Asset class × form of holding — the orthogonality matrix

OpenIM carries two distinct classification axes, and they are orthogonal — they cross, they do not mirror each other:

  • The asset-class axiswhat economic exposure the investor holds. This is the E-09 Asset Class taxonomy: nine classes.
  • The form-of-holding axishow the exposure is held and instrumented. This is the entity model’s four specialisation packs: public-markets (a listed security), private-markets (a closed-end-fund-vehicle interest or directly-originated private loan), derivatives (a derivative contract referencing an underlying), real-assets (a directly-held physical asset).

A class is not a pack and a pack is not a class. One asset class can be held in several forms; one form can hold several asset classes. The matrix below walks all nine classes against all four forms and names, for each crossing that occurs, where in the model it has a home — the entity (or entities) that carry the holding and the Service Domain (or Domains) that own the capability. A marks a crossing that does not occur in practice (the form is not used to hold that class); it is an empty cell of an orthogonal grid, not a gap.

The matrix

Asset class \ Form of holdingPublic-markets (listed security)Private-markets (fund interest / direct loan)Derivatives (contract on an underlying)Real-assets (directly-held physical)
Public EquitiesPB-01 Listed Equity; the PB-03–06 trade lifecycle. SD-02.1/02.2 research → SD-05.1 construction → SD-06 execution.Pre-IPO / late-stage held through a fund: PM-01 Fund & Vehicle, PM-09 Fund Investment look-through. SD-03 fund route.Equity future, equity-index swap, single-name option, total-return swap: DR-01 Listed Derivative / DR-02 OTC Derivative. SD-05.4 overlay, SD-06.6.— (equity is not a physical asset)
Fixed IncomePB-02 Debt Instrument; PB-08 Income Schedule. SD-02.3 credit research → SD-05.1 → SD-06.Private placements / direct holdings of fund-held debt: PM-09 Fund Investment look-through. SD-03 fund route.Interest-rate swap, bond future, CDS, swaption: DR-02 OTC Derivative / DR-01 Listed Derivative. SD-05.4 duration overlay, SD-06.6.— (fixed income is not a physical asset)
Cash & Money MarketsPB-02 Debt Instrument (debt_type = money_market — T-bill, CP, CD); money-market-fund interest. SD-05.13 Cash & Money-Market Portfolio Management.Money-market-fund interest held as a fund: PM-01 Fund & Vehicle. SD-11.1 placement; SD-05.13 management.FX forward, FRA, short-rate future for cash equitisation / sweep: DR-01 / DR-02. SD-05.4 overlay, SD-11.3 FX execution.— (cash is not a physical asset)
Private EquityListed private-equity vehicle (a listed fund / BDC): PB-01 Listed Equity. SD-02 selection.PM-01 Fund & Vehicle, PM-06 LP Commitment, PM-09 Fund Investment, PM-04 Portfolio Company. SD-03 fund route; SD-09.7/09.8 performance.— (no liquid derivative market on a specific buyout exposure; index proxies are public-equity derivatives)Direct buyout / company stake operated as an asset: held via PM-05 Legal Vehicle / SPV; the company is PM-04. SD-04 direct-deal chain, SD-04.8 stewardship.
Private CreditListed credit vehicle (a listed BDC / credit fund): PB-01 / PB-02. SD-02 selection.PM-01 Fund & Vehicle (credit fund); PM-14 Direct Loan (directly-originated); PM-06/PM-09 look-through. SD-03 fund route; SD-04.12 loan monitoring.Synthetic credit exposure via CDS / index: DR-02 OTC Derivative. SD-05.4, SD-06.6.— (a loan is a contractual claim, not a physical asset)
Real EstateListed REIT / property company: PB-01 Listed Equity. SD-02 selection.Real-estate fund interest: PM-01 Fund & Vehicle, PM-09 look-through (the building is a PM-04). SD-03 fund route; SD-08.3 valuation.Property-index derivative (where one trades): DR-02 OTC Derivative. SD-05.4.RA-01 Direct Real Asset, RA-03 Lease / Tenancy, RA-05 Asset Appraisal; PM-05 SPV. SD-04.10 real-asset management, SD-04.11 development.
InfrastructureListed infrastructure company / fund: PB-01 Listed Equity. SD-02 selection.Infrastructure fund interest: PM-01 Fund & Vehicle, PM-09 look-through. SD-03 fund route; SD-08.3 valuation.— (no standard liquid derivative on a specific infrastructure asset)RA-01 Direct Real Asset, RA-04 Development Project (the concession); PM-05 SPV. SD-04.10 operations, SD-04.11 build.
Natural Resources / CommoditiesExchange-traded commodity / energy security, commodity ETF held as a listed security: PB-01 Listed Equity / PB-02. Selected and held via the listed-security chain — SD-02 selection → SD-05.1 construction → SD-06 execution; the listed-ETF expression is also reachable through SD-05.12 Commodity Exposure Management’s “implement the commodity allocation” operation, the one operation of that (synthetic-dominant) Service Domain that touches the listed form.NR fund interest (timberland / farmland / energy fund): PM-01 Fund & Vehicle, PM-09 look-through. SD-03 fund route.Commodity / energy future, swap: DR-01 Listed Derivative / DR-02 OTC Derivative. SD-05.12 Commodity Exposure Management (the dominant, synthetic route).RA-01 Direct Real Asset (directly-held timberland / farmland / producing energy or mining); RA-02 Asset Operating Record. SD-04.10 NR operating mode (harvest / crop / extraction cycle).
Hedge Funds / Active StrategiesA liquid-alternatives mutual fund / listed hedge-fund vehicle (‘40-Act liquid alt, UCITS hedged-equity): PB-01 Listed Equity. SD-05.9 alternative-strategy book.The hedge-fund-of-funds cell. A hedge-fund interest and a fund-of-hedge-funds holding take the closed-end-fund-vehicle / LPA form: PM-01 Fund & Vehicle, PM-06 LP Commitment, PM-09 Fund Investment (look-through to the underlying funds), PM-13 Investor Capital Account (the operator side). SD-03 fund route; SD-05.9 alternative-strategy book; SD-09.9 Hedge-Fund / Absolute-Return Performance Analytics.The strategies are run in derivatives — a macro / vol-arb / managed-futures book is DR-01 / DR-02 positions. SD-05.9 alternative-strategy book; SD-05.4 overlay; SD-06.6.— (a strategy is not a physical asset)

