Portfolio Analysis of Financial Market Risks by Random Set Tools
A new approach to portfolio analysis of financial market risks by random set tools is considered. Despite many attempts, the consistent and global modeling of financial markets remains an open problem. In particular it remains a challenge to find a simple and tractable economic and probabilistic approach to market modeling. This paper attempts to highlight fundamental properties that a market model should possess. The paper suggests a random set approach as a probabilistic base of this model. Using this approach it is possible to establish a corresponding interactive market dynamics that involves a minimal number of sets. These sets include the set of capital surpluses, the set of capital within assets and the set of capital deficits. Several interesting properties related to random volatility of assets quality, probabilities of quality categories and defaults and matrices of transition probabilities of switching among categories can be derived. In addition the random set approach allows to derive the so called transition set-matrices, random set invariants of capital redistribution processes. Empirical evidence will be given that confirm these random set findings. The approach is also illustrated by collapses in U.S. financial markets in 90's and can be used to explain Russian default'98.
|Date of creation:||2001|
|Date of revision:|
|Publication status:||Published in Proceedings of the Symposium "Risks in Investment Accumulation Products of Financial Institutions", Schaumburg, IL (2001): pp. 43-66|
|Contact details of provider:|| Postal: Ludwigstraße 33, D-80539 Munich, Germany|
Web page: https://mpra.ub.uni-muenchen.de
More information through EDIRC
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.:
- Scott D. Aguais & Anthony M. Santomero, 1997. "Incorporating New Fixed Income Approaches into Commercial Loan Valuation," Center for Financial Institutions Working Papers 98-06, Wharton School Center for Financial Institutions, University of Pennsylvania.
When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:16756. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Winter)
If references are entirely missing, you can add them using this form.