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The following table provides the 2005-2009 annual returns for AIG Insurance and New York Life Insurance

Finance Dec 24, 2020

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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