Nasdaq Index Weight Calculations

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Nasdaq Index WeightCalculations28 May 2020 2021 Nasdaq, Inc. All Rights Reserved.

Nasdaq Index Weight CalculationsCopyright 2021, Nasdaq, Inc. All rights reserved.All content in this document is owned, or licensed, by Nasdaq, Inc. or its affiliates (‘Nasdaq’). Unauthorized use isprohibited without written permission of Nasdaq.While reasonable efforts have been made to ensure that the contents of this document are accurate, the document isprovided strictly “as is”, and no warranties of accuracy are given concerning the contents of the information containedin this document, including any warranty that the document will be kept up to date. Nasdaq reserves the right to changedetails in this document without notice. To the extent permitted by law no liability (including liability to any person byreason of negligence) will be accepted by Nasdaq or its employees for any direct or indirect loss or damage caused byomissions from or inaccuracies in this document.28 May 2020Page 2 / 7

Nasdaq Index Weight CalculationsTable of Contents12328 May 2020Definitions of Common Index Weighting Schemes . 41.1Market capitalization-weighted index . 41.2Free float market capitalization-weighted index . 41.3Equal-weighting . 41.4Modified weighting schemes . 4Nasdaq Standard Index Weight Adjustment Guidelines . 52.1Definitions . 52.2Principles . 62.3Index Share Calculation . 6Disclaimer . 7Page 3 / 7

Nasdaq Index Weight Calculations1Definitions of Common Index Weighting Schemes1.1Market capitalization-weighted indexIndex Security weights are based on securities’ market capitalizations, generally derived by multiplyingeach security’s Last Sale Price (LSP) times its total shares outstanding (TSO). Index Security weights aredetermined by dividing each Index Security’s market capitalization by the aggregate marketcapitalization of all Index Securities.1.2Free float market capitalization-weighted indexIndex Security weights are based on securities’ free float market capitalizations, generally derived bytaking the products of each security’s Last Sale Price (LSP), total shares outstanding (TSO), and a floatfactor equal to the proportion of total shares outstanding available for trading. Index Security weightsare determined by dividing each Index Security’s free float market capitalization by the aggregate freefloat market capitalization of all Index Securities.1.3Equal-weightingIndex weights may be adjusted to achieve equal dollar values across units; this is referred to as an equalweighting scheme and is used by equal-weighted indexes. Some indexes employ equal-weightingschemes to produce their final index weights; others employ equal-weighting schemes during one ormore weight adjustment stages as inputs for further adjustment.1.4Modified weighting schemesModified weight indexes are those (1) whose security weights are dependent on weighting by anotherdata set (such as proprietary scoring) or (2) that include adjustments to Index Security weights based onupper or lower bounds of eligible index weights. Many such modified weighting schemes exist.28 May 2020Page 4 / 7

Nasdaq Index Weight Calculations2Nasdaq Standard Index Weight Adjustment GuidelinesEvery modified weight index undergoes a weight adjustment procedure during rebalance. Adjustmentsare generally made according to the following rules and principles.2.1DefinitionsUnit: A security, company, industry, or any other component of an index or distinct group of indexcomponents that is subject to a weight constraint.Initial weight (𝒘𝒏 ): A unit’s index weight prior to adjustments. Each methodology specifies how tocalculate initial security index weights. Adjustments are applied to initial weights to derive final weights.Final weight (𝒘𝒏 ): A unit’s index weight following adjustments. Index weight constraints typically applyto final weights. Adjustments may not result in any final weights of 0%.Weight constraint (𝑪𝒏𝒋 ): A threshold that an index weight may not exceed (weight cap) or fall below(weight floor). Weight constraints may exist both uniformly across all units (𝐶1𝑗 𝐶2𝑗 𝐶𝑁𝑗 ) aswell as non-uniformly (𝐶𝑛𝑗 𝐶𝑚𝑗 ). Non-uniform constraints are commonly based on categorical (e.g.country, sector) and quantitative (e.g. market value rank, cumulative weight) security attributes.Multiple weight constraints (𝑗 1,2, ) may apply to each unit throughout weight adjustment.Capped unit: Any unit for which the product of the relevant adjustment factor and the unit’s initialweight breaches a weight constraint. In such cases the unit’s weight is generally set equal to theconstraint and the unit is considered “capped” (or “capped at” the constraint). An uncapped unit is anyunit whose weight is not set to a weight cap.Capping level: Any unit (e.g. security, issuer, country, sector, index) to which a weight constraint applies.All security weights are constrained at the index level (i.e. they must sum to 100%). Many indexescontain security-level weight constraints (e.g. no security weight may exceed a certain percentage);some constrain the collective weights of securities belonging to specified groups (e.g. sectors,countries).Adjustment factor (𝑨𝑭𝒏 ): The ratio of a unit’s final weight to its initial weight. In general, the set of allfinal weights is selected such that 𝑁𝑛 1 𝐴𝐹𝑛 1 and 𝑣𝑎𝑟(𝐴𝐹1 , , 𝐴𝐹𝑁 ) are minimized given theweight constraints of the particular index and readjustment type, according to the following equations:𝑤𝑛 min(𝐶𝑛1 , , 𝐶𝑛𝐽 , 𝐴𝐹𝑛 𝑤𝑛 )𝑁 𝑤𝑛 𝑛 1𝑁𝑁 min(𝐶𝑛1 , , 𝐶𝑛𝐽 , 𝐴𝐹𝑛 𝑤𝑛 ) 𝑤𝑛𝑛 1𝑛 1𝑁: 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠𝑒𝑐𝑢𝑟𝑖𝑡𝑖𝑒𝑠 𝑖𝑛 𝑎𝑑𝑗𝑢𝑠𝑡𝑚𝑒𝑛𝑡 𝑠𝑡𝑎𝑔𝑒𝑤1 , , 𝑤𝑁 : 𝑠𝑒𝑡 𝑜𝑓 𝑖𝑛𝑖𝑡𝑖𝑎𝑙 𝑠𝑒𝑐𝑢𝑟𝑖𝑡𝑦 𝑤𝑒𝑖𝑔ℎ𝑡𝑠 𝑓𝑜𝑟 𝑠𝑒𝑐𝑢𝑟𝑖𝑡𝑖𝑒𝑠 1, , 𝑁𝑤1 , , 𝑤𝑁 : 𝑠𝑒𝑡 𝑜𝑓 𝑓𝑖𝑛𝑎𝑙 𝑠𝑒𝑐𝑢𝑟𝑖𝑡𝑦 𝑤𝑒𝑖𝑔ℎ𝑡𝑠 𝑓𝑜𝑟 𝑠𝑒𝑐𝑢𝑟𝑖𝑡𝑖𝑒𝑠 1, , 𝑁𝐶1𝑗 , , 𝐶𝑁𝑗 : 𝑠𝑒𝑡 𝑗 𝑜𝑓 𝑤𝑒𝑖𝑔ℎ𝑡 𝑐𝑜𝑛𝑠𝑡𝑟𝑎𝑖𝑛𝑡𝑠 𝑓𝑜𝑟 𝑠𝑒𝑐𝑢𝑟𝑖𝑡𝑖𝑒𝑠 1, , 𝑁𝐴𝐹1 , , 𝐴𝐹𝑁 : 𝑠𝑒𝑡 𝑜𝑓 𝑎𝑑𝑗𝑢𝑠𝑡𝑚𝑒𝑛𝑡 𝑓𝑎𝑐𝑡𝑜𝑟𝑠 𝑓𝑜𝑟 𝑠𝑒𝑐𝑢𝑟𝑖𝑡𝑖𝑒𝑠 1, , 𝑁Note: indexes with weight floors as constraints use the maximum of the constraint and the adjustedweight, rather than the minimum.Capping stage: Some weight adjustment schemes contain multiple stages of capping, generally used toadjust weights of subsets of securities at different times or to adjust weights of one unit level before28 May 2020Page 5 / 7

