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Record W3084495602 · doi:10.1108/jdqs-04-2011-b0003

Monte Carlo Greeks Using the WKB Approximation

2011· article· en· W3084495602 on OpenAlexaff
Suk Joon Byun, Jun Sik Kim

Bibliographic record

VenueJournal of Derivatives and Quantitative Studies 선물연구 · 2011
Typearticle
Languageen
FieldEconomics, Econometrics and Finance
TopicFinancial Risk and Volatility Modeling
Canadian institutionsKootenay Association for Science & Technology
Fundersnot available
KeywordsEstimatorWKB approximationMathematicsLog-normal distributionMonte Carlo methodApplied mathematicsStatisticsPhysics

Abstract

fetched live from OpenAlex

In Kampen et al.(2008), Monte Carlo estimators obtained by the WKB (Wentzel, Brillouin, Kramers) approximation had better results than Monte Carlo estimators obtained by the lognormal approximation for European swaptions and Bermudan swaptions. We compare the WKB estimators with the lognormal estimators and the pathwise derivative estimators for ratchet caplets and sticky caplets with various maturities. The results show that the WKB estimators have similar performance compared with the lognormal estimators and the pathwise derivative estimators for ratchet caplets. However, the WKB estimators show worse performance than both the lognormal estimators and the pathwise derivative estimators for sticky caplets. These results indicate that the WKB estimators would be hard to substitute for the lognormal estimators for various derivatives.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.012
metaresearch head score (Gemma)0.062
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: Simulation or modeling
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.012
Threshold uncertainty score0.066

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0120.062
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0020.002
Bibliometrics0.0030.003
Science and technology studies0.0010.003
Scholarly communication0.0030.005
Open science0.0020.002
Research integrity0.0020.003
Insufficient payload (model declined to judge)0.0100.002

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.309
GPT teacher head0.330
Teacher spread0.021 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designSimulation or modeling
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2011
Admission routes1
Has abstractyes

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