Alternate & Co is attempting to choose the best of two alternatives asset investment A and B, each requiring an initial investment of RM10000 and both having most likely, optimistic and pessimistic rate of return as shown in the table below. Calculate the following from the data given below. i. Expected rate of return for Asset A & B ii. Variance for Asset A & B iii. Standard deviation for Asset A & B iv. Coefficient of variation for Asset A & B v. Which of the asset is more risky? Asset A Rm10000 Asset B Initial Investment RM10000 Probability of this event occurring |(2) 0.25 Possible Annual rate of return Annual rate of return outcomes (3) (5) (1) Pessimistic 13% 7% 15% Most likely Optimistic 0.50 15% 0.25 17% 23% 1.0

Alternate & Co is attempting to choose the best of two alternatives asset investment A and B, each requiring an initial investment of RM10000 and both having most likely, optimistic and pessimistic rate of return as shown in the table below. Calculate the following from the data given below. i. Expected rate of return for Asset A & B ii. Variance for Asset A & B iii. Standard deviation for Asset A & B iv. Coefficient of variation for Asset A & B v. Which of the asset is more risky? Asset A Rm10000 Asset B Initial Investment RM10000 Probability of this event occurring |(2) 0.25 Possible Annual rate of return Annual rate of return outcomes (3) (5) (1) Pessimistic 13% 7% 15% Most likely Optimistic 0.50 15% 0.25 17% 23% 1.0

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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Given the choice between two assets with expected returns of 13.5% each, the standard deviation of asset A of 15% and the standard deviation of asset B of 16.5%, a rational investor would choose: O A. either asset. B. asset B. C. asset A. P Type here to search
Given the choice between two assets with standard deviations of 18.10% each, a return for asset A of 16.40% and a return for asset B of 17.20%, a rational investor would choose: A. asset B. B. either asset. C. asset A.
Assuming that the rates of return associated with a given asset investment are normally distributed; that the expected return, r, is 18.7%; and that the coefficient of variation, CV, is 1.88, answer the following questions: a. Find the standard deviation of returns, sigma Subscript rσr. b. Calculate the range of expected return outcomes associated with the following probabilities of occurrence: (1) 68%, (2) 95%, (3) 99%.
Expected return and standard deviation. Use the following information to answer the questions: a. What is the expected return of each asset? b. What is the variance and the standard deviation of each asset? c. What is the expected return of a portfolio with 12% in asset J, 52% in asset K, and 36% in asset L? d. What is the portfolio's variance and standard deviation using the same asset weights from part (c)? Hint: Make sure to round all intermediate answers you will type. a. What is the expected return of asset J? (Round to four decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Return on Asset J in State of Economy Boom Growth Stagnant Recession Probability of State 0.24 0.36 0.21 0.19 State 0.050 0.050 0.050 0.050 Return on Asset K in State 0.230 0.120 0.020 -0.060 Return on Asset L in State 0.250 0.190 0.065 - 0.190
You have data on the following assets: asset Expected return Standard DeviationA 15.0% 21.0%B 15.5% 20.2%C 18.0% 25.0% Calculate the coefficient of variation for each of the assets. Which one is the best investment option?
You are given the following data about Asset A and Asset B. Asset A Asset B Expected returns 8.6% 7.9% Standard Deviation 3.8% 4.6% Assuming that an investor is to choose between Asset A or Asset B, explain which asset a rational investor will choose. c) With the use of a diagram, explain why an investor will always choose a point on the SML line.
What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as shown below? Asset (A) E(R₁) = 10% SDA = 8% WA = 0.25 COVAB = 0.006 Asset (B) E(R₂) = 15% SDB = 9.5% WB = 0.75
a. Using the data in the table below alculate the following performance measures.i. Sharpe ratioii. Treynor measureiii. Jensen’s alphaiv. M-squared measurev. T-squared measure, andvi. Appraisal ratio (information ratio) Fund Average return Standard Deviation Beta coefficient Unsystematic Risk A 0.240 0.220 0.800 0.017 B 0.200 0.170 0.900 0.450 C 0.290 0.380 1.200 0.074 D 0.260 0.290 1.100 0.026 E 0.180 0.400 0.900 0.121 F 0.320 0.460 1.100 0.153 G 0.250 0.190 0.700 0.120 Market 0.220 0.180 1.000 0.000 Risk free return 0.050 0.000 b. Out of the performance measures you calculated in part a., which one would you use undereach of the following circumstances:i. You want to select one of the funds as your risky portfolio.ii. You want to select one of the funds to be mixed with the rest of your portfolio,currently composed solely of holdings in the market-index fund.iii. You want to select one of the funds to form an actively managed stock portfolio
There are three assets with the rates of return r1 = 214 +2 18+1, r2 = -314+61B –2, r3 = 514 – 1B+4, respectively, where A and B are two independent random events. Find the portfolio of the three assets with the minimum variance and determine its expected return rate.
The standard deviation of return on investment a is 0.10, while the standard deviation of return on investment b is 0.04. If the correlation coefficient between the returns on A and B is_____________. A. -0.0447 B. -0.0020 C. 0.0020 D. 0.0447
2) Calculate the envelope set (frontier) for the following four assets and show that the individual assets all lie within this envelope set. 123456 A B E A FOUR-ASSET PORTFOLIO PROBLEM C Variance-covariance 0.01 0.30 0.06 -0.04 0.10 0.01 0.03 0.05 0.03 0.06 0.40 0.02 D 0.05 -0.04 0.02 0.50 F Mean returns 6% 8% 10% 15%
Uncorrelated assets A and B have standard deviation of return 0.3 and 0.4 respectively. If a denotes the proportion invested in A, which value of a leads to the Minimum Variance Portfolio? A. 0.55 B. 0.64 C. 0.12 D. 0.80 .

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