Portfolio Analysis of Financial Market Risks by Random Set Tools
AbstractA 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. 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.
Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 16756.
Date of creation: 2001
Date of revision:
risk; financial market; portfolio analysis; random set; Set-at-Risk;
Find related papers by JEL classification:
- G1 - Financial Economics - - General Financial Markets
- C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
- C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ekkehart Schlicht).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.