle when momentum shines, and vice versa. Holding both in one portfolio is like diversifying across asset classes — but within equities.

Related terms

Multi-Factor, Multifactor Signal, Factor Investing

Source excerpts (5)

On the other hand, value and reversal stocks, which are described as countercyclical, slightly underperformed the market. Figure 1: Factor diversification in practice Drawdown risk The distribution of returns in Figure 1 highlights an essential aspect of the EURO STOXX Multi Premia Index: its diversific

— The Power of Factor Diversification | Blog posts | STOXX

The multifactor portfolio, on the other hand, did not exhibit any sustained underwater periods. Intra-factor diversification A final consideration involves the construction of individual factors. Just as the combination of styles in a multi-factor portfolio can perform bett

— Multifactor strategies: Proving their worth in the factor investment landscap…

These include market-relative caps on sector and country weights as well as absolute and market-relative limits on individual security weights. Factor diversification Additional considerations include criteria around systematic exposures, or how much the index can be tilted toward any single factor.

— Qontigo launches modern STOXX multifactor indices to underlie iShares ETFs ma…

in multiple single-factor portfolios according to desired weights, but rather seek to integrate the different factors in an efficient way to capture factor diversification. For every security, an aggregate multifactor score is computed as the average of the individual factor scores.

— Introducing the STOXX Factor Indices | STOXX

egically seek outperformance, or implement tactical views with factor ETFs.” You highlight risk management. Why is it important for investors to have factor diversification from that perspective? Lukas: “Factor investing is all about accessing differentiated sources of risk and returns.

— BlackRock and STOXX collaboration: iShares multi-factor ETFs track STOXX indi…

Factor Investing

▰▰▰▰▰ 219

Quote

“Factor investing democratized what quantitative hedge funds had been doing for decades. It put the building blocks of returns into the hands of every investor.”

— Antti Ilmanen, AQR Capital Management, Expected Returns (2011)

An investment approach that targets specific, evidence-based return drivers (factors) through systematic portfolio construction. STOXX implements factor investing via transparent, rules-based indices that overweight securities with desirable factor characteristics and underweight (or exclude) those without.

Note

instead of buying the whole market by size, factor investing deliberately tilts toward stocks that share a trait — cheapness, recent winners, financial health — that academic research has shown earns a premium over time.

Related terms

Factor (Definition), Smart Beta, Factor-Based Index, Risk Premia

Source excerpts (5)

Continue active refreshing of this index’s data? Continue active refreshing of this index’s data? Factor Investing Most Recent Factor Investing A rotation out of technology and AI-related stocks weighed on US indices in February, while inflows into lower-valuation

— Factor Investing | STOXX

An increase in the number of passive investment vehicles that offer such strategies in a systematic way has opened up the world of factor investing to a much larger audience. We spoke to Jan-Carl Plagge, head of applied research at STOXX Ltd., to ask him why factor-based passive strategies are pr

— Factor Investing: Q&A on Flows, Outlook | Blog posts | STOXX

In 2021, “alpha produced a return that was more than two percentage points higher than in 2011, the next-best year.” “Rumors of factor investing’s demise have been greatly exaggerated,” she concludes. We invite you to download and read the white paper. 1 Brown, M., ‘Unpacking the alpha compone

— Not so fast. Factor investing is alive and doing well! | Blog posts | STOXX

This video first appeared on Asset TV’s MASTERCLASS: Factor Investing – June 2023. Recent market developments and investing trends have prompted investors to reconsider their investment allocations.

— MASTERCLASS: Factor Investing - June 2023 | Blog posts | STOXX

ting, what defines a modern factor strategy, and what the collaboration with STOXX has brought to the iShares offering. Below is our exchange. Priya, factor investing has evolved in recent years. How have BlackRock’s factor strategies changed? “Factor investing, of course, has been around for decades.

— Q&A with BlackRock: fourth year of multifactor collaboration with STOXX a…

Factor Premium

▰▰ 6

Quote

“Factor premia exist because they compensate investors for bearing risks that others are unwilling to hold, or because behavioural biases create persistent mispricings.”

— Eugene Fama & Kenneth French, “The Cross-Section of Expected Stock Returns”, Journal of Finance (1992)

The long-run excess return attributable to systematic exposure to a specific factor, measured as the average return difference between a portfolio long high-scoring securities and short low-scoring securities on that factor. STOXX factor indices are designed to capture these premia in a long-only, investable format by overweighting high-scoring stocks relative to the benchmark.

Note

the factor premium is the “payoff” for bearing factor risk. The value premium, for example, is the historical return gap between cheap and expensive stocks. Factor investing works only if these premia persist — and STOXX index design assumes they do over full market cycles.

Factor Premium_{k} = \frac{1}{T} t = 1 \sum T (R_{t}^{long} - R_{t}^{short})

where the long (short) portfolio holds the top (bottom) quintile on factor $k$ .

Related terms

Risk Premia, Factor Crowding, Factor (Definition)

Source excerpts (5)

Based on relevant and scientifically proven ratios, the best stocks from the investment universe are selected for each factor premium — value, size, momentum, residual momentum, reversal, low risk and quality.

— Q&A: Credit Suisse’s Froehlich on Multi-Premia Investing | Blog posts | S…

reviews the risk management, diversification and turnover constraints built into the index methodology, a process that upholds the harvesting of the factor premium in an investable and repeatable framework. One of the key takeaways from the study is that the customized Multifactor signal behind the index has a “

— A behind-the-scenes look at the STOXX Equity Factor indices | Blog posts | STOXX

r Market Neutral Indices hold a short position in futures on the STOXX Europe 600 to neutralize systematic risk and hence gain exposure purely to the factor premium. ESG strategies to pay off Following a difficult year, environmental, social and governance (ESG) strategies may catch up as more investors adopt res

— 2019 Market Outlook II – Dollar Down, Risk Up? | Blog posts | STOXX

typical tracking error target of 1–2% helps ensure that the portfolio stays suitable for core allocations, while still aiming to deliver a persistent factor premium. In other words, it’s not about giving each factor the same weight — but rather giving them the appropriate risk budget within a diversified, long-te

— Q&A with BlackRock: fourth year of multifactor collaboration with STOXX a…

m stocks with all constraints considered. Opportunities in 2018 Many investors say momentum will continue to perform well in 2018, although, like all factor premiums, it is subject to cyclicality and reversals. The BlackRock Investment Institute cites continued global economic expansion and a low-volatility regim

— Evaluating the true cost of momentum investing | Blog posts | STOXX

Factor Rotation

▰ 1

A dynamic strategy that adjusts factor exposures over time based on the macroeconomic cycle, factor valuations, momentum of factor returns, or other timing signals. While STOXX’s core factor indices use static factor weights, Qontigo research explores rotation frameworks that shift allocations between value, momentum, quality, and low volatility depending on regime indicators.

Note

factor rotation is the idea of being a “factor timer” — overweighting value when value is cheap and momentum when trends are strong. It is appealing in theory but difficult in practice, which is why most STOXX indices stick to fixed multi-factor blends and leave rotation to active managers.

