Math Problem Statement

Mr. Thomson is considering investing in all the companies. However, he is concerned that Equifax experienced major cyber breach in 2017. He believes it’s best to hold a portfolio comprising investment in ‘Koppers’ and ‘Adtran’ only. Compute his portfolio standard deviation if invest in all three companies equally. Comment on what advise you will give Mr. Thomson from diversification context given his concern.

Solution

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Math Problem Analysis

Mathematical Concepts

Portfolio Theory
Standard Deviation
Risk Management
Correlation Coefficients

Formulas

σ_p = √(w_A^2 σ_A^2 + w_B^2 σ_B^2 + w_C^2 σ_C^2 + 2w_A w_B ρ_AB σ_A σ_B + 2w_A w_C ρ_AC σ_A σ_C + 2w_B w_C ρ_BC σ_B σ_C)

Theorems

Portfolio Standard Deviation Formula

Suitable Grade Level

Undergraduate Finance or Advanced High School Economics