Consider two investments, one in virtual risk-free asset, (Treasury bills), the other a diversified index of common shares. To invest in a risky asset, they expect a higher rate of return.
The investor could choose to put some funds in the risk-free asset and the rest in the common shares index. For each additional dollar invested in the common shares index, he can expect to receive a higher return, though not with certainty; so, he is exposed to more risk in the pursuit of a higher return.
We can structure her investment opportunities as a frontier that shows the highest expected return consistent with any given level of risk, as shown in Exhibit 10 . The investor’s choice of a portfolio on the frontier will depend on her level of risk aversion.
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