What is the variance of returns for Security ABC? no rounding off until the final answer; Format: final answer at 4 decimal places The following probability distribution for Security ABC is determined:Outcome ProbabilityExpected ReturnA60%20%B40%(5%)

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What is the variance of returns for Security ABC

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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Question 1 Are the following statements true or false? Provide a short justification for your answer. (You are evaluated on your justification.) Remember that a statement is false if any part of the statement is false. A single correct counterexample is sufficient to show that a statement is false. a) assets A, B, C, with expected returns and standard deviations: Suppose you are a mean-variance optimizer. The risk-free rate is 3%. There are three risky E [řa] = 10%, SD [FA] = 5% E [řB] = 15%, SD [řB] = 7% E [řc] = 12%, SD [řc] = 9% You cannot invest in all three risky assets. Instead, you have to choose whether to invest in only assets (A, B), or only assets (A, C). Asset B mean-variance dominates asset C, since it has higher return and lower standard deviation than asset C. Thus, as long as you are risk-averse, you would always prefer the set of assets (A, B) to the set assets (A, C). b) the same market B's. The covariance matrix between A, B, C is: Suppose the CAPM holds. Consider…
a. Fill in the missing values in the table. (Leave no cells blank - be certain to enter O wherever required. Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Security Firm A Expected Return Standard Deviation Correlation Beta 0.119 0.22 0.95 Firm B 0.131 0.41 1.50 Firm C 0.112 0.75 0.26 The market portfolio 0.12 0.19 The risk-free asset 0.05 * With the market portfolio b-1. What is the expected return of Firm A? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return %
Use the following returns for X and Y. Returns Year 1 22.8% 29.4% - 17.8 10.8 4.8 31.4 4 21.6 - 16.6 5.8 35.4 a. Calculate the average returns for X and Y. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the variances for X and Y. (Do not round intermediate calculations and round your answers to 6 decimal places, e.g., 32.161616.) c. Calculate the standard deviations for X and Y. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Y a. Average return % % b. Variance с. Standard deviation %
Calculate the project's coefficient of variation. (Hint: Use the expected NPV.) Squared dev. Prob. NPV NPVI - E{NPV) Squared deviation times probability 0.24 S6,289.81 $5,829 SS 0.24 -$2,390.74 -S2,852 SS 0.32 -S1,233.33 -S1,694 $$ 0.20 -$ 400.00 -$861 SS 1.00 $ 461.11 Variance S Standard deviation $ 5.87 6.52 7.25 7.97 8.77
Use the following returns for X and Y. Year 1 2 3 4 5 Returns X 22.1% -17.1 10.1 20.2 5.1 Y 27.3% -4.1 29.3 -15.2 33.3 a. Calculate the average returns for X and Y. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. b. Calculate the variances for X and Y. Note: Do not round intermediate calculations and round your answers to 6 decimal places, e.g., .161616. c. Calculate the standard deviations for X and Y. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. X Answer is complete but not entirely correct. X 8.06 a. Average return b. Variance c. Standard deviation 136.454400 % 11.67 X % Y 14.04 377.286400 x % 19.42%
Give typing answer with explanation and conclusion
1. Using the following returns, calculate the average returns, the variance, standard deviations, and coefficient of variation for X and Y. Which stock is the least risky? Yr 1 2 3 Rx 12.20 9.65 0.00 6.50 Ry 4 8.00 -2.00 12.50 9.57
Use the following returns for X and Y. Returns Year x y 1 21.8% 26.4% 2 -16.8 -3.8 3 9.8 28.4 4 19.6 -14.6 5 4.8 32.4 a. Calculate the average returns for X and Y. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the variances for X and Y. (Do not round intermediate calculations and round your answers to 6 decimal places, e.g., 32.161616.) c. Calculate the standard deviations for X and Y. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

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