Nasdaq Index Weight Calculationsthose of another unit level. In such schemes, one stage’s adjusted weights are typically used as the nextstage’s initial weights.2.2PrinciplesThe initial index weights of the Index Securities are generally determined by dividing each IndexSecurity’s (sometimes weighted or otherwise adjusted) market capitalization by the aggregate(sometimes weighted or otherwise adjusted) market capitalization of all Index Securities. Initial indexweights are then adjusted using the definitions and rules above along with the principles below to meetthe constraints specified by each index methodology.In general, within each capping level the ranked order of final Index Security weights is consistent withthe ranked order of the initial weights, although capping in one level may change the order ofcomponents with respect to components in other levels.Weight constraints are applied simultaneously to all specified capping levels. For instance, if a security’sweight breaches a security weight constraint and the collective weights of all securities within it sectorbreach the sector weight constraint, both security and sector are “capped at” their respective weightconstraints. Weight adjustments are not made in a back-and-forth iterative fashion between levels.(Within multi-stage procedures, this principle applies to each individual stage.)References to the weight of a unit other than an Index Security refer to the aggregated weights of allIndex Securities belonging to the group of Index Securities. Issuer weights are the aggregated weights ofthe issuers' Index Securities; industry weights are the aggregated weights of the Index Securities withinan industry; etc.Within a capping level (e.g. each group of Index Securities subject to a group weight constraint), alluncapped Index Securities share an adjustment factor, as this minimizes var(AF 1, ,AF n). All uncappedIndex Securities whose weights are not constrained at a higher level (e.g. belonging to uncapped groups)share an index-wide adjustment factor.2.3Index Share CalculationIndex Shares are generally determined so that the product of an Index Security’s Index Shares and LastSale Price on the rebalance reference date equals its index weight produced by the weight adjustmentprocedure.28 May 2020Page 6 / 7

Nasdaq Index Weight Calculations3DisclaimerNasdaq may, from time to time, exercise reasonable discretion as it deems appropriate in order toensure Index integrity, including but not limited to, quantitative inclusion criteria. Nasdaq may also, dueto special circumstances, if deemed essential, apply discretionary adjustments to ensure and maintainthe high quality of the index construction and calculation. Nasdaq does not guarantee that any Indexaccurately reflects future market performance.Neither Nasdaq, Inc. nor any of its affiliates (collectively "Nasdaq") makes any recommendation to buyor sell any security or any representation about the financial condition of any company. Investors shouldundertake their own due diligence and carefully evaluate companies before investing. The informationcontained herein is provided for informational and educational purposes only, and nothing containedherein should be construed as investment advice, either on behalf of a particular security or an overallinvestment strategy. ADVICE FROM A SECURITIES PROFESSIONAL IS STRONGLY ADVISED. 2020.Nasdaq, Inc. All Rights Reserved.28 May 2020Page 7 / 7

1.3 Equal-weighting Index weights may be adjusted to achieve equal dollar values across units; this is referred to as an equal-weighting scheme and is used by equal-weighted indexes. Some indexes employ equal-weighting schemes to produce their final index weights; others employ equal-weighting schemes during one or

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