A stock is in equilibrium if its expected return its required return. In general, assume that markets and stocks are in equilibrium (or fairly valued), but sometimes investors have different opinions about a stock's prospects and may think that a stock is out of equilibrium (either , Stock B is undervalued or overvalued). Based on the analyst's expected return estimates, Stock A is and Stock C is in equilibrium and fairly valued.
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- From the following information, calculate covariance between stocks A and B and expected return and risk of a portfolio in which A and B are equally weighted.Which stock would be recommend if investment in individual stock is to be made? Justify answer using numerical calculations. Stock A Stock B Expected return 24% 35% Standard deviation 12% 18% Coefficient of correlation 0.65 0.65Keith holds a portfolio that is invested equally in three stocks (wDwD = wAwA = wIwI = 1/3). Each stock is described in the following table: Stock Beta Standard Deviation Expected Return DET 0.7 25% 8.0% AIL 1.0 38% 10.0% INO 1.6 34% 13.5% An analyst has used market- and firm-specific information to make expected return estimates for each stock. The analyst’s expected return estimates may or may not equal the stocks’ required returns. The risk-free rate [rRFrRF] is 6%, and the market risk premium [RPMRPM] is 4%. Use the following graph with the security market line (SML) to plot each stock’s beta and expected return. (Note: Click on the points on the graph to see their coordinates.) Stock DETStock AILStock INO00.20.40.60.81.01.21.41.61.82.020181614121086420RATE OF RETURN (Percent)RISK (Beta) A stock is in equilibrium if its required return its expected return. In general, assume that markets and stocks are in equilibrium (or fairly valued),…From the following information, calculate covariance between stocks A and B and expected return and risk of a portfolio in which A and B are equally weighted.Which stock would be best recommend if investment in individual stock is to be made? Justify the answer using numerical calculations. Stock A Stock B Expected return 24% 35% Standard deviation 12% 18% Coefficient of correlation 0.65
- The following table represents the rate of returns of two stocks in different economic conditions along with their probabilities (the data are also uploaded on moodle) RATES OF RETURN ON STOCKS EXPECTED ECONOMIC PROBABILITY STOCK A STOCK B CONDITIONS RECESSION 0.55 -0.04 -0.02 STABLE 0.35 0.25 0.30 EXPANDING 0.10 0.15 0.20 Answer the following by using mathematical calculations: a) Calculate the expected rate of return for each stock respectively. Explain what the expected value implies. b) Calculate the standard deviation for each stock respectively. Explain what the standard deviation implies. c) If you were an investor in which stock you were going to invest? Justify your answer. d) Calculate the covariance between Stock A and stock B. Discuss. e) Calculate the expected return and the standard deviation of the portfolio consisting 40% in stock A and 60% in stock B. f) Discuss the risk and return associated with investing i All of your funds in stock A ii. All of your funds in stock…You are given the following probability distribution of returns for a stock. Use the data to calculate the expected return, standard deviation of returns, and coefficient of variation of returns for the stock. Report the CV to 4 decimal places (13.36% = 0.1336). Return Probability 8.0% 0.20 10.0% 0.10 12.0% 0.40 15.0% 0.20 16.0% 0.10Ahmed observed the following data of two stocks as shown in the below table. Which stock do you advise Ahmed to select according to the required rate of return? And explain why? Stock A Stock B Market Standard Deviation Return 30% 30% 22% Correlation Coefficient between A & M -30% Correlation Coefficient between B & M 30% Expected Market Return 11% Risk-Free rate of return 5%
- You are given the returns for the following three stocks: Stock B Stock C Stock A 14.00% 14.00% -19.00% 14.00 14.00 34.00 14.00 22.00 37.00 14.00 14.00 14.00 4.00 Year 1 2 3 4 5 7.00 13.00 Calculate the arithmetic return, geometric return, and standard deviation for each stock. Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Arithmetic return Standard deviation Geometric return Stock A 14.01 % 0.00 % 14.01 % Stock B 14.00 % 14.01 % Stock C 14.00 % 14.02 %You are given the following information concerning a stock and the market Year 2017 2018 2019 2020 2021 2022 Returns Market 18% 11 12 -14 37 15 Correlation Beta a. Calculate the average return and standard deviation for the market and the stock. Note: Use Excel to complete the problem. Enter your answers as a percent rounded to 2 decimal places. Average return Standard deviation Stock 34% 27 3 -21 16 22 Market % Stock % % b. Calculate the correlation between the stock and the market, as well as the stock's beta. Note: Use Excel to complete the problem. Round your correlation answer to 2 decimal places and beta answer to 4 decimal places.You are considering two stocks and have determined the following information: Stock A The return on Stock A: The return on Stock B: Standard deviation of Stock A: Standard deviation of Stock B: a. Which of the two stocks has the higher expected return? Round your answers to two decimal places. % Stock B % -Select- Return 30% 16 13 Return 35% 12 9 -Select- ✓has the higher expected return. b. Which stock is riskier? Do not round intermediate calculations. Round your answers to two decimal places. -Select- ✓is riskier. c. Given your answers to the two previous questions, what stock is preferred? ✓is preferred. Probability of the Return 25% 55 20 Probability of the Return 30% 20 50
- Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Common Stock B Probability Return Probability Return 0.25 13% 0.25 −7% 0.50 14% 0.25 7% 0.25 18% 0.25 16% 0.25 23% (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. Given the information in the table, the expected rate of return for stock A is enter your response here %. (Round to two decimal places.) Part 2 The standard deviation of stock A is enter your response here %. (Round to two decimal places.) Part 3 b. The expected rate of return for stock B is enter your response here %. (Round to two decimal places.) Part 4 The standard deviation for stock B is enter…(Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.25 0,50 0.25 Probability 0.10 0.40 0.40 0.10 (Click on the icon in order to copy its contents into a apreadsheet) Common Stock B Return 10% 17% 18% Return -4% 7% 13% 20% G a. Given the information in the table, the expected rate of return for stock A is 15.5% (Round to two decimal places) The standard deviation of stock A is (Round to two decimal places.)A close family friend has approached you to help her determine which of the two common stocks she should invest in. Common Stock A Common stock B Probability Return Probability Return 0.25 11% 0.25 -5% 0.15 15% 0.25 6% 0.6 19% 0.25 14% 0.25 22% Required: Calculate the expected returns of stock A Determine the risk (standard deviation) and return of stock A Calculate the expected returns of stock B Determine the risk (standard deviation) and return of stock B Which investment should your friend invest in?