Based on a one-factor (single index) model, consider a portfolio of two stocks with the following characteristics: Stock Factor Sensitivity Non-factor risk (²) Proportion A 0.20 49 0.40 B 3.50 100 0.60 If the standard deviation of the factor is 15%, what is the standard deviation of returns on the portfolio?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 6P
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Based on a one-factor (single index) model, consider a portfolio of two stocks with the following
characteristics:
Stock
Factor Sensitivity
Non-factor risk (0²)
49
A
0.20
B
3.50
100
0.60
If the standard deviation of the factor is 15%, what is the standard deviation of returns on the
portfolio?
Proportion
0.40
Transcribed Image Text:Based on a one-factor (single index) model, consider a portfolio of two stocks with the following characteristics: Stock Factor Sensitivity Non-factor risk (0²) 49 A 0.20 B 3.50 100 0.60 If the standard deviation of the factor is 15%, what is the standard deviation of returns on the portfolio? Proportion 0.40
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