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.