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.
5,922 documents
The document describes adding an L2 penalty to a minimum-variance portfolio objective. The penalty is proportional to the squared asset weights, discouraging concentrated allocations and creating a trade-off between minimizing modeled variance and keeping…
The document defines portfolio exposure measures using the dollar values of long positions, short positions, and cash. Long value is aggregated as a positive amount, while short positions are treated by their absolute dollar value when calculating total…
The document asks how to model VIX futures for portfolio risk management, with emphasis on estimating volatility and correlations rather than pricing. The answer favors empirical historical return distributions because they reflect real-world probabilities,…
The document raises how to estimate a portfolio’s expected daily movement in dollars from historical asset prices and current positions. Its portfolio contains long and short exposures, and some instruments have contract multipliers that make one unit…
The document addresses how to quantify diversification for a portfolio with more than two securities. It presents portfolio return variance as a function of asset weights, individual return variances, and pairwise correlations. This captures how co-movement…
The document explains how in-sample and out-of-sample estimates apply to mean-variance optimization (MVO). In-sample results evaluate portfolio weights on the same historical data used to estimate or optimize them, while out-of-sample results evaluate…
The answers describe uses of volatility outside options trading, focusing on risk measurement rather than forecasting the direction of prices. Higher volatility signals that returns may fluctuate more, so a trader targeting a fixed amount of risk may need to…
The document compares a conditional Markowitz optimization, using estimated expected returns and a covariance matrix to choose next-period weights, with an approach that maximizes average realized portfolio returns penalized by squared deviations from the…
The document asks whether correlations for a portfolio holding stocks quoted in Brazilian reais, euros, and US dollars should be calculated from each stock’s local-currency returns or from returns converted into the portfolio’s base currency. One response…
The document asks whether portfolio optimization could use the mode of asset-return distributions instead of expected returns. Its motivation is that, for a skewed lognormal distribution, the mean can exceed the mode, and the author reasons that an investor…
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.…
This document formulates continuous dollar-cost averaging when the stock price follows geometric Brownian motion. With a constant contribution rate, each contribution buys shares at the prevailing price; the final portfolio value can be represented as the…
The document discusses a portfolio optimization problem with several risky assets, a covariance matrix, and different rates for risk-free lending and borrowing. The questioner has computed a minimum-variance portfolio and tries to use covariance-matrix…
The document asks how to calculate daily returns for a changing, equally weighted long-short stock portfolio. It gives an example with three long positions and one short on the first day, followed by one long and two shorts on the next day. The proposed…
The document examines whether standard deviation and variance can be treated as equivalent measures of portfolio risk. In mean-variance optimization with a fixed target for one measure, the other gives the same ranking because each is a one-to-one…
The document considers selecting a small, equally weighted currency-pair universe from a larger candidate set, aiming to reduce average pairwise correlation. The original approach enumerates every fixed-size combination, computes each basket's correlation…
The document explains a direct way to represent custom amortization when constructing a fixed versus floating interest rate swap in QuantLib. The key idea is to provide each leg with a sequence of notionals aligned with its payment schedule, allowing…
The document asks how macroeconomic indicators might inform long/short equity positions, stock or sector weights, and sector rotation. It frames macro data as a potential input to an existing quantitative allocation process, such as mean-variance allocation,…
The document asks why a principal component analysis of currency returns does not produce an eigenportfolio resembling a steadily rising chart shown in an external example. The question describes synchronizing asset prices, converting them to returns,…
The document presents an infinite-horizon portfolio-control problem with time-varying covariance risk, quadratic trading costs, a discount factor, and a constraint that portfolio weights sum to one. The question asks how to use a quadratic value-function…
The document describes an Excel setup for finding a portfolio with a specified annual volatility from three risky assets and a risk-free asset. It outlines how to use estimated expected returns and an annual covariance matrix, account for the risk-free…
The document addresses benchmark selection for comparing multi-asset strategies when separate equity, commodity, and fixed-income indices do not provide a single global reference. The question also considers constructing a blended benchmark, such as an…
The document discusses two practical choices in historical scenario analysis for stressed value at risk using a crisis period: what to do when a portfolio asset lacks price history for the selected scenario, and which portfolio exposures to apply. The…
The document addresses how to calculate the future value of recurring deposits made monthly when the deposit amount increases once per year while interest accrues monthly. It presents two approaches for handling the mismatch between payment frequency and…