States Probability Asset M Return Asset N Return Asset O Return Вoom 32% 13% 23% 5% Normal 50% 11% 15% 11% Recession 18% 5% 3% 13%

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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What is the standard deviation of the portfolio that invests equally in all three assets​ M, N, and​ O?

States
Probability
Asset M Return
Asset N Return
Asset O Return
Вoom
32%
13%
23%
5%
Normal
50%
11%
15%
11%
Recession
18%
5%
3%
13%
Transcribed Image Text:States Probability Asset M Return Asset N Return Asset O Return Вoom 32% 13% 23% 5% Normal 50% 11% 15% 11% Recession 18% 5% 3% 13%
Expert Solution
Step 1B

Portfolio Return = Return on asset M * 1/3 + Return on asset N * 1/3 + Return on asset O * 1/3 

Portfolio Mean = sum of (probability * portfolio return)

Portfolio variance =sum of (Probability*(Portfolio Return - Mean of Portfolio Return)^2)

Portfolio standard deviation = square root of variance

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