Portfolio Variance
Statistical Inference DS practice problem on Onlearn.
Difficulty: medium.
Topics: Understanding Portfolio Risk Measurement via Covariance Matrices, Dot Product Operations, Matrix Transposition, Element-wise Multiplication, Variance-Covariance Decomposition, Scalar Projection, Linear Algebra, Probability Theory, Financial Mathematics, Statistical Inference, Optimization Theory, Covariance Matrices, Weight Vectors, Quadratic Forms, Portfolio Diversification, Risk Metrics.
Given a list of asset weights and a covariance matrix representing the relationships between asset returns, calculate the total portfolio variance. The portfolio variance is defined as the scalar result of the matrix multiplication wᵀΣw.