Question

In: Finance

You put 60% of your money in a stock portfolio that has an expected return of...

You put 60% of your money in a stock portfolio that has an expected return of 14% and a standard deviation of 26%. You put the rest of your money in a risky bond portfolio that has an expected return of 6% and a standard deviation of 11%. The stock and bond portfolios have a correlation of 0.36. The standard deviation of the resulting portfolio is  %.

Please enter your answer with TWO decimal points.

Solutions

Expert Solution

standard deviation for a two-asset portfolio σp = (w12σ12 + w22σ22 + 2w1w2Cov1,2)1/2

where σp = standard deviation of the portfolio

w1 = weight of Asset 1

w2 = weight of Asset 2

σ1 = standard deviation of Asset 1

σ2 = standard deviation of Asset 2

Cov1,2 = covariance of returns between Asset 1 and Asset 2

Cov1,2 = ρ1,2 * σ1 * σ2, where ρ1,2 = correlation of returns between Asset 1 and Asset 2

standard deviation = ((0.62 * 0.262) + (0.42 * 0.112) + (2 * 0.6 * 0.4 * 0.36 * 0.26 * 0.11))1/2

standard deviation = 0.1767, or 17.67%


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