(T/F) Every additional stock added to a portfolio reduces the portfolio\'s level
ID: 2754171 • Letter: #
Question
(T/F) Every additional stock added to a portfolio reduces the portfolio's level of risk by an equal
amount.
A stock is expected to return 11% in a normal economy, 19% if the economy booms, and lose 8%
if the economy moves into a recessionary period. The economists predict a 65% chance of a normal
economy, a 25% chance of a boom, and a 10% chance of a recession. What is the expected return on the
stock?
A. 11.98%
B. 12.06%
C. 11.10%
D. 11.23%
What is the approximate variance of returns if over the past 3 years an investment returned 8%,
-12%, and 15%?
A. 31
B. 131
C. 182
D. 961
Explanation / Answer
Ans : Expected return on the stock: (11*65%) + (19*25%) + (-8*10%)
= 7.15 + 4.75 - 0.8
= 11.1% i.e. Option C.
Appx Variance of returns = (11.1 - 8)^2 + (11.1+12)^2 + (11.1-15)^2
= 182 i.e. option C.
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