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Record W7162131055 · doi:10.82308/8001

A linear model for the term structure of interest rates /

2000· dissertation· en· W7162131055 on OpenAlexaboutno aff
Monia. Mazigh

Bibliographic record

Venuenot available
Typedissertation
Languageen
FieldEconomics, Econometrics and Finance
TopicStochastic processes and financial applications
Canadian institutionsnot available
Fundersnot available
KeywordsVasicek modelYield curveBond valuationBondInterest rateAffine term structure modelTerm (time)Affine transformationArbitrage

Abstract

fetched live from OpenAlex

The term structure of interest rates shows the relationship between yields of zero-coupon bonds and their maturities. The empirical performance of the single-factor model of the affine term structure models, such as Vasicek (1977) and Cox, Ingersoll, and Ross (1985), has not been entirely satisfactory. The curve fitting methods, and particularly the spline method, used in practice to estimate the term structure are ad hoc and thus subject to arbitrage opportunities. Guo (1998) used the fundamental Partial Differential Equation (PDE) for bond pricing to derive a linear discount function, which is consistent with no-arbitrage. He showed that this is the unique linear solution to the PDE. This solution, the exponential-polynomial model or EP model for short, has n unobserved state factors that drive a stochastic discount process for pricing bonds so as to rule out arbitrage opportunities. In this thesis, we conduct an extensive cross-sectional analysis of the EP model on two different data sets: prices for daily Treasury bills, notes and bonds from the New York Federal Reserve Bank quotation sheets from July 1989 to October 1996, and daily Canadian bills, notes and bonds prices for the time period from June 1992 to May 1995. We estimate the model by applying a minimization criterion. The cross-sectional analysis shows that the EP model is able to describe adequately the term structure of interest rates. For the US data, we find that every term structure from the sampling period can be fully represented by either nine or ten state factors. Eigenvalue analysis indicates that the first three principal components are underlying the term structure movements. We conduct a time series analysis on the three principal components. They are found to be best described by ARMA/GARCH processes. We form two types of GARCH forecasts of the three principal components and test their out-of-sample performance. We conclude that the three principal components are predictable in a statis

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)0.003
metaresearch head score (Gemma)0.004
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.023
Threshold uncertainty score0.076

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0030.004
Meta-epidemiology (narrow)0.0020.001
Meta-epidemiology (broad)0.0010.002
Bibliometrics0.0010.002
Science and technology studies0.0010.001
Scholarly communication0.0030.003
Open science0.0030.001
Research integrity0.0030.004
Insufficient payload (model declined to judge)0.0230.014

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 head0.054
GPT teacher head0.277
Teacher spread0.223 · 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 designTheoretical or conceptual
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
Published2000
Admission routes1
Has abstractyes

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