Related terms

Factor Diversification, Factor Crowding, Multi-Factor

Source excerpts (1)

off, how has the iShares multifactor suite performed since launch three years ago? “The past three years have been a volatile period, marked by sharp factor rotations, inflation surprises and diverging Growth and Value performance. Yet the suite held up well, demonstrating the benefits of diversification and disci

— Q&A with BlackRock: fourth year of multifactor collaboration with STOXX a…

Factor Tilt

▰▰ 6

The deliberate overweighting or underweighting of securities based on their factor scores relative to a benchmark. STOXX factor-tilted indices apply a multiplier to each security’s benchmark weight proportional to its factor z-score, then renormalize to sum to 100%.

Note

a factor tilt says “keep roughly the same portfolio as the benchmark, but lean more heavily toward stocks that score well on the factor.” It is a moderate approach — halfway between a passive index and a pure factor portfolio.

w_{i}^{tilted} = \frac{w _{i}^{bench} \cdot e ^{κ \cdot z_{i}}}{\sum _{j} w _{j}^{bench} \cdot e ^{κ \cdot z_{j}}}

where $κ$ controls the aggressiveness of the tilt and $z_{i}$ is the factor z-score.

Related terms

Alpha Signal, Factor-Based Index, Active Industry Constraint

Source excerpts (5)

These constraints around country, sector and currency risk embedded in the methodology seek to provide a factor tilt as pure as possible, while being neutral around all other sources of risk. “There is a direct link between information decay, tracking error, rebalan

— Evaluating the true cost of momentum investing | Blog posts | STOXX

1 The STOXX Europe 600 Industry Neutral Ax Multi-Factor Index is constructed so that it gets most of its risk – and therefore return – from its style factor tilts, and we see that that is the case in most years. In a few years we see a large ‘specific return,’ or the proportion of actual return not explained b

— The diversification benefits of a multi-factor approach: the STOXX Europe 600…

d analytics of Axioma Factor Risk Models. On a global basis, Size showed the best performance last month while Low Risk had the weakest one. The Size factor tilts towards the smallest-capitalization stocks. Over the entire 2023, Quality was the strongest factor. Risk and return characteristics Return (%) Annua

— Monthly Index News December 2023 (PDF), p. 24

ices that G have the lowest absolute ex-ante volatility under different ESG, Carbon and SDI constraints. Those indices also place controls over style factor tilts, industry / country exposures and liquidity / tradability. W Indices: The iSTOXX APG World-X and Responsible Minimum Volatility Index Range is O com

— Istoxx Index Guide (PDF), p. 802

basis, Size showed the best performance in December while Low Risk was the weakest style, according to the STOXX Factor indices (Figure 5). The Size factor tilts towards the smallest-capitalization stocks. For 2023, the STOXX® Global 1800 Ax Quality was the strongest factor with a 30.6% gain. Figure 5: STOXX

— Stocks extend gains in December, lifting indices to record highs | Blog posts…

Factor-Based Index

▰▰ 8

A rules-based, transparent index whose weighting scheme is derived from one or more factor signals rather than pure market capitalization. STOXX offers single-factor indices (e.g., STOXX Europe 600 Value) and multi-factor indices (e.g., STOXX Global Multi-Factor) as investable benchmarks for factor strategies.

Note

a factor-based index is like a regular stock index — the S&P 500 or EURO STOXX 50 — except the weights are tilted by a factor score instead of simply reflecting company size.

Related terms

Factor Investing, Smart Beta, Factor Tilt

Source excerpts (5)

TOXX Ltd., part of the ISS STOXX group of companies, today announced its expanding collaboration with L&G, with L&G’s launch of three developed world factor-based index funds tracking customized iSTOXX indices. These funds, built on customized iSTOXX indices, reflect L&G’s proprietary factor research and aim to bring

— STOXX and L&G collaborate on launch of three L&G developed world fact…

dy period, meaning they can also serve as a great source of diversification. You mentioned low cost. How important is that as a driver for flows into factor-based index products? Our experience is that lower fees can be a defining variable when comparing active versus passive strategies. But what investors also focus

— Factor Investing: Q&A on Flows, Outlook | Blog posts | STOXX

Derived from the STOXX® World AC index, which covers large- and mid-cap developed and emerging markets, this sustainable, factor-based index solution uses the Axioma optimizer to balance multiple investment objectives and considerations.

— Q&A: Building customized, sustainable portfolios based on the STOXX World…

eleration of the phenomenon,” said Roberto Lazzarotto, Global Head of Sales at STOXX. ESG stands for environmental, social and governance strategies. Factor-based index strategies, which select stocks according to specific sources of risk and returns, attracted a net 9.7 billion euros, the most in at least a decade.

— ETF Inflows Grow, Assets Reach Record | STOXX

t rates and sustained economic growth will help corporate earnings. Factor Investing STOXX and L&G collaborate on launch of three L&G developed world factor-based index funds STOXX Ltd. today announced its expanding collaboration with L&G, with L&G’s launch of three developed world factor-based index funds tracking c

— Factor Investing | STOXX

G

Growth Factor

▰ 1

A factor that selects securities exhibiting above-average earnings growth, revenue growth, or expected future growth rates. In the STOXX factor taxonomy, growth is often positioned as the complement of value: growth stocks trade at high valuation multiples justified by superior fundamental expansion, while value stocks trade at low multiples on weaker growth expectations.

Note

the growth factor bets on companies that are expanding quickly — fast-rising revenues, accelerating profits, or analyst forecasts pointing sharply upward. These stocks are rarely cheap, but the thesis is that the market still underestimates how long strong growth can persist.

Growth_{i} = \frac{1}{3} (z_{EPS growth, i} + z_{Revenue growth, i} + z_{Fwd growth, i})

Related terms

Value Factor, Earnings Momentum, Factor (Definition)

Source excerpts (1)

positive active exposures in the Market Sensitivity, Volatility and Liquidity factors, while also being more exposed to the Medium-Term Momentum and Growth factors. Negative active exposures include those to the Dividend Yield, Exchange Rate Sensitivity and Earnings Yield factors. Figure 8: Active style-factor

— The AI revolution is taking place now – a look inside the STOXX Global Artifi…

I

Industry Neutral

▰▰▰▰ 102

A portfolio construction constraint ensuring that the aggregate weight of each GICS industry or ICB sector in the factor portfolio exactly matches its weight in the parent index. STOXX industry-neutral factor indices isolate pure within-sector stock selection alpha by eliminating cross-sector bets entirely.

Note

if the benchmark has 12% in pharmaceuticals, the factor index also holds exactly 12% in pharmaceuticals. All the action happens inside each sector — picking the best factor stocks within each industry — rather than across sectors.

