medium · Quantitative Finance

In the Merton portfolio problem, how does the optimal fraction of wealth π^* invested in the risky asset scale with the investor's coefficient of relative risk aversion γ?

  1. It is independent of γ.
  2. It is inversely proportional to γ.
  3. It is directly proportional to γ.
  4. It scales with the square root of γ.

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