In: Finance
A) Given the year end prices of the following stocks, estimate the expected return of a portfolio of 30% AAA and 70% BBB. Enter your answer as a percent without the % sign. Round your final answer to two decimals.
B) Given the year end prices of the following stocks, estimate the standard deviation of the returns of a portfolio of 30% AAA and 70% BBB. Enter your answer as a percent without the % sign. Round your final answer to two decimals.
Year | AAA | BBB |
---|---|---|
2006 | 100 | 55 |
2007 | 105 | 65 |
2008 | 120 | 60 |
2009 | 110 | 70 |
2010 | 130 | 65 |
2011 | 160 | 80 |
First we will Calculate Return of AAA and BBB by following
formula
rate of return = (closing price -opening price)/Opening
price
First year 2007 AAA Return = (105-100)/105 = 5%
BBB Return =(65-55)/55=
18.1818%
Then we will calculate Combined Portfolio Return year
wise
return of portfolio = (return of AAA * Weight AAA) + ( Return of
BBB* weight BBB)
Year 2007 Return = (5%*30%)+(18.1818%*70%)=
14.2273%
year AAA BBB Portfolio
Return
2007 5.0000% 18.1818%
14.2273%
2008 14.2857% -7.6923%
-1.0989%
2009 -8.3333% 16.6667%
9.1667%
2010 18.1818% -7.1429%
0.4545%
2011 23.0769% 23.0769%
23.0769%
Expected Return excel function = Average(Cell 1: Cell 5)
=9.1653%
Standard deviation excel function = Stdev(cell 1:cell 5)
=10.0048%