Related terms

Active Industry Constraint, Tracking Error Budget, Factor Tilt

Source excerpts (5)

Before we dive into the analysis, let’s briefly review the methodology and offering of the STOXX Industry Neutral Single and Multi-Factor indices. STOXX Industry Neutral Factor Indices The standard STOXX® Factor Indices are built using commercially accepted and i

— The diversification benefits of a multi-factor approach: the STOXX Europe 600…

Solutions Industry Neutral Factor Indices For investors looking to accurately access pure factor returns, without unintended sector exposures. The STOXX® Industry Neutral Ax Fa

— Industry Neutral Factor Indices | STOXX

The futures will start trading on Apr. 26, Eurex said in a press release. The STOXX Industry Neutral Ax Factor Indices were introduced in February and implement the same methodology of the STOXX® Factor Indices while reducing the active industry cons

— Eurex to List Futures on STOXX Industry Neutral Ax Factor Indices | Blog post…

Index represents the performance of the 60 largest Canadian companies by free-float market capitalization from among the 11 ICB Industries. It is an industry neutral index and is derived from the STOXX Canada 240 index. Universe: The index universe is defined as the new composition of the STOXX Canada 240 index wh

— Stoxx Index Guide (PDF), p. 106

Indices while reducing the active industry1 constraint from +/- 5% to near neutral. In all but eliminating the overall industry deviations, the STOXX Industry Neutral Factor Indices may sacrifice some factor exposure, but benefit from targeting lower levels of active industry risk and avoiding potential performance

— Introducing the STOXX Industry Neutral Ax Factor Indices | Blog posts | STOXX

L

Low Risk Factor

▰▰ 14

A broad factor category encompassing strategies that overweight securities exhibiting lower realized or predicted risk metrics. In STOXX’s framework, low risk subsumes both low volatility (based on historical standard deviation) and low beta (based on market sensitivity), and may be combined with other signals in multi-factor constructions.

Note

the low risk factor is the finding that boring, steady stocks have historically delivered better risk-adjusted returns than wild, volatile ones — contradicting the textbook idea that more risk always equals more reward.

Related terms

Low Volatility Factor, Minimum Variance, Risk Premia

Source excerpts (5)

All indices avoided the extent of losses recorded by the STOXX Europe 600 during the month. The iSTOXX® Europe Low Risk Factor Market Neutral Index had the best return during the month, consolidating its outperformance during the full year.

— Monthly Index News December 2018 (PDF), p. 5

This does not adequately compare with MVP which gives the optimal factor allocation in order to reduce portfolio risk, albeit with a significant Low Risk factor bias. STOXX LIMITED 14 STOXX MINIMUM VARIANCE INDICES 5 A tale of two minimum variance indices The STOXX Minimum Variance Indices provide

— Stoxx Minvar Paper (PDF), p. 13

ESG-X Factor Indices – Regional: Asia/Pacific Key Points Within the responsibly-screened universe in Asia/Pacific, Momentum also led gains while the Low Risk factor trailed all other strategies. Risk and Return Characteristics Return (%) Annualized volatility (%) EUR USD EUR USD 1M YTD 1Y 1M YTD 1Y 1M YTD 1Y 1M Y

— Monthly Index News November 2020 (PDF), p. 22

Looking at the attribution for this period, we observe that the Mixed portfolio was able to better capitalize overall on the Low Risk factor (as defined by Market Sensitivity and Residual Volatility in the Axioma Risk Model), and Value and Size exposures acted as a drag on both methods.

— STOXX Factor and STOXX ESG-X Factor Indices Q2 Spotlight – Mixed Performance,…

turn basis. The iSTOXX® Europe Size Factor Market Neutral Index retreated 2.3%, its sixth straight monthly loss. At the other end, the iSTOXX® Europe Low Risk Factor Market Neutral Index dropped the least. The iSTOXX Europe Factor Market Neutral Indices are designed to offer exposure to factor investing in isolati

— Monthly Index News July 2019 (PDF), p. 7

Low Volatility Factor

▰▰ 14

The specific implementation of the low risk factor that selects or overweights securities with the lowest trailing realized volatility (typically measured over 12 months of daily returns). STOXX low volatility indices rank all constituents of the parent index by inverse volatility and select the least volatile subset.

Note

you rank all stocks from calmest to most volatile, then build a portfolio heavily weighted toward the calm ones. History shows this simple strategy often beats the market on a risk-adjusted basis.

σ_{i} = \frac{1}{T - 1} t = 1 \sum T (r_{i, t} - \overset{r}{ˉ}_{i})^{2}

Securities with the smallest $σ_{i}$ receive the highest weights.

Related terms

Low Risk Factor, Minimum Variance, Equal Risk Contribution

Source excerpts (5)

The Value Factor combines the 5 Signals equally at 20% weights and is again z-scored and truncated. The Low Volatility Factor is given by the standard deviation of monthly total returns in local currency, calculated over the 12 complete months prior to the review cut-off dat

— Stoxx Index Guide (PDF), p. 588

In recent years, however, academia has shifted its focus to the explanation of the so-called low volatility factor. The traditional Capital Asset Pricing Model (CAPM) explains asset returns in excess of the risk-free rate as compensation for systematic, i.e.

— The low volatility premium – An analysis of factor exposures of minimum varia…

rket information in order to always hold the portfolio with minimum risk. Importantly, minimum variance does not equate to a simple allocation to the low volatility factor, which would be represented by a portfolio with long low volatility stocks and short high volatility stocks.

— Stoxx Minvar Paper (PDF), p. 7

s, and so they have the same weight relative to each other. The Small Size factor, for its part, is a high beta, pro-cyclical factor, relative to the Low Volatility factor, which is low beta and a much more defensive factor. Those are opposing factors pulling in opposite directions.

— BlackRock’s Jamie Forbes: Implementing ‘evolutionary’ factor advancements in …

allowed investors to allocate resources to stocks whose features can help make them less vulnerable in volatile markets. That’s true not just of the low volatility factor, but also of quality, high dividend and even value. Factor investing has also provided a channel for a popular risk-mitigation approach: that of mini

— The New Faces of Risk Management | Blog posts | STOXX

M

Minimum Variance

▰▰▰▰▰ 769

A portfolio optimization strategy that seeks the set of weights producing the lowest possible portfolio volatility. STOXX Minimum Variance indices use an estimated covariance matrix (from Axioma or similar risk models) and solve a quadratic program subject to weight caps, turnover limits, and sector constraints.

Note

the minimum variance portfolio answers: “Given these stocks and their historical relationships, what combination produces the smoothest possible ride?” It does not try to predict returns — only to minimize risk.

w^{*} = ar g w min w^{⊤} Σ w s.t. i \sum w_{i} = 1, w_{i} \geq 0

Related terms

Low Volatility Factor, Maximum Diversification, Capping Constraint

Source excerpts (5)

STOXX Ltd. has introduced the STOXX® Emerging Markets 800 LO Minimum Variance Index (STOXX EM 800 LO MinVar), expanding its suite of rules-based minimum variance strategies to the universe of developing nations. The new index i

— A Minimum Variance Strategy for Emerging Markets | Blog posts | STOXX

the benchmark. This means that the min var version will likely have similar attributes to the benchmark as well as achieving the objective of having minimum variance. The min var approach is popular with a broad cross section of clients from traditional ETF product users who use it as an alternative to typical bet

— Minimum Variance has its ‘day in the sun’ - ETF Express

This observation is found to exist across geographies. These findings are likely of great importance for investors while implementing minimum variance strategies. Investors need to be aware of interactions among factors in order to apply appropriate countermeasures.

