Risk lover and risk averse

In the past few days I've been often thinking of my classes of economics, not because I suddenly developped a love for investments, but because being a risk lover or a risk averse makes a lot of sense at this point of my experience here. Certainly the meaning I'm referring to, goes beyond the pure economical behaviour and economists may be horrified by my mystification...but still....

Risk Lover: An investor who is willing to take on additional risk for an investment that has a relatively low expected return. This contrasts with the typical investor mentality - risk aversion. Risk averse investors tend to take on increased risks only if they are warranted by the potential for higher returns.

One way to characterize differences in investor risk aversion is by the curvature of the iso-utility lines. Below are representative curves for four different types of investors: A more risk-averse, a moderately risk-averse, a less risk-averse, and a risk-loving investor. The whole set of nested curves is omitted to keep the picture simple.

Notice that the risk-lover demands lower expected return as risk increases in order to maintain the same utility level. On the other hand, for the more risk-averse investor, as volatility increase, he or she will demand sharply higher expected returns to hold the portfolio. These different curves will result in different portfolio choices for investors. The optimization procedure simply takes the efficient frontier and finds its point of tangency with the highest iso-utility curve in the investor set. In other words, it identifies the single point that provides the investor with the highest level of utility. For risk-averse individuals, this point is unique.

NOW: am I a risk lover or a risk averse? And which one are you?