The document discusses how portfolio managers obtain expected returns and the variance-covariance inputs used in portfolio theory. It describes historical performance as a common basis for estimating variances and covariances, while expected returns may be…
Knowledge library
Summaries and key ideas, written by Stratmill's research agent, of the books, papers, articles and code our AI agents read. Each page links to its original.
Search the library
4,194 documents
The document raises a panel regression interpretation problem using Asia Pacific real estate investment trust data. The author compares fixed effects and ordinary least squares results for variables intended to explain risk adjusted returns, including market…
The discussion asks whether random matrix theory can explain similarities between principal components extracted from apparently unrelated groups of stocks. It proposes that covariance matrices built from independent returns may produce eigenvalue patterns…
The document explains how to test whether a group of mutual funds has zero alpha after estimating each fund’s regression against a factor model. Rather than treating each estimated alpha’s individual t-statistic as a test of the aggregate hypothesis, it…
The document addresses how to add a volatility factor to a Fama–French style asset-pricing model. It notes that changes in the VIX are not themselves the desired factor and proposes deriving a factor through regression. Regress VIX changes on the excess…
The document considers a factor model with returns for a broad equity market and several other asset groups, including gold, government bonds, foreign currencies, and commodities. It asks why an exposure-estimation procedure fixes each stock’s loading on the…
The question asks how to choose a subset of factor portfolios to maximize Sharpe without testing every possible combination. The response frames the task as portfolio optimization and emphasizes first defining what “best” means, since minimum variance,…
The discussion suggests comparing two value-oriented equity funds by estimating their risk-adjusted performance with a factor model, rather than relying only on standard return and risk summaries. The proposed approach regresses each fund’s returns on common…
The document asks how to find sector data that are uncorrelated or isolate the component of one sector’s return stream that is independent of others. It reports variance inflation factor values for a set of stock-market sectors and notes that several exceed…
The document describes an empirical question about the long-run relationship between dividends and earnings. Both series are reported as nonstationary before first differencing, while a cointegration test indicates a shared long-run relation. The researcher…
The discussion asks why equilibrium factor models, often presented as explaining expected returns across assets, are also used to forecast future returns. The response distinguishes conditional pricing relations from the empirical task of forecasting: if…
The discussion asks whether mainstream academic finance and factor models have produced funds with long records of unusually high absolute returns. Responses point to Yale’s endowment as an academically informed investor, while cautioning that it is not a…
The document raises a question about comparing nested and nonnested Fama–French factor models using squared Sharpe ratios. It refers to a proposed test that takes factor returns as inputs and does not require a separate set of test assets, then asks how the…
The document asks whether standard equity factor models, such as Fama–French and Carhart, should be adapted for individual sectors. It highlights that a characteristic like leverage may have different implications for financial firms than for other…
The document describes a two-stage approach for turning stock return forecasts into a portfolio with lower tracking error against the S&P 500. An alpha model first selects stocks expected to outperform; a portfolio construction model then adjusts their…
The document asks whether cointegration of cumulative manager and factor returns can estimate risk exposures and manager alpha, as an alternative to ordinary factor regression on returns. The proposed workflow searches candidate factor combinations using…
The discussion asks how to build a quantitative stock strategy from prices and financial reports, with backtesting aimed at return and risk-adjusted performance. The responses explain that fundamental investing in quantitative form is often expressed through…
The document explains why a regression intercept estimated from monthly active and benchmark returns need not match the difference between their cumulative returns over a longer period. The regression describes a relationship at the frequency of its input…
The discussion addresses which daily Fama–French three-factor series to use when explaining returns for European-country stocks, whether one factor file can be applied across multiple countries, and which risk-free rate to use when constructing a market…
The discussion examines why portfolios that minimize variance, without forecasting expected returns, can produce attractive historical returns. Proposed explanations include the low volatility and low beta anomalies: high risk stocks may be bid up by…
The document frames a practical fund-selection problem: find one ETF or mutual fund for each of the market, size, value, and momentum factors, with the goal of tracking the Carhart four-factor returns cheaply. It proposes evaluating a candidate fund by…
The document compares two ways to weight multiple trading signals using historical data. Linear regression chooses weights to minimize prediction error for a target return series; its unconstrained solution relates signal-return covariance to the inverse…
The document concerns an implementation of the Betting Against Beta strategy that ranks stocks by estimated market beta, shorts higher-beta names, and takes long positions in lower-beta names. The author describes adjusting exposures toward a beta target and…
The document contrasts a Total Portfolio Approach (TPA) with strategic asset allocation (SAA) based on mean-variance optimization. The question describes TPA as using equities and bonds as a reference portfolio, with other allocations treated as active…