Indifference curve

PrepNuggets

A curve representing all the combinations of risk and returns such that the investor is entirely indifferent among them.

The range of investments that a risk-averse investors would be indifferent towards should follow an upward sloping line.  The higher the risk of an investment, the higher the expected return that the investor demands. 

In practise, risk aversion is a spectrum.  For an extremely risk-averse investor, her indifference curve may be steeper.  For an investor that is just slightly risk-averse, the slope is gentler.  For a risk-neutral investor, it is a horizontal line, and  for a risk-seeking investor, the line is downward sloping.