medium · Quantitative Finance

An investor allocates wealth between a risky asset with expected excess return μ - r = 8% and volatility σ = 20%, and a risk-free asset.

If the investor's coefficient of relative risk aversion is γ = 4, what is the Merton optimal fraction (π^*) to be held in the risky asset?

  1. 25%
  2. 50%
  3. 40%
  4. 100%

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