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Get our FREE CFA Level 1 summaries: https://www.finquiz.com/cfa/level-1/summary 📉 Quant Methods Got You Spiraling? FinQuiz = Your CFA Lifeline Quant isn’t just plug-and-chug. It’s logic, timing, and not getting trapped on exam day. Whether you're battling z-scores or trying to remember if it's n or n–1, we’ve got your back. 📎 Battle-Ready Summaries – No fluff, no chaos. Just the core Quant ideas, explained clearly 👉 https://www.finquiz.com/cfa/level-1/summary/ 🧷 Stanley Notes – Clean breakdowns of complex concepts (yes, even heteroskedasticity) 👉 https://www.finquiz.com/cfa/level-1/notes/ 📌 Formula Sheet – All the essentials on one page. Screenshot it. Tattoo it. Just don’t forget it. 👉 https://www.finquiz.com/cfa/level-1/formula-sheet/ 🎮 Question Bank – Practice like you mean it. Real CFA-style traps, logic puzzles, and curveballs 👉 https://www.finquiz.com/cfa/level-1/question-bank/ ⏱ Mock Exams – Time pressure. Real feel. Actual anxiety simulator (but also confidence booster) 👉 https://www.finquiz.com/cfa/level-1/mock-exam/ 🧃 Explore All CFA Level 1 Resources 👉 https://www.finquiz.com/cfa/level-1/ 💸 Want the full upgrade? Go Premium = Everything unlocked + guidance to crush Level 1 👉 https://www.finquiz.com/cfa-level-1-study-packages/ 0:00 Introduction to Portfolio Mathematics (CFA Level 1) Overview of expected return, variance, covariance, and correlation Importance for portfolio management and risk assessment 0:32 Expected Return & Weighted Averages Basics of expected value Role of asset weights in a portfolio 1:50 Variance, Covariance & Risk Variance as a measure of return dispersion Covariance (positive vs. negative vs. zero) Diversification benefits from lower covariance 3:31 Correlation & Portfolio Implications Standardized measure of linear relationships (range: -1 to +1) Perfect positive vs. perfect negative correlation Diversification strategies and correlation effects 4:53 Forecasting Correlation via Joint Probability Understanding joint distributions for multi-asset returns Example with Tech Corp & Health Inc. (joint probabilities) Calculating expected returns & covariance from scenarios 6:32 Independence & Uncorrelated Variables Independent vs. uncorrelated (key differences) Multiplication rule for independent variables (joint probability = product) Portfolio implications of independence 7:55 Uncorrelated Random Variables & Expected Value Assumption of normal distribution in portfolio returns 9:00 Mean-Variance Analysis & The Normal Distribution Balancing expected return vs. risk Portfolio optimization & risk-return tradeoffs Application in real-world portfolio construction 10:01 Safety-First Rule & Sharpe Ratio Minimizing probability of returns dropping below a certain threshold Comparing portfolios by the Sharpe Ratio (excess return / standard deviation) 11:30 Risk Management Tools: Value at Risk (VaR) & Stress Testing VaR as a worst-case loss measure at a given confidence level Stress testing and scenario analysis for extreme market conditions How these methods complement mean-variance approaches 14:00 Conclusion & CFA Exam Study Tips Recap of expected return, variance, covariance, correlation, and risk tools Importance of practice with end-of-chapter questions Final encouragement for mastering portfolio management concepts