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 asks how to price a floating-strike American lookback option when the client pays a running fee over the option’s life instead of an upfront premium. It contrasts this with a European option, where the questioner views the total fee over the…
The document defines a contingent payment at the later date: it pays only if the risky issuer’s earlier-maturing bond pays in full and its later-maturing bond defaults. It asks whether risk-free and risky zero-coupon bonds at the two maturities can replicate…
The document considers how to price swaptions at expiry and tenor points that were not directly calibrated, using a SABR volatility cube built from market observations. One proposed practice is to interpolate total implied variance across the cube for the…
The document separates two ways of discussing equity option skew. Black–Scholes implied volatility expresses observed prices through a model that assumes Gaussian log returns; varying implied volatility across strikes describes the market smile or skew. An…
The document addresses whether a Bloomberg swaption premium quote represents a payer or receiver option when calibrating a Hull–White model. The answer says the cited quote is for a straddle, so its premium combines payer and receiver values. It points to…
This document explains how to calibrate a pricing model by selecting parameters that bring model prices close to observed market prices, using an error measure such as mean absolute error or root mean square error. It discusses choosing an optimization…
The document distinguishes the forecasts implied by stochastic interest rate models from their common use in pricing derivatives. A random walk model keeps the expected future short rate at its current level, while a Vasicek model makes the expected rate…
The document explains why the value process of a perpetual American put is a supermartingale. Its central intuition is that the holder’s option to exercise now has value: waiting delays access to the payoff and risks losing the opportunity to exercise under…
The document surveys approaches to interpolating option prices or implied volatility while preserving no-arbitrage properties. It recommends normalizing for drift and dividends and working in forward moneyness rather than absolute strike; the resulting price…
The document explains why a call-option pricing integral can be written in terms of the log of the terminal asset price. The key point is that the second expression is not obtained by merely substituting a logarithm into the original integral over price.…
The document distinguishes the VIX index from a volatility swap by comparing the quantities each represents. VIX is described as the square root of a variance swap strike, with variance expressed in volatility units. A volatility swap instead pays against…
The document presents a bond pricing mismatch: a fixed-coupon bond's calculated price is about a dollar away from a Bloomberg screen, and the questioner suspects the day-count convention. The accepted response says the quoted value appears correct and points…
The document describes an attempt to calculate the effective annual yield to maturity of a zero-coupon bond using rateslib. It provides a settlement date, a 30/360 day-count convention, and a bond setup with annual frequency, zero coupon, and a specified…
The document explores whether risk-neutral derivative pricing can be understood through conditional expectation. It sets up a one-period binomial model with a stock, a bond, and a call payoff, then writes the option value as the discounted expected payoff…
The document asks why otherwise comparable swaps traded through different clearing venues, such as CME and LCH, may have different quoted rates. It proposes evaluating the basis by considering the costs and risks of buying one swap and selling the other, and…
The document diagnoses why a Monte Carlo estimate of a European call price differs sharply from its Black–Scholes value. In the simulation, the stock paths use a drift parameter called mu, while the Black–Scholes calculation prices the option using the…
The document poses a derivation problem for a European call in a Black–Scholes setting with deterministic, time-varying interest rates, drift, and volatility. It presents the option value as a risk-neutral expectation of the terminal payoff and asks how to…
The document explains how to value a foreign-currency floating-rate coupon in domestic currency using either the foreign or domestic T-forward measure. Under covered interest rate parity, converting the foreign-measure value at spot is equivalent to applying…
The document explains a QuantLib schedule issue for a quarterly coupon bond with a long initial stub. A forward schedule anchored to the June stub date of June 30 continues using the 30th for later quarterly dates when end-of-month handling is disabled.…
The discussion distinguishes computational limits by workload. For real-time trading, it argues that network throughput is often the constraint, while historical analysis is more commonly limited by memory capacity or bandwidth; ordinary CPU use may not be…
The document asks how to estimate an implied volatility at a chosen strike and maturity when only FX forward rates, domestic and foreign zero rates, at-the-money volatility, and 25-delta risk reversal and butterfly quotes are available. It frames the task as…
The document asks how to calculate daily returns on a forward contract after marking it to market. It gives a present-value expression for the contract, based on the current underlying price, the agreed delivery price, interest rates in both currencies, and…
The document raises a question about option market quoting: a book states that a strangle’s bid-offer spread expressed in volatility terms is usually wider than the at-the-money spread for the same expiry. The proposed explanation is that options struck away…
The document defines vol-vol breakeven as the instantaneous covariation of log implied volatilities for two options. For a local volatility model, when both options are the same contract, it gives a formula relating this quantity to the spot sensitivity of…