The expected value and the standard deviation of returns for asset a is (see below.)
asset a
modifyingabove and below start 2 by 1 matrix 1st row 1st column bold possible outcomes probability returns left parenthesis % right parenthesis 2nd row 1st column start 3 by 1 matrix 1st row 1st column pessimistic 0.25 10 2nd row 1st column most likely 0.45 12 3rd row 1st column optimistic 0.30 16 endmatrix endmatrix with brackets
possible outcomes probability returns (%)
pessimistic 0.25 10
most likely 0.45 12
optimistic 0.30 16
a.
12 percent and 4 percent
b.
12.7 percent and 4 percent
c.
12.7 percent and 2.3 percent
d.
12 percent and 2.3 percent