a)
To discuss:
Introduction:
Return: In financial context, return is seen as percentage that represents the profit in an investment.
b)
To discuss:
Average Rate of return.
Introduction:
Return: In financial context, return is seen as percentage that represents the profit in an investment.
c)
To discuss:
Standard deviation.
Introduction:
Return: In financial context, return is seen as percentage that represents the profit in an investment.
The standard deviation measures the volatility of the stock. It measures in absolute terms the dispersion of asset risk around its mean.
d)
To discuss:
Coefficient of variation
Introduction:
The coefficient of variation is an asset risk indicator that measures the relative dispersion. It describes the volatility of asset returns relative to its mean or expected return.
e)
To determine:
Investment decision
Introduction:
Risk: The risk can be defined as the uncertainty attached to an event such as investment where there is some amount of risk associated to it as there can be either gain or loss.
The coefficient of variation is an asset risk indicator that measures the relative dispersion. It describes the volatility of asset returns relative to its mean or expected return.
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EBK PRINCIPLES OF MANAGERIAL FINANCE
- Q2: A private investment club has $200,000 earmarked for investment in stocks. To arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high risk, medium risk, and low risk. Management estimates that high-risk stocks will have a rate of return of 15%/year; medium-risk stocks, 10%/year; and low-risk stocks, 6%/year. The members have decided that the investment in low-risk stocks should be equal to the sum of the investments in the stocks of the other two categories. Determine how much the club should invest in each type of stock if the investment goal is to have a return of $20,000/year on the total investment. (Assume that all the money available for investment is investedarrow_forwardSubject: Financial strategy & policy 8-2: PORTFOLIO BETA An individual has $35,000 invested in a stock with a beta of 0.8 and another $40,000 invested in a stock with a beta of 1.4. If these are the only two investments in her portfolio, what is her portfolio’s beta? 8-3: REQUIRED RATE OF RETURN Assume that the risk-free rate is 6% and the expected return on the market is 13%. What is the required rate of return on a stock with a beta of 0.7? 8-4: EXPECTED AND REQUIRED RATES OF RETURN Assume that the risk-free rate is 5% and the market risk premium is 6%. What is the expected return for the overall stock market? What is the required rate of return on a stock with a beta of 1.2?arrow_forwardINV4 1a Options are often used in combination with stocks to reduce risk or to produce other avenues of revenue. Buying protective puts guards against downside risk while allowing for upside potential. Writing covered calls allow investors to earn premium income on a stock they expect to remain stable in price. Wang Foo Ltd. has a current stock price of $80, does not pay dividends, and has an expected standard deviation of .30. Also, the risk-free rate is 10% per year, continuously compounded. What is the European call option price and European put option price, for 100-share contracts expiring in 9 months, at a strike price of $70, according to the Black-Scholes-Merton model? Hint: Use Spreadsheet 21.1 from file Bodie_9Ce_Ch21.xlsx.arrow_forward
- All parts are under one questione adn therefore can be answered per your policy. 3. Measuring stand-alone risk using realized (historical) data Returns earned over a given time period are called realized returns. Historical data on realized returns is often used to estimate future results. Analysts across companies use realized stock returns to estimate the risk of a stock. Consider the case of Falcon Freight Inc. (FF): Five years of realized returns for FF are given in the following table. Remember: 1. While FF was started 40 years ago, its common stock has been publicly traded for the past 25 years. 2. The returns on its equity are calculated as arithmetic returns. 3. The historical returns for FF for 2014 to 2018 are: 2014 2015 2016 2017 2018 Stock return 8.75% 5.95% 10.50% 14.70% 4.55% A. Given the preceding data, the average realized return on FF’s stock is . B. The preceding data series…arrow_forwardQuestion content area top Part 1 (Capital asset pricing model) Anita, Inc. is considering the following investments. The current rate on Treasury bills is 7 percent, and the expected return for the market is 12.5 percent. Using the CAPM, what rates of return should Anita require for each individual security? Stock Beta H 0.71 T 1.62 P 0.89 W 1.37 (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. The expected rate of return for security H, which has a beta of 0.71, is enter your response here%. (Round to two decimal places.) Part 2 b. The expected rate of return for security T, which has a beta of 1.62, is