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 | 
 | 
% | 
 
 
 |