<p>i&quot;m looking for an example of either risk loving or risk neutral utility function. what i mean is like for risk averse, we have the HARA utility function. is there a utility function that exhibit risk neutral individual like HARA exhibit risk averse individual? thank you very much for the help.</p>
<p>edit: i also need the risk loving example guys, thank you so much for the one who have answered the risk neutral example</p>

CC BY-SA 4.0
2022-12-25T11:03:00.893Z
$u(x_1, ...., x_n) = \sum x_i$
Ishan Kashyap Hazarika
CC BY-SA 4.0
2022-12-26T00:26:52.880Z
There really is only one risk-neutral utility function: $u(x)=x$. More generally, you can have $u(x)=\alpha x+\beta$ with $\alpha>0$, but this is really the same utility function; the preferences over lotteries are the same.
Michael Greinecker
CC BY-SA 4.0
2022-12-27T05:46:53.067Z
what about the risk loving one? do you happen to know any function that shows utility of a risk loving individual? thank you
Oei Evelyn Clarieta Kusuma
CC BY-SA 4.0
2022-12-27T12:04:44.387Z
Any convex increasing function will do.
Michael Greinecker
<utility><risk><risk-aversion>
example of risk neutral or risk loving utility function
Oei Evelyn Clarieta Kusuma
# example of risk neutral or risk loving utility function

(Asked by: username_0 on 2022-12-25)

i"m looking for an example of either risk loving or risk neutral utility function. what i mean is like for risk averse, we have the HARA utility function. is there a utility function that exhibit risk neutral individual like HARA exhibit risk averse individual? thank you very much for the help.

edit: i also need the risk loving example guys, thank you so much for the one who have answered the risk neutral example

**Tags:** utility, risk, risk-aversion

> **Comments:**
> **username_1**: $u(x_1, ...., x_n) = \sum x_i$  
> **username_2**: There really is only one risk-neutral utility function: $u(x)=x$. More generally, you can have $u(x)=\alpha x+\beta$ with $\alpha>0$, but this is really the same utility function; the preferences over lotteries are the same.  
> **username_0**: what about the risk loving one? do you happen to know any function that shows utility of a risk loving individual? thank you  
> **username_2**: Any convex increasing function will do.  

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## 0 answers

