Consider the following information: State Probability Stock A Stock B Stock C Boom 0.65 0.24 0 -0.09 Bust 0.35 -0.12 0.2 0.04 What is the expected return on an equally weighted portfolio of these three stocks? (Hint: Equally means that each stock has the same weight. Given that there are only 3 stocks, each has a weight of 1/3) Enter the answer with 4 decimals (e.g. 0.1234).

Consider the following information: State Probability Stock A Stock B Stock C Boom 0.65 0.24 0 -0.09 Bust 0.35 -0.12 0.2 0.04 What is the expected return on an equally weighted portfolio of these three stocks? (Hint: Equally means that each stock has the same weight. Given that there are only 3 stocks, each has a weight of 1/3) Enter the answer with 4 decimals (e.g. 0.1234).

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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8. (Portfolio of two stocks) The following spreadsheet presents data for stocks A and B. A B C 1 2 RETURN STATISTICS OF STOCKS A AND B Stock A Stock B 3 Average return 15% 10% 4 Variance 0.12 0.07 5 Standard deviation 34.64% 26.46% 6 7 Covariance of return, Cov(AIB) 0.0160 0.1746 <=B7/(B5*C5) a. 8 Correlation of return What are the return and the standard deviation of a portfolio com- posed of 30% of stock A and 70% of stock B? b. What are the return and the standard deviation of an equally weighted portfolio of stocks A and B?
A stock has an expected return of 0.15, its beta is 0.52, and the expected return on the market is 0.08. What must the risk-free rate be? (Hint: Use CAPM) Enter the answer in 4 decimals e.g. 0.0123.
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 с Po 81 41 82 Rate of return 20 100 200 200 Divisor P1₁ 86 36 92 21 100 200 200 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.) % P2 86 36 46 Q2 100 200 400 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.)
Consider the three stocks in the following table. P(t) represents price at time t, and Q(t) represents shares outstanding at time t. Stock C splits two-for-one in the last period. What is the new divisor for the price-weighted index that is formed using Stocks A, B, and C if the starting divisor is 3? B 2.475 2.340 2.455 2.375 P(1) 95 45 100 Q(1) 100 200 200 P(2) 95 45 50 Q(2) 100 200 400
You have estimated the following probability distributions of expected future returns for Stocks X and Y: Stock X Stock Y Probability Return Probability Return 0.1 -12 % 0.2 4 % 0.1 11 0.2 7 0.3 14 0.3 11 0.3 30 0.2 17 0.2 40 0.1 30 What is the expected rate of return for Stock X? Stock Y? Round your answers to one decimal place.Stock X: % Stock Y: % What is the standard deviation of expected returns for Stock X? For Stock Y? Round your answers to two decimal places.Stock X: % Stock Y: % Which stock would you consider to be riskier? is riskier because it has a standard deviation of returns.
6
Consider the two stocks below. Which has a positive beta (i.e., tends to move in the same direction as the market)? Which has a higher R2 (1.e., market returns explain more of its return patterns)? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. Stock 1 has a positive beta and a higher R² a b C d Stock 2 has a positive beta and a higher R² Stock 1 has a positive beta, but Stock 2 has a higher R Stock 2 has a positive beta, but Stock 1 has a higher R² ft RM Stock 2 Stock 1 Par
b. Consider the following information about three stocks: Probability of State of i. ii. iii. iv. State of Economy V. Boom Recession Economy 0.40 0.60 From the information given, you are required to answer the following questions. Compute the Standard Deviation for each stock. Compute the Coefficient Variation for each stock. Based on your computation in part (i) and (ii), which stock is riskier? Explain your answer. Rate of Return if State Occurs Stock Hang Stock Hang Jebat 7% 13% Tuah 28% (5%) Stock Hang Kasturi 15% 3% Assume that you have RM14,000 invested in Stock Hang Jebat whose beta is 1.5, RM19,000 invested in Stock Hang Kasturi whose beta is 2.5 and RM17,000 invested in Stock Hang Tuah whose beta is 1.6. Determine what is the beta of this portfolio. Based on your answer in part (iv), compute the required rate of return for this portfolio, given that the market rate of return is 13% and risk-free rate is 5%.
Consider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10 10% 8% 2 0.20 13% 7% 3 0.20 12% 6% 4 0.30 14% 9% 5 0.20 15% 8% The coefficient of correlation between A and B is:
D3)
Consider the following information: Stock Return if Market Return Is: Stock –13% 10% A 0 14 B –5 21 C –25 36 D 10 8 E 15 -10 What is the beta of each of the stocks? (Leave no cells blank - be certain to enter "0" wherever required. Use decimals, not percents, in your calculations. A negative value should be indicated by a minus sign. Round your answers to 1 decimal place.) Stock Beta A B C D E
What is the reward-to-risk ratio for Stock X, in decimal form? Round your answer to 4 decimal places (example: if your answer is .03579, you should enter .0358). Margin of error for correct responses: +/- .0005. expected return (implied by market price) Beta Stock X 9.6% 1.46 S&P500 12% ? T-bills 4% ?

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