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 60% in ECB and the remainder in WCB? (Hint: Use the sample standard deviation formula.) 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% Average return = 15.00% 15.00% Standard deviation = 22.64% 22.64% a. 3.29% b. 3.46% c. 3.65% d. 3.84% e. 4.03%

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 60% in ECB and the remainder in WCB? (Hint: Use the sample standard deviation formula.) 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% Average return = 15.00% 15.00% Standard deviation = 22.64% 22.64% a. 3.29% b. 3.46% c. 3.65% d. 3.84% e. 4.03%

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 3P

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