Header

UZH-Logo

Maintenance Infos

Modelling Alpha-Opportunities Within the CAPM - Zurich Open Repository and Archive


Hens, Thorsten; Gerber, Anke (2006). Modelling Alpha-Opportunities Within the CAPM. NCCR FinRisk Working Paper Series 317, University of Zurich.

Abstract

We consider a simple CAPM with heterogenous expectations on assets mean returns while keeping the assumption of homogenous expectations on the covariance of returns. Our first result derives the security market line as an aggregation result without using the two-fund-separation property. In particular every investor can hold optimal portfolios that are underdiversified.In our model alpha-opportunities can be explained as a feature of financial market equilibria and we can show that alpha-opportunities erode with the assets under management and that the hunt for alphaopportunities is a zero-sum game. Then we endogenize the agents information by allowing them to be either passive, in which case they invest according to the average expectation embodied in the market returns, or to be active, in which case they can acquire superior information at some cost. It is shown that expecting a positive alpha is not necessarily a good criterion for becoming active. Moreover, the less risk averse investors are more inclined to be active and delegating active investment to portfolio managers only makes sense if the performance fee increases with the skill of the portfolio manager. Finally, in our model it turns out that only a market in which all investors are passive and share the same correct belief is stable with respect to information acquisition. Hence the standard CAPM with homogenous beliefs can be seen as the long run outcome of our model.

Abstract

We consider a simple CAPM with heterogenous expectations on assets mean returns while keeping the assumption of homogenous expectations on the covariance of returns. Our first result derives the security market line as an aggregation result without using the two-fund-separation property. In particular every investor can hold optimal portfolios that are underdiversified.In our model alpha-opportunities can be explained as a feature of financial market equilibria and we can show that alpha-opportunities erode with the assets under management and that the hunt for alphaopportunities is a zero-sum game. Then we endogenize the agents information by allowing them to be either passive, in which case they invest according to the average expectation embodied in the market returns, or to be active, in which case they can acquire superior information at some cost. It is shown that expecting a positive alpha is not necessarily a good criterion for becoming active. Moreover, the less risk averse investors are more inclined to be active and delegating active investment to portfolio managers only makes sense if the performance fee increases with the skill of the portfolio manager. Finally, in our model it turns out that only a market in which all investors are passive and share the same correct belief is stable with respect to information acquisition. Hence the standard CAPM with homogenous beliefs can be seen as the long run outcome of our model.

Statistics

Downloads

11 downloads since deposited on 22 Oct 2015
6 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Working Paper
Communities & Collections:03 Faculty of Economics > Department of Banking and Finance
Dewey Decimal Classification:330 Economics
Language:English
Date:2006
Deposited On:22 Oct 2015 14:51
Last Modified:16 Aug 2017 13:48
Series Name:NCCR FinRisk Working Paper Series
Other Identification Number:merlin-id:6008

Download

Preview Icon on Download
Preview
Filetype: PDF
Size: 309kB

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations