Extraction of market expectations from risk-neutral density

The purpose of this paper is to investigate which of the proposed parametric models for extracting risk-neutral density; among Black-Scholes Merton, mixture of two log-normals and generalized beta; give the best fit. The model that fits sample data better is used to describe different characteris...

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Main Authors: Josip Arnerić, Zdravka Aljinović, Tea Poklepović
Format: Article
Language:deu
Published: Faculty of Economics University of Rijeka 2015-12-01
Series:Zbornik radova Ekonomskog fakulteta u Rijeci : časopis za ekonomsku teoriju i praksu
Subjects:
Online Access:http://www.efri.uniri.hr/sites/efri.uniri.hr/files/cr-collections/2/03-arneric-poklepovic-aljinovic-2015-2-1452518018.pdf
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author Josip Arnerić
Zdravka Aljinović
Tea Poklepović
author_facet Josip Arnerić
Zdravka Aljinović
Tea Poklepović
author_sort Josip Arnerić
collection DOAJ
description The purpose of this paper is to investigate which of the proposed parametric models for extracting risk-neutral density; among Black-Scholes Merton, mixture of two log-normals and generalized beta; give the best fit. The model that fits sample data better is used to describe different characteristics (moments) of the ex ante probability distribution. The empirical findings indicate that no matter which parametric model is used, the best fit is always obtained for short maturity horizon, but when comparing models in short-run, the mixture of two log-normals gives statistically significant smaller MSE. According to the pair-wise comparison results, the basic conclusion is that the mixture of two log-normals is superior to the other parametric models and has proven to be very flexible in capturing commonly observed characteristics of the underlying financial assets, such as asymmetries and “fat-tails” in implied probability distribution.
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spelling doaj.art-bbb293dce93c434cac3256ec78a5a83f2022-12-22T00:00:40ZdeuFaculty of Economics University of RijekaZbornik radova Ekonomskog fakulteta u Rijeci : časopis za ekonomsku teoriju i praksu1331-80042015-12-0133223525610.18045/zbefri.2015.2.235Extraction of market expectations from risk-neutral densityJosip Arnerić0Zdravka Aljinović1Tea Poklepović2Assistant Professor, University of Zagreb, Faculty of Economics and Business, CroatiaFull Professor, University of Split, Faculty of Economics, Cvite Fiskovića 5, Split,CroatiaPhD student, University of Split, Faculty of Economics, Cvite Fiskovića 5, 21000 Split, CroatiaThe purpose of this paper is to investigate which of the proposed parametric models for extracting risk-neutral density; among Black-Scholes Merton, mixture of two log-normals and generalized beta; give the best fit. The model that fits sample data better is used to describe different characteristics (moments) of the ex ante probability distribution. The empirical findings indicate that no matter which parametric model is used, the best fit is always obtained for short maturity horizon, but when comparing models in short-run, the mixture of two log-normals gives statistically significant smaller MSE. According to the pair-wise comparison results, the basic conclusion is that the mixture of two log-normals is superior to the other parametric models and has proven to be very flexible in capturing commonly observed characteristics of the underlying financial assets, such as asymmetries and “fat-tails” in implied probability distribution.http://www.efri.uniri.hr/sites/efri.uniri.hr/files/cr-collections/2/03-arneric-poklepovic-aljinovic-2015-2-1452518018.pdfmarket expectationrisk-neutral densitymixture of log-normals
spellingShingle Josip Arnerić
Zdravka Aljinović
Tea Poklepović
Extraction of market expectations from risk-neutral density
Zbornik radova Ekonomskog fakulteta u Rijeci : časopis za ekonomsku teoriju i praksu
market expectation
risk-neutral density
mixture of log-normals
title Extraction of market expectations from risk-neutral density
title_full Extraction of market expectations from risk-neutral density
title_fullStr Extraction of market expectations from risk-neutral density
title_full_unstemmed Extraction of market expectations from risk-neutral density
title_short Extraction of market expectations from risk-neutral density
title_sort extraction of market expectations from risk neutral density
topic market expectation
risk-neutral density
mixture of log-normals
url http://www.efri.uniri.hr/sites/efri.uniri.hr/files/cr-collections/2/03-arneric-poklepovic-aljinovic-2015-2-1452518018.pdf
work_keys_str_mv AT josiparneric extractionofmarketexpectationsfromriskneutraldensity
AT zdravkaaljinovic extractionofmarketexpectationsfromriskneutraldensity
AT teapoklepovic extractionofmarketexpectationsfromriskneutraldensity