These risk-indifference curves, calculated with the utility formula with the risk aversion coefficient equal to 2, but with higher utility values resulting from setting the risk-free rate to successively higher values. Of course, any investor, regardless of risk aversion, would like to receive a higher return for the same risk. The utility of these risk-indifference curves is that they allow the selection of the optimum portfolio out of all of those that are attainable by combining these curves with the efficient frontier. Where 1 of the curves intersects the efficient frontier at a single point is the portfolio that will yield the best risk-return trade-off for the risk that the investor is willing to accept.