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.
10,263 documents
The document poses a fixed-income valuation question involving two zero-coupon bonds with different maturities and the forward rate between them. It assumes that this forward rate is lognormally distributed under the measure associated with the…
The document explains how to construct put-option value curves at different times by repricing the option across a range of underlying spot prices. Under the stated assumptions of European exercise and no dividend or early-exercise concern, the Black-Scholes…
The document introduces the frozen-drift approximation in the LIBOR Market Model (also called the LIBOR Forward Model). Freezing drift can make calculations more efficient and treats swap rates as approximately lognormal, but it may distort the terminal…
The document investigates a mismatch between a discount factor calculated from a quoted zero rate and a displayed Bloomberg value. It compares two compounding conventions: periodic compounding and simple interest. Neither reproduces the displayed factor when…
The document answers whether the modified duration of an overnight index swap is zero or nearly zero. It explains that an OIS has a floating leg and a fixed leg, so the duration of the whole swap cannot be inferred from the behavior of the overnight floating…
The document explains why a forward and a futures contract on the same asset need not have identical prices when interest rates are stochastic. With deterministic rates, their prices generally agree in the idealized model; random rates can affect the…
The document addresses how to configure a barrier option whose barrier is active only during a specified portion of the option's life. The accepted response points to QuantLib-Python's partial-time barrier option class, which is intended for windowed…
The document asks how to recover a Brownian increment over a time step when the starting and ending values of a Cox–Ingersoll–Ross variance process are known. The accepted answer applies a positivity-adjusted Euler–Maruyama approximation to the CIR equation…
This document is a curated reading list spanning factor investing, trading and execution, volatility estimation, derivatives pricing, and commodity futures. It names influential papers and briefly describes their contributions, including multifactor asset…
The document considers how to relate sentiment derived from text analysis to a firm's credit default swap spreads. The question is whether to use par spreads or conventional spreads in a regression, and it notes that both may be quoted in basis points or…
The document explores how to model a stock under the physical measure as an exponential Lévy process, apply an integrated CIR clock, and then seek an equivalent martingale measure. It works through a Brownian special case with two shocks, one correlated with…
The document presents Fourier integral representations for European vanilla call pricing under the Heston stochastic-volatility model. One representation expresses the call through two probability terms whose characteristic functions depend on the current…
The note explains why a Treasury bill’s quoted discount rate does not reproduce its market price when inserted into a continuous-compounding formula. The displayed bill price is generated under a quote convention based on a simple discount calculation, while…
The note explains the issuer’s equity and funding exposure in an up-and-out autocall, framed through changes in the product’s expected duration. It assumes the buyer is short a put at maturity and defines funding as the market equity-funding component of the…
The document derives a conditional option value when a stock price is correlated with a stochastic discount factor built from an additional diffusion process. The discount factor’s log is expressed as a linear function of a Gaussian stochastic integral. Its…
The document addresses how stochastic volatility affects pricing of exotic options, including barrier and Asian contracts, and points to numerical methods as the central practical challenge. It identifies Monte Carlo simulation as a common approach: simulate…
The document explains why the premium of an at-the-money straddle is not generally equal to the dollar amount of a one-standard-deviation move. At expiry, a straddle pays the absolute distance between the underlying price and the strike. With the strike at…
The question describes a path-dependent contract with one payoff if the underlying stays above a barrier and a different payoff if it crosses below it. It asks how to balance the component instruments to give the contract zero initial value and how to solve…
The exchange concerns pricing an EUR/GBP option when EURIBOR is negative and asks whether converting quoted rates to continuously compounded rates requires taking a logarithm. The answer clarifies that the relevant transformation is the logarithm of one plus…
The document asks how to derive a European call price from its terminal payoff, beginning with the positive part of the difference between terminal asset value and strike. The questioner attempts to reduce the calculation to the probability that the terminal…
The document raises a question about how volatility affects the value of an in-the-money European call when the underlying return distribution is negatively skewed. The author observes that, under a variance-gamma pricing formula, increasing the volatility…
The document examines Black’s approximation for an American call on a stock with a known discrete dividend. The approximation takes the larger of two European call values: one calculated using the stock price reduced by the dividend’s present value, and…
The note explains how to select strikes for a costless collar using gold options. A collar pairs a long put with a short call whose premium offsets the put’s cost. There is an unlimited set of such strike pairs: for each positive put strike, a call strike…
The note outlines how to price a European put in a four-month binomial stock model where the share price changes by a fixed amount each month. The stock starts at 100, moves up or down by 10 per step, and the riskless bond compounds at a 5% annual rate. The…