On a Class of Alpha-stable Distributions and Its Applications in Estimating Market Risk
Daniel Traian Pele and
Vasile Nicolae Stanciulescu
The Review of Finance and Banking, 2015, vol. 07, issue 2, 007-015
This paper uses a straightforward application of alpha-stable distributions for Romanian Stock Market, showing how a relatively simple implementation in the real world of a complex mathematical tool can be much more reliable in risk management than the classical Gaussian or log-normal distributions. In this paper we use a SAS macro for estimating the parameters of an alpha-stable distribution, using the time-series regression method from Kogon and Williams (1998). Using the Fast Fourier Transform, we estimate the probability density function, the cumulative distribution function and consequently, the VaR (99.5%) and TVaR (99%). For numerical illustration we are using daily logreturns of the BET Index; the measures of market risk, estimated on rolling windows using alpha-stable distributions and Gaussian distribution, are then compared to the actual logreturns of the BET Index. Numerical experiments show that using alpha-stable distributions for estimating VaR and TVaR can be a better alternative for managing the risk of financial assets.
References: View references in EconPapers View complete reference list from CitEc
Citations Track citations by RSS feed
Downloads: (external link)
http://www.rfb.ase.ro/articole/ART1_7_2.pdf Full text (application/pdf)
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:rfb:journl:v:07:y:2015:i:2:p:007-015
Access Statistics for this article
The Review of Finance and Banking is currently edited by Victor Dragota; Bogdan Negrea
More articles in The Review of Finance and Banking from Academia de Studii Economice din Bucuresti, Romania / Facultatea de Finante, Asigurari, Banci si Burse de Valori / Catedra de Finante Strada Mihai Eminescu nr.13-15, sector 1, Bucuresti, Romania. Contact information at EDIRC.
Series data maintained by Tatu Lucian ().