Assume that your uncle holds just one stock, East Coast Bank (ECB), which he thinks has very little risk. You agree that the stock is relatively safe, but you want to demonstrate that his risk would be even lower if he were more diversified. You obtain the following returns data for West Coast Bank (WCB). Both banks have had less variability than most other stocks over the past 5 years. Measured by the standard deviation of returns, by how much would your uncle's risk have been reduced if he had held a portfolio consisting of 73% in ECB and the remainder in WCB? (Hint: Use the sample standard deviation formula.) Do not round your intermediate calculations. ECB 40.00% WCB 40.00% -10.00% 19.00% 35.00% -5.00% -5.00% -10.00% 19.00% 35.00% Year 1 2 3 4 5 Average return = Standard deviation = O a. 5.24 p.p. O b. 0.72 p.p. O c. 2.84 p.p. O d. 0.64 p.p. O e. 3.18 p.p. 15.80% 22.71% 15.80% 22.71%

Assume that your uncle holds just one stock, East Coast Bank (ECB), which he thinks has very little risk. You agree that the stock is relatively safe, but you want to demonstrate that his risk would be even lower if he were more diversified. You obtain the following returns data for West Coast Bank (WCB). Both banks have had less variability than most other stocks over the past 5 years. Measured by the standard deviation of returns, by how much would your uncle's risk have been reduced if he had held a portfolio consisting of 73% in ECB and the remainder in WCB? (Hint: Use the sample standard deviation formula.) Do not round your intermediate calculations. ECB 40.00% WCB 40.00% -10.00% 19.00% 35.00% -5.00% -5.00% -10.00% 19.00% 35.00% Year 1 2 3 4 5 Average return = Standard deviation = O a. 5.24 p.p. O b. 0.72 p.p. O c. 2.84 p.p. O d. 0.64 p.p. O e. 3.18 p.p. 15.80% 22.71% 15.80% 22.71%