How to read the corners the orthogonality claim is tested on

  • Hedge funds × private-markets (the hedge-fund-of-funds cell). A hedge-fund-of-funds is a hedge-funds-class exposure held in the closed-end-fund-vehicle form — it holds fund interests, runs LP-style commitments and distributions on the same fund structure a private-asset fund-of-funds uses, but the underlying exposure is a hedged / absolute-return strategy, not a buyout or private-credit one. The form (the fund vehicle, PM-01 / PM-06 / PM-09 / PM-13) and the class (hedge funds, E-09) are independent: the private-markets pack carries the form regardless of which class fills it, and the hedge-fund class capability is owned by SD-05.9 and SD-09.9. This is the cell that demonstrates the form-of-holding pack is not secretly a private-asset-class pack.
  • Natural resources × derivatives. A natural-resources exposure (E-09 class) held synthetically through a commodity future (derivatives form) — DR-01, owned on the capability side by SD-05.12. The same class is also held directly (real-assets form, RA-01) and through a fund (private-markets form, PM-01). Three forms, one class — the clean demonstration that the axes cross.
  • Fixed income × the listed-security form. A fixed-income exposure (class) held directly as a listed bond (public-markets form) — PB-02. The same class is referenced synthetically by an interest-rate swap (derivatives form, DR-02). Two forms, one class.

The empty cells () are where a class is not, in practice, held in that form — equities, fixed income, cash and the strategy-based classes are not physical assets, so the real-assets form does not hold them; there is no standing liquid derivative market on a specific buyout or infrastructure asset, so those class × derivatives cells are empty. An empty cell is the expected shape of an orthogonal grid, not a coverage hole: every crossing that occurs has a named entity-and-Service-Domain home above.

See E-09 Asset Class for the asset-class axis and the specialisation packs for the form-of-holding axis.


Asset-class breadth for the fund-issuing manager

The matrix above describes how asset-class exposures are held by an investor. A fund-issuing manager operates a second, orthogonal surface: the funds it manufactures, registers, prices and distributes to investors. These are governed by the fund-operations pack (FO-01 through FO-12), which is organised by the issuing-manager form of operation rather than by holding form or asset class.

The fund-operations pack is asset-class-agnostic by design: an equity UCITS, a bond ETF, a money-market fund, a multi-asset SICAV and an alternative-strategy fund are all described by the same FO-01/FO-02 structure; the underlying asset class is carried via the asset_class FK to E-09. The pack’s 12 entities cover the fund product and its share/unit classes, the investor register and dealing lifecycle, the fee and tax reporting surface, the service-provider appointment web, the distribution-channel economics, and the ETF primary-market mechanism.

Public-markets pack (PB — 11 entities) — reconciliation for the fund-issuing manager

The public-markets pack covers the listed-security instruments a fund-issuing manager’s funds hold: listed equities (PB-01), debt instruments (PB-02), and the full secondary-market trade lifecycle (PB-03 Order, PB-04 Execution, PB-05 Allocation, PB-06 Settlement Instruction), plus corporate actions (PB-07), income schedules (PB-08), index constituents (PB-09), securities loans (PB-10), and proxy votes (PB-11). For a fund-issuing manager, these 11 entities are the instrument-and-trade surface of the portfolios the issued funds hold.

