5
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Asymptotic Estimators for Parameters of Hyperbolic Densities in Finance

Pages 1-16 | Received 01 Sep 2004, Accepted 01 Jun 2013, Published online: 09 Feb 2016
 

Abstract

Quite recently, models in finance have been based on hyperbolic distributions instead of the normal distribution. The corresponding parameters can be calculated only numerically (see Blœsild and S0rensen [8]). In this article we give asymptotic formulas for maximum-likelihood estimators of hyperbolic density functions used in finance. We compare our asymptotic calculated estimators with the numerically computed values and determine in both cases the hyperbolic option prices to find out the influence of the estimated parameters on financial characteristics.

Additional information

Notes on contributors

Martin Predota

Martin Predota is appointee of the insurance supervision of the Austrian financial market authority. Complementing his research focus in financial mathematics and insurance mathematics. He received the Ph. D. degree from Graz University of Technology and was a Member of the Department of Mathematics at Graz University of Technology for some years. He is author or co-author of publications in financial mathematics.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.