Here are the returns on two stocks. January February March April May June July August Digital Cheese +14 -4 444439 +6 +8 -5 +4 -3 -9 Executive Fruit +2 +12 +6 -4 & Required: a-1. Calculate the variance and standard deviation of each stock. a-2. Which stock is riskier if held on its own? 4 b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. c. Is the variance more or less than halfway between the variance of the two individual stocks?

Here are the returns on two stocks. January February March April May June July August Digital Cheese +14 -4 444439 +6 +8 -5 +4 -3 -9 Executive Fruit +2 +12 +6 -4 & Required: a-1. Calculate the variance and standard deviation of each stock. a-2. Which stock is riskier if held on its own? 4 b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. c. Is the variance more or less than halfway between the variance of the two individual stocks?

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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Here are the percentage returns on two stocks. Digital Executive Fruit Cheese 14% 4% Month January February March April May June July August 6 8 Variance Standard deviation % Digital Cheese 2 4 14 a-1. Calculate the monthly variance and standard deviation of each stock. (Do not round intermediate calculations. Round your answers to 1 decimal places.) -3 47.5 69X Executive Fruit 23 2 4.8 X
Consider the following information: State Probability Stock A Stock B Stock C Boom 0.32 0.09 -0.01 0.01 Bust 0.68 -0.05 0.28 0.03 What is the expected return of a portfolio that has invested $9,981 in Stock A, $6,817 in Stock B, and $2,123 in Stock C? (Hint: calculate weights of each stock first). Enter the answer with 4 decimals (e.g. 0.1234).
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. Answer options: 0.00% 2.49% 6.06% 8.95% 1.30%
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. A B C Po 82 42 84 00 100 200 200 Divisor P1 87 37 94 01 100 200 200 P2 87 37 47 92 100 200 400 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). (Do not round intermediate calculations. Round your answer to 2 decimal places.) Rate of return I % b. What will be the divisor for the price-weighted index in year 2? (Do not round intermediate calculations. Round your answer to 2 decimal places.) D c. Calculate the rate of return of the price-weighted index for the second period (t=1 to t = 2).
USE THE FOLLOWING DATA FOR QUESTIONS 4-6: A portfolio is equally invested in Stock A, Stock B, Stock C, and Treasury Bills (25% each). The expected returns of each of these holdings is 4.8%, 11.2%, 18.6%, and 3.0%, respectively. The Betas for each of the stocks is as follows: A 0.4, B 1.8, and C 2.6. Q6: Based on your answers to questions 4 and 5, assuming an expected return of the market of 8.5%, should you invest in this portfolio from a risk/reward perspective? Multiple Choice O O Yes No
(10). The table below presents the price of stock A and the points of a market index over the last four moths. Month 1 3 4 A 100 105 108 103 1112 1150 1200 1190 a. The holding period logarithmic return of stock A equals: A. 12%; B. 8.85%; C. 13,97%; D. b. The beta coefficient of stock A equals: A. 0,64; B. 0,19; C. 1,64; D. ...... % c. The estimated alpha coefficient from the market model equals d. The coefficient of determination from the market model equals
Consider the following information: State Probability Stock A Stock B Stock C Boom 0.32 0.17 -0.11 -0.06 Bust 0.68 -0.03 -0.01 0.23 What is the expected return of a portfolio that has invested $16,157 in Stock A, $19,654 in Stock B, and $9,659 in Stock C? (Hint: calculate weights of each stock first). Enter the answer with 4 decimals (e.g. 0.1234).
The following are estimates for two stocks. Firm- Specific Expected Standard Stock Return Beta Deviation A 14% 0.90 30% B 21 1.40 42 The market index has a standard deviation of 20% and the risk-free rate is 7%. Required: a. What are the standard deviations of stocks A and B? b. Suppose that we were to construct a portfolio with proportions: Stock A Stock B T-bills 0.30 0.45 0.25 Compute the expected return, beta, nonsystematic standard deviation, and standard deviation of the portfolio.
Suppose you are given the following information about 2 stocks, what is the return standard deviation of a portfolio weighted 55% in stock A and 45% in stock B? E(RA)=16% E(RB)=8% σA=22% σB=12% σA,B=−0.003696 Enter rate in decimal form, rounded to 4th digit, as in "0.1234"
Suppose you are given the following information about 2 stocks, what is the expected return of a portfolio weighted 55% in stock A and 45% in stock B? E(RA)=16% E(RB)=8% σA=22% σB=12% σA,B=−0.003696 Enter rate in decimal form, rounded to 4th digit, as in "0.1234"
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 %
Please answer all parts with explanations thx

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