— The low volatility premium – An analysis of factor exposures of minimum varia…

One month is all it took for the minimum variance strategy to undo the 2018 underperformance carried since April. The STOXX Minimum Variance indices track stocks that have exhibited the lowest individual levels of historical volatility.

— Minimum Variance’s Prowess in Risk Protection | Blog posts | STOXX

The analysis is run on the STOXX® Global 1800 Minimum Variance Index, STOXX® USA 900 Minimum Variance Index, EURO STOXX® Minimum Variance Index, and respective unconstrained versions,3 as well as on their benchmarks. Stress test results (Table1) show that the Minimum Variance indices pr

— Minimum Variance Indices: A Reading Through Geopolitical Risk | Blog posts | …

Momentum Factor

▰▰▰ 50

Quote

“The momentum effect is the premier anomaly in finance. Stocks that have gone up tend to keep going up. It works in every market, in every era, and nobody fully agrees on why.”

— Cliff Asness, AQR Capital Management, on the persistence of the momentum factor

A factor that captures the tendency of recent winners to continue outperforming and recent losers to continue underperforming over medium-term horizons. STOXX implements momentum using 12-month cumulative return with a 1-month reversal exclusion (i.e., months 2 through 12), following the Carhart (1997) convention.

Note

momentum is the “hot hand” effect in markets: stocks that have gone up over the past year (excluding the most recent month) tend to keep going up for a while. Factor indices ride this trend systematically.

Mom_{i} = \frac{P _{i, t - 1}}{P _{i, t - 12}} - 1

The most recent month is excluded to avoid the short-term reversal effect.

Related terms

Price Momentum, Earnings Momentum, Earnings Announcement Drift

Source excerpts (5)

At each iteration, a standardized factor is calculated as: (𝑎𝑑𝑗𝑀𝑜𝑚 −𝑎𝑣𝑒) 𝑠𝑡𝑎𝑛𝑑𝑎𝑟𝑑𝑖𝑧𝑒𝑑 𝑓𝑎𝑐𝑡𝑜𝑟 𝑎𝑑̂𝑗𝑀𝑜𝑚 = 𝑖 𝑖 𝜎 where 𝑎𝑑𝑗𝑀𝑜𝑚 : the risk-factor adjusted momentum factor of stock i 𝑖 𝑎𝑣𝑒: factor average weighted by the stocks’ weights in the parent index 𝜎：factor standard deviation At each iteration, if the standardiz

— Istoxx Index Guide (PDF), p. 266

ntum truly represents: a behavioral phenomenon rooted in investor underreaction, and not just a statistical artifact.” Figure 2: Active returns – USA Momentum factor “It’s worth emphasizing here that innovating in factor design does not mean neglecting traditional factor definitions, but rather building on them to

— Q&A with BlackRock: fourth year of multifactor collaboration with STOXX a…

The STOXX® Global 1800 Basic Resources Index (-6%)3 led losses. The STOXX® Global 1800 Technology Index jumped 7.2% to top all other sectors. Momentum factor back in favor Momentum regained its lead among factor strategies covering global markets, paced by a strong performance from the factor in the US.

— Global Stocks Rise for Fifth Straight Month in June on Continued Economic Opt…

Europe 600 to help investors neutralize systematic risk, struggled in April. Six of the seven indices posted a loss for the month. The iSTOXX® Europe Momentum Factor Market Neutral Index was the exception, posting a 0.7% advance. The indices are designed to give investors exposure to pure factor investing. Risk an

— Monthly Index News April 2019 (PDF), p. 6

/stoxxnet/Documents/Resources/Data_Vendor_Codes/vendor_codes_sheet.csv STOXX INDEX METHODOLOGY GUIDE 587/639 18. STOXX FACTOR INDICES The Momentum Factor is a composite of the following 3 Signals: Earnings Announcement Drift, Earnings Momentum, and Price Momentum.  Earnings Announcement Drift is given

— Stoxx Index Guide (PDF), p. 587

Multi-Factor

▰▰▰▰▰ 239

An index or strategy that systematically combines two or more factor signals into a single portfolio. STOXX multi-factor indices may use either a composite scoring approach (blending z-scores before optimization) or a portfolio blending approach (combining single-factor portfolios). The composite approach is more common in STOXX methodology.

Note

instead of betting on one factor, you bet on several at once — for example, value + momentum + quality. This hedges your bets because different factors outperform in different market conditions.

Related terms

Factor Diversification, Multifactor Signal, Alpha Signal

Source excerpts (5)

Before we dive into the analysis, let’s briefly review the methodology and offering of the STOXX Industry Neutral Single and Multi-Factor indices. STOXX Industry Neutral Factor Indices The standard STOXX® Factor Indices are built using commercially accepted and institutionally tested fa

— The diversification benefits of a multi-factor approach: the STOXX Europe 600…

Last June, BlackRock revitalized its multi-factor product suite with the relaunch of the iShares U.S. Equity Factor ETF (LRGF) and iShares International Equity Factor ETF (INTF).

— BlackRock and STOXX collaboration: iShares multi-factor ETFs track STOXX indi…

ity, earnings yield, leverage, value and low volatility (accomplished through a minimum variance objective), with constituent weights determined by a multi-factor optimization process. ECBV is linked to the EURO STOXX ESG-X & Ex Nuclear Power Minimum Variance Unconstrained Index and takes the same approach to E

— UniCredit launches ESG-screened Eurozone multi-factor and low vol ETFs | ETF …

Last August, Credit Suisse Asset Management (Switzerland) Ltd. launched the first index fund tracking the EURO STOXX® Multi Premia Index, a multi-factor strategy based on cutting-edge research. The index integrates the academic research-based Multi Premia® methodology developed by Finreon, a spin-off

— Q&A: Credit Suisse’s Froehlich on Multi-Premia Investing | Blog posts | S…

CHANGES TO THE GUIDE BOOK Low-Carbon, iSTOXX APG World Multi-Factor Responsible SDI and iSTOXX APG World Multi-Factor Responsible Low-Carbon SDI Indices » May 2024: Addition of EURO iSTOXX 50 ESG NR Decrement 4% Index » May 2024(2): Methodology update of EURO iSTOXX

— Istoxx Index Guide (PDF), p. 43

Multifactor Signal

▰▰ 19

The composite score produced by combining individual factor z-scores into a single ranking metric. STOXX multi-factor indices compute this signal as a weighted average of standardized factor scores, typically with equal weight assigned to each factor unless the methodology specifies otherwise.

Note

the multifactor signal is the “final grade” each stock gets after being scored on multiple dimensions. A stock that is cheap (value), trending up (momentum), and financially healthy (quality) gets a high composite score.

S_{i} = \frac{1}{K} k = 1 \sum K z_{i, k}

where $K$ is the number of factors and $z_{i, k}$ is the winsorized z-score for factor $k$ .

