bibtype C - Conference Paper (international conference)
ARLID 0507383
utime 20240111141022.3
mtime 20190807235959.9
WOS 000385239500153
title (primary) (eng) Approximate Transition Density Estimation of the Stochastic Cusp Model
specification
page_count 6 s.
media_type E
serial
ARLID cav_un_epca*0462920
ISBN 978-80-7494-296-9
title Proceedings of the 34th International Conference Mathematical Methods in Economics MME 2016
page_num 892-897
publisher
place Liberec
name Technical University
year 2016
editor
name1 Kocourek
name2 A.
keyword multimodal distributions
keyword stochastic cusp model
keyword approximate transition density
author (primary)
ARLID cav_un_auth*0256753
share 100
name1 Voříšek
name2 Jan
institution UTIA-B
full_dept (cz) Ekonometrie
full_dept (eng) Department of Econometrics
department (cz) E
department (eng) E
country CZ
garant K
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
source_type pdf
url http://library.utia.cas.cz/separaty/2019/E/vorisek-0507383.pdf
cas_special
project
ARLID cav_un_auth*0281000
project_id GBP402/12/G097
agency GA ČR
country CZ
abstract (eng) Stochastic cusp model is defined by stochastic differential equation with cubic drift. Its stationary density allows for skewness, different tail shapes and bimodality. There are two stable equilibria in bimodality case and movement from one equilibrium to another is interpreted as a crash. Qualitative properties of the cusp model were employed to model crashes on financial markets, however, practical applications of the model employed the stationary distribution, which does not take into account the serial dependence between observations. Because closed-form solution of the transition density is not known, one has to use approximate technique to estimate transition density. This paper extends approximate maximum likelihood method, which relies on the closed-form expansion of the transition density, to incorporate time-varying parameters of the drift function to be driven by market fundamentals. A measure to predict endogenous crashes of the model is proposed using transition density estimates. Empirical example estimates Iceland Krona depreciation with respect to the British Pound in the year 2001 using differential of interbank interest rates as a market fundamental.
action
ARLID cav_un_auth*0333702
name MME 2016. International Conference Mathematical Methods in Economics /34./
dates 06.09.2016-09.09.2016
place Liberec
country CZ
RIV BB
FORD0 10000
FORD1 10100
FORD2 10103
reportyear 2020
num_of_auth 1
presentation_type PR
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0298681
confidential S
mrcbC86 n.a. Proceedings Paper Economics|Social Sciences Mathematical Methods
arlyear 2016
mrcbU14 SCOPUS
mrcbU24 PUBMED
mrcbU34 000385239500153 WOS
mrcbU56 pdf
mrcbU63 cav_un_epca*0462920 Proceedings of the 34th International Conference Mathematical Methods in Economics MME 2016 978-80-7494-296-9 892 897 Liberec Technical University 2016
mrcbU67 340 Kocourek A.
mrcbU67 340 Vavroušek M.