Question 1: 8 marks The following data are available about the returns of two stocks and market portfolio: Economic State Probability Stock A (%) Stock B (%) Market portfolio (%) Deep Recession 0.05 -3 -2 -13 Mild Recession 0.20 6 9 1 Average 0.50 11 12 15 Mild Boom 0.20 14 15 29 Strong Boom 0.05 19 26 43 Table 1 You are required to: a) Compute the expected return for stocks A and B (2 marks) b) Compute the standard deviation for stocks A and B. Which stock is riskier? (3 marks) c) Compute the expected return of a portfolio that comprises of 70% stock A and 30% stock B (1 mark) d) Compute the standard deviation of returns for the market portfolio (1 mark) e) Which, among stocks A, B and the market is riskier? Respond in light of your computations (1 mark)

Question 1: 8 marks The following data are available about the returns of two stocks and market portfolio: Economic State Probability Stock A (%) Stock B (%) Market portfolio (%) Deep Recession 0.05 -3 -2 -13 Mild Recession 0.20 6 9 1 Average 0.50 11 12 15 Mild Boom 0.20 14 15 29 Strong Boom 0.05 19 26 43 Table 1 You are required to: a) Compute the expected return for stocks A and B (2 marks) b) Compute the standard deviation for stocks A and B. Which stock is riskier? (3 marks) c) Compute the expected return of a portfolio that comprises of 70% stock A and 30% stock B (1 mark) d) Compute the standard deviation of returns for the market portfolio (1 mark) e) Which, among stocks A, B and the market is riskier? Respond in light of your computations (1 mark)

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)

7th Edition

ISBN:9780357033609

Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk

Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk

Chapter12: Investing In Stocks And Bonds

Section: Chapter Questions

Problem 4LO

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Question 1 Suppose you have the following expectations about the market condition and the returns on Stocks X and Y. Market Condition Probability Return on Stock X Return on Stock Y Bear Market 0.3 -3% -5% Normal Market 0.5 3% 5% Bull Market 0.2 8% 15% a) What are the expected returns for Stocks X and Y, E(rX) and E(rY)? b) What are the standard deviations of the returns for Stocks X and Y, σX and σY?
Solve for no. 3 only
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 6,647.65
Astromet is financed entirely by common stock and has a beta of 1.20. The firm pays no taxes. The stock has a price-earnings multiple of 11.0 and is priced to offer a 10.9% expected return. The company decides to repurchase half the common stock and substitute an equal value of debt. Assume that the debt yields a risk-free 4.6%. Calculate the following: Required: a. The beta of the common stock after the refinancing b. The required return and risk premium on the common stock before the refinancing c. The required return and risk premium on the common stock after the refinancing d. The required return on the debt e. The required return on the company (i.e, stock and debt combined) after the refinancing If EBIT remains constant: f. What is the percentage increase in earnings per share after the refinancing? g-1. What is the new price-earnings multiple? g-2. Has anything happened to the stock price? Complete this question by entering your answers in the tabs below. Reg A to E Reg F to G2…
Intro We know the following expected returns for stocks A and B, given different states of the economy: State (s) Probability E(rA.s) E(rB,s) -0.1 0.04 0.08 0.05 0.13 0.07 Recession 0.2 Normal 0.5 Expansion 0.3 Part 1 What is the expected return for stock A? 3+ decimals Submit
7
What is Stock X's geometric returns if it has the following returns? Year 1 8% Year 2 - 5% Year 3 10% Year 4 - 6% Year 5 15% a. 4.1%. b. 5.2% c. 6.8% d. 8.5%
Stock A Stock BRate of Return Probability Rate of Return Probability14 0.15 20 0.2016 0.20 18 0.1817 0.30 16 0.3219 0.15 14 0.1420 0.20 10 0.16 a. Calculate the expected return for both stock A and stock B b. Calculate the standard deviation for both stock A and stock B c. Calculate the coefficient of variation for both stock A and stock B.
Directions: Compute the total returns, the average of returns, and the standard deviation of the following stocks: 2) 1) EGRH Inc. DMP, Ltd. AVERAGE OF RETURNS (XI-X)² (x) YEAR AVERAGE OF RETS STOCK RETURN RICE YEA (x₁) Jan-2021 P8.30 Feb-2021 P8.60 Jan-2021 P0.088 Feb-2021 P0.090 Mar-2021 P0.097 Apr-2021 PO.189 May-2021 PO.164 Mar-2021 P9.14 Apr-2021 P13.30 May-2021 P13 Jun-2021 P0.495 Jun-2021 P 0 Jul-2021 PO.280 Jul-2021 6.94 Aug-2021 P0.455 Aug-202 P13.70 Sep-2021 P0.390 Sep-2 P14.88 Oct-2021 P0.375 0 21 P15.30 Nov-2021 PO.325 -2021 P14.30 Dec-2021 P0.330 Dec-2021 P15.52 SD (8) = 3) STOCK RETURN PRICE (x₁) GSM Inc. YEAR Jan-2021 P57.70 Feb-2021 P52.90 Mar-2021 P50.95 Apr-2021 P58.2 May-2021 P7 05 Jun-2021 34.75 Jul-2021 P85.00 Aug-20 P105.00 Sep-21 P114.00 O 2021 P101.00 N-2021 P100.40 Dec-2021 P113.80 SD (8) = STOCK RETURN CE (x₁) AVERAGE OF RETINS ²) (x₁-x)² SD (8) = ACEE, Inc. YEA Jan-2021 P156 Feb-2021 P20.80 Mar-2021 P22.50 Apr-2021 P18.90 May-2021 P17 Jun-2021 P76 Jul-2021…
Based on the following information, calculate the expected return and standard deviation for Stock A and Stock B. Input area: State Probability Stock A Stock B Recession 0.15 0.04 (0.17) Normal 0.55 0.09 0.12 Boom 0.30 0.17 0.27 (Use cells A6 to D9 from the given information to complete this question.) Output area: Stock A Probability Return Product Return deviation Squared deviation Product Recession Normal Boom B э O Standard deviation Stock B 2 Recession 3 Normal 4 Boom 5 26 Standard Deviation 27 28 E(R) Variance Probability Return Product Return deviation Squared deviation Product E(R) Variance
financial advisor evaluates four stocks for inclusion in an investor's portfolio. A orrelation matrix showing each stock's correlation with the other stocks is shown below Stock ALK CMN BTY DLE ALK 0.40 0.58 1.00 -0.25 BTY 0.40 1.00 0.16 -0.04 CMN -.25 .16 1.00 .37 DLE .58 .04 .37 1.00 f the goal is to reduce the investor's overall portfolio risk, which two stocks should the advisor recommend? a. ALK and DLE b. ALK and CMN c. BTY and DLE BTY and CM