debt convexity analytic

The second derivative of a security's price with respect to its yield, divided by the security's price. A security exhibits positive convexity when its price rises more for a downward move in its yield than its price declines for an equal upward move in its yield. Further notes: A measure of the change in price for a given change in Modified Duration. This always (necessarily) refers to Modified Duration. This is used as another risk measurement. Numerator is always (a) duration - either MacCaulays or Modified. Always rate of change of (one of the) Duration against some other parameter. The other paramater can be characterised as a Yield (it may be the Price, but that has a relationship to the Yield in any case). REVIEW: Inconsistency in the above - is it always necessarily Modified Duration that is referred to, or "any" Duration measure (Macaulays and.or Modified)? notes 9 Dec A measure of the sensitivity of the price with reference to interest rates. This is normally determined with reference to maturity, but since there are different maturity dates, this figure gives an estimate of the equitvalent if you had a homogenous portfolio, i.e. this is an estimate based on a pure equivalent, homogenous portfolio. Convexity of instrument versus portfolio. Sees instrument in terms of the set of cashflows. The term Convexity can be applied either to a bond or to a portfolio. More notes: When you get Convexit in MD, it will tell you what Duration it is refrfering to, along with Redemption Date (logically). Also if there is Option Adjusted Yield, there is a third set of analytics. What are they? i.e. OA Convexity, Duration Yield and the rest. Conclusions: Agreed to revisit this in OTC.

via FIBO — MIT

Related terms

parent dated collection constituent

Source	License	Entries	Why we use it
FIBO	MIT	3,330 classes	Canonical financial ontology from the EDM Council — banking, securities, debt, corporate structure.
Lexicon extension (`lex:` / `dr:`)	MIT	39 classes	Curated M&A terms (Quality of Earnings, SDE, LOI, DSCR, BBS grade, Earnest Money, Purchase Agreement, Working Capital, Customer Concentration) plus Person / Dossier / Evidence / Collector (PROV-O subclasses) that FIBO doesn't cover.
XBRL US-GAAP 2026	FAF royalty-free	17,182 elements (14,760 with documentation)	Every element FASB ships in its 2026 financial-reporting taxonomy — line-item names, abstract groupings, axes, members, types — pulled from `xbrl.fasb.org/us-gaap/2026/us-gaap-2026.zip`. Standard labels become pref labels; documentation linkbase prose becomes definitions; terse / total / period-start / period-end labels join as alt labels.
Plaid PFC Taxonomy	Published spec	120 categories (16 primary + 104 detail)	Plaid's transaction-categorization taxonomy. `INCOME_WAGES` survives as alt-label so downstream Plaid integrations can lookup canonically; pref label is the humanized leaf ("Wages"); detail rows are `rdfs:subClassOf` their primary.
GnuCash chart of accounts	MIT (paraphrased)	100 accounts (13 with definitions)	Account names + types from the GnuCash US chart templates (common + business). Names + type enums treated as facts; the GPL-tainted `act:description` strings are dropped and replaced with hand-paraphrased one-line definitions for ~30 well-known accounts (Cash, Accounts Receivable, Cost of Goods Sold, Depreciation, Retained Earnings, etc.) at `data/coa_definitions.jsonl`.
Wikidata — finance classes	CC0 1.0	752 classes	Pulled via SPARQL from `wdt:P279*` under `wd:Q43015` (finance) + `wd:Q650241` (financial institution). CC0 — no attribution burden.
schema.org	CC-BY-SA 3.0	1,007 classes	General business concepts (Organization, Product, LocalBusiness, Offer) — used across the open web, matches common consumer vocabulary.
NAICS 2022	US public domain	2,122 codes	The full Census NAICS hierarchy, sector through 6-digit industry — same codes brokers see on Schedule C. Each code links `rdfs:subClassOf` the level above; the numeric code doubles as an alt-label so `541211` matches "Offices of Certified Public Accountants".
Tryton account_us	GPLv3+ (paraphrased)	1,201 entries	The most US-GAAP-native account hierarchy in the OSS ecosystem — balance-sheet vs income-statement classification baked into account types. Names + types ingested as facts; no GPL-tainted prose mirrored.
BEA Glossary	US public domain	200 entries	Bureau of Economic Analysis terminology — national-accounts vocabulary (GDP components, NIPA structure, BEA-specific aggregates). Federal complement to BLS labor-market vocabulary.
FRED Categories	US public domain	669 categories	St. Louis Fed FRED API category taxonomy, top 3 levels — 8 top-level economic domains (Money/Banking/Finance, National Accounts, Prices, etc.) and their sub-categories down to specific measurement areas. Each category links `rdfs:subClassOf` its parent.
ERPNext charts	GPLv3 (paraphrased)	95 entries	Adds `account_number` ranges (1xxx Asset, 2xxx Liability, 4xxx Income, 5xxx Expense) and `account_category` labels that GnuCash and Tryton don't expose explicitly.
OFX 2.x TRNTYPE	Spec (facts)	17 enum values	The bank-statement transaction-type enumeration every U.S. bank-feed downloader uses — CREDIT / DEBIT / INT / DIV / FEE / DEP / ATM / POS / XFER / CHECK / PAYMENT / DIRECTDEP / DIRECTDEBIT / etc. Underneath Plaid's consumer categorization layer.
LKIF-Core	CC-BY 4.0	255 classes	Core legal concepts (roles, norms, actions, processes) from the EU ESTRELLA project — the most-cited open legal ontology.
U.S. Code Title 26 (Internal Revenue Code)	US public domain	1,143 definitions	Explicit "the term X means Y" definitions extracted from the USLM XML feed at uscode.house.gov — §7701 General Definitions plus 1,000+ scattered in-line definitions. Source-linked to Cornell LII.
IRS Publications 334 / 463 / 583	US public domain	21 definitions (hand-triaged from 75 candidates)	SMB-relevant terms inline-defined in the published HTML of IRS Pubs (Trade or business, Sole proprietor, Cash method, Accrual method, Section 179 deduction, Per diem rates, etc.). Triage rules + re-run instructions at `data/irs_triage_notes.md`.
W3C PROV-O	W3C Document License	49 classes (parents only)	Provenance ontology — used as the parent class hierarchy for the dealright-ext Person / Dossier / Evidence / Collector classes. No own page bucket; rendered as parent classes inside dealright-ext term pages.
Wikipedia — supplements	CC-BY-SA 3.0	586 hits	Encyclopedia-length summaries via the REST `/page/summary/` endpoint for richer context on complex concepts (CDOs, derivatives, etc.).
Wikidata — supplements	CC0 1.0	724 hits	One-line structured descriptions attached as an additional block on FIBO pages.
Wiktionary	CC-BY-SA 4.0	322 hits	Plain-language dictionary senses, appended as a supplement where FIBO's formal definition is too terse.
Investor.gov · CFTC · Federal Reserve	US public domain	1,205 entries (82 hits)	Authoritative US regulatory + banking glossaries scraped once into JSONL. Public domain — zero licensing friction.