Consider the following information: State of Economy Economy Probability of State of Rate of Return if State Occurs Stock A Stock B Recession 0.20 0.05 -0.20 Normal 0.40 0.10 k 0.10 Boom 0.40 0.13 0.25 ces a. Calculate the expected return for the two stocks. (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Expected return for A Expected return for B % % b. Calculate the standard deviation for the two stocks. (Do not round your intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Standard deviation for A % Standard deviation for B %

Consider the following information: State of Economy Economy Probability of State of Rate of Return if State Occurs Stock A Stock B Recession 0.20 0.05 -0.20 Normal 0.40 0.10 k 0.10 Boom 0.40 0.13 0.25 ces a. Calculate the expected return for the two stocks. (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Expected return for A Expected return for B % % b. Calculate the standard deviation for the two stocks. (Do not round your intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Standard deviation for A % Standard deviation for B %

Managerial Accounting

15th Edition

ISBN:9781337912020

Author:Carl Warren, Ph.d. Cma William B. Tayler

Publisher:Carl Warren, Ph.d. Cma William B. Tayler

Chapter16: Financial Statement Analysis

Section: Chapter Questions

Problem 2MAD

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Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% i. Calculate expected return on each stock? On the basis of this measure, which stockyou will choose?ii. Calculate standard deviation of the returns on each stock? On the basis of thismeasure, which stock you will choose?iii. Calculate coefficient of variance of the returns on each stock? On the basis of thismeasure, which stock you will choose?
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.8% + 1.25RM + eA RB = –1.8% + 1.60RM + eB σM = 18%; R-squareA = 0.24; R-squareB = 0.18 What are the covariance and correlation coefficient between the two stocks? (Do not round intermediate calculations. Calculate using numbers in decimal form, not percentages. Round your answers to 4 decimal places.)
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.2% + 1.10RM + eA RB = –1.4% + 1.2RM + eB σM = 30%; R-squareA = 0.28; R-squareB = 0.12 What is the standard deviation of each stock? (Do not round intermediate calculations. Round your answers to 2 decimal places.)
Consider the following stocks with equal probabilities of return: Outcome | Return (Stock A) | Return (Stock B) 1 -5% 2% 2 10% 12% 3 18% 15% Compute the expected returns of stock A and B. Compute the total risk and relative risk of stock A and B. Which stock is risky? Ignoring the probabilities, what is the total risk and relative risk of stock A and B? Which stock is risky? Round-off final answers only to two decimal places.
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)?
Suppose that you would like to create composite indexes from three stocks: stk1, stk2, stk3. Their stock prices (Pt) and total shares outstanding (Qt) from day 0 to day 1 are shown as follows: stk3 splits two-for-one in day 1. P0 Q0 P1 Q1 stk1 40 100 50 100 stk2 50 200 50 200 stk3 60 150 50 300 Which answer is the closest value to the rate of return on an equal-weighted index of the three stocks? A. 20% B. 25% C. 30% D. 35%
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 87 100 92 100 92 100 B 47 200 42 200 42 200 C 94 200 104 200 52 400 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.) 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.) c. Calculate the rate of return of the price-weighted index for the second period (t = 1 to t = 2).
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 84 100 89 100 89 100 B 44 200 39 200 39 200 C 88 200 98 200 49 400 Calculate the first-period rates of return on the following indexes of the three stocks: (Do not round intermediate calculations. Round your answers to 2 decimal places.)a. A market value–weighted index b. An equally weighted index
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 94 100 99 100 99 100 B 54 200 49 200 49 200 C 108 200 118 200 59 400 Required: Calculate the first-period rates of return on the following indexes of the three stocks: (Do not round intermediate calculations. Round your answers to 2 decimal places.)a. A market value–weighted index b. An equally weighted index
For the next question, consider the two stocks, A and B, in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t. P0 Q0 P1 Q1 A 50 100 45 100 B 30 200 34 200 Calculate the rate of return on a price-weighted index of the two stocks for between t = 0 and t = 1. Assume the divisor value is 2. Enter your answer as a decimal, rounded to four decimal places (e.g, 0.0123).
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% 0.10
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%