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 discusses how trades are grouped into netting sets for calculating credit valuation adjustment. A netting set consists of trades that can legally be offset against one another if a default occurs, so the applicable agreements must permit the…
The document asks whether a European put’s price can be calculated as the expected payoff when the underlying’s return over the option’s life follows a specified density. Assuming zero interest rates, it writes the put payoff as the strike minus the terminal…
The document explains why an in-the-money option does not necessarily become more valuable simply because expiration is closer. It separates an option’s value into intrinsic value, determined by the current underlying price and strike, and time value, which…
The document outlines the Black–Scholes derivation: apply Itô’s formula to an option whose value depends on the underlying, combine it with the underlying in a portfolio, hedge away the source of randomness, and use no-arbitrage to obtain the pricing PDE. It…
The document discusses what a negative stock holding means in a single-period binomial model and whether it represents a real-world short sale. The practical interpretation is a short stock position: the investor borrows shares, sells them, and has an…
The document explains why a bond's quoted spread to mid-swaps at issuance may not match a calculation using a government benchmark, a later yield curve observation, or the bond's coupon. In the example, the quoted reoffer spread is applied to the swap rate…
The document explains why an up-and-out call can have negative delta when the underlying approaches its upper knock-out barrier. Near the barrier, a rise in the underlying has two opposing effects: it increases the ordinary call payoff conditional on…
The document asks whether physical state probabilities can be recovered from current asset prices, state-contingent payoffs, and risk-neutral probabilities. Its central point is that state prices encode discounted, risk-adjusted probabilities; they do not by…
The document describes a pricing problem involving a multi-asset collar on European natural gas and US oil products, with an additional currency conversion because the contracts are denominated in different currencies. The questioner is considering Monte…
The document gives a finite-difference estimate of a fixed-income instrument’s convexity using its current price and projected prices after equal upward and downward parallel yield shifts. The central second difference, formed by adding the two shifted…
The document explains how to connect a zero-coupon bond’s price to the stochastic process for the short rate. If the rate follows an Itô diffusion under the risk-neutral measure, applying Feynman–Kac gives a pricing PDE with a terminal condition equal to…
The document clarifies what the time partial derivative means when applying Itô’s lemma to a function of a stochastic process. For a function written as f(S_t, t), the partial derivative with respect to t treats the process value S_t as the first, separate…
The document discusses language choices for a pricing library that should support parallel pricing, control maintenance costs, and remain accessible to newer quantitative researchers. It argues that there is no single best language and suggests Python as a…
The document derives the instantaneous volatility of a zero-coupon bond price under a one-factor Hull–White short-rate model. It presents the bond price as a deterministic function of time multiplied by an exponential term in the current short rate. The…
The document asks about an approximation discussed in a paper on delta hedging with a volatility smile: treating the sensitivity of implied volatility to the underlying price as equal to its sensitivity to strike. Under a downward-sloping smile, the cited…
The document compares a manually discounted fixed-rate bond price with the output from RQuantLib. Its example uses a five-year bond with annual coupons, a flat interest rate, and a settlement date one day after the evaluation date. The manual calculation…
The document considers whether a Euro Stoxx futures contract and matching European call and put options offer an arbitrage when only one of each contract may be traded. It introduces put-call parity and rearranges it to compare the call-minus-put price with…
The document asks whether a closed-form barrier-option model for a dividend-paying stock can be adapted to FX and commodity futures. Under Black–Scholes assumptions, it describes forward dynamics with zero drift, so the spot-model input can be repurposed by…
The document explains why a QuantLib Gaussian one-factor swaption engine rejects a Vasicek model: the engine expects a model derived from Gaussian1dModel, while Vasicek does not meet that interface. The accepted answer shows using a GSR model instead,…
The document poses a portfolio-replication problem for a derivative whose terminal payoff is the time average of an underlying asset's price over the contract period, less a fixed strike. It assumes continuously sampled prices and a zero interest rate, then…
A total return swap is an over-the-counter contract, so whether it can be terminated early depends on the negotiated termsheet. Some agreements provide break rights and others lock the parties in until maturity. The responses describe dealer-to-dealer trades…
The document asks for current interest-rate modeling references that address the cessation of IBOR benchmarks, noting that established texts may predate the transition. The answer does not recommend a textbook; instead, it points to the generalized Forward…
The document sets up two Black–Scholes call-pricing equations for options on the same stock with different strikes and a shared maturity. It uses the observed option prices to form a nonlinear system in the continuously compounded interest rate and…
The document presents a framework for funding valuation adjustment when derivative value and received collateral differ. In a modified Black–Scholes setting, collateral can be rehypothecated and earns a collateral rate, while unsecured funding costs more.…