### Stock Analysis and Risk-Return Calculation**Problem Statement:**Two stocks, one high risk (Happy) and one low risk (Lonely), have been evaluated by your company. Your stock analysis team has predicted estimated returns and beta risk in the table below for the two stocks and the market. Using this information, and the CAPM model, draw the risk-return graph, with the security market line, and place the Est(R) and the CAPM required rate of return in their appropriate places on the graph. Indicate on the graph why Happy and Lonely are either over-valued or under-valued. Provide your answer in the uploaded document.#### Data Table:| | Est(R) | Beta ||---------------|--------|------|| Market | 26 | 1.00 || Happy | 33 | 1.20 || Lonely | 14 | 0.75 |The risk-free rate is 3%.#### Explanation:1. **CAPM (Capital Asset Pricing Model) Formula:** \[ \text{CAPM Required Rate of Return} = R_f + \beta \times (R_m - R_f) \] Where: - \( R_f \) is the risk-free rate - \( \beta \) is the beta of the stock - \( R_m \) is the market return2. **Security Market Line (SML):** The SML plots the relationship between the expected return of an investment and its risk (represented by beta). The y-axis represents the expected return, and the x-axis represents beta.3. **Graph Details:** - **X-Axis:** Beta (Risk) - **Y-Axis:** Expected Return - **Plot Points:** - Market: (Beta = 1.00, Est(R) = 26) - Happy: (Beta = 1.20, Est(R) = 33) - Lonely: (Beta = 0.75, Est(R) = 14)4. **Steps to Determine Over-Valued or Under-Valued:** - Calculate the CAPM required rate of return for Happy and Lonely. - Compare these to their estimated returns (Est(R)). - Plot these points on the risk-return graph. - Points above the SML indicate an under-valued stock (higher than required

Est (R)BetaMarket261.00Happy0.331.20Lonely0.140.75The Risk-Free rate is 3%

26. Two stocks, one high risk (Happy) and one low risk (Lonely), have been evaluated by your company. Your stock analysis team has predicted estimated returns and beta risk in the table below for the two stocks and the market. Using this information, and the CAPM model, draw the risk-return graph, with the security market line, and place the Est(R) and the CAPM required rate of return in their appropriate places on the graph and indicate to me on the graph why Happy and Lonely are either over-valued or under-valued. Provide your answer in the uploaded document. Est(R) Market Happy Lonely 26 33 The risk-free rate is 3% Beta 1.00 1.20 0.75

26. Two stocks, one high risk (Happy) and one low risk (Lonely), have been evaluated by your company. Your stock analysis team has predicted estimated returns and beta risk in the table below for the two stocks and the market. Using this information, and the CAPM model, draw the risk-return graph, with the security market line, and place the Est(R) and the CAPM required rate of return in their appropriate places on the graph and indicate to me on the graph why Happy and Lonely are either over-valued or under-valued. Provide your answer in the uploaded document. Est(R) Market Happy Lonely 26 33 The risk-free rate is 3% Beta 1.00 1.20 0.75

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Q1: Explain the meaning and significance of a stock's beta coefficient. Illustrate your explanation by drawing, on one graph, the characteristic lines for stocks with low, average, and high risk. (Hint: Let your three characteristic lines intersect at r_i=r_m=6%, the assumed risk-free rate.) Q2: Define the following terms, using graphs or equations to illustrate your answers where feasible. a) Risk, stand-alone risk b) Expected rate of return c) standard deviation, variance d) risk premium for stock i, market risk premium e) Capital Asset Pricing Model (CAPM) f) Expected return on a portfolio g) market risk, diversifiable risk h) Beta i) Security Market Line; SML equation j) Slope of SML and its relationship to risk aversion. Q3. Differentiate between (a) stand-alone risk and (b) risk in a portfolio context. How are they measured, and are both concepts relevant for investors? Q4. Can an investor eliminate market risk from a portfolio of common stocks? How many stocks must a portfolio…
(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 0.20 0.60 0.20 Probability 0.15 0.35 0.35 0.15 (Click on the icon in order to copy its contents into a spreadsheet.) Common Stock B Return 13% 14% 18% Return - 6% 7% 15% 21% a. Given the information in the table, the expected rate of return for stock A is 14.6 %. (Round to two decimal places.) The standard deviation of stock A is %. (Round to two decimal places.)
(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.)
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 0.35 13% 0.25 −7% 0.30 17% 0.25 8% 0.35 21% 0.25 15% 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.)
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…
K (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 0.20 0.60 0.20 Common Stock B Return 13% 17% 18% Probability 0.10 0.40 0.40 0.10 (Click on the icon in order to copy its contents into a spreadsheet.) Return -7% 5% 16% 21% www a. Given the information in the table, the expected rate of return for stock A is 16.40 %. (Round to two decimal places.) The standard deviation of stock A is 1.74 %. (Round to two decimal places.) b. The expected rate of return for stock B is 9.8 %. (Round to two decimal places.) The standard deviation for stock B is 6.12 %. (Round to two decimal places.)
Suppose that you observe the following information in Table 2 for stocks A and B: Table 2 Expected Return (%) 11% Stock Beta A 0.8 B 14% 1.5 The risk-free rate of return is 6% and the expected rate of return on the market index is 12%. Using the Single-Index Model, calculate the alpha of both stocks. Show your calculations. Explain what the alpha of the single-factor model represents and interpret your results.
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…
The market and Stock J have the following probability distributions: Probability rM rJ 0.3 15.00 % 19.00 % 0.4 10.00 6.00 0.3 18.00 10.00 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 Calculate the expected rate of return for the market. Do not round intermediate calculations. Round your answer to two decimal places.fill in the blank %Calculate the expected rate of return for Stock J. Do not round intermediate calculations. Round your answer to two decimal places.fill in the blank % Calculate the standard deviation for the market. Do not round intermediate calculations. Round your answer to two decimal places.fill in the blank %Calculate the standard deviation for Stock J. Do not round intermediate calculations. Round your answer to two decimal places.fill in the blank %
(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 retum? Common Stock A Probability 0.25 0,50 0:25 Common Stock B Return 10% 17% 10% Probability 0.10 0:40 0:40 010 (Click on the soon in order to copy its contents into a spreadsheet) Return -6% 8% 15% 20% COD 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 4 36% (Round to two decimal places)
Q3) Consider the following two companies and their forecasted returns for the upcoming year: (picture) A. What is the standard deviation of the returns on each company's stock (Company A, and B) (write all formulas). B. Of these two stocks, which is riskier? Justify your answer
2. The expected returns for David’s portfolio were calculated based on three possible conditions in the market. Such conditions will vary from time to time, and for each condition there will be a specific outcome. These probabilities and outcomes can be represented in the form of a continuous probability distribution graph. For example, the continuous probability distributions of rates of return on stocks for two different companies are shown on the following graph: Based on the graph’s information, which of the following statements is true? A. Company A has a smaller standard deviation. B. Company B has a smaller standard deviation.

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