You are looking at an investment with the following outcomes (and probabilities): 2.> 11% chance of a 38% return 24% chance of a 15% return 12% chance ofa 12%return 17% chance ofa 7% return 18% chance ofa 2% return 10% chance ofa-4% return' 8% chance of a -16% return What is the expected return and standard deviation of this investment?|

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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I am struggling with this problem and getting it set up for excel.

You are looking at an investment with the following outcomes (and probabilities):
2.>
11% chance of a 38% return
24% chance of a 15% return
12% chance ofa 12%return
17% chance ofa 7% return
18% chance ofa 2% return
10% chance ofa-4% return'
8% chance of a -16% return
What is the expected return and standard deviation of this investment?|
Transcribed Image Text:You are looking at an investment with the following outcomes (and probabilities): 2.> 11% chance of a 38% return 24% chance of a 15% return 12% chance ofa 12%return 17% chance ofa 7% return 18% chance ofa 2% return 10% chance ofa-4% return' 8% chance of a -16% return What is the expected return and standard deviation of this investment?|
Expert Solution
Step 1

Calculation of Expected Return and Standard Deviation:

The expected return is 9.09% and standard deviation is 13.36%.

Excel Spreadsheet:

A
В
C
1 Probability Returns Probability*Returns Variance of Returns
4.1800%
0.00919367
2
11%
38%
24%
3
15%
3.6000%
0.00083827
12%
1.4400%
4
12%
0.00010162
0.00007426
5
17%
7%
1.1900%
18%
6
2%
0.3600%
0.00090483
7
10%
-4%
-0.4000%
0.00171348
0.00503606
8
8%
-16%
-1.2800%
9
Expected Return
9.09%
0.01786219
10
Variance
11
Standard Deviation
13.36%
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