Consider the following information: Rate of Return If State Occurs
State of Probability of
Economy State of Economy Stock A Stock B Stock C
Boom .20 .35 .45 .25
Good .45 .20 .16 .09
Poor .25 −.02 −.05 −.03
Bust .10 −.16 −.20 −.12

a.
Your portfolio is invested 24 percent each in A and C, and 52 percent in B. What is the expected return of the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e. g., 32.16.)

b-1. What is the variance of this portfolio? (Do not round intermediate calculations and round your answer to 5 decimal places, e. g., .16161.)
b-2. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e. g., 32.16.)

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if you explain the the question more correctly i might be able to answer this better

step-by-step explanation:

8+10

step-by-step explanation:

you multiply 4 by 2 and 5 by 2

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt