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#1 Capital market expectations for stock and bond funds Use the given rates of return under different market conditions to calculate the expected or mean

#1 Capital market expectations for stock and bond funds
Use the given rates of return under different market conditions to calculate the expected or mean return for the stock and bond fund.
Stock Fund Bond Fund
Scenario Probability Rate of Return Col B x Col C Rate of Return Col B x Col E
Severe recession 0.05 -33 -9
Mild recession 0.25 -9 15
Normal growth 0.40 12 8
Boom 0.30 31 -5
Expected or Mean Return: SUM: 0.0 SUM: 0.0
#2 Variance of returns
Use the expected return you calculated in the previous problem to find the deviation from the expected return and calculate the variance of returns for the stock and bond funds.
Stock Fund Bond Fund
Deviation Deviation
Rate from Variance Column B Rate from Variance Column B
of Expected (Squared x of Expected (Squared x
Scenario Prob. Return Return Deviation) Column E Return Return Deviation) Column I
Severe recession 0.05 -33 0 0.00 -9 0 0.00
Mild recession 0.25 -9 0 0.00 15 0 0.00
Normal growth 0.40 12 0 0.00 8 0 0.00
Boom 0.30 31 0 0.00 -5 0 0.00
Variance = SUM 0.00 Variance: 0.00
Standard deviation = SQRT(Variance) 0.00 Std. Dev.: 0.00
#3 Performance of a portfolio invested in the stock and bond funds
Find the expected return and standard deviation of a portfolio invested 40% in the stock fund and 60% in the bond fund by weighting the returns by the amount invested under each economic scenario.
Portfolio invested 40% in stock fund and 60% in bond fund
Rate Column B Deviation from Column B
of x Expected Squared x
Scenario Probability Return Column C Return Deviation Column F
Severe recession 0.05 0.00 0.0 0.00 0.00
Mild recession 0.25 0.00 0.0 0.00 0.00
Normal growth 0.40 0.00 0.0 0.00 0.00
Boom 0.30 0.00 0.0 0.00 0.00
Expected return: 0.00 Variance: 0.00
Standard deviation: 0.00
#4 Covariance between the returns of the stock and bond funds
Use the deviation from return that you calculated in #2 above to calculate the covariance and correlation coefficient of the stock and bond funds.
Deviation from Mean Return Covariance
Scenario Probability Stock Fund Bond Fund Product of Dev Col B x Col E
Severe recession 0.05 -14 0 0.0
Mild recession 0.25 10 0 0.0
Normal growth 0.40 3 0 0.0
Boom 0.30 -10 0 0.0
Covariance = SUM: 0.0
Correlation coefficient = Covariance/(StdDev(stocks)*StdDev(bonds)) = #DIV/0!
#5 What does the correlation coefficient you calculate indicate?
#6 What is the Sharpe ratio and how does diversification improve it?

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