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.
2,013 documents
The document derives the familiar annualization rule for covariance of asset log returns: multiply the per-period covariance by the number of periods in a year. It uses the covariance-of-sums identity. When returns within each period may co-move but returns…
The document asks how to build a non-USD discount curve for EUR/USD and GBP/USD mark-to-market basis swaps collateralized in USD. The proposed construction uses forward rates for the short end and cross-currency basis swaps at longer maturities. The central…
The document outlines a workflow for evaluating a portfolio under non-parallel interest rate shocks. Start with specified scenarios, apply the tenor-specific shifts to the relevant curves, reprice affected instruments, and measure the resulting price…
The document asks how to generate observations from a four-factor t-copula when the dependence matrix changes over time. Its setting is a series of 2,000 correlation matrices from a copula-DCC model, with one matrix intended for each time step. The accepted…
The note addresses why variance minimization can help find cointegrating combinations among nonstationary series. It explains that when a cointegrating relationship exists, the coefficients can be estimated super-consistently, giving more flexibility in how…
The discussion considers how to simulate returns for a portfolio containing many equities and bonds while retaining realistic dependence across assets. The initial proposal estimates historical means, standard deviations, and correlations, draws multivariate…
The document concerns retrieving historical interest-rate curve values through Bloomberg’s TIA Python wrapper. The curve field shown in the question returns a current value, and the accepted response says that the relevant ICVS curves are not available…
The document derives an index’s single-period total return from security weights, price changes, and income. It rewrites each holding’s contribution as the sum of its price return and income return, then takes the weighted sum across holdings. This makes the…
Black–Litterman needs equilibrium weights for a market portfolio to infer implied returns. When the investment universe contains a mix of assets such as stocks and bonds, market capitalizations may be unavailable or hard to compare, so the document…
The document explores whether investor reallocation can explain spillovers between asset returns. It starts from a mean-variance utility model and derives an unconstrained relationship between an investor’s holdings in two assets: the sensitivity of one…
This discussion addresses why a consumer price index can look nearly linear over a selected historical period even though a constant positive inflation rate would compound. It distinguishes an index level from the inflation rate: sustained target inflation…
The document explains how to simulate two correlated asset paths under geometric Brownian motion. It starts with a covariance matrix encoding each asset's volatility and their correlation, then factors that matrix with a Cholesky decomposition. Multiplying a…
This community discussion describes several routes into quantitative finance, including transitions from computer science, physics, statistics, and other academic or commercial backgrounds. It stresses that “quant” covers distinct jobs, from derivatives…
The document explains how portfolio theory can be adapted when holdings and weights change over time. It describes dynamic optimization as repeatedly estimating allocations at scheduled rebalancing dates, using data available up to each date, rather than…
The document considers whether high and low prices can improve correlation estimates from OHLC bars. Its central point is that open and close observations have known timing, while the relative timing of each asset’s high and low is unknown. A joint estimator…
The document asks how to interpret cross-asset moves after an FOMC announcement and whether deleveraging can be measured through changing covariance, signal responses, or trend formation. The response cautions against explaining market moves with a single…
The discussion considers GPU selection for parallel quantitative finance workloads, with the original question asking whether hardware should favor multiplication over addition. One answer suggests that for MATLAB or Python on a single machine, the…
This document identifies financial laws and regulatory frameworks that may affect investment advisers, European financial firms, commodity markets, anti-money-laundering work, taxation, broker-dealers, and securities exchanges. Its examples include US…
The note addresses how to find aggregate market-size figures for structured products across product categories. The answerer says they do not know of a global estimate and points instead to European industry data compiled from national market figures. This…
The document asks how to apply multidimensional Itô’s lemma when a function maps a vector of stochastic processes to another vector. It illustrates the question with a vector of assets divided by a stochastic numeraire, a transformation that can arise when…
The document asks about obtaining long historical daily price series across thousands of instruments and several asset classes. The response says that paid vendors do offer historical datasets, but that assembling prices is only part of the task. Data…
The document poses an idealized optimization problem: given the historical prices of a small set of assets over a fixed interval, find the sequence of trades that maximizes terminal wealth from an initial cash amount. The investor may hold up to a limited…
The document describes how to combine three asset return series into a portfolio index with fixed weights of 50%, 25%, and 25%. It recommends calculating each asset's simple percentage return, taking the weighted sum at each time step, adding one to obtain…
The document explains how to simulate two correlated Hull–White short-rate processes, such as rates for two currencies, using QuantLib. Its suggested construction combines separate Hull–White processes in a stochastic process array and supplies a correlation…