In: Finance
WeVest Financial Advisors suggests an investment in two stocks
(40% in Stock A and 60% in...
WeVest Financial Advisors suggests an investment in two stocks
(40% in Stock A and 60% in Stock B). They claim the investment will
reduce risk through diversification, but they need proof. This is
the historical returns for the two stocks.
Year |
Returns (%) |
Stock A |
|
Stock B |
2012 |
|
14.82 |
% |
|
|
10.76 |
% |
2013 |
|
15.72 |
|
|
|
11.82 |
|
2014 |
|
12.61 |
|
|
|
10.43 |
|
2015 |
|
10.84 |
|
|
|
11.96 |
|
2016 |
|
11.32 |
|
|
|
7.66 |
|
|
a. Using a 40/60 split, what is the weighted
average standard deviation of the two stocks? (Enter your
answer as a percent rounded to two decimal places.)
|
|
Weighted
Average Standard Deviation |
|
% |
|
b. Recalculate the standard deviation of a
portfolio of the two stocks. (Enter your answer as a
percent rounded to two decimal places.)
|
|
Portfolio
standard deviation |
|
% |
|
c. What is the reduction in standard deviation
that results from the creation of a portfolio of the two stocks?
(Enter your answer as a percent rounded to two decimal
places.)
|
|
Reduction
in standard deviation |
|
% |
|