Triple

T11961591
Position Surface form Disambiguated ID Type / Status
Subject Greeks (option sensitivities) E284680 entity
Predicate relatedToModel P97305 FINISHED
Object binomial options pricing model
The binomial options pricing model is a discrete-time valuation method that models possible future movements in an underlying asset’s price to determine the fair value of options and their risk sensitivities.
E956286 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: binomial options pricing model | Statement: [Greeks (option sensitivities), relatedToModel, binomial options pricing model]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: binomial options pricing model
Context triple: [Greeks (option sensitivities), relatedToModel, binomial options pricing model]
  • A. Black–Scholes model
    The Black–Scholes model is a fundamental mathematical framework in financial economics for pricing options and other derivatives by modeling asset prices as stochastic processes.
  • B. Bachelier
    Bachelier was a prominent 19th-century French publishing house known for issuing influential scientific and philosophical works.
  • C. Itô’s lemma
    Itô’s lemma is a fundamental result in stochastic calculus that generalizes the chain rule to functions of stochastic processes, especially Brownian motion.
  • D. binomial theorem
    The binomial theorem is a fundamental algebraic formula that provides a systematic way to expand powers of binomial expressions, playing a key role in combinatorics and mathematical analysis.
  • E. Greeks (option sensitivities)
    Greeks (option sensitivities) are quantitative measures that describe how the price of an option responds to changes in underlying variables such as the asset price, volatility, time, and interest rates.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: binomial options pricing model
Triple: [Greeks (option sensitivities), relatedToModel, binomial options pricing model]
Generated description
The binomial options pricing model is a discrete-time valuation method that models possible future movements in an underlying asset’s price to determine the fair value of options and their risk sensitivities.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: binomial options pricing model
Target entity description: The binomial options pricing model is a discrete-time valuation method that models possible future movements in an underlying asset’s price to determine the fair value of options and their risk sensitivities.
  • A. Black–Scholes model
    The Black–Scholes model is a fundamental mathematical framework in financial economics for pricing options and other derivatives by modeling asset prices as stochastic processes.
  • B. Bachelier
    Bachelier was a prominent 19th-century French publishing house known for issuing influential scientific and philosophical works.
  • C. Itô’s lemma
    Itô’s lemma is a fundamental result in stochastic calculus that generalizes the chain rule to functions of stochastic processes, especially Brownian motion.
  • D. binomial theorem
    The binomial theorem is a fundamental algebraic formula that provides a systematic way to expand powers of binomial expressions, playing a key role in combinatorics and mathematical analysis.
  • E. Greeks (option sensitivities)
    Greeks (option sensitivities) are quantitative measures that describe how the price of an option responds to changes in underlying variables such as the asset price, volatility, time, and interest rates.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69d6ab2eaeb881909f7914758f859413 completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d9037848f481908276716675464464 completed April 10, 2026, 2:04 p.m.
NED1 Entity disambiguation (via context triple) batch_69f4592fa9a48190a0450e3d0c57c4d3 completed May 1, 2026, 7:41 a.m.
NEDg Description generation batch_69f4645ef63881909b46937f73d637a3 completed May 1, 2026, 8:29 a.m.
NED2 Entity disambiguation (via description) batch_69f465be4db08190882898a17d077019 completed May 1, 2026, 8:35 a.m.
Created at: April 8, 2026, 9:45 p.m.