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Estimating Time Varying Risk Premia in the Term Structure

The Arch-M Model

Bibliographic Data

ID23330699
AuthorsRobert F Engle (0009-0009-9491-1510), David M Lilien, Russell P Robins
Year1987
Volume55
Issue2
Pages391
Publication date1987-03-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueEconometrica (JOURNAL)
Journal identifiersISSN: 0012-9682 • E-ISSN: 1468-0262
PublisherJSTOR (PUBLISHER)
DOI10.2307/1913242
OpenAlexW2044117118
LanguageEN
Citations received75
References cited2

The expectati on of the excess holding yield on a long bond is postulated to depend upon its conditional variance. Engle's ARCH model is extended to allow the conditional variance to be a determinant of the mean and is called ARCH-M. Estimation and infer ence procedures are proposed, and the model is applied to three interest rate data sets. In most cases the ARCH process and the time varying risk premium are highly significant. A collection of LM diagnostic tests reveals the robustness of the model to various specification changes such as alternative volatility or ARCH measures, regime changes, and interest rate formulations. The model explains and interprets the recent econometric failures of the expectations hypothesis of the term structure. Copyright 1987 by The Econometric Society.

Affine term structure model · Arch · Econometrics · Economics · Physics · Risk model · Risk premium · Structural engineering · Term (time) · Yield curve · Credit Risk and Financial Regulations · Engineering · Financial Risk and Volatility Modeling · Mathematics · Stochastic processes and financial applications

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Unique citing works75
Citations per year1,92
Citation span1987 - 2026 (40)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 60
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