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Expected rate of return-standard deviation of the portfolio

Question: Need some assistance on the following problem. Have an exam and this is a sample problem I cannot figure out. Please include all formulas so I can get a better grasp on this topic.

RATE OF RETURN
Scenario Probabiltiy Stocks Bonds

Recession .20 -5% +14%

Normal .60 +15% +8%

Boom .20 +25% +4%

Portfolio Analysis. Use the data in the previous problem and consider a portfolio with weights of .60 in stocks and .40 in bonds.

Q1. What is the rate of return on the portfolio in each scenario?

Q2. What is the expected rate of return and standard deviation of the portfolio?

Q3. Would you prefer to invest in the portfolio, in stocks only, or in bonds only?

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Finance Basics: Expected rate of return-standard deviation of the portfolio

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Finance Basics: Expected rate of return-standard deviation of the portfolio

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