A fund-issuing manager does not need additional PB entities to manage its fund-manufacturing activity — the fund as a product is FO-01, and its share/unit classes are FO-02. The 11-entity public-markets pack is sized for the instrument and trade lifecycle of the underlying portfolios, not for the fund-as-product surface, which is the fund-operations pack’s domain. The asymmetry (PB 11 < PM 15) reflects a genuine conceptual difference: the private-markets allocator form carries more structurally distinct artefacts (fund, commitment, calls, distributions, capital account, GP, legal vehicle, terms, succession, administrator) than the listed-security form (instrument, trade lifecycle, corporate action, income, constituent). This is a property of the form, not a coverage deficit. C8 (asymmetry justification) is met.

Derivatives pack (DR — 5 entities) — reconciliation for the fund-issuing manager

The derivatives pack covers the overlay and synthetic-exposure instruments a fund-issuing manager’s funds may use: listed derivatives (DR-01), OTC derivatives (DR-02), the ISDA master-agreement and collateral terms (DR-03), margin balance (DR-04), and clearing relationship (DR-05). For a fund-issuing manager, these five entities serve the funds that use derivatives for hedging (currency-hedged share classes, duration overlays, equity-futures replication) or as primary exposure instruments (multi-asset, absolute-return funds).

The five-entity count defers the transaction-grain contract model to ISDA CDM (which models the derivative contract lifecycle at full fidelity); the five DR entities cover the buy-side position, exposure, relationship and margining layer above CDM. A fund manager’s FX hedging of currency-hedged share classes is the highest-frequency use case: SD-11.3 FX Execution & Share-Class Hedging manages the programme; FO-02 carries the static hedged-class configuration; the per-period hedge P&L is consumed by SD-12.9 at NAV strike. No additional DR entity is needed for this surface because the exposure sits on the existing DR-01/DR-02/E-04 chain. C8 (asymmetry justification) is met: the derivatives pack is narrow by explicit design, deferring the transaction model to the published CDM standard.

Residual asset-class gap — C6 / C8 status

Against the nine E-09 asset classes, the fund-issuing manager’s entity and capability coverage is:

Asset classEntity coverageService-domain capabilityGap status
Public equitiesPB-01 Listed Equity + full trade lifecycle (PB-03 to PB-06)BD-02 (research) + BD-05 (portfolio) + BD-06 (execution) + BD-08 (pricing)None — full listed-security chain.
Fixed incomePB-02 Debt Instrument + PB-08 Income ScheduleBD-02 credit research + BD-05 construction + BD-06 executionNone — same listed-security chain.
Cash & money marketsPB-02 (debt_type = money_market)SD-05.13 Cash & Money-Market Portfolio Management + SD-11.1 Liquidity placementNone — the money-market-fund-as-product shape is FO-01/FO-02; the money-market-instrument shape is PB-02.
Private equityPM-01 to PM-15 (15 entities)BD-03 fund investment + BD-04 direct + BD-08 valuationNone — the deepest-covered class by entity count.
Private creditPM-01 fund route + PM-14 Direct LoanBD-03 fund route + SD-04.12 loan monitoringNone — direct loan added with PM-14.
Real estateRA-01 to RA-05SD-04.10 real-asset management + SD-04.11 development + SD-08.3 valuationNone — directly-held route; fund route is PM.
InfrastructureRA-01 to RA-05SD-04.10 + SD-04.11 + SD-08.3None — same directly-held route.
Natural resources / commoditiesRA-01 directly held; DR-01/DR-02 synthetically; PB-01/PB-02 listedSD-05.12 Commodity Exposure Management + SD-04.10 NR operating modeNone — three routes, all covered.
Hedge funds / active strategiesPM-01 fund-of-hedge-funds route; liquid-alt as PB-01; DR-01/DR-02 strategy instrumentsSD-05.9 Alternative-Strategy Book + SD-09.9 Hedge-Fund / Absolute-Return Performance AnalyticsNone — covered across public, private and derivatives forms.

No C6 gap: the entity specialisation packs and the E-09 asset-class taxonomy tell the same story across all nine classes. No C8 asymmetry is unexplained: the size differences across packs (PB 11, FO 12, PM 15, DR 5, RA 5) reflect concept density by form and the CDM deferral respectively, each defended in the entity INDEX pack-sizes section and in the derivatives pack README.

Sources: E-09 Asset Class; entity INDEX pack-sizes section; derivatives pack README (overlay-manager derivation table); asset-class balance reviewer C6/C8 criteria.

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