Concept explainers
a)
To discuss:
Actual return of portfolio.
Introduction:
Portfolio return: In financial context; portfolio return is seen as percentage that represents the profit on a portfolio of investments.
b)
To discuss:
Average returns
Introduction:
Return: In financial context, return is seen as percentage that represents the profit in an investment.
Portfolio refers to a set of financial investments such as debentures, stocks, bonds and mutual funds owned by the investor.
c)
To discuss:
Standard deviation.
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 standard deviation measures the volatility of the stock. It measures in absolute terms the dispersion of asset risk around its mean.
d)
To discuss:
Correlation of assets.
e)
To discuss:
Benefits of diversification by creation of portfolio.
Introduction:
Portfolio refers to a set of financial investments such as debentures, stocks, bonds and mutual funds owned by the investor.
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Gitman: Principl Manageri Finance_15 (15th Edition) (What's New in Finance)
- Asset A B C Cost $35,000 $36,000 $39,000 $10,000 Beta at purchase 0.79 0.96 1.49 1.32 Yearly income $1,600 $1,500 SO $250 Value today $35,000 $37,000 $45,500 $10,500arrow_forwarda. 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_forwardJamie Wong is thinking of building an investment portfolio containing two stocks, L and M. Stock L will represent 40% of the dollar value of the portfolio, and stock M will account for the other 60%. The historical returns over the next 6 years, 2013-2018 for each of these stocks are shown in the following table: 2013 16% 22% 2014 17% 21% 2015 19% 20% 2016 21% 19% 2017 22% 18% 2018 23% 17% a. Calculate the actual portfolio return, r Subscript p for each of the 6 years. b. Calculate the expected value of portfolio returns, r overbar Subscript p " over the 6-year period. C. Calculate the standard deviation of expected portfolio returns, sigma Subscript r Sub Subscript p " over the 6-year period. d. How would you characterize the correlation of returns of the two stocks L and M? e. Discuss any benefits of diversification achieved by Jamie through creation of the portfolio.arrow_forward
- Question One Xuemeihas been managing five portfolios for the last year. She has collected the following information and has begun to make several calculations for five two stock portfolios: 1 2 3 4 5 a) b) c) rate of return on NCP = 12% rate of return on NAB = 10% standard deviation of NCP = 15% standard deviation of NAB = 19% covariance = 0.0064 Portfolio Weight in NAB Portfolio Returns 30% 40% 60% 55% 20% Portfolio Variance Portfolio Standard Deviation 3 Assist Xuemei by finishing the calculations for her. That is, complete the missing figures in the table above. Explain to Xuemei why the portfolio standard deviation is not simply the weighted average of the standard deviation of the stocks in the portfolio. Find the weight for NAB that would result in the lowest portfolio variance. Do not restrict your enquiry to the five portfolios.arrow_forwardExcel Online Structured Activity: Historical Return: Expected and Required Rates of Return You have observed the following returns over time: Year Stock X Stock Y Market 2011 14 % 12 % 10 % 2012 20 7 9 2013 -13 -2 -13 2014 3 1 2 2015 19 9 12 Assume that the risk-free rate is 4% and the market risk premium is 6%. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below. Open spreadsheet What is the beta of Stock X? Do not round intermediate calculations. Round your answer to two decimal places. fill in the blank 2 What is the beta of Stock Y? Do not round intermediate calculations. Round your answer to two decimal places. fill in the blank 3 What is the required rate of return on Stock X? Do not round intermediate calculations. Round your answer to one decimal place. fill in the blank 4 % What is the required rate of return on Stock…arrow_forwardAssume that you have opportunity to invest BD 25,000 in one of the following common stock. Year Stock (A) Stock (B) 2019 12% 9% 2018 15% 13% 2017 18% 17% 2016 21% 21% Then you plan to invest in both stocks (A and B) as a portfolio investment and the weight of investment will be as follow: Stock Weight 55% 45% Correlation Required: a. Calculate the expected return for both stock Calculate the expected risk based on standard deviation for both stock Calculate the expected risk based on coefficient variation (CV) Interpret which stock that you would like to invest based on risk and return concept Calculate the expected return of portfolio Calculate the expected risk of portfolio based on standard deviation b. c. d. e. Dell Update f. 8 updates are Installarrow_forward
- Current Attempt in Progress You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized below. Stock A B C Investment $190,000 285,000 475,000 Beta of the portfolio Beta Expected rate of return 1.45 0.60 Calculate the beta of the portfolio and use the Capital Asset Pricing Model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 17 percent and that the risk-free rate is 6 percent. (Round beta answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%.) 1.30 %arrow_forwardQn4: Assume a two-stock portfolio created with $50,000 is invested in both HT and Collections. The expected returns are given below: Calculate the portfolio's return for each state of economy and fill them in the last column, under "Portfolio" (Hint: The portfolio's expected return is a weighted average of the returns of the portfolio's component assets). Calculate the portfolio's expected return (Hint: You have to incorporate the probability distribution of each state of economy). Calculate the portfolio's standard deviation. Economy Recession Below average Average Above average Boom Prob. HT 0.1 -27.0% 0.2 -7.0% 0.4 15.0% 0.2 30.0% 0.1 45.0% Coll 27.0% 13.0% 0.0% -11.0% -21.0% Portfolioarrow_forwardSuppose the return of asset A to D, is given as follows: Asset 2018 2019 2020 2021 A 9% 10% -2 % 15% B 7% 10% 5 % 9% C -11% 20% 12% 8% D 10% 16% -5 % -8% Calculate the expected return of: a. One stock at a time b. Portfolio of A, B & D, and, B, D, & A c. Portfolio of A & B, and, D & B d. Portfolio of all the four stocksarrow_forward
- You have observed the following returns over time: Year Stock X Stock Y Market 2017 14% 12% 13% 2018 21 7 8. 2019 -13 -7 -11 2020 2 3 2021 20 14 Assume that the risk-free rate is 6% and the market risk premium is 5%. a. What are the betas of Stocks X and Y? Do not round intermediate calculations. Round your answers to two decimal places. Stock X: Stock Y: b. What are the required rates of return on Stocks X and Y? Do not round intermediate calculations. Round your answers to two decimal places. Stock X: % Stock Y: % c. What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y? Do not round intermediate calculations. Round your answer to two decimal places. %arrow_forwardHistorical Returns: Expected and Required Rates of Return You have observed the following returns over time: eBook Stock X: % Year 2015 2016 2017 2018 2019 % Stock X 14% 17 -17 2 24 Assume that the risk-free rate is 7% and the market risk premium is 6%. a. What are the betas of Stocks X and Y? Do not round intermediate calculations. Round your answers to two decimal places. % Stock Y 12% 6 -2 3 10 Market 12% 9 Stock Y: b. What are the required rates of return on Stocks X and Y? Do not round intermediate calculations. Round your answers to two decimal places. Stock X: -12 1 17 Stock Y: c. What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y? Do not round intermediate calculations. Round your answer to two decimal places.arrow_forward9. You are considering an investment in either individual stocks or a portfolio of stocks. The two stocks you are researching, Stock A and Stock B, have the following historical returns: Return Year Stock A Stock B 2014 -0.2 -0.05 2015 0.42 0.15 2016 0.2 -0.13 2017 -0.08 0.5 2018 0.25 0.12 a. Calculate the average rate of return for each stock during the 5-year period. b. Suppose you held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would have been the realized rate of return on the portfolio in each year? What would have been the average return on the portfolio during this period? c. Calculate the standard deviation of returns for each stock and for the portfolio.arrow_forward
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