Stock 1 Stock 2 Realized Realized Year End Return Return 2004 20.1% -14.6% 2005 72.7% 4.3% 2006 -25.7% -58.1% 2007 56.9% 71.1% 2008 6.7% 17.3% 2009 17.9% 0.9% Suppose you have a portfolio that is made up of 70% investments in Stock 1 and 30% investments in Stock 2. Compute:
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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.
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- 3. Stocks A and B have the following historical returns: Year Stock A return Stock B return2004 (24.25%) 5.5%2005 18.5% 26.73%2006 38.67% 48.25%2007 14.33% (4.5%)2008 39.13% 43.86% a) Calculate the average rate of return for each stock during the period 2004 through 2008. Assume that someone held a portfolio consisting of 50% of Stock A and 50% of Stock What would the realized rate of return on the portfolio have been in each year from 2004 through 2008? What would the average return on the portfolio have been during that period? b) Calculate the standard deviation of returns for each stock and for the portfolio. c) Looking at the annual returns on the two stocks, would you guess that the correlation coefficient between the two stocks is closer to +0.8 or to –0.8? d) If more randomly selected stocks had been included in the portfolio, which of the following is the most accurate statement of what would have happened to p? I. p would have remained constant. II. p would have been in the…Find the annualized holding rate of return and the average rate of return for a stock that returned -30% in year 1 and +30% in year 2. Annualized holding rate of return = -7.00% A. -9.00% B. -15.00% C. 0.00%Returns on stocks X and Y are listed below: Period 1 2 3 4 5 6 7 Stock X -1% -1% 9% 9% 1% -2% 5% Stock Y -3% 4% 12% -4% 5% 4% 5% Consider a portfolio of 20% stock X and 80% stock Y. What is the mean of portfolio returns?
- Please answer d part Question 3. Stocks A and B have the following historical returns:Year Stock A return Stock B return2004 (24.25%) 5.5%2005 18.5% 26.73%2006 38.67% 48.25%2007 14.33% (4.5%)2008 39.13% 43.86% a) Calculate the average rate of return for each stock during the period 2004 through 2008. Assume that someone held a portfolio consisting of 50% of Stock A and 50% of StockWhat would the realized rate of return on the portfolio have been in each year from 2004 through 2008? What would the average return on the portfolio have been during that period?b) Calculate the standard deviation of returns for each stock and for the portfolio.c) Looking at the annual returns on the two stocks, would you guess that the correlation coefficient between the two stocks is closer to +0.8 or to –0.8?d) If more randomly selected stocks had been included in the portfolio, which of the following is the most accurate statement of what would have happened to p?I. p would have remained constant.II.…You have gathered the following information on your investments. What is the expected return on the portfolio? Stock Number of Shares Price per Share Expected Return F 340 $ 43 13.44 % G 330 $ 29 10.20 % H 270 $ 55 10.68 % 12.06%Review the following market information: Current Stock Market Return 11.25% Current T-Bill Price $979.43 Historic T-Bill Average Return 2.80% Historic Stock Market Average Return 8.10% Stock Beta 1.23 What is the required return (rounded to two places)?
- Assume these are the stock market and Treasury bill returns for a 5-year period: T-Bill Return Year Stock Market Return (8) (8) 2016 32.50 0.07 2017 11.80 0.07 2018 -2.40 0.07 2019 13.70 0.25 2020 22.40 0.27 Required: a. What was the risk premium on common stock in each year? b. What was the average risk premium? c. What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) Complete this question by entering your answers in the tabs below. Required A Required B Required C What was the risk premium on common stock in each year? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Negative values should be entered with a negative sign.. Year Risk Premium 2016 % 2017 % 2018 % 2019 % 2020 %Stocks A and B have the following historical returns: Year Stock A return Stock B return 2004 (24.25%) 5.5% 2005 18.5% 26.73% 2006 38.67% 48.25% 2007 14.33% (4.5%) 2008 39.13% 43.86% Calculate the standard deviation of returns for each stock and for the portfolio.what are the two type parts of most stocks expected total return? if D1=$2.00, g= 6% and po $40.00, what are the stocks expected dividend yield, capital gains yield, and total expected return for the coming year?
- Directions: Compute the returns, average of returns and standard deviation of the following stocks and the PSEI. 1. 2. AGI SM Year Stock Return x x (x--x)² Year Stock Return x x (x-x)² Price Price 30/1/2014 27.100 30/1/2014 704.500 28/2/2014 30.000 28/2/2014 694.000 31/3/2014 28.500 31/3/2014 705.000 30/4/2014 31.150 30/4/2014 725.000 30/5/2014 29.650 30/5/2014 786.000 30/6/2014 29.100 30/6/2014 816.000 31/7/2014 26.350 31/7/2014 797.000 29/8/2014 24.600 29/8/2014 772.000 30/9/2014 26.000 30/9/2014 803.500 31/10/2014 25.300 31/10/2014 783.500 28/11/2014 24.800 28/11/2014 804.500 29/12/2014 22.550 29/12/2014 815.000 PSEI Year Stock Return x X (x-X)? 30/6/2014 6,844.31 Price 31/7/2014 6,864.82 30/1/2014 6,041.19 29/8/2014 7,050.89 3. 28/2/2014 6,424.99 30/9/2014 7,283.07 31/10/2014 7,215.73 31/3/2014 6,428.71 28/11/2014 7,294.38 30/4/2014 6,707.91 29/12/2014 7,230.57 30/5/2014 6,647.65a) Consider these three stock returns with the following annualised characteristics: Stock A Stock B Stock C Expected Return 16% 10% 3% Stock A Stock B Stock C Standard deviation 26% 22% 11% Stock A 1 0.4 0.2 According to the Capital Asset Pricing Model (CAPM), which stock is a better buy, when the market's expected return is 8%, and risk-free rate is 4%? What is the alpha of each stock? Plot the Security Market Line (SML) and each stock's risk-return point on one graph. b) Now suppose that the same stock returns have the following correlation matrix: Beta Stock B 1.5 1.1 0.3 1 0.3 Stock C 1 Weights 55% 35% 10% If we form a three-stock portfolio by investing 55%, 35% and 10% in Stock A, B and C, respectively, what is the expected return and variance of this portfolio?Suppose your expectations regarding the stock price are as follows: State of the Market Probability Ending Price HPR (includingdividends) Boom 0.30 $ 140 53.5 % Normal growth 0.28 110 17.5 Recession 0.42 80 −12.0 Use the equations E(r)=Σsp(s)r(s)E(r)=Σsp(s)r(s) and σ2=Σsp(s) [r(s)−E(r)]2σ2=Σsp(s) [r(s)−E(r)]2 to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculations. Round your answers to 2 decimal places.)