The document examines why mean-variance optimization remains influential even though equal-weight portfolios have often performed competitively in empirical comparisons. One explanation is that Markowitz’s framework established the theoretical value of…
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The document compares two proposed approaches for monthly minimum-variance stock portfolios: estimating individual variances with GARCH while using historical covariances, and modeling returns with daily Fama–French factors and regression residuals. It asks…
The document addresses why minimum variance weights can be used to estimate a factor return, even though factor models are often associated with explaining common variation. Its explanation distinguishes common factor exposure from diversifiable…
The document asks where to obtain historical GICS sector fundamentals, particularly point-in-time price-to-book ratios. Reconstructing those values from individual companies would require knowing which securities belonged to each sector at each date, making…
The document asks whether a carbon risk factor improves a Fama–French three-factor equity model after adding it raises the regression R². It outlines spanning regressions: regress the candidate factor on the existing factors and examine whether its intercept…
The discussion examines why a replication of the Fama–French five factor study for Europe produced different average excess returns for the same stated period and portfolio sorts. The researcher subtracts the Europe dataset's risk free rate from each of 25…
The document explains two related asset-pricing concepts. A risk is priced when investors receive an average premium for bearing its exposure; in the CAPM example, beta is priced if higher-beta stocks are expected to earn higher long-run returns. A pricing…
The document outlines how to extend a CAPM pricing test by treating each asset’s idiosyncratic return variance as an additional factor. It adapts a GMM setup in which time-series moments estimate asset betas and residual variances, while cross-sectional…
The discussion distinguishes stock size from trading liquidity when adjusting return regressions. The SMB factor captures exposure associated with small firms, but it is not a direct measure of infrequent trading: a large company can still have a thinly…
The note explains why Fama–French portfolio returns are regressed on estimated factor loadings in a second stage. Sorting portfolios by size or value can produce return differences, but those differences alone do not show that the corresponding factor earns…
The document surveys open research questions in market microstructure, organizing them by the role of exchanges, asset managers, traders, and market makers. For exchanges, it highlights how fee schedules might attract liquidity and how auction design might…
The document compares three ways to estimate returns for portfolio weight decisions: averaging historical returns, using CAPM or other asset pricing models, and forecasting earnings through stock valuation. It presents each as a possible input, while…
The document describes a framework for connecting firm fundamentals with stochastic financial models. It starts with a simplified firm that can operate, invest in production assets, or disinvest as an underlying productivity or demand variable changes. These…
The document clarifies that momentum strategies can be quantitative even when they use moving averages. It notes that moving average approaches range from simple and exponential forms to calculations on irregularly spaced tick data, as well as models that…
The document examines the role of diversification in deriving the Arbitrage Pricing Theory (APT) from a linear factor model. In the setup, each asset return consists of an intercept, factor exposures, and an idiosyncratic component. The target relation…
The post asks whether the historical stock data behind Kenneth French’s factor library avoids the pre-1962 selection bias that Fama and French identified in earlier Compustat data. The concern is that the older Compustat sample overrepresented large firms…
The discussion asks whether stock prices tend toward an intrinsic value calculated with hindsight from realized cash flows. It outlines a discounted cash flow framework: estimate future cash flows, discount them, account for cash and debt, and represent…
The document considers how to optimize a bond portfolio spanning government and corporate debt, credit ratings, and maturities. It outlines a mean-variance approach using asset returns, yields, durations, and risk tolerance, with constraints to control which…
The document addresses a regression problem in which market or company observations are monthly while accounting fundamentals, such as price-to-earnings, book value, and cash flow, arrive semiannually. It points to mixed-frequency econometric methods as ways…
The document raises a practical factor-validation question using a stock-ranking signal assigned scores from one to ten and evaluated against five-day returns over a three-year sample. It reports observations, trading days, average returns, and return…
The document explains why Fama-French factor portfolios use NYSE stocks to set market-value breakpoints instead of sorting all stocks across exchanges together. The historical CRSP coverage of NYSE stocks began earlier than its coverage of Amex and Nasdaq.…
The document asks whether the Gibbons, Ross, and Shanken test can be applied when regression residuals are non-normal and autocorrelated. The setup uses ten test assets and compares residuals from regressions on a three-factor model and a Carhart model. It…
The answer derives a stock growth estimate by linking return on equity to return on assets and financial leverage, then multiplying by the earnings retention rate. It starts from the DuPont relationship: return on equity equals return on assets times total…
The document points readers seeking quantitative analysis of equity long-short hedge funds toward a multi-factor risk model whitepaper. It describes the model as a framework for measuring strategy exposures, with sector factors and style factors that include…