Related terms

Alpha Signal, Multi-Factor, Factor Tilt

Source excerpts (5)

Equity Factor index. Factor definitions The authors first explore the composition of the Multifactor signal (Figure 1), which, as reported in previous studies, is grounded in the latest academic research.

— A behind-the-scenes look at the STOXX Equity Factor indices | Blog posts | STOXX

Equity Factor Index | STOXX World AC Index | From the respective starting universes, constituents are selected and weighted to maximize exposure to a multifactor signal created from the following five factors: Momentum The momentum score is calculated from price momentum, earnings momentum and earnings announcement d

— STOXX Equity Factor Indices | STOXX

This paper explores the design of the STOXX U.S. Equity Factor index and the Multifactor signal that lies at the core of the STOXX Equity Factor suite designed in collaboration with BlackRock. The STOXX Equity Factor indices were devised as core

— A behind-the-scenes look at the design of the STOXX U.S. Equity Factor index …

exposure to a multifactor alpha signal while adhering to a set of constraints intended to closely track their broad equity market parent indices. The multifactor signal is composed of the Momentum, Quality, Value, Low volatility and Low size factors. The STOXX® Global Equity Factor index has outperformed the benchmar

— Monthly Index News November 2025 (PDF), p. 21

he authors consider two parent universes: the STOXX® USA 900 and STOXX® Global 1800 ex USA indices. They select an alpha signal (a single factor, the multifactor signal[1], or the individual components used to create the factors) and then construct a portfolio that maximizes its exposure to that alpha signal, subject

— Multifactor strategies: Proving their worth in the factor investment landscap…

N

Net Operating Assets (Changes in)

▰▰▰▰▰ 755

A quality signal measuring the year-over-year change in net operating assets (total assets minus cash minus total liabilities plus debt) scaled by lagged total assets. In STOXX quality scoring, a large increase in net operating assets is considered a negative signal — it suggests aggressive accounting or unsustainable asset growth.

Note

if a company’s balance sheet is rapidly expanding (excluding cash), it might be over-investing, over-acquiring, or using aggressive accounting. STOXX quality indices penalize this “asset bloat” because it often precedes poor returns.

Δ NOA_{i} = \frac{NOA _{t} - NOA _{t - 1}}{Total Assets _{t - 1}}

Related terms

Accruals, Quality Factor, Dilution

Source excerpts (5)

In such cases, the composition remains unchanged, but new weighting factors will be implemented. Market participants will be notified of such changes in a timely manner. 4.4.2. TURNOVER RATIO The annualized turnover ratio is defined as the median value of the daily traded volume to the free- float sha

— Stoxx World Equity Index Guide (PDF), p. 17

This responds to investors and traders buying or selling protection (puts) against increasing future moves, prompting changes in implied volatility. Although the main index VSTOXX 30 days is the most popular – and is usually referred to as “the VSTOXX” – eleven other main indic

— Monthly Index News August 2024 (PDF), p. 4

Factor Correlations (60 days) and Changes in Correlations (vs previous 60 days) 1. Correlations are unweighted and based on daily returns and changes in yield/spread over the past 60 business days. The lower left triangle of the matrix represents current correlations.

— Axioma Multi Asset Class Risk Monitor (PDF), p. 1

Note that Brazilian companies frequently seek shareholder approval to ratify even non-material changes in share capital. ISSGOVERNANCE.COM 4 of 19 BRAZIL PROXY VOTING GUIDELINES Change in Company Fiscal Term General Recommendation: Vote for reso

— Brazil Voting Guidelines (PDF), p. 4

No EWMA smoothing is applied.  Change in NOA is given by the negative of the monthly change in net operating assets divided by the 36-month rolling average of total assets, with net operating assets calculated as the monthly delta in operating assets (total assets

— Stoxx Index Guide (PDF), p. 587

P

Price Momentum

▰▰ 17

The trailing total return of a security over a defined look-back window, typically 12 months with a 1-month skip. STOXX uses price momentum as the primary signal for its momentum factor indices, computed from adjusted closing prices to account for dividends and corporate actions.

Note

price momentum is straightforward: how much has the stock gone up (or down) over the past year? The most recent month is skipped because very short-term returns tend to reverse rather than continue.

Price Mom_{i} = \frac{P _{i, t - 21}}{P _{i, t - 252}} - 1

(using trading days: skip the most recent ~21 days, look back ~252 days total)

Related terms

Momentum Factor, Earnings Momentum, Factor Tilt

Source excerpts (5)

This ensures that the index is highly liquid. Companies must also rank among the top 80% in the HDAX universe, measured in terms of price momentum, excluding companies with a past price history of less than 12 months. Companies with a past price history stretching back less than 12 months (e.g.,

— Dax Equity Index Methodology Guide 5526498614 (PDF), p. 73

O R A N D R iSTOXX® METHODOLOGY GUIDE 919/1024 127.iSTOXX APG WORLD MULTI- FACTOR AND RESPONSIBLE INDICES • Price Momentum is given by the sum of monthly local currency returns over the 12 complete months prior to the review cut-off date, excluding the latest month.

— Istoxx Index Guide (PDF), p. 919

Their constituency is no longer simply determined by each stock’s domicile — but instead by a wide menu of variables ranging from revenue source to price momentum to the number of female board members. Big data has empowered the possibilities of index design, and stock selection relies on novel methodologies.

— The Index World and Twenty Years of Europe’s ETFs | STOXX

h, Connecticut, with almost $200 billion under management; it is known for its applied research in investment strategies. Large and significant alpha Price momentum is the well-researched observation that assets that have outperformed in the recent past will continue to do so in the immediate future, and vice ver

— Factor Performance Can Be Timed and Exploited, Study Finds Factor Performance…

ted and weighted to maximize exposure to a multifactor signal created from the following five factors: Momentum The momentum score is calculated from price momentum, earnings momentum and earnings announcement drift (i.e., the difference between a stock’s performance on and immediately following an earnings annou

— STOXX Equity Factor Indices | STOXX

Q

Quality Factor

▰▰▰▰ 63

Quote

“Quality is a factor that buys profitable, growing, safe companies and avoids unprofitable, stagnant, risky ones. It is the factor Warren Buffett never named but always exploited.”

— Robert Novy-Marx, “The Other Side of Value: The Gross Profitability Premium”, Journal of Financial Economics (2013)

A composite factor that identifies companies with strong profitability, low leverage, stable earnings, and conservative accounting. STOXX defines quality using multiple sub-signals including return on equity (ROE), accruals ratio, change in net operating assets, and dilution. Sub-signals are standardized and combined into a single quality z-score.

Note

quality is about separating well-run companies from poorly-run ones using financial statement data. High-quality companies earn strong profits on their assets, do not inflate earnings through accounting tricks, and avoid excessive debt.

Quality_{i} = \frac{1}{M} m = 1 \sum M z_{i, m}

where sub-signals $m$ include ROE, accruals, $Δ$ NOA, and dilution.

