Consider the following table: Stock Fund Bond Fund Rate of Rate of Scenario Probability Return Return Severe 0.05 -38% -8% recession Mild recession 0.25 8% -16% Normal growth 0.40 18% 5% Boom 0.30 32% -5% b. Calculate the values of expected return and variance for the stock fund. (Do not round intermediate calculations. Enter "Expected return" value as a percentage rounded to 1 decimal place and "Variance" as decimal number rounded to 4 decimal places.) Expected return Variance c. Calculate the value of the covariance between the stock and bond funds. (Negative value should be indicated bya minus sign. Do not round intermediate calculations. Enter your answer as a decimal number rounded to 4 decimal places.) Covariance

Consider the following table: Stock Fund Bond Fund Rate of Rate of Scenario Probability Return Return Severe 0.05 -38% -8% recession Mild recession 0.25 8% -16% Normal growth 0.40 18% 5% Boom 0.30 32% -5% b. Calculate the values of expected return and variance for the stock fund. (Do not round intermediate calculations. Enter "Expected return" value as a percentage rounded to 1 decimal place and "Variance" as decimal number rounded to 4 decimal places.) Expected return Variance c. Calculate the value of the covariance between the stock and bond funds. (Negative value should be indicated bya minus sign. Do not round intermediate calculations. Enter your answer as a decimal number rounded to 4 decimal places.) Covariance

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)

7th Edition

ISBN:9780357033609

Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk

Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk

Chapter13: Investing In Mutual Funds, Etfs, And Real Estate

Section: Chapter Questions

Problem 8FPE

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Consider the following table: Scenario Probability Stock FundRate of Return Bond FundRate of Return Severe recession 0.10 −43% −12% Mild recession 0.20 −17.0% 12% Normal growth 0.30 17% 6% Boom 0.40 31% 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 funds
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…
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 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: 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 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:
Suppose you manage an equity fund with the following securities. Use the following data to help build an active portfolio. Input Data Vogt Industries Isher Corporation Hedrock, Incorporated Alpha 0.012 0.006 0.016 Beta 0.277 1.015 1.630 Standard Deviation 0.156 0.168 0.181 Residual Standard Deviation 0.117 0.048 0.113 Information Ratio 0.1026 0.1250 0.1416 Alpha/Residual Variance 0.877 2.604 1.253 Market Data S&P 500 Treasury Bills Expected Raturn 12.00% 2.50% Standard Deviation 20.00% 0.00% Required: Using the information in the table above, please first calculate the initial weight of each stock in an active portfolio, using the Treynor Black approach. Then adjust each weight for beta. (Use cells A5 to D14 from the given information to complete this question.) Treynor-Black Model Vogt Industries Isher Corporation Hedrock, Incorporated…
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. (Negative
You are given the following information concerning several mutual funds: Fund Return in Excess of the Treasury Bill Rate Beta A 12.4% 1.14 B 13.2% 1.22 C 11.4% 0.90 D 9.8% 0.76 E 12.6% 0.95 During the time period, the Standard & Poor's stock index exceeded the Treasury bill rate by 10.5 percent (i.e., r(m) - r(f) = 10.5%) a. Rank the performance of each fund without adjusting for risk and adjusting for risk using the Treynor index. Which, if any, outperformed the market? (Remember, the beta of the market is 1.0.) b. The analysis in part (a) assumes each fund is sufficiently diversified so that the appropriate measure of risk is the beta coefficient. Suppose,…
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 mean return and variance for both the stock and bond funds.
Consider the following two assets. The first is a stock fund, the second is a long-term government and corporate bond fund. The probability distribution of the funds is as follows: Expected ret std. dev. Stock fund 24% 28% Bond fund 11% 14% The correlation between the fund returns is 0.2. What is the investment proportion in the minimum variance portfolio of the bond fund? Round your answer to 4 decimal places. For example, if your answer is 3.205%, then please write down 0.0321 .
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.