Question

Suppose you have a two-stock portfolio consisting of Apple and Tesla stock. The portfolio weight of Apple is 25% and the rest is Tesla. The volatility of annual returns is 35% for Apple and 60% for Tesla. The correlation coefficient between the two stocks' returns is 0.22. What's the volatility of your portfolio?

Answer 1

Standard deviation = 47.69% (Approx)

Step-by-step explanation:

Given:

Portfolio of Apple stock w1 = 25% = 0.25

Portfolio of Tesla stock w2 = 75% = 0.75

Standard deviation return Apple σ1 = 35% = 0.35

Standard deviation return Tesla σ2 = 60% = 0.60

Correlation coefficient ρ12 = 0.22

Find:

Standard deviation

Computation:

Standard deviation = √w1²σ1² + w2²σ2² + 2w1σ1w2σ2ρ12

Standard deviation = 0.4769

Standard deviation = 47.69% (Approx)