Knowledge Tree
variance
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Topic 2: The Risk and Return Trade Off in Financial Decision Making oercollective.caul.edu.au 5 days ago 6 facts
claimVariance is a statistical measure that quantifies the spread or dispersion of a dataset by calculating how much individual values deviate from the mean.
claimPortfolio risk is determined by the variance and covariance of returns among the assets included in the portfolio.
formulaThe standard deviation of an asset's return is calculated using the formula: StDev(R) = √Var(R) = √σR^2.
claimStandard deviation is a measure of risk calculated as the square root of variance, expressed in the same units as the return percentage, making it more intuitive to interpret than variance.
formulaThe variance of return on an asset, when probabilities are given, is calculated using the formula: Var(R) = σR^2 = Σ [pi * (Ri - E(R))^2], where pi is the probability of outcome i, Ri is the return of outcome i, and E(R) is the expected return.
claimFinancial risk is commonly measured using statistical tools such as variance and standard deviation, which quantify the variability of returns around their average.
Chapter 8 – Risk and Return – Fundamentals of Finance pressbooks.pub 2 facts
formulaBeta (β) is calculated using the formula: β = Cov(Ri, Rm) / Var(Rm), where Ri is the return of the individual stock, Rm is the return of the market, Cov(Ri, Rm) is the covariance between the stock and market returns, and Var(Rm) is the variance of the market returns.
formulaA stock's beta is calculated using the covariance of the stock's returns with the market returns divided by the variance of the market's returns.
Wealthfront Classic Portfolio Investment Methodology White Paper research.wealthfront.com Mar 9, 2026 1 fact
formulaThe variance of a portfolio is determined by the variances of the individual asset classes and the covariance matrix, which captures how the asset classes move in relation to one another.
Risk-Return Tradeoff: Finance & Investments | Vaia vaia.com Sep 20, 2024 1 fact
claimModern Portfolio Theory mathematically approximates risk through variance to assist in making informed investment decisions.
A Comprehensive Review of Neuro-symbolic AI for Robustness ... link.springer.com Dec 9, 2025 1 fact
claimUnder adversarial attacks or distributional shifts, increases in metrics such as predictive entropy and variance indicate a machine learning model's uncertainty and potential struggle to produce reliable predictions.