This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

On the Generalized Brownian Motion and its Applications in Finance

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Høg, Esben () (Department of Business Studies, Aarhus School of Business)
Frederiksen, Per () (Equity and Fund Linked Derivatives)
Schiemert, Daniel () (Universität Stuttgart;)
Abstract

This paper deals with dynamic term structure models (DTSMs) and proposes a new way to handle the limitation of the classical affine models. In particular, the paper expands the exibility of the DTSMs by applying generalized Brownian motions with dependent increments as the governing force of the state variables instead of standard Brownian motions. This is a new direction in pricing non defaultable bonds. By extending the theory developed by Dippon & Schiemert (2006a), the paper developes a bond market with memory, and proves the absence of arbitrage. The framework is readily extendable to other markets or multi factors. As a complement the paper shows an example of how to derive the implied bond pricing parameters using the ordinary Kalman filter.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://research.asb.dk/fbspretrieve/3516/F_2008_07.PDF
File Format: application/pdf
File Function:
Download Restriction: no

Publisher Info
Paper provided by University of Aarhus, Aarhus School of Business, Department of Business Studies in its series Finance Research Group Working Papers with number F-2008-07.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 38 pages
Date of creation: 01 Nov 2008
Date of revision:
Handle: RePEc:hhb:aarbfi:2008-07

Contact details of provider:
Postal: The Aarhus School of Business, Fuglesangs Allé 4, DK-8210 Aarhus V, Denmark
Fax: + 45 86 15 19 43
Web page: http://www.asb.dk/about/departments/bs.aspx
More information through EDIRC

For technical questions regarding this item, or to correct its listing, contact: (Helle Vinbaek Stenholt).

Related research
Keywords: Generalized Brownian motion; Bond market with memory; Fractional bond pricing equation; fractional Ornstein-Uhlenbeck process; long memory; Kalman filter;

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Crato, Nuno & Rothman, Philip, 1994. "Fractional integration analysis of long-run behavior for US macroeconomic time series," Economics Letters, Elsevier, vol. 45(3), pages 287-291. [Downloadable!] (restricted)
  2. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November. [Downloadable!] (restricted)
  3. Ang, Andrew & Bekaert, Geert, 2002. "Regime Switches in Interest Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(2), pages 163-82, April.
    Other versions:
  4. Das, Sanjiv R., 2002. "The surprise element: jumps in interest rates," Journal of Econometrics, Elsevier, vol. 106(1), pages 27-65, January. [Downloadable!] (restricted)
  5. David K. Backus & Stanley E. Zin, 1993. "Long-memory inflation uncertainty: evidence from the term structure of interest rates," Proceedings, Federal Reserve Bank of Cleveland, pages 681-708.
    Other versions:
  6. Tomas Björk & Henrik Hult, 2005. "A note on Wick products and the fractional Black-Scholes model," Finance and Stochastics, Springer, vol. 9(2), pages 197-209, 04. [Downloadable!] (restricted)
  7. Hao Zhou, 2001. "Jump-diffusion term structure and Ito conditional moment generator," Finance and Economics Discussion Series 2001-28, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  8. Ahn, Dong-Hyun & Gao, Bin, 1999. "A Parametric Nonlinear Model of Term Structure Dynamics," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 12(4), pages 721-62.
  9. Dong-Hyun Ahn & Robert F. Dittmar, 2002. "Quadratic Term Structure Models: Theory and Evidence," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 15(1), pages 243-288, March.
  10. Emma M. Iglesias & Garry D. A. Phillips, 2005. "Analysing one-month Euro-market interest rates by fractionally integrated models," Applied Financial Economics, Taylor and Francis Journals, vol. 15(2), pages 95-106, January. [Downloadable!] (restricted)
  11. Jefferson Duarte, 2004. "Evaluating an Alternative Risk Preference in Affine Term Structure Models," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 17(2), pages 379-404. [Downloadable!] (restricted)
Full references

Statistics
Access and download statistics

Did you know? RePEc and its associated services are free for contributors and users, and do not accept any advertising.

This page was last updated on 2009-12-18.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.