enter your response here%. (Round to two decimal places.) Part 3 c. The expected rate of return for security P, which has a beta of 0.89, is enter your response here%. (Round to two decimal places.) Part 4 d. The expected rate of return for…arrow_forwardProblem 2 Financial planner Minnie Margin has a substantial number of clients who wish to own a mutual fund portfolio that matches, as a whole, the performance of the Russell 2000 index. Her task is to determine what proportion of the portfolio should be invested in each of the five mutual funds listed below so that the portfolio most closely mimics the performance of the Russell 2000 index. Annual Returns Year 1 Year 2 Year 3 Year 4 International Stock 22.37 26.73 4.86 2.17 Large-Cap Value 15.48 19.64 11.50 -5.25 Mid-Cap Value 17.42 20.07 -4.97 -1.69 Small-Cap Growth 23.18 12.36 3.25 3.81 Short-Term Bond 9.26 8.81 6.15 4.04 Russell 2000 Index 20 22 8 2 Write out the (non-linear) program that would produce a portfolio that most closely mimics the performance of the Russell 2000 Index. Use Excel's Solver with "GRG Non-Linear" as the solution algorithm: what is the optimal solution, i.e.,…arrow_forward
- Question Workspace Check My Work (1 remaining) eBook Problem Walk-Through Consider the following information for stocks A, B, and C. The returns on the three stocks are positively correlated, but they are not perfectly correlated. (That is, each of the correlation coefficients is between 0 and 1.) Stock Expected Return Standard Deviation Beta A 9.28% 14% 0.8 B 11.33 14 1.3 C 12.97 14 1.7 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 6%, and the market is in equilibrium. (That is, required returns equal expected returns.) What is the market risk premium (rM - rRF)? Round your answer to two decimal places. % What is the beta of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. What is the required return of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. %arrow_forward3. Measuring stand-alone risk using realized (historical) data Returns earned over a given time period are called realized returns. Historical data on realized returns is often used to estimate future results. Analysts across companies use realized stock returns to estimate the risk of a stock. Consider the case of Falcon Freight Inc. (FF): Five years of realized returns for FF are given in the following table. Remember: 1. While FF was started 40 years ago, its common stock has been publicly traded for the past 25 years. 2. The returns on its equity are calculated as arithmetic returns. 3. The historical returns for FF for 2014 to 2018 are: 2014 2015 2016 2017 2018 Stock return 20.00% 13.60% 24.00% 33.60% 10.40% Given the preceding data, the average realized return on FF’s stock is _______. The preceding data series represents ________ of FF’s historical returns. Based on this conclusion, the standard deviation of FF’s…arrow_forwardQuestion: You are an investment advisor. You currently own two stocks, A and B, with the following characteristics: Expected Return Beta X 10% 0.8 Y 16% 1.5 The current risk-free rate is 2 percent, and the expected return on the market is 12 percent. How would you change your holdings of the two stocks (i.e., for each, would you sell or buy more)? Show your calculations (and explain). Stock A: Stock B:arrow_forward
- a. Calculate both the arithmetic and the geometric average return of the following investment;Year 1 2 3 4Return 10.5% 12.2% -5.5% 2.8%(4 marks)b. Teena is considering investing in Stock A and stock B. She plans to invest $ 25,000 in the low riskstock and $ 50,000 in the high-risk stock. You have been given the following information about thesetwo stocks in the table below:Stock A BE(R) 15% 10? 25% 22%Correlation between A and B 0.20Based on the given information above, you are required to:i. Calculate the portfolio weightsii. Calculate the portfolio return.iii. Calculate the portfolio risk.iv. Compare portfolio risk with the individual stock risks and identify the benefit of thediversification of the portfolio.arrow_forwardDePaul, Inc. You are searching for a stock to add to your current stock portfolio. You are interested in DePaul, Inc. You realize that any time you consider a technology stock, it involves elevated risk. The rule you follow is to include only stocks with a coefficient of variation of returns below 1.02. You have obtained the following price information and dividend information: Year Starting Price Ending price Quarterly Dividend 1 $40.00 $42.00 $0.50 2 $42.00 $47.40 $0.75 3 $47.40 $43.40 $1.00 4 $43.40 $53.40…arrow_forwardRoss Law is presented with a client's problem. They have a portfolio of P10,000 investment in each of 20 different stocks in PSE. Portfolio beta is 1.2. They have decided to sell one of their stock that has a beta of 0.7 for P10,000. They plan to use the proceeds to buy another stock with a beta of 1.4. What will be the new portfolio beta?arrow_forward
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