The document explains kurtosis as a measure of how heavy or light a return distribution’s tails are relative to a normal distribution. It distinguishes ordinary kurtosis from excess kurtosis, for which the normal distribution is the zero baseline, and…
Knowledge library
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.
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12,303 documents
The document introduces the Heston model as an option-pricing framework that allows both the underlying asset price and its variance to evolve stochastically. Unlike constant-volatility Black–Scholes, it models variance as mean reverting, with random…
The article examines market effects associated with the early COVID-19 outbreak and the Russia–Saudi Arabia oil price dispute. It describes calculating average forward returns after historical drawdowns: compute cumulative returns and running peaks, identify…
This article introduces exotic options as contracts whose payoff, exercise conditions, or underlying can differ from standard calls and puts. It describes barrier options, which activate or expire when a price threshold is reached; binary options, which pay…
This overview explains index options as contracts whose value depends on a market index, and describes how they can be used to speculate on index moves or hedge exposure. It distinguishes index options from options on individual stocks and surveys broad…
The article describes three sentiment measures and proposes contrarian trades based on them. VIX is presented as an options-derived estimate of expected S&P 500 volatility; high readings are associated with fear and falling prices, while low readings are…
This article explains why index volatility depends on both the volatility of constituent stocks and the correlation among them. When stocks move more independently, their individual volatility can rise without a comparable increase in index volatility; when…
This interview traces Vijayakumar’s progression from early stock investments and repeated losses to options trading and work on algorithmic strategies. He describes learning through books and practice, then studying derivatives, Python, and quantitative…
This project tests an options dispersion strategy that compares BANKNIFTY implied volatility with the weight-adjusted implied volatility of its constituent stocks. The author estimates average implied volatility from first out-of-the-money calls and puts,…
The document explains the Black–Scholes model for pricing European call options. It introduces the main inputs—underlying price, strike, time to expiry, risk-free rate, and volatility—and describes how the formula combines the discounted strike with the…
The document explains seasonality as recurring price or return patterns tied to calendar periods and surveys several proposed effects: the Santa Claus rally, sell-in-May timing, weekday patterns, month-end and turn-of-month behavior, and a December pattern…
The article classifies market events as black swans (unexpected), grey swans (possible but unlikely), or white swans (expected), then considers how they may affect stocks, bonds, and derivatives. It suggests that strategies should reflect how much warning…
The article explains how standard GARCH models capture volatility clustering while treating positive and negative return shocks symmetrically. GJR-GARCH adds a term activated by negative shocks, allowing downside moves to have an additional effect on…
The article describes directional change (DC), a threshold-based way to represent price movement through confirmed turning points rather than fixed-time observations. It defines upward and downward runs, their overshoots, and three derived measures: total…
The article introduces hidden Markov models as a way to infer unobserved states from observed data. It explains the Markov property, transition probabilities, and time-homogeneous chains, then relates hidden-state estimation to the Kalman filter’s prediction…
The article explains standard deviation as the square root of variance and a measure of how dispersed observations are around their mean. It distinguishes population and sample calculations, describing Bessel’s correction for samples, and notes that standard…
This project uses a Gaussian Hidden Markov Model to classify market conditions as high or low volatility, then applies those classifications to a moving-average crossover strategy. Daily returns serve as the observable input, although the author also…
This project describes dispersion trading as a relative value strategy that trades options on an index against options on its component stocks. It estimates implied volatility from nearby option strikes using Black–Scholes, combines component volatilities,…
The document outlines a session on managing option portfolios that span multiple instruments. Its stated focus is on Delta and Gamma, including how market characteristics affect their behavior, and on making several higher-order Greeks easier to understand:…
This project describes a dispersion strategy using Bank Nifty options and options on its constituent bank stocks. It compares implied volatility across the index and its components, using implied correlation as a signal: high correlation points toward…
The document introduces a Bayesian time-varying parameter vector autoregression with stochastic volatility (TVP-VAR-SV). Unlike a standard VAR with fixed coefficients and constant error variance, this model allows lag relationships, contemporaneous…
The article introduces mixture models as a possible framework for forecasting asset returns when their statistical behavior changes over time. It notes that returns can exhibit changing means and volatility, nonlinear patterns, volatility clustering,…
This lecture description introduces advanced options portfolio management through the use of first-, second-, and third-order Greeks. It notes that risk can be managed by examining how portfolio exposures respond to underlying factors, including how…
This tutorial explains how an ARIMA model represents a univariate time series through autoregressive terms, differencing, and lagged forecast errors. Its proposed workflow tests price-series stationarity with sequential Augmented Dickey-Fuller tests, uses…