The returns on the common stock of Alpha Cycles, Inc. are quite cyclical. In a boom economy, the stock is expected to return 31.0% in comparison to 11.0% in a normal economy and negative 18.0% in a recessionary period. The probability of a recession is 12% while the probability of a boom is 22%. The remainder of the time the economy will be at normal levels. What is the standard deviation of the returns on this stock?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 17P
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The returns on the common stock of Alpha Cycles, Inc. are quite cyclical. In a boom economy, the stock is expected to return 31.0% in comparison to 11.0% in a normal economy and negative 18.0% in a recessionary period. The probability of a recession is 12% while the probability of a boom is 22%. The remainder of the time the economy will be at normal levels. What is the standard deviation of the returns on this stock?

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