Equilibrium Short-Rate Models vs No-Arbitrage Models: Literature Review and Computational Examples

In this paper equilibrium short-rate models are compared against no-arbitrage short-rate models. This article is composed of the introduction to this literature and a review, followed by numerical examples of one-factor short-rate models; the Cox-Ingersoll-Ross (CIR) model and the Vasicek model. No-...

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Main Authors: Dushko Josheski, Mico Apostolov
Format: Article
Language:English
Published: Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu 2021-01-01
Series:Ekonometria
Online Access:https://journals.ue.wroc.pl/eada/article/view/949
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author Dushko Josheski
Mico Apostolov
author_facet Dushko Josheski
Mico Apostolov
author_sort Dushko Josheski
collection DOAJ
description In this paper equilibrium short-rate models are compared against no-arbitrage short-rate models. This article is composed of the introduction to this literature and a review, followed by numerical examples of one-factor short-rate models; the Cox-Ingersoll-Ross (CIR) model and the Vasicek model. No-arbitrage models were presented through the Hull-White (HW) model, the Binomial lattice model for bond pricing and interest rate modelling, the Black-Karasinski (BK) model, and the Heath-Jarrow-Morton (HJM) model. The results prove that no single interest rate model exists that can be used for all purposes. These models were compared in terms of volatility, mean reversion process and convergence. The end results confirm the dependence of volatility on the level rate as a determinant of the predictive success of these models. (original abstract)
format Article
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institution OA Journals
issn 2449-9994
language English
publishDate 2021-01-01
publisher Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
record_format Article
series Ekonometria
spelling doaj-art-5ebbd1949ed24bff8419167e18f78e212025-08-20T02:16:39ZengWydawnictwo Uniwersytetu Ekonomicznego we WrocławiuEkonometria2449-99942021-01-01nr 3950Equilibrium Short-Rate Models vs No-Arbitrage Models: Literature Review and Computational ExamplesDushko Josheski0Mico Apostolov1Business Administration, University Goce Delchev, Stip, MacedoniaBusiness Administration, University Goce Delchev, Stip, MacedoniaIn this paper equilibrium short-rate models are compared against no-arbitrage short-rate models. This article is composed of the introduction to this literature and a review, followed by numerical examples of one-factor short-rate models; the Cox-Ingersoll-Ross (CIR) model and the Vasicek model. No-arbitrage models were presented through the Hull-White (HW) model, the Binomial lattice model for bond pricing and interest rate modelling, the Black-Karasinski (BK) model, and the Heath-Jarrow-Morton (HJM) model. The results prove that no single interest rate model exists that can be used for all purposes. These models were compared in terms of volatility, mean reversion process and convergence. The end results confirm the dependence of volatility on the level rate as a determinant of the predictive success of these models. (original abstract)https://journals.ue.wroc.pl/eada/article/view/949
spellingShingle Dushko Josheski
Mico Apostolov
Equilibrium Short-Rate Models vs No-Arbitrage Models: Literature Review and Computational Examples
Ekonometria
title Equilibrium Short-Rate Models vs No-Arbitrage Models: Literature Review and Computational Examples
title_full Equilibrium Short-Rate Models vs No-Arbitrage Models: Literature Review and Computational Examples
title_fullStr Equilibrium Short-Rate Models vs No-Arbitrage Models: Literature Review and Computational Examples
title_full_unstemmed Equilibrium Short-Rate Models vs No-Arbitrage Models: Literature Review and Computational Examples
title_short Equilibrium Short-Rate Models vs No-Arbitrage Models: Literature Review and Computational Examples
title_sort equilibrium short rate models vs no arbitrage models literature review and computational examples
url https://journals.ue.wroc.pl/eada/article/view/949
work_keys_str_mv AT dushkojosheski equilibriumshortratemodelsvsnoarbitragemodelsliteraturereviewandcomputationalexamples
AT micoapostolov equilibriumshortratemodelsvsnoarbitragemodelsliteraturereviewandcomputationalexamples