Consider the following table: Scenario Severe recession Mild recession Normal growth Boom Required: Stock Fund Probability Rate of Return Bond Fund Rate of Return 0.05 -29% -14% 0.25 -9% 20% 0.40 14% 13% 0.30 19% -10% a. Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 2 decimal places.) Mean return Variance 7.6 % b. Calculate the value of the covariance between the stock and bond funds. (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.) Covariance
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- Consider the following table: Scenario Severe recession Mild recession Normal growth Boom Probability 0.05 0.25 0.40 0.30 Stock Fund Rate of Return -32% -12% 17% 22% Bond Fund Rate of Return -11% 17% 10% -7% a. Calculate the values of mean return (or called expected return) and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 2 decimal places.) (Hint: Recall the formula on Page 29 (Example: Volatility of a Two-Stock Portfolio) of Slides of Lecture 2a) b. Calculate the value of the covariance between the stock and bond funds. (NegativeConsider the following table: Scenario Probability Stock FundRate of Return Bond FundRate of Return Severe recession 0.10 −38% −14% Mild recession 0.20 −6.0% 10% Normal growth 0.35 10% 4% Boom 0.35 40% 4% Required: a. Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 4 decimal places.) b. Calculate the value of the covariance between the stock and bond fundsConsider the following table: Scenario Probability Stock FundRate of Return Bond FundRate of Return Severe recession 0.10 −30% −11% Mild recession 0.15 −12.0% 8% Normal growth 0.35 6% 2% Boom 0.40 39% 5% Required: a. Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 4 decimal places.) b. Calculate the value of the covariance between the stock and bond funds. (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 4 decimal places.)
- Consider the following table: Scenario Probability Stock Fund Rate of Return Bond Fund Rate of Return Severe recession 0.05-33%-12% Mild recession 0.25 -13% 18% Normal growth 0.40 18% 11% Boom 0.30 23%-8% Required: a. Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 2 decimal places.) b. Calculate the value of the covariance between the stock and bond funds. (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)Consider the following: Rate of Return Scenario Probability Stocks Bonds Recession .30 -8% 21% Normal Economy .50 22% 9% Boom .20 32% 9% a). Calculate the expected rate of return and standard deviation for each investment. (Don't round intermediate calculations, enter final answers as a percent rounded to 1 decimal place.) Expected Rate of Return Standard Deviation Stocks % % Bonds % %Consider the following table: Stock Fund Bond Fund Scenario Probability Rate of Return Rate of Return Severe recession 0.05 –27 % –12 % Mild recession 0.25 –7 % 18 % Normal growth 0.40 12 % 11 % Boom 0.30 17 % –8 % a.Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 2 decimal places.) mean return: variance: b.Calculate the value of the covariance between the stock and bond funds. (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)vovariance:
- Consider the following table: Stock Fund Bond Fund Scenario Probability Rate of Return Rate of Return Severe recession 0.05 –28 % –13 % Mild recession 0.25 –8 % 19 % Normal growth 0.40 13 % 12 % Boom 0.30 18 % –9 % a.Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 2 decimal places.) b.Calculate the value of the covariance between the stock and bond funds. (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)Consider the performance of a stock fund and a bond fund, based on the state of the economy. State of Economy Probability Stock Fund: Rate of Return Bond Fund: Rate of Return Boom 0.2500 0.4500 0.0500 Normal Growth 0.4500 0.1300 0.0700 Recession 0.2750 -0.1500 0.0750 Severe Recession 0.0250 -0.4000 -0.0500 Measurement Stock Fund Bond Fund Mean 11.98% 6.34% Variance 0.0541 0.0004 Standard Deviation 23.25% 2.06% Covariance (Stock and Bond Funds) -0.05% Correlation -9.68% Required: Using the information in the table above and the weights below, calculate the mean, variance, and standard deviation of a combined portfolio. Stock Fund 70% Bond Fund 30% (Use cells A5 to D21 from the given information to complete this question.) Portfolio Performance Mean Variance Standard…Scenario Probability Stock fund Rate of Return Bond fund Rate of Return Severe recession 0.05 -30 -11 Mild recession 0.25 -15 13 Normal Growth 0.40 15 12 Boom 0.30 32 -7 Calculate the covariance and correlation coefficient of the two funds.
- Consider the following states of outcomes, probabilities, and expected returns on only stocks three stocks in your portfolio; X, Y, and Z. State Probability X Y Z Boom 0.1 16% 10% 22% Semi-Boom 0.15 14% 8% 18% Normal 0.55 10% 6% 14% Mild-Recession ?? 5% 4% -10% Full-Recession 0.05 -3% 2% -12% a. What is the expected return of the portfolio if $25,000 is invested in X, $35,000 in Y, and $30,000 invested in stock Z? b. What are the standard deviations of stocks X, Y, and Z?The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 Index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 1% over the coming month. Beta R-square Standard Deviationof Residuals 0.75 0.65 0.05 (i.e., 5% monthly) Required: a-1. If he holds a $12.0 million portfolio of Waterworks stock and wishes to hedge market exposure for the next month using one-month maturity S&P 500 futures contracts, how many contracts should he enter? The S&P 500 currently is at 2,000 and the contract multiplier is $50. a-2. Should he buy or sell contracts?multiple choice Sell Correct Buy b. Assuming that monthly returns are approximately normally distributed, what is the probability that this market-neutral strategy will lose money over the next month? Assume the risk-free rate is 0.8% per month. (Do not round intermediate calculations. Round your percentage answer to 2…You have been give this Probability distribution for the expected return of Stocks Bonds Recession 0.25 -4.5% - 2%% Normal growth 0.45 5% 4% Boom 0.30 15% 7% a. Calculat the expected rate of return of stock and bond b. Calculate the standard deviation for each investment? c. Compute the coefficient of variation? d. If an investor allocate 60% of asset t stock and remaining to bond, what would be the investor's portfolio returns and standard deviation? e. Is there any diversification benefit achived?