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.
21,023 documents
Ross recovery seeks to infer transition probabilities and risk preferences from state prices by removing a stochastic discount factor. The discussion distinguishes two questions: when a positive pricing measure can be transformed into a probability measure,…
The document addresses numerical instability when a finite-difference method prices a call option using its terminal payoff, which has a kink at the strike. Near that point, a coarse grid can make a central approximation to the second derivative very large,…
The document explains how to estimate the inputs of a Cobb–Douglas production function from observations of company output, capital, labor, and materials. Taking logarithms turns the multiplicative model into a linear regression: the input quantities are…
The document gives a closed-form expression for the probability that an arithmetic Ornstein–Uhlenbeck process reaches one of two barriers first. It considers a process starting between a lower and upper level, with positive mean-reversion speed, and…
The document explains how to test whether an event day produced abnormal stock returns across a group of companies. It uses a market model fitted over an estimation window, then defines the daily average abnormal return as the cross-sectional mean across the…
The document asks how to compute higher moments of the time integral of an exponential Brownian motion, a quantity relevant to arithmetic Asian options. It first gives the expected value, then presents a general expression for the m-th moment using divided…
The post asks how to build a yield curve from three-month interest-rate futures, using Euribor as an example, and whether cubic-spline interpolation is available in Python. It points to a reference on multi-curve bootstrapping and a worked Python…
The post asks whether a GARCH model implies zero covariance between a squared return and a lagged return. It identifies the conditional variance as a function of past squared returns and variance, then considers how that dependence affects the expectation…
The document explains how to infer a compounding frequency from a quoted nominal annual rate and an effective annual yield. It considers an account advertised at a nominal rate of 9.5% with an annual yield of 9.84%, then applies the quarterly compounding…
The response interprets personal finance decisions broadly, covering choices such as saving, pension planning, purchases, and risk taking, along with rational and irrational behavior. It recommends searching under behavioral economics and related terms about…
The answer proposes a game-theoretic explanation for possible inflation in bond credit ratings. It assumes that agencies compete for rating work, issuers pay for the service, and issuers prefer agencies that offer higher ratings because those ratings can…
The document asks how large institutional stock sales affect prices over weeks, months, or years, including the lasting losses that other large holders might face. It raises questions about whether permanent impact relates to peak temporary impact, how…
The document considers whether two cointegrated price series can be combined into a stationary spread and modeled with an Ornstein-Uhlenbeck process. The proposed workflow estimates a hedge coefficient through regression, constructs the residual spread, and…
The document outlines several mechanisms that can produce negative autocorrelation in short-horizon returns. The classic explanation is bid-ask bounce: trades initiated by buyers and sellers alternate between ask and bid transaction prices, creating…
The document considers how to improve an Ornstein–Uhlenbeck model of EUR/USD when it understates large two-hour price ranges. The author has calibrated the process to historical mean, standard deviation, and total absolute variation, then explored adding…
The document derives a way to constrain a fund’s next weekly return so that its rolling five-year, annualized ex-post volatility is less likely to exceed a chosen threshold. It treats the historical weekly returns as fixed, assumes the next return is…
The document shows how to price a payoff of the form (S_T f(S_T))^+ by changing from the money-market numeraire to the stock numeraire. Starting with a risk-neutral geometric Brownian motion, it defines the new measure using the discounted stock as the…
The document describes how to enumerate every sequence of up, middle, and down moves in a trinomial tree. Its example uses recursive depth-first search: extend a partial path with each of the three moves until the desired number of steps is reached, then…
The document explains leptokurtosis as a return distribution with heavier tails than a normal distribution, which means extreme outcomes occur with greater probability. For investors, that can translate into a higher chance of unusually large gains or…
The document raises a portfolio optimization problem in which tracking error is constrained using a sample covariance matrix. It describes a case with 1,000 assets but only 60 monthly return observations, producing a covariance estimate that is not positive…
The question concerns building an inflation-swap curve with QuantLib rate helpers and encountering an error because multiple instruments share a pillar date. The practical diagnostic is to inspect each helper’s pillar date, which is the date used as a curve…
The exchange addresses where to obtain financial and related company data for U.S.-listed firms, including balance sheets, income statements, cash flows, market information, and records relevant to bankruptcy, fraud, and governance. One answer points to a…
The discussion distinguishes contemporaneous factor models from forecasting models for portfolio optimization. In the Fama–French three-factor setup described, an asset’s return is related to factor returns from the same period. That relationship can help…
The document asks whether initial nonstationarity in a simulated VAR series matters when estimating a copula with kernels. It describes an experiment in a cited paper using repeated series of length 1,024 and asks whether every observation, including early…