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.
20,364 documents
The document considers how to estimate a high percentile of absolute daily returns when the available sample is short and the desired tail quantile lies beyond what the observations can reliably show. Because the estimate requires extrapolation, it…
The question compares a probability shown by the CME FedWatch Tool with a calculation based on a fed funds futures price, the effective rate for part of the month, and the number of days affected by a rate decision. The author finds that the calculation…
The document asks how to derive the conditional expectation of the future integral of squared standard Brownian motion using Itô’s formula and a partial differential equation. The key correction is that this conditional expectation is not itself a…
The document asks how a long straddle could produce positive profit when the underlying finishes at the strike and the option expires worthless, despite high volatility during the holding period. One explanation is dynamic delta hedging: as the underlying…
The document considers how to construct dollar bars when only minute OHLCV data is available. One proposal estimates each minute’s traded value by multiplying volume by an average price, then combines minutes until their estimated dollar value reaches a…
The document poses a question about the relationship between instantaneous forward rates and the short rate in a zero-coupon bond framework. It writes the bond price in two forms: as the exponential of the negative integral of forward rates, and as the…
The document discusses errors encountered when using an R interface to Ox for fitting GARCH models, including FIGARCH and possibly FIEGARCH specifications. The reported failures include undeclared file input and output functions in an Ox source file and a…
The document considers how to evaluate a multi-agent stock market simulation against historical prices for large companies across several sectors. The question proposes matching the volatility of simulated prices to observed volatility while also checking…
The document recommends *Active Portfolio Management* by Richard Grinold and Ronald Kahn as a possible preparation for graduate study in asset pricing and portfolio choice. The original question asks for a book that is accessible to a beginner yet rigorous…
The document examines whether a discounted option value in the Black–Scholes model is a martingale. Applying Itô’s formula and the Black–Scholes partial differential equation leaves a stochastic integral whose integrand contains the stock price and the…
The document asks how to calculate an ex-ante Sharpe ratio from simulated return paths: from compounded total returns across paths, or by calculating a Sharpe ratio along each path and averaging those ratios. The response emphasizes that the conventional…
The document discusses whether option delta can approximate the probability of profit for multi-leg positions. Its example uses a call debit spread: the response treats the short strike’s delta as a rough chance of reaching the spread’s maximum gain and the…
The document considers how to hedge a leveraged liability whose value depends on a basket of two assets and U.S. dollars. It questions whether a hedge based on the assets’ historical correlation is reliable, especially if that relationship changes. The…
The document asks whether range-based estimators such as Garman–Klass can be combined with EWMA or ARCH-family models, and whether a dynamic volatility model is still needed when using such estimators. The response points to research that incorporates…
The document considers how to choose both a signal threshold and the future return horizon when evaluating a trading hypothesis. It warns that searching many combinations can amount to data mining and produce overfit results, while acknowledging that there…
The document derives the dynamics of EUR/USD from a model for USD/EUR. It assumes the USD/EUR exchange rate follows geometric Brownian motion with drift r and volatility σ, then represents the reciprocal exchange rate as 1/S. Applying Itô’s formula to that…
The document works through the moving-average representation of fractional Brownian motion and asks how to simplify the variance of an increment between two ordered times. It splits the stochastic integral into regions before the first time and between the…
The document raises a research concern: option pricing models may be proposed without being tested against market data or compared with established alternatives. It notes that affordable options data can be difficult to obtain, while arguing that empirical…
The document asks whether stock returns can be rescaled to look more normally distributed and describes an attempt to reproduce a published method on S&P 500 returns. The approach clips each return at a multiple of an evolving volatility estimate, updates…
This document describes a simulation problem: generating several correlated variables from a Sobol quasi-random sequence in MATLAB. The author contrasts a Cholesky-based transformation of standard normal draws with an attempted method that transforms Sobol…
This discussion addresses the difficulty of finding dependable Chinese economic indicators for strategy research. The question lists areas of interest including credit, materials, durable goods, GDP composition, government spending, housing, and personal…
This document presents a method for estimating the parameters of an Ornstein–Uhlenbeck process from an equally spaced historical time series. It defines the process through a mean-reverting rate, a long-run level, and a volatility term, then gives formulas…
The document surveys software options for developing and evaluating trading strategies in C++. It names QuantLib, Boost, Armadillo, Intel MKL, Eigen, and TA-Lib for quantitative, numerical, and technical-analysis work. It also mentions TradeStation for…
The discussion concerns setting settlement days explicitly when constructing QuantLib swap rate helpers for a USD LIBOR curve. It notes that the default can come from the index’s fixing days, and the original question asks how to use zero settlement days…