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.
8,116 documents
The document outlines practical challenges for a firm moving from vendor-provided end-of-day data to live feeds from exchanges. Direct access means handling exchange-specific formats and APIs, building and maintaining parsers, and arranging network…
The document asks whether returns that are highly skewed or fat-tailed over short intervals become more normal when compounded over a longer period. It describes an example of accumulating weekly yields across a year and observes that, when yields are…
The document raises a question about what option open interest represents across different stocks. For small-cap options, the author sees open interest mainly as a sign of liquidity. For highly traded large-cap names, where liquidity may be less limiting,…
The document clarifies what an implied volatility function calibrated to vanilla options can and cannot establish. If the model is recalibrated to match vanilla option prices across strikes and maturities, it reproduces the risk-neutral distribution of the…
The document explains implied correlation as a measure of how closely investors expect the assets in an index or portfolio to move together. It distinguishes correlation indices, which can be calculated from index and constituent options, from correlation…
The discussion considers a bond where the holder’s put and the issuer’s call are available on the same date at the same price. The response says such structures are relatively common, including in convertible bonds, and that the shared exercise date can…
The discussion clarifies why dollar gamma is intended to measure convexity exposure rather than every change in the dollar value of delta. For a small spot move, the change in the number of delta shares is multiplied by the starting spot to express the hedge…
The document concerns taking a Bachelier call option’s partial derivative with respect to strike and finding a mismatch between two reference results. The resolution is that the sources use different stochastic differential equations: one includes a drift…
The document examines a gap option with a trigger level that differs from the strike. Its payoff is zero below the trigger and equals the underlying price minus the strike above it. When the underlying finishes above the trigger but below the strike, that…
The document asks how to rigorously establish the Markov property for the Heston model’s joint stock-price and variance process, whose square-root variance dynamics do not meet the familiar Lipschitz conditions cited in many introductory SDE results. It…
The document asks whether predicting an option’s delta more accurately than Black–Scholes can create trading opportunities beyond improving a hedge. It frames the question with an example in which a model estimates delta at 0.4 while Black–Scholes gives 0.3,…
The document frames a thesis question about established, pre-neural-network approaches to calibrating stochastic volatility models, with particular interest in Heston. It asks for research areas and papers that could support a historical overview of…
The document examines a derivation that applies Itô’s formula to the discounted payoff of a call option inside a conditional expectation. It raises questions about when differentiation can be interchanged with expectation, how the payoff derivative enters…
The document compares finite difference methods with Monte Carlo for pricing options on baskets of assets. It explains the dimensionality problem: a finite difference grid grows rapidly with the number of underlyings, making multidimensional PDE methods…
The discussion explains how to express views on ECB decisions through overnight indexed swaps (OIS) spanning meeting dates. It distinguishes a view on the size of an individual meeting’s rate change, which could be structured as an option on a spread between…
The document shows how to count ordered outcomes for three six-sided dice according to their minimum value, then use those counts to reason about the expected payoff of a call-like contract with a strike of three. The counting method starts from rolls whose…
The document raises whether daily historical option prices can be approximated from historical closing prices of the underlying asset. It identifies Black–Scholes as one possible pricing framework and notes that the model requires implied volatility for…
The document poses a hedging problem for a one-year payoff that activates only if a stock falls at least 20% from its initial level. If that condition is met, the holder receives the positive excess of realized volatility over a threshold; otherwise the…
The document explains how to obtain the probability that a stock price modeled by Heston will finish above a specified threshold at a future date. In options terminology, this probability is the undiscounted value of a digital call on the modeled spot…
The document explains why forward Libor rates are often modeled as lognormal in Black’s framework, while clarifying that this distribution is a modeling choice rather than a requirement of no-arbitrage. By expressing a forward rate as a ratio of zero-coupon…
The question compares two ways to specify returns when modeling stock prices under the physical measure. A conventional GARCH model uses a constant conditional mean, with volatility changing through the variance process. An alternative adjusts the mean by…
The discussion surveys software and methods for testing options strategies, including multi-leg spreads. It explains why this work is harder than testing linear instruments: historical option chains are large, implied volatility histories may be unavailable,…
The discussion examines whether the risk-neutral measure, used to price securities, should also be used to forecast real-world returns. It argues for comparing predictive performance empirically rather than relying only on theoretical objections or strong…
The discussion distinguishes listed options from over-the-counter foreign exchange options. Conventional option chains are associated with listed contracts. Interbank FX options are predominantly over the counter and are usually quoted in implied volatility,…