Related terms

Accruals, Dilution, Net Operating Assets (Changes in), Value Factor

Source excerpts (5)

ccruals, gross profitability and low investments to bottom-line profitability measures such as return-on-equity and margins. Behind the iSTOXX Europe Quality Factor Index The iSTOXX Europe Quality Factor Index assesses a company’s financial health through a combined approach based on profitability, leverage, and

— The Quality Factor | Blog posts | STOXX

Quality Factors: On a semi-annual basis in June and December, for all remaining stocks in each respective universe, the following quality factors are calculated and two sets of percentile ranks are assigned to the following factors below, where rank 0 is the worst and rank 1 the best.

— Istoxx Index Guide (PDF), p. 269

Momentum Factor combines the Signals at 25%, 50% and 25% weights, respectively, and is again z-scored and truncated at +/-3 standard deviations. The Quality Factor is a composite of the following 6 Signals: Accruals, Dilution, Gross Profitability, Change in Net Operating Assets (NOA), Carbon Emissions Intensity,

— Stoxx Index Guide (PDF), p. 587

ESG portfolio construction comes from our recent work with Northern Trust’s FlexShares unit to produce indices that combine their own ESG scoring and quality factor methodology, with ISS climate data and Qontigo’s index construction and optimization capabilities.

— Flexible approach in use of ESG data is key driver in advancing sustainabilit…

The indices hold a short position in STOXX Europe 600 futures to help investors neutralize systematic risk. The iSTOXX® Europe Quality Factor Market Neutral Index had the highest return, at 1.2%. The iSTOXX Europe Factor Market Neutral Indices are designed to offer exposure to pure factor i

— Monthly Index News February 2021 (PDF), p. 23

R

Risk Budget

▰▰ 6

The maximum contribution to total portfolio risk allocated to a single security, sector, or factor. STOXX risk-based indices enforce risk budgets during optimization — for example, no single stock may contribute more than a fixed percentage of total portfolio variance.

Note

a risk budget is like a spending cap but for risk. Instead of saying “no stock above 5% of portfolio dollars,” you say “no stock above 5% of portfolio risk.” This is a more sophisticated way to control concentration because a small-weight volatile stock can contribute more risk than a large-weight stable one.

Related terms

Equal Risk Contribution, Risk Parity, Capping Constraint

Source excerpts (5)

Importantly, they show that the use of an optimizer and a risk model in the process can help reduce active risk, freeing up more of the risk budget to increase the allocation to sustainable holdings or to those expected to generate better returns. Brown and Stubbs analyze the risk profile of a po

— Green efficient frontiers: Minimizing the risk impact of exclusions in sustai…

ncrementally ‘layer in’ specific ESG filters (Exclusions, ESG Leaders, Carbon and SDI) allowing APG to measure and report on the impact on return and risk budget (measured by tracking error) for each of the individual criteria. The five customized indices launched are: - iSTOXX APG World-X Index - iSTOXX APG W

— APG and Qontigo Launch STOXX Family of Groundbreaking Responsible Indices: Bl…

untry, and factor exposures that might emerge as an outcome of the sustainability targets; and the ability to measure and report on the impact of the risk budget on each of the ESG criteria or constraints. To meet all of these objectives, APG required a flexible and nimble partner with expertise in sustainable

— “Layered” Approach to ESG Results in Innovative Responsible Indices…

ng to deliver a persistent factor premium. In other words, it’s not about giving each factor the same weight — but rather giving them the appropriate risk budget within a diversified, long-term investment solution.” Can you briefly describe, in that context, how you build the multifactor portfolio? “We start b

— Q&A with BlackRock: fourth year of multifactor collaboration with STOXX a…

nting a different ESG, carbon and Sustainable Development Investments (SDI) strategy and quantifying the resulting effect on a portfolio’s return and risk budget. The indices use Qontigo’s line of Axioma portfolio construction tools, STOXX index design capabilities and, for the first time ever, data derived fr

— Qontigo’s Seegopaul and Gu: ‘iSTOXX APG Responsible Investment Indices Design…

Risk Parity

▰ 3

A portfolio construction strategy that allocates risk equally across asset classes, factors, or individual securities. STOXX Risk Parity indices extend the Equal Risk Contribution concept across multiple asset classes (equities, bonds, commodities) by leveraging lower-risk assets and deleveraging higher-risk assets until each contributes equally to total volatility.

Note

risk parity says: “Bonds are much less risky than stocks, so if you want equal risk contribution, you need to hold a lot more bonds (potentially using leverage) and fewer stocks.” It is the multi-asset version of equal risk contribution.

Related terms

Equal Risk Contribution, Risk Budget, Maximum Diversification

Source excerpts (3)

the basis to select the top third of stocks to be included in each individual risk-premium portfolio. The weighting of the stocks is determined by a risk-parity approach, whereby each constituent contributes equally to the overall risk of the portfolio.

— Equity Risk Premia with Academic Foundation | Blog posts | STOXX

Within these individual factor portfolios of the EURO STOXX Multi Premia, a risk-parity approach is used to weight the individual securities. This promotes a high level of diversification and good risk-return efficiency.

— Q&A: Credit Suisse’s Froehlich on Multi-Premia Investing | Blog posts | S…

folio can be constructed by long positions in four non-market-cap-weighted schemes: a global minimum-variance portfolio, an equal-weight portfolio, a risk parity portfolio and a dividend-weighted portfolio; hedged via short positions in four respective market indices.4, 5 DAX, the iconic blue-chip index for Ge

— What’s Behind the Edge in Equal-Weight Strategies? | Blog posts | STOXX

Risk Premia

▰▰▰▰ 120

The excess return earned by bearing systematic, non-diversifiable risk associated with a specific factor. STOXX factor indices are designed to harvest risk premia — the value premium, momentum premium, quality premium, etc. — in a transparent, rules-based, and cost-efficient manner.

Note

a risk premium is the reward investors receive for taking on a particular type of risk. The value premium, for example, compensates investors for holding cheap (often distressed) companies. Factor indices are tools for capturing these premiums systematically.

Related terms

Factor Investing, Factor (Definition), Smart Beta

Source excerpts (5)

ad and liquid universe of Eurozone equities that is the EURO STOXX® Index. Proven track record Testament to their well-researched drivers, all single risk premia have demonstrated their prowess in producing market-beating returns. Chart 1 shows the performance of the seven single premium indices since their da

— Equity Risk Premia with Academic Foundation | Blog posts | STOXX

TOXX UNIVEST WORLD FACTOR INDEX OVERVIEW The iSTOXX Univest World Factor Index provides exposure to the Univest Value, Momentum, Quality and Low Risk risk-premia factors, closely tracks the STOXX Developed World parent index with an ex-ante tracking error of 1% while ensuring tradability and diversification. P

— Istoxx Index Guide (PDF), p. 710

Second, applying the methodology on a slightly narrower benchmark does not impede risk premia harvesting. Investors who prefer to incorporate ESG principles into their factor-based portfolios, can do so without sacrificing returns, whether act

— Combining ESG Screens and Factor Tilts: A Study on Portfolio Returns | Blog p…

This is evidence that these are potentially more efficient vehicles for accessing factor risk premia than most current product offerings, the author wrote. Growing assets Smart beta and factor risk premia products have attracted strong flows in recen

— Study Shines Light on Smart Beta’s Effectiveness and Capacity | Blog posts | …

The first of these indices is designed to exploit sources of market-excess returns, so-called risk premia, while filtering out companies deemed in contravention of ESG principles.

