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.
12,303 documents
The document surveys ways to obtain exposure to volatility using options. One straightforward approach is to hold an at-the-money straddle and delta hedge it, while recognizing that its volatility sensitivity changes as the underlying moves away from the…
The document asks how to price several option payoffs that depend on the underlying asset at two future dates, with a fixed constant also appearing in maximum and minimum terms. The valuation time precedes both dates. The author wants to know whether the…
The document considers fitting a multivariate GARCH model to Russian exchange-rate and stock-index data whose observations fall on different dates because of holidays and market schedules. It presents two broad ways to align the series: aggregate to a…
This discussion describes fitting a SABR volatility surface to options on SOFR futures. The workflow solves for implied Black or Bachelier volatilities at selected out-of-the-money strikes, calibrates SABR with QuantLib, adjusts parameters by hand, then…
The document addresses a Bloomberg settings question about valuing interest-rate caps and floors when the model is labeled Black-Scholes-Merton and volatility is set to Normal. The response says those choices are not combined: Bloomberg changes the settings…
The document explains how foreign exchange volatility surface expiries are dated relative to currency settlement conventions. It distinguishes weekly tenors, which are counted from the current date, from monthly and yearly tenors, which are counted from the…
The document asks how to interpret VVIX, an index representing the market’s expected volatility of VIX, and compares two informal explanations. One describes volatility of volatility as uncertainty about how the size of daily price moves may change. The…
The document considers whether a paired samples t test can assess the difference in average returns between an unscaled series and returns multiplied by time-varying portfolio weights. The weights depend on recent volatility and target a chosen portfolio…
A Bermudan option can be exercised on several specified dates. Its value is not generally the highest value among European options with matching individual exercise dates. Taking that maximum amounts to choosing a single exercise date at the outset and…
The document addresses unstable Heston model calibration: very large mean-reversion and volatility-of-volatility parameters can fit a volatility surface well even when the values lack a plausible market interpretation. It notes that stochastic-volatility…
The document explains how to read implied volatility quotes for a one-year-into-five-year SOFR swaption under Bachelier and Black conventions. In the normal model, a quoted volatility of 136 corresponds to a one-year standard deviation of about 1.36…
This document discusses which price series should be used to estimate volatility for the Black model and whether volatility needs to be annualized. The responses emphasize matching the volatility estimate to the instrument used for hedging: a hedge based on…
The document examines the Greeks of a forward variance swap built from two spot-starting variance swaps. It questions how the position can have approximately zero dollar gamma and declining vega while still carrying theta. The response distinguishes model…
The volatility smile records how market implied volatility varies across option strikes. The document explains that reproducing this pattern is a practical test of an option model: the smile is a widespread market feature, observed across asset classes, and…
The document asks whether steep contango in nearby VIX futures as a contract approaches expiration can serve as a useful market-timing signal. The response explains that a VIX futures price reflects the market’s pricing of expected S&P 500 realized…
The document explains how to turn a one-step ARMA-GARCH point forecast and volatility estimate into a forecast interval when standardized innovations follow a skewed generalized error distribution. The conditional return is modeled as an ARMA mean plus a…
The document describes a Monte Carlo implementation of the Heston stochastic-volatility model, using an exponential stock-price step and an Andersen moment-matching update for variance. The author observes that simulated variance trends downward when…
The discussion compares pricing approaches for forward-looking LIBOR-style caplets and backward-looking caplets based on compounded overnight rates such as SOFR. It describes using Hagan implied-volatility approximations with SABR parameters, then adjusting…
The document explains why an option’s realized gamma PnL depends on the actual movement of the underlying, while the implied volatility used to price and mark the option is a model input. Under a fixed-volatility model, an Ito expansion attributes changes in…
The document discusses how OTC FX option quotes are organized around standard expiries and delta-based volatility quotes, while positions can age into non-standard dates. Responses explain that off-grid pricing depends on the client or dealer context, trade…
The document discusses how to update the damping parameter in Levenberg–Marquardt calibration of the Heston stochastic volatility model. The question compares a cited Heston calibration procedure, which raises damping after rejected steps but leaves it…
The document investigates why a finite-difference Black–Scholes engine in QuantLib can return a different theta for an option priced from a Black variance surface than from a constant volatility equal to the surface’s volatility at that strike and expiry. In…
The discussion considers how to estimate an option implied volatility surface when the target asset has spot history but no option data, while related assets have observable option surfaces. It presents break-even volatility, or fair skew, as a way to infer…
The answer distinguishes statistical risk analysis from no-arbitrage derivative pricing. For portfolio risk measures such as value at risk or expected shortfall, analysts generally model outcomes under the real-world probability measure, informed in some way…