A risk averse investor avoids taking risk . He wants maximum profit at minimum risk . He dislikes risk . Whereas on the other hand Risk neutral investor is indefferent with the risk profile.
Guaging by “risk-adjusted return(eg., Sharpe Ratio”, may be case 2 is more risk-averse than case 3 (and even case 1), thus, my question is what are the definitions of risk and return here ?
In the above case Risk neutral guy would go for case 3 since he is indifferent about the risk and would like to maximise returns . He gets the maximum return in case of situation 3 .
A risk averse investor would go for minimum risk case i.e. for case one where the standard deviation is very low.This case is case 1.