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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You determined that the returns from Grain Processing Inc (GPI) are normally distributed with a mean of 10% and standard deviation of 8%. In addition, you are confident that past returns are good indicators of future returns. If you buy shares in GPI. answer in Finance terms, not Satistics. a) What is the probability that your return will be negative? b) What is the probability that your return will be above 16%?
Assume that your cousin holds just one stock, Eastman Chemical Bonding (ECB), which he thinks has very little risk. You agree that the stock is relatively safe, but you want to demonstrate that his risk would be even lower if he were more diversified. You obtain the following returns data for Wilder's Creations and Buildings (WCB). Both companies have had less variability than most other stocks over the past 5 years. Measured by the standard deviation of returns, by how much would your cousin's risk have been reduced if he had held a portfolio consisting of 40% in ECB and the remainder in WCB? (Hint: Use the sample standard deviation formula.) Average return= Standard deviation = Select the correct answer. a. 3.68% b. 3.72% c. 3.76% d. 3.84% e. 3.80% Year ECB WCB 2011 40.00% 40.00% 2012 -10.00% 15.00% 2013 35.00% -5.00% 2014 -5.00% -10.00% 2015 15.00% 35.00% 15.00% 15.00% 22.64% 22.64%
You are an investment analyst at an asset management firm. Your colleague, the in-house economist, has analyzed all the risky securities in your economy - A, B and C. He provides you with the following statistics: Securities Expected Returns Standard Deviation 0.35 0.25 0.18 A B C 0.15 0.10 0.075 0.03 Risk-Free The Correlation between A and B is 0.2, between B and C is 0.5, and between A and C is 0.3. The prevailing risk-free rate is 3%. What is the Sharpe ratio of the market portfolio in this economy?
Which of the following statements is CORRECT? Suppose the returns on two stocks are negatively correlated. One has a beta of 1.2 as determined in a regression analysis using data for the last 5 years, while the other has a beta of −0.6. The returns on the stock with the negative beta must have been negatively correlated with returns on most other stocks during that 5-year period. Suppose you are managing a stock portfolio, and you have information that leads you to believe the stock market is likely to be very strong in the immediate future. That is, you are convinced that the market is about to rise sharply. You should sell your high-beta stocks and buy low-beta stocks in order to take advantage of the expected market move. You think that investor sentiment is about to change, and investors are about to become more risk averse. This suggests that you should re-balance your portfolio to include more high-beta stocks. If the market risk premium remains constant, but the risk-free rate…
(Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.20 0.60 0.20 Probability 0.15 0.35 0.35 0.15 (Click on the icon in order to copy its contents into a spreadsheet.) ew an example Get more help. T 3 a. Given the information in the table, the expected rate of retum for stock A is 15.6 %. (Round to two decimal places.) The standard deviation of stock A is %. (Round to two decimal places.) E D 80 73 Return. 12% 16% 18% U с $ 4 R F 288 F4 V Common Stock B % 5 T FS G 6 Return -7% 7% 13% 21% B MacBook Air 2 F& Y H & 7 N 44 F? U J ** 8 M | MOSISO ( 9 K DD O . Clear all : ; y 4 FIX { option [ + = ? 1 Check answer . FV2 } ◄ 1 delete 1 return shift
Qarshi Industries is a very well-profiled Company in financial markets of Pakistan. The company is confused about its investments during January effect. Help the company in estimating the risk and return of the company investments. For Qarshi Industries, the market and Stock J have the following probability distributions: Probability Rm Rj 0.3 15% 10% 0.4 9% 5% 0.3 8% 12% Calculate the expected rates of return for the market and Stock J. Calculate the standard deviations for the market and Stock J. Calculate the variance for the market and Stock J. Identify market anomaly, briefly discuss with example. Differentiate between Average return and Geometric return, elaborate with the mathematical description of each
(Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.20 0.60 0.20 Probability 0.15 0.35 0.35 0.15 (Click on the icon in order to copy its contents into a spreadsheet.) Common Stock B Return 13% 14% 18% Return - 6% 7% 15% 21% a. Given the information in the table, the expected rate of return for stock A is 14.6 %. (Round to two decimal places.) The standard deviation of stock A is %. (Round to two decimal places.)
Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Common Stock B Probability Return Probability Return 0.25 13% 0.25 −7% 0.50 14% 0.25 7% 0.25 18% 0.25 16% 0.25 23% (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. Given the information in the table, the expected rate of return for stock A is enter your response here %. (Round to two decimal places.) Part 2 The standard deviation of stock A is enter your response here %. (Round to two decimal places.) Part 3 b. The expected rate of return for stock B is enter your response here %. (Round to two decimal places.) Part 4 The standard deviation for stock B is enter…
You are an investment analyst at an asset management firm. Your colleague, the in-house economist, has analyzed all the risky securities in your economy - A, B and C. He provides you with the following statistics: A B C Risk-Free Securities Expected Returns Standard Deviation 0.25 0.20 0.12 0.12 0.11 0.08 0.01 The Correlation between A and B is 0.25, between B and C is 0.75, and between A and C is 0.5. What is the slope of the capital market line in this economy? Group of answer choices 0.27 0.58 0.62 0.66 052
Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Common Stock B Probability Return Probability Return 0.35 13% 0.25 −7% 0.30 17% 0.25 8% 0.35 21% 0.25 15% 0.25 23% (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. Given the information in the table, the expected rate of return for stock A is enter your response here%. (Round to two decimal places.)
You are trying to develop a strategy for investing in two different stocks. The anticipated annual return for a $1,000 investment in each stock under four different economic conditions has the probability distribution shown to the right. Complete parts (a) through (c) below. Probability 0.1 0.2 0.4 0.3 a. Compute the expected return for stock X and for stock Y. The expected return for stock X is (Type an integer or a decimal. Do not round.) Economic Condition Recession Slow growth Moderate growth Fast growth Returns Stock X Stock Y - 40 30 80 150 - 110 40 140 210
H. As a new analyst, you have obtained the prices for the stocks of both Lulu and Lemon. Both stocks did not paid any dividends during the entire period. (1) (II) (III) Your manager has asked you (i) to compute the rate of return and standard deviation of the two stocks and suggest that because these companies produce similar products, you should continue your analysis by (ii) computing their covariance and correlation. Show all calculations. Year 2019 2020 2021 2022 2023 Closing prices of LuLu Closing prices of Lemon 20.50 30.10 19.92 28.50 22.45 30.10 24.50 40.30 20.50 36.40 Compute the return and standard deviation of a portfolio with 60% investment in Lulu and 40% in Lemon. Would you recommend putting these two stocks together in a portfolio? Explain why or why not.

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