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This podcast is made by Ran Chen, who holds an EA license, Insurance and Securities licenses (Series 6, 63, 65), and the CFP® designation. He is passionate about opening access to high-quality exam preparation resources and helping learners prepare more effectively for professional certification exams.
In this episode you will learn:
• How joint probabilities across mutually exclusive economic states must sum to one when calculating expected asset returns.
• The step-by-step procedure for calculating probability-weighted covariance between two asset returns.
• How to derive and interpret the correlation coefficient within its bounded range of negative one to positive one.
• Why a correlation coefficient of zero indicates no linear relationship but does not imply general independence.
• The key distinction between state-space probability weighting and sample covariance calculations.
This independent study lesson is designed to supplement your CFA Level I exam preparation. For additional study resources, practice questions, and interactive learning tools, visit https://open-exam-prep.com/practice/cfa-level1 or check out our channel at https://www.youtube.com/@Open-exam-prep .
Sources checked: October 12, 2026
https://www.cfainstitute.org/programs/cfa-program/candidate-resources/level-i-exam
https://www.cfainstitute.org/sites/default/files/2027levelitopicoutline_online.pdf
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