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The following table provides the 2005-2009 annual returns for AIG Insurance and New York Life Insurance
The following table provides the 2005-2009 annual returns for AIG Insurance and New York Life Insurance. Year 2005 2006 2007 2008 2009 AIG 15.70% 42.40% 27.00% -11.80% -37.20% NYL 45.00% 33.80% -13.80% 29.40% 40.00% Required: 1. Prepare a fourth column in the chart with a combined portfolio of 30% invested in AIG and 70% invested in NYL (Portfolio AIG/NYL) 2. Determine the average returns, variance and standard deviation of AIG, NYLIFE and the combined Portfolio AIG/NYL.
Expert Solution
Give details:
|
Year |
AIG |
NYL |
|
2005 |
15.7 |
45 |
|
2006 |
42.4 |
33.8 |
|
2007 |
27 |
-13.8 |
|
2008 |
-11.8 |
29.4 |
|
2009 |
-37.2 |
40 |
Solution:
Find the Portfolio that contains 30% of AIG and 70% of NYL
For this we have to multiply the AIG returns by .3( which means 30% weightage given to this one for new portfolio construction ) and multiply the NYL return by 0.7(which means 70% weightage given to this one for new portfolio construction) and then add both the values, So the formula will be looks like =((B2*0.3)+(C2*0.7)) (Note: the excel is starts with A1) and same has to repeated for all years
|
Year |
AIG |
NYL |
AIG/NYL |
|
2005 |
15.7 |
45 |
36.21 |
|
2006 |
42.4 |
33.8 |
36.38 |
|
2007 |
27 |
-13.8 |
-1.56 |
|
2008 |
-11.8 |
29.4 |
17.04 |
|
2009 |
-37.2 |
40 |
16.84 |
Average return:
This simple calculated by adding all the years return and divide by no of years, here we have 5 years so add the return and divide it by 5 , for the AIG the total return is 36.1% and it is divided by 5 so the average return is 7.22% ,
Formula =AVERAGE(B2:B6)
Do it for all the portfolio
|
Year |
AIG |
NYL |
AIG/NYL |
|
2005 |
15.7 |
45 |
36.21 |
|
2006 |
42.4 |
33.8 |
36.38 |
|
2007 |
27 |
-13.8 |
-1.56 |
|
2008 |
-11.8 |
29.4 |
17.04 |
|
2009 |
-37.2 |
40 |
16.84 |
|
Average Return |
7.22 |
26.88 |
20.982 |
Standard deviation:
This is a statistical function can be done by the inbuild function called stddev, To get this function just type =stddev and you will get this function and then select all the data’s that you want to include to find the standard deviation
Formula= =STDEVA(B2:B6)
So the answer will looks like
|
Year |
AIG |
NYL |
AIG/NYL |
|
2005 |
15.7 |
45 |
36.21 |
|
2006 |
42.4 |
33.8 |
36.38 |
|
2007 |
27 |
-13.8 |
-1.56 |
|
2008 |
-11.8 |
29.4 |
17.04 |
|
2009 |
-37.2 |
40 |
16.84 |
|
Average Return |
7.22 |
26.88 |
20.982 |
|
Standard Deviation |
31.76353 |
23.50302 |
15.88889 |
Variance:
Variance is square of standard deviation , so we can calculated this by multiplying the standard deviation with the standard deviation
Formula: B8*B8
So the final result looks like
|
Year |
AIG |
NYL |
AIG/NYL |
|
2005 |
15.7 |
45 |
36.21 |
|
2006 |
42.4 |
33.8 |
36.38 |
|
2007 |
27 |
-13.8 |
-1.56 |
|
2008 |
-11.8 |
29.4 |
17.04 |
|
2009 |
-37.2 |
40 |
16.84 |
|
Average Return |
7.22 |
26.88 |
20.982 |
|
Standard Deviation |
31.76353 |
23.50302 |
15.88889 |
|
Variance |
1008.922 |
552.392 |
252.4569 |
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