— Q&A: UniCredit’s Kilian on ESG+Factor Strategies | Blog posts | STOXX

S

Size Factor

▰▰▰▰ 69

Quote

“Small stocks outperform large stocks, on average, because they are riskier, less liquid, and more exposed to economic downturns. Investors demand compensation for bearing that risk.”

— Rolf Banz, “The Relationship Between Return and Market Value of Common Stocks”, Journal of Financial Economics (1981)

A factor that captures the historical tendency of smaller-capitalization stocks to outperform larger-capitalization stocks over long horizons. STOXX implements the size factor by selecting or overweighting constituents with lower free-float market capitalization within the parent universe.

Note

small companies tend to grow faster than large ones, and their stocks have historically earned higher returns — though with more volatility. The size factor tilts toward these smaller names.

Size Score_{i} = - ln (Market Cap_{i})

Negative log ensures that smaller companies receive higher scores.

Related terms

Factor (Definition), Smart Beta, Factor-Based Index

Source excerpts (5)

+7.1%). So far, this pattern has not continued in 2018. While February and March saw the STOXX® Europe 600 Index drop 5.7%, the iSTOXX Europe Size Factor Index lost ground by only 4.2%. The iSTOXX® Europe Size Factor Market Neutral Index, which neutralizes systematic risk by holding a short position in

— A Closer Look at the Size Factor | Blog posts | STOXX

a year but goes through a quarterly so-called Fast Exit/Fast Entry review to account for significant changes in companies’ market capitalization. The size factor To many investors, small-caps are the holy grail of stock-picking. Often young companies in the early stages of expansion, with low analyst coverage

— Exploring SDAX, the benchmark for German small companies | Blog posts | STOXX

] MONTHLY INDEX NEWS / October ESG-X Factor Indices – Regional: Asia/Pacific Key Points Within the responsible-screened universe in Asia/Pacific, the size factor led losses during October, with the STOXX® Asia/Pacific 600 ESG-X Ax Size Index shedding 2.3%.

— Monthly Index News October 2020 (PDF), p. 22

TOXX Equity Factor indices upweight Quality. Value and Momentum are natural pairs, and so they have the same weight relative to each other. The Small Size factor, for its part, is a high beta, pro-cyclical factor, relative to the Low Volatility factor, which is low beta and a much more defensive factor.

— BlackRock’s Jamie Forbes: Implementing ‘evolutionary’ factor advancements in …

qual-weighted variant since 2002. Chart 2 Source: STOXX, total returns after taxes in USD, Mar. 18, 2002 – Oct. 31, 2018. From risk management to the size factor Various studies have put forward several explanations as to why an equal-weight strategy may outperform a market-cap-weighted one. One of the first a

— What’s Behind the Edge in Equal-Weight Strategies? | Blog posts | STOXX

Smart Beta

▰▰▰▰ 84

Quote

“Smart beta is neither smart nor beta. It is systematic factor exposure delivered through transparent, rules-based index construction.”

— Cliff Asness, AQR Capital Management, critiquing the marketing term “smart beta”

An umbrella term for rules-based index strategies that deviate from traditional market-capitalization weighting in pursuit of improved risk-adjusted returns, lower risk, or enhanced diversification. STOXX’s smart beta suite includes factor indices, risk-based indices (minimum variance, maximum diversification, equal risk contribution), and alternatively weighted indices (equal weight, fundamental weight).

Note

smart beta sits between passive index investing and active management. You still follow transparent rules (like an index), but those rules are designed to be “smarter” than simply weighting by company size — for example, weighting by cheapness or equal risk.

Related terms

Factor Investing, Factor-Based Index, Risk Premia

Source excerpts (5)

It reflects our dedication to our clients and the innovative contribution we make to their businesses. Our smart-beta expertise in factor and thematic strategies allows us to address rising sophistication among Asian investors looking to diversify beyond traditional

— STOXX Awarded “Best Smart Beta Index Provider, Asia-Pacific” By SRP | Press r…

In “An Aussie sense of style”, Axioma’s latest paper on smart beta products, we take a look at the inherent compromise between delivering target factor purity versus maximizing factor exposure.

— Smart Beta versus Dumb Alpha | Blog posts | STOXX

A new Qontigo report1 takes a comprehensive look at the market for ‘smart beta’ funds tracking factor strategies, to assess their prowess in boosting returns and their capacity as money inflows grow. The study by Frank Siu, Exec

— Study Shines Light on Smart Beta’s Effectiveness and Capacity | Blog posts | …

IANCE INDICES 2 Characteristics of a minimum variance portfolio (MVP) There is a common misconception that minimum variance indices are just another “smart beta” product, but we would argue differently. Most indices can be used as building blocks as part of a greater portfolio and need to be used as such, bei

— Stoxx Minvar Paper (PDF), p. 7

Top among them are ETFs’ ease of use, market access, speed of execution, liquidity and low cost. Smart beta gains in popularity The share of institutional investors who invest in non-market-cap weighted ETFs, which seek to exploit specific sources of premia

— European Investors Expand Use of ETFs, Survey Finds | Blog posts | STOXX

Tracking Error Budget

▰ 1

The maximum permissible ex-ante tracking error (annualized standard deviation of active returns) between the factor index and its parent benchmark. STOXX factor indices may impose a tracking error constraint during optimization — for example, limiting tracking error to 3% or 5% — to ensure the factor portfolio does not deviate too aggressively from the benchmark.

Note

tracking error measures how differently the factor index behaves compared to the plain market index. A tracking error budget is the maximum amount of deviation allowed. A tight budget (e.g., 2%) produces a portfolio close to the benchmark; a loose budget (e.g., 6%) allows aggressive factor bets.

TE = (w - w_{bench})^{⊤} Σ (w - w_{bench}) \leq TE_{m a x}

Related terms

Active Industry Constraint, Turnover Constraint, Factor Tilt

Source excerpts (1)

may change over time, DWS’ Schiele said. “As investors become more comfortable with a particular topic, they will also, over time, allow for a higher tracking error budget” in their bespoke solutions, he said. More targeted themes Rounding off, the panelists mentioned some of the big trends they see in sustainability in

— Navigating Europe’s equities and sustainable investing landscape | Blog post…

Turnover Constraint

▰▰ 14

A limit on the total amount of trading (buying plus selling) permitted at each index rebalancing. STOXX methodology may impose one-way turnover caps (e.g., maximum 10% per quarter) to control transaction costs and ensure the index remains practically investable for tracking funds and ETFs.

Note

every time the index rebalances, stocks are bought and sold. Excessive trading raises costs (commissions, market impact) that eat into returns. A turnover constraint forces the optimizer to make only modest changes at each rebalance.

