10. Assume the rate of return given below are for two stocks listed on the GhanaStock Exchange (GSE).YearReturn on stock AReturn on stock B10.20.30.100.130.140.1840.050.000.01-0.08Calculate the arithmetic average return on the two stocks over the 5-yearperiod.ii.i.Which of the two stocks has a greater dispersion around the mean?Calculate the geometric average returns of each stock.iii.

Arithmetic average can be calculated by sum of all divided by number of returns.

Answered: 1 0.2 0.3 2 0.10 0.1 3 0.14 0.18 4 0.05…

1 0.2 0.3 2 0.10 0.1 3 0.14 0.18 4 0.05 0.00 5 0.01 -0.08 i. Calculate the arithmetic average return on the two stocks over the 5-

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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The table below presents the returns on stocks ABC and XYZ for a five-year period. Year ABC XYZ 1 0.16 0.12 2 0.42 0.62 3 -0.02 -0.23 4 -0.26 -0.62 5 0.48 0.52 Calculate the average return, and standard deviation of stock ABC and XYZ. Also calculate the correlation between the two stocks. What does the correlation tell you about the return movements of the two stocks? Calculate the weight of each stock in the minimum variance portfolio, assume the expected return equals to average return for each stock. Find the mix of stocks ABC and XYZ that gives a portfolio on the efficient frontier AND demonstrate why this portfolio is on the efficient frontier by showing that there exists another portfolio of stocks ABC and XYZ that has the same level of risk (portfolio standard deviation) but inferior return. Hint: manipulate the weights you get from part b. Suppose the risk-free rate is 6%. Also assume the…
Consider the rate of return of stocks ABC and XYZ. Year rABC rXYZ 1 20 % 28 % 2 8 11 3 16 19 4 4 1 5 2 −9 a. Calculate the arithmetic average return on these stocks over the sample period. b. Which stock has greater dispersion around the mean return? A. ABC B. XYZ c. Calculate the geometric average returns of each stock. What do you conclude? (Do not round intermediate calculations. Round your answers to 2 decimal places.) d. If you were equally likely to earn a return of 20%, 8%, 16%, 4%, or 2%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.) e. What if the five possible outcomes were those of stock XYZ? f. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance? A. Arithmetic B. Geometric
Consider the following average annual returns for Stocks A and B and the Market. Which of the possible answers best describes the historical betas for A and B? Years Market Stock A Stock B 1 0.03 0.16 0.05 2 −0.05 0.20 0.05 3 0.01 0.18 0.05 4 −0.10 0.25 0.05 5 0.06 0.14 0.05 a. bA > +1; bB = 0. b. bA = 0; bB = −1. c. bA < 0; bB = 0. d. bA < −1; bB = 1. e. bA > 0; bB = 1.
Consider the rate of return of stocks ABC and XYZ. Year rABC rXYZ 1 20 % 28 % 2 8 11 3 16 19 4 4 1 5 2 −9 (PLEASE SKIP THE FIRST THREE QUESTIONS) a. Calculate the arithmetic average return on these stocks over the sample period. b. Which stock has greater dispersion around the mean return? multiple choice A. ABC B. XYZ c. Calculate the geometric average returns of each stock. What do you conclude? (Do not round intermediate calculations. Round your answers to 2 decimal places.) d. If you were equally likely to earn a return of 20%, 8%, 16%, 4%, or 2%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.) e. What if the five possible outcomes were those of stock XYZ? f. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future…
Consider the three stocks in the following table. Pt represents price at time t, Qt represents shares outstanding at time t. Stock C splits two for one in the second period from t=1 to t=2. Calculate the rate of return on a price-weighted index consisting of the three stocks for the first period from t=0 to t=1. Answer in percentage. Stock P0 Q0 P1 Q1 P2 Q2 A 70 475 75 475 75 475 B 45 850 40 850 40 850 C 50 300 60 300 30 600 a. 0.00% b. 2.49% c. 6.06% d. 8.95% e. 1.30%
Problem: 1. Given six years of percentage return of Stock A and Stock B, identify the expected return, and risk of each instrument. Assume that each year, has equal chances of reoccurrence. Stock A Stock B 20X1 10 20 20X2 -15 -20 20X3 20 -10 20X4 25 30 20X5 -30 -20 20X6 20 60 a. Which of the two stocks is riskier? Why? b. Which of the stocks is expected to yield a higher return? Why? c. Where will you invest? Problem Solving: 1. Suppose you want to buy 10,000 shares of MegaWorld Corporation at a price of 4.00. You put up P10,000 and borrow the rest. What does your account balance sheet would look like? What is your margin? 2. Supposed that in the previous problem you shorted 10,000 shares instead of buying. The initial margin is 60 percent. What does the account balance sheet look like? 3. You deposited P100,000 cash in brokerage account and short sell P200,000 of stocks on margin.…
Consider the three stocks in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t. Stock C splits two for one in the last period. P0 Q0 P1 Q1 P2 Q2 A 110 500 115 500 115 500 B 90 600 85 600 85 600 C 80 600 100 600 50 1,200 a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t = 0 to t = 1). (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. Calculate the new divisor for the price-weighted index in year 2. (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. Calculate the rate of return for the second period (t = 1 to t = 2).
Consider the three stocks in the following table. P, represents the price at time t, and Q, represents the total shares outstanding at time t. Calculate the rate of return on a price-weighted index of three stocks for the first period (t=0 to t=1). Table 2: Data for Q4 & Q5 Q0 P1 Q1 PO 100 50 105 50 A B 200 100 210 100 C 300 100 250 100
Based on the following information: State of Economy Probability of State of Economy Return on Stock J Return on Stock K Bear .20 -.030.024 Normal .55.128.052 Bull .25 .208.082 a. Calculate the expected return for each of the stocks. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation for each of the stocks. ( Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g , 32.16.) c. What is the covariance between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) d. What is the correlation between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., .1616.)
Consider the three stocks in the following table. Pe represents price at time t, and Qe represents shares outstanding at time t Stock C splits two for one in the last period. Stock A B С PO 80 85 35 20 275 650 950 a. Rate of return b. New divisor c. Rate of return P1 85 80 50 01 275 650 950 % P₂ Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t=0 to t= 1). Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b. Calculate the new divisor for the price-weighted index in year 2. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c. Calculate the rate of return for the second period (t=1 to t=2). Note: Round your answer to 2 decimal places. % 85 80 25 02 275 650 1,900
The table given below reports last five years data on rates of return on two stocks. Calculate and give the final answer. Year Stock A Stock B 21 |-.05 |-.09 15 -.12 .05 4 14 10 5 .11 15 1. Arithmetic mean for both the stocks. 2. Standard deviation for both stocks 3. Covariance 4. Correlation coefficient. 2. 3.
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 5.0% + 1.30RM + eA RB= -2.0% + 1.6RM + eB sigmaM= 20% ; R-squareA= 0.20 ; R-squareB= 0.12 What is the standard deviation of each stock (write as percentage, rounded to 2 decimal places)?

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