In: Finance
Suppose you have a project that has a 0.9 chance of tripling your investment in a year and a 0.1 chance of doubling your investment in a year. What is the standard deviation of the rate of return on this investment? (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places.)
Standard Deviation ______ %
Mean return = 0.9*200% + 0.1*100%
= 180% + 10%
= 190%
Variance = 0.9*(200-190)^2 + 0.1*(100-190)^2
=0.9*100 + 0.1*8100
= 90 +810
= 900%
Standard Deviation = square root (900)
= 30%