CAPM with various utility functions: Theoretical developments and application to international data
This paper presents an extension of the Capital Assets Pricing Model (hereafter CAPM) where various utility functions are applied. Specifically, we propose an overall CAPM beta that accounts for the higher order moments and reflects the investor preferences and attitudes toward risk. We particularly...
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Online Access: | http://dx.doi.org/10.1080/23322039.2017.1343230 |
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doaj-e7267af593ea4973a6f76e4e3ee028392021-02-18T13:53:23ZengTaylor & Francis GroupCogent Economics & Finance2332-20392017-01-015110.1080/23322039.2017.13432301343230CAPM with various utility functions: Theoretical developments and application to international dataRihab Bedoui0Houda BenMabrouk1LaREMFiQ, Laboratory of Research on Economis, Management and Quantitative Finance, LaREMFiQ, Laboratory of Research on Economis, Management and Quantitative Finance, This paper presents an extension of the Capital Assets Pricing Model (hereafter CAPM) where various utility functions are applied. Specifically, we propose an overall CAPM beta that accounts for the higher order moments and reflects the investor preferences and attitudes toward risk. We particularly develop CAPM betas for different classes of utility function: the negative exponential utility function, power utility function or “Constant Relative Risk Aversion (CRRA) Utilities” and hyperbolic utility function or “HARA Utilities” (hyperbolic absolute risk aversion). In order to validate our theoretical results, we analyze the impact of investors’ preferences on the valuation equation. Applying the International CAPM, the results indicate that our utilities-based betas differ largely from the traditional CAPM betas. Moreover, the results confirm the importance of higher order moments on the pricing equation. Finally, the results both empirically and theoretically post to the consistent effect of the risk aversion degree on our utilities-based CAPM.http://dx.doi.org/10.1080/23322039.2017.1343230truncated taylor approximationnegative exponential utility functionpower utility functionhyperbolic utility functionrisk measureassets pricinginternational capm |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Rihab Bedoui Houda BenMabrouk |
spellingShingle |
Rihab Bedoui Houda BenMabrouk CAPM with various utility functions: Theoretical developments and application to international data Cogent Economics & Finance truncated taylor approximation negative exponential utility function power utility function hyperbolic utility function risk measure assets pricing international capm |
author_facet |
Rihab Bedoui Houda BenMabrouk |
author_sort |
Rihab Bedoui |
title |
CAPM with various utility functions: Theoretical developments and application to international data |
title_short |
CAPM with various utility functions: Theoretical developments and application to international data |
title_full |
CAPM with various utility functions: Theoretical developments and application to international data |
title_fullStr |
CAPM with various utility functions: Theoretical developments and application to international data |
title_full_unstemmed |
CAPM with various utility functions: Theoretical developments and application to international data |
title_sort |
capm with various utility functions: theoretical developments and application to international data |
publisher |
Taylor & Francis Group |
series |
Cogent Economics & Finance |
issn |
2332-2039 |
publishDate |
2017-01-01 |
description |
This paper presents an extension of the Capital Assets Pricing Model (hereafter CAPM) where various utility functions are applied. Specifically, we propose an overall CAPM beta that accounts for the higher order moments and reflects the investor preferences and attitudes toward risk. We particularly develop CAPM betas for different classes of utility function: the negative exponential utility function, power utility function or “Constant Relative Risk Aversion (CRRA) Utilities” and hyperbolic utility function or “HARA Utilities” (hyperbolic absolute risk aversion). In order to validate our theoretical results, we analyze the impact of investors’ preferences on the valuation equation. Applying the International CAPM, the results indicate that our utilities-based betas differ largely from the traditional CAPM betas. Moreover, the results confirm the importance of higher order moments on the pricing equation. Finally, the results both empirically and theoretically post to the consistent effect of the risk aversion degree on our utilities-based CAPM. |
topic |
truncated taylor approximation negative exponential utility function power utility function hyperbolic utility function risk measure assets pricing international capm |
url |
http://dx.doi.org/10.1080/23322039.2017.1343230 |
work_keys_str_mv |
AT rihabbedoui capmwithvariousutilityfunctionstheoreticaldevelopmentsandapplicationtointernationaldata AT houdabenmabrouk capmwithvariousutilityfunctionstheoreticaldevelopmentsandapplicationtointernationaldata |
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