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Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
You have invested in a portfolio of two stocks.
Stock A is expected to produce a 7% return next year; the risk factor is 2.5% (standard deviation of the return).
Stock B is expected to produce an 15.5% return next year; the risk factor is 8% (standard deviation of the return).
Your portfolio includes 60% of Stock A and 40% of Stock B.
Compute the expected return of the portfolio.
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- You have invested in a portfolio of two stocks. Stock A is expected to produce a 7% return next year; the risk factor is 2.5% (standard deviation of the return). Stock B is expected to produce an 15.5% return next year; the risk factor is 8% (standard deviation of the return). Your portfolio includes 60% of Stock A and 40% of Stock B. Compute the expected return of the portfolio. Compute the standard deviation of the portfolio if the Correlation Coefficient is +1.0 Compute the standard deviation of the portfolio if the Correlation Coefficient is 0.0 Compute the standard deviation of the portfolio if the Correlation Coefficient is -1.0 Use the Standard Deviation of the PortfolioYou have invested in a portfolio of two stocks. Stock A is expected to produce a 7% return next year; the risk factor is 2.5% (standard deviation of the return). Stock B is expected to produce an 15.5% return next year; the risk factor is 8% (standard deviation of the return). Your portfolio includes 60% of Stock A and 40% of Stock B. Compute the standard deviation of the portfolio if the Correlation Coefficient is -1.0You are examining a portfolio consisting of three stocks. Using the data in the table a. Compute the annual returns for a portfolio with 25% invested in North Air, 25% invested in West Air, and 50% invested in Tex Oil. b. What is the lowest annual return for your portfolio in part (a)? How does it compare with the lowest annual return of the individual stocks or portfolios in the table above. a. Compute the annual returns for a portfolio with 25% invested in North Air, 25% invested in West Air, and 50% invested in Tex Oil. The annual return for 2014 will be: (Round to two decimal places.) Year 2014 Year 2016 North Air 21% Year 2018 North Air The annual return for 2015 will be: (Round to two decimal places.) Year 2019 29% 6% Year 2015 The annual return for 2016 will be: (Round to two decimal places.) North Air North Air West Air West Air -6% 8% North Air -1% West Air North Air 21% 8% 6% The annual return for 2017 will be: (Round to two decimal places.) West Air Year 2017 The annual…
- a) Assume that you bought 200 stock B in your portfolio for total investment of $1200, now the market price of the stock is $75, the dividend paid for this stock is $2 each year. How much is the capital gain of this stock? b) Assume that the following data available for the portfolio, calculate the expected return, variance and standard deviation of the portfolio given stock A accounts for 45% and stock B accounts for 55% of your portfolio? A B Expected return 12.50% 18.50% Standard Deviation of return 15% 20% Correlation of coefficient (p) 0.4Assume you wish to construct a portfolio by investing $4000 in Stock A which has a return of 6% and a standard deviation of 10%. In the portfolio, you will also invest $6000 in stock B which has a return of 20% and a standard deviation of 13%. Assuming that the returns on stock A and on stock B have a correlation coefficient of 0.7, what is the portfolio expected return?Assume that you bought 200 stock B in your portfolio for total investment of $1200, now the market price of the stock is $75, the dividend paid for this stock is $2 each year. How much is the capital gain of this stock? Assume that the following data available for the portfolio, calculate the expected return, variance and standard deviation of the portfolio given stock A accounts for 45% and stock B accounts for 55% of your portfolio? A B Expected return 12.5% 18.5% Standard Deviation of return 15% 20% Correlation of coefficient (p) 0.4
- Consider the following six months of returns for two stocks and a portfolio of those two stocks: (Click the icon to view the monthly returns.) Note: The portfolio is composed of 50% of Stock A and 50% of Stock B. a. What is the expected return and standard deviation of returns for each of the two stocks? b. What is the expected return and standard deviation of returns for the portfolio? c. Is the portfolio more or less risky than the two stocks? Why? a. What is the expected return and standard deviation of returns for each of the two stocks? The expected return of Stock A is 0%. (Round to one decimal place.) The expected return of Stock B is 1%. (Round to one decimal place.) The standard deviation of Stock A is 0.04195. (Round to five decimal places.) (Round to five decimal places.) The standard deviation of Stock B is Monthly Returns Stock A Stock B Portfolio Jan 1% 0% 0.5% Feb 4% - 3% 0.5% D Mar -7% 8% ..... 0.5% Apr 2% - 1% 0.5% May - 3% 4% 0.5% Jun 3% - 2% 0.5% WOCHE X ansConsider the following six months of returns for two stocks and a portfolio of those two stocks: (Click the icon to view the monthly returns.) Note: The portfolio is composed of 50% of Stock A and 50% of Stock B. a. What is the expected return and standard deviation of returns for each of the two stocks? b. What is the expected return and standard deviation of returns for the portfolio? c. Is the portfolio more or less risky than the two stocks? Why? a. What is the expected return and standard deviation of returns for each of the two stocks? The expected return of Stock A is %. (Round to one decimal place.) Monthly Returns Stock A Stock B Portfolio Jan 3% 0% 1.5% Feb 6% - 3% 1.5% Mar - 5% 8% 1.5% Apr 4% - 1% 1.5% May - 1% 4% 1.5% Jun 5% - 2% 1.5% n XUsing the data in the following table, consider a portfolio that maintains a 60% weight on stock A and a 40% weight on stock B. a. What is the return each year of this portfolio? b. Based on your results from part (a), compute the average return and volatility of the portfolio. c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.9. d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks. a. What is the return each year of this portfolio? Enter the return of this portfolio for each year in the table below: (Round to two decimal places.) Year 2012 Portfolio % 2010 % 2011 % b. Based on your results from part (a), compute the average return and volatility of the portfolio. The average return of the portfolio is%. (Round to two decimal places.) 2013 % 2014 % 2015 % The…
- Based on the table below, you invested 40% on Stock A and B and 20% on Stock Calculate the expected return on this portfolio. Year Expected rate of returns Stock A Stock B Stock C 1 0.18 0.13 0.05 2 0.17 0.12 0.10 3 0.02 0.07 0.13 4 0.12 0.09 0.16 5 0.12 0.08 0.28 Please give the full step of the calculation.You own a portfolio that has $2,600 invested in Stock A and $3,700 invested in Stock B. Assume the expected returns on these stocks are 11 percent and 17 percent, respectively. What is the expected return on the portfolio?You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its net are summarized below. 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 18% and that the risk-free rate is 6%. Stock A, Investment = $188,000, Beta=1.50, Stock B, Investment = $282,000, Beta =0.50, Stock C, Investment = $470,000, Beta = 1.30 Beta of the portfolio ? Expected rat of return ? %