XXX company has forecast a rate of return of 20% if the economy booms (30% probability); a rate of return of 19% if the economy in in a growth phase (40% probability); a rate of return of 2.50% if the economy in in decline (20% probability); and a rate of return of -10% if the economy in a depression (10% probability). What is the company standard deviation of returns?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 60CR
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XXX company has forecast a rate of return of 20% if the economy booms (30% probability); a rate of return of 19% if the economy in in a growth phase (40% probability); a rate of return of 2.50% if the economy in in decline (20% probability); and a rate of return of -10% if the economy in a depression (10% probability). What is the company standard deviation of returns?  

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