scholarly journals Higher-Order Risk Preferences, Constant Relative Risk Aversion and the Optimal Portfolio Allocation

2015 ◽  
Author(s):  
Trino Manuel guez ◽  
Ivan Paya ◽  
David A. Peel ◽  
Javier Perote
Keyword(s):  
Relative Risk ◽  
Risk Aversion ◽  
Risk Preferences ◽  
Higher Order ◽  
Portfolio Allocation ◽  
Optimal Portfolio ◽  
Relative Risk Aversion ◽  
Constant Relative Risk Aversion

Inferring Risk Preferences Using Synthetic Win Bets in Horse Betting “Exotic” Markets

2013 ◽  
Vol 2 (1) ◽  
pp. 1-29
Author(s):  
Philip O'Connor
Keyword(s):  
Relative Risk ◽  
Standard Deviation ◽  
Risk Aversion ◽  
Financial Markets ◽  
Utility Function ◽  
Utility Theory ◽  
Risk Preferences ◽  
Higher Order ◽  
Relative Risk Aversion ◽  
Higher Order Moments

Exotic bets: exactas, trifectas and superfectas are complicated gambles that depend on the ordering of horse in a race that can be studied by converting them into “synthetic” or “virtual” win bets. Using two ways of constructing synthetic win bets, it is shown that the favorite-longshot bias is a poor description of the returns of the trifecta and superfecta synthetic win bet. Rather, consistent with financial markets, the standard deviation of the payout of the synthetic win bet better describes the different returns of synthetic win bets.It is found that the synthetic win market dislikes standard deviation and kurtosis (and other higher-order even moments) and likes skewness (and other higher order odd moments), implying participants conform to standard utility theory in their choice between win and synthetic win bets and are not risk-loving. A co-efficient of relative risk aversion of about 3 is estimated. Including higher-order moments strongly affects the magnitude of utility function estimates.

A Simplified Measure of Investor Risk Aversion

2020 ◽  
pp. 026010792092451
Author(s):  
John Grable ◽  
Eun Jin Kwak ◽  
Martha Fulk ◽  
Aditi Routh
Keyword(s):  
United States ◽  
Relative Risk ◽  
Risk Aversion ◽  
Risk Taking ◽  
Measurement Techniques ◽  
Revealed Preference ◽  
The United States ◽  
Relative Risk Aversion ◽  
Measures Of Risk ◽  
Constant Relative Risk Aversion

This article introduces a simplified measure of investor risk aversion. The singleitem question combines elements from revealed preference and propensity measurement techniques in a way that matches traditional constant relative risk-aversion estimation procedures. Based on survey data from 500 investors living in the United States, scores from the proposed measure were found to correlate with other measures of risk aversion, as well as with indicators of risk-taking. A validity test showed that answers to the proposed measure were statistically associated with equity and cash ownership holdings in respondent portfolios. The simplicity and intuitive nature of the proposed measure and the alignment of question response categories to estimates of constant relative risk aversion make this a potentially valuable addition to the toolkit of researchers, financial educators, investors and those who provide advice to investors. JEL: C83, D10, D11, D14, D19, D81

scholarly journals Partnerships of Bidders with Constant Relative Risk Aversions

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Pingping Zhao ◽  
Kaili Xiang ◽  
Peimin Chen
Keyword(s):  
Relative Risk ◽  
Risk Aversion ◽  
Relative Risk Aversion ◽  
Unique Equilibrium ◽  
Risk Neutral ◽  
Bid Price ◽  
Risk Aversion Coefficient ◽  
Constant Relative Risk Aversion ◽  
The Difference

In this paper, we study a dynamic auction for allocating a single indivisible project while different participants have different bid values for the project. When the price rises continuously, the bidders can retreat the auction and obtain the compensation by the difference between the price at retreating time and the previous bid price. The final successful bidder achieves the project and pays compensations to others. We show that the auction of bidders with constant relative risk aversion (CRRA) has a unique equilibrium. While the relative risk aversion coefficient approaches to zero, the equilibrium with CRRA bidders would approach to the equilibrium with risk-neutral bidders.

Power Law with Exponential Cut‐off Utility

Metamorphosis ◽  
2014 ◽  
Vol 13 (1) ◽  
pp. 26-32
Author(s):  
Afreen Arif H. ◽  
T.P.M. Pakkala
Keyword(s):  
Risk Aversion ◽  
Utility Function ◽  
Power Law ◽  
Risk Preferences ◽  
Portfolio Allocation ◽  
Utility Functions ◽  
Relative Risk Aversion ◽  
Optimal Solutions ◽  
New Class ◽  
Exponential Power

Most of the utility functions studied earlier concentrated on properties of risk aversion. In this article, the authors have introduced a new class of utility function called the Power Law with Exponential Cut-off (PLEC) utility function, which exhibits all the absolute and relative risk aversion and risk loving preferences of individuals, under various conditions. It generalises and encompasses other systems of utility functions like that of exponential power. Certain properties of this utility function are discussed. Sensitivity analysis exhibits different portfolio allocations for various risk preferences. The analysis also shows that arbitrary risk preferences may lead to biased risk response estimates. Performance of PLEC utility function in portfolio allocation problem is demonstrated through numerical examples. This is evaluated through optimal solutions.

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