
Answer-first summary for fast verification
Answer: 1.4
## Explanation The portfolio beta is calculated as the weighted average of the individual asset betas: - Asset 1: Beta = 1.3, Weight = 0.3 - Asset 2: Beta = 0.97, Weight = 0.23 - Asset 3: Beta = 1.7, Weight = 0.37 - Asset 4: Beta = 1.4, Weight = 0.1 **Calculation:** Portfolio Beta = (1.3 × 0.3) + (0.97 × 0.23) + (1.7 × 0.37) + (1.4 × 0.1) = 0.39 + 0.2231 + 0.629 + 0.14 = **1.3821 ≈ 1.4** **Important Note:** The market risk-free rate of 5% is irrelevant for calculating portfolio beta. Beta measures systematic risk relative to the market, and its calculation depends only on the individual asset betas and their portfolio weights, not on risk-free rates.
Author: Tanishq Prabhu
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