Consider an equal-weighted portfolio that comprises two assets: A and B. The monthly returns for each asset for the first four months of the year are given below. Month 1 Month 2 Month 3 Month 4 Asset A return 5% -2% -3% -6% Asset B return 4% 1% ? 2% If the effective annual rate of return on the equal- weighted portfolio calculated from the geometric sum of monthly portfolio returns is 13.49%, what is the Month 3 return for asset B?

International Financial Management
14th Edition
ISBN:9780357130698
Author:Madura
Publisher:Madura
Chapter21: International Cash Management
Section: Chapter Questions
Problem 19QA
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Consider an equal-weighted portfolio that
comprises two assets: A and B. The monthly
20.
returns for each asset for the first four months of
the year are given below.
Month 1 Month 2 Month 3 Month 4
Asset A return
5%
-2%
-3%
-6%
Asset B return
4%
1%
?
2%
If the effective annual rate of return on the equal-
weighted portfolio calculated from the geometric
sum of monthly portfolio returns is 13.49%, what
is the Month 3 return for asset B?
Please explain in detail the rationale behind each step.
Transcribed Image Text:Consider an equal-weighted portfolio that comprises two assets: A and B. The monthly 20. returns for each asset for the first four months of the year are given below. Month 1 Month 2 Month 3 Month 4 Asset A return 5% -2% -3% -6% Asset B return 4% 1% ? 2% If the effective annual rate of return on the equal- weighted portfolio calculated from the geometric sum of monthly portfolio returns is 13.49%, what is the Month 3 return for asset B? Please explain in detail the rationale behind each step.
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