Turnover = \frac{1}{2} i \sum ∣ w_{i, t}^{+} - w_{i, t}^{-} ∣ \leq τ_{m a x}

where $w^{+}$ and $w^{-}$ are post- and pre-rebalancing weights.

Related terms

Capping Constraint, Security Weight Cap, Tracking Error Budget

Source excerpts (5)

STOXX FACTOR INDICES Maximum turnover: The indices have a 12.5% one-way turnover constraint, or 25% two-way. This means up to 12.5% of the portfolio is sold in order to purchase other constituents (absolute maximum annual turnover is 100%).

— Stoxx Index Guide (PDF), p. 585

STOXX FACTOR INDICES Maximum turnover: The indices have a 12.5% one-way turnover constraint, or 25% two-way. This means up to 12.5% of the portfolio is sold in order to purchase other constituents (absolute maximum annual turnover is 100%).

— Stoxx Index Guide (PDF), p. 585

re 1: Components of the Multifactor signal in the STOXX Equity Factor indices Risk premium The paper reviews the risk management, diversification and turnover constraints built into the index methodology, a process that upholds the harvesting of the factor premium in an investable and repeatable framework. One of the

— A behind-the-scenes look at the STOXX Equity Factor indices | Blog posts | STOXX

ment 3.75% Index » February 2019 (2): Addition of iSTOXX Developed and Emerging Markets ex USA PK VN Real Estate Index » February 2019 (3): Change of turnover constraint and quality filter for both iSTOXX A.C.I. USA Pure Growth Index and iSTOXX A.C.I.

— Istoxx Index Guide (PDF), p. 32

eighted average days-to-trade ratio threshold for securities to avoid material build-ups in illiquid positions. The indices also have a 12.5% one-way turnover constraint per quarter, meaning that a maximum of 12.5% of the current index weight can be changed to meet the overall index objectives, using the latest data a

— Eurex to List Futures on STOXX Industry Neutral Ax Factor Indices | Blog post…

V

Value Factor

▰▰▰▰ 75

Quote

“Value investing is buying a dollar for fifty cents. The value factor captures this systematically: buy cheap stocks, avoid expensive ones, and let mean reversion do the work.”

— Eugene Fama & Kenneth French, on the value premium in their three-factor model

A factor that identifies undervalued securities by ranking them on fundamental valuation ratios. STOXX value indices typically use a composite of book-to- price, earnings-to-price, and dividend yield. Securities with high composite value scores are overweighted on the premise that the market systematically underprices cheap, out-of-favor stocks.

Note

the value factor is the quantitative version of “buy low.” It looks for stocks that are cheap relative to their fundamentals — low price compared to earnings, book value, or dividends — and bets that these bargains will eventually be recognized by the market.

Value Score_{i} = \frac{1}{3} (z_{B/P, i} + z_{E/P, i} + z_{D/P, i})

where B/P = book-to-price, E/P = earnings-to-price, D/P = dividend yield.

Related terms

Quality Factor, Factor (Definition), Smart Beta

Source excerpts (5)

ized ratio is set to -4 - with fundamental ratios not available, the normalized ratio is set to -4 After normalization, for each stock i, a composite value factor is calculated as an average of the three normalized fundamental ratio as follows: (B̂PR +ÊPR +ĈFPR ) i i i Composite value factor = i 3 After apply

— Istoxx Index Guide (PDF), p. 259

At the other end, the STOXX® Global 1800 Technology Index gained 3%. Size and Value factors post heavy losses Most factor-based strategies provided outperformance relative to markets during November, according to the STOXX Factor Indices.

— Stocks drop in November amid emergence of Omicron virus variant | Blog posts …

This multi-signal approach avoids the overreliance on any single distorted metric that can negatively impact returns.” Figure 1: Active returns – USA Value factor “Momentum is another compelling example. Traditionally, it’s been defined using a stock’s simple, 12-month share-price appreciation, excluding the mo

— Q&A with BlackRock: fourth year of multifactor collaboration with STOXX a…

The Quality Factor combines the Signals at 20%, 20%, 20%, 20%, 13%, and 7% weights, respectively, and is again z-scored and truncated. The Value Factor is a composite of the following 5 Signals: Book to Price, Cash Flow Yield, Time Series Normalized Cash Flow Yield, Dividend Yield and Earnings Yield.

— Stoxx Index Guide (PDF), p. 588

The index targets cheap stocks with high growth potential based on earnings and dividends. The iSTOXX® Europe Value Factor Market Neutral Index, meanwhile, posted a ninth consecutive monthly retreat. The iSTOXX Europe Factor Market Neutral Indices are designed to offer ex

— Monthly Index News October 2019 (PDF), p. 7

Y

Yield Factor

▰ 1

A factor that ranks securities by their total cash return to shareholders, encompassing dividend yield, buyback yield, and — in some specifications — debt reduction yield. STOXX yield-oriented indices select or overweight constituents offering the highest sustainable shareholder yield, often combining the raw yield signal with quality screens to avoid “yield traps” (high-yielding stocks on the verge of cutting dividends).

Note

the yield factor targets stocks that return the most cash to investors through dividends and share repurchases. It is related to the carry factor but broader — carry focuses on dividend income, while yield also credits companies that buy back their own shares.

Shareholder Yield_{i} = \frac{D _{i} + Net Buybacks _{i}}{P _{i}}

where $D_{i}$ is dividends per share, Net Buybacks is repurchases minus issuance, and $P_{i}$ is the share price.

Related terms

Carry Factor, Value Factor, Quality Factor

Source excerpts (1)

Negative active exposures include those to the Dividend Yield, Exchange Rate Sensitivity and Earnings Yield factors. Figure 8: Active style-factor exposures Conclusion The STOXX Global Artificial Intelligence index helps investors track a specific thematic segment

— The AI revolution is taking place now – a look inside the STOXX Global Artifi…

Methodology Disclaimer

The definitions, formulas, and descriptions above are synthesized from publicly available STOXX and Qontigo methodology guides and research. For authoritative and up-to-date specifications, always consult the official rulebook for each specific index at stoxx.com.

Explorer

03 - Smart Beta & Factors

Smart Beta & Factors — ISS & STOXX Glossary

A

Accruals

Active Industry Constraint

Alpha Signal

C

Capping Constraint

Capital Asset Pricing Model (CAPM)

Carry Factor

D

Defensive Factor

Dilution

E

Efficient Frontier

Earnings Announcement Drift

Earnings Momentum

Equal Risk Contribution

F

Factor (Definition)

Factor Diversification

Factor Investing

Factor Premium

Factor Rotation

Factor Tilt

Factor-Based Index

G

Growth Factor

I

Industry Neutral

L

Low Risk Factor

Low Volatility Factor

M

Minimum Variance

Momentum Factor

Multi-Factor

Multifactor Signal

N

Net Operating Assets (Changes in)

P

Price Momentum

Q

Quality Factor

R

Risk Budget

Risk Parity

Risk Premia

S

Size Factor

Smart Beta

Tracking Error Budget

Turnover Constraint

V

Value Factor

Y

Yield Factor

Graph View

Table of Contents

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