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 compares two ways to extract risk-neutral information from option prices. Breeden-Litzenberger (BL) uses the curvature of call prices across strikes to estimate an entire risk-neutral density. Bakshi-Kapadia-Madan (BKM) methods estimate…
The document explains how to interpret a credit default swap (CDS) spread when the contract pays a standardized coupon. The quoted par spread represents the annual premium that would make a new contract’s value zero; it is not itself the upfront price. The…
The document sketches a multifactor geometric Brownian motion framework for pricing options whose payoffs depend on multiple assets. Each asset has its own volatility, while shared Brownian factors create dependence; factor loadings determine the modeled…
This discussion assesses how much quantitative finance is covered by actuarial professional exams. It describes a progression from foundational financial engineering topics, such as portfolio theory, asset pricing, binomial models, stochastic calculus, and…
The document discusses hedging a perpetual up-and-out call with a strike of 110 and barrier of 120. One proposed static hedge buys stock in an amount intended to cover the option’s maximum intrinsic payoff at the barrier. This is a buy-and-hold superhedge…
The document explains how to aggregate duration and yield when a fixed-income portfolio contains long and short positions. Its core method is a weighted sum of each position’s duration, using signed weights based on position market value and a chosen…
The document discusses which financing rate belongs in option valuation and whether call and put quotes can be used to infer it. It starts from European put-call parity, then compares that relationship with observed option bids. One answer says the inferred…
This question asks whether a bilateral credit support annex can define different eligible collateral for each counterparty. Its example has one party posting US dollars or Treasury securities and the other posting euros or German government bonds. It also…
This discussion explains how to interpret at-the-money swaption volatility quoted under normal and Black conventions. Normal volatility is expressed in rate units, commonly basis points, while Black volatility is relative to the forward swap rate. The…
The document asks how collateral remuneration, repo, and unsecured bank funding rates relate in post-crisis derivatives pricing, referring to a paper by Vladimir Piterbarg. It defines the collateral rate as the rate paid on posted collateral, the repo rate…
The document raises a derivatives calibration question by analogy with joint modeling of the S&P 500 and VIX. Since the VIX is derived from S&P 500 options, the author asks whether the Euro Stoxx 50 and VSTOXX should likewise be calibrated together. The…
The document addresses whether Python users can price compound options through QuantLib's CompoundOption class. The accepted answer reports that the class is not exposed in the Python module: attempting to access it through the QuantLib namespace raises an…
The document clarifies competing conventions for dollar gamma. It distinguishes dollar gamma, commonly expressed as gamma multiplied by the square of the underlying price, from the half-dollar-gamma coefficient used in the second-order approximation of…
The document discusses how phoenix and snowball autocallable notes can be valued and hedged. It describes the note price as a combination of a zero-coupon bond, coupon exposure, a short down-and-in put that may be terminated by autocall, and issuer profit.…
The document describes building a six-month sterling Libor yield curve in QuantLib from a deposit quote and swap rates, then asks how to incorporate forward rate agreements. It shows the existing curve-building setup and its resulting spot-rate table,…
The document works through a question about deriving a continuous-time equation for the value of an investment with an option to stop. It presents a Bellman relation that compares immediate stopping value with the value of continuing, including profit flow…
The document asks how to check a Python implementation of delta hedging for a short European call, offset by a long position in the stock sized to the option’s delta. It proposes examining the distribution of the combined hedge-and-option profit and loss…
The document raises a calibration problem for classical short-rate models, including Black-Karasinski and Hull-White, during the sharp rate increases of 2022–2023. The author is concerned that model parameters may struggle to fit current rate levels while…
The note asks whether a forward price equals a futures price when the contracts share a maturity and the market has no dividends, constant interest rates, and no arbitrage. The answer derives the standard cost-of-carry relationship: the delivery price is…
The document asks how to interpolate implied volatility between listed maturities to construct a volatility surface for a Black–Scholes delta-hedging experiment. It considers bilinear interpolation and seeks guidance on methods that can fill values between…
The document clarifies how a bond futures conversion factor relates the futures price to the cheapest-to-deliver bond at delivery. When the delivery basis has converged, the futures price at delivery equals the CTD bond price divided by its conversion…
The document explains how to express a view that an option volatility skew is too flat or too steep while limiting exposure to the overall volatility level. Since option prices move with implied volatility, a trader can combine options at different strikes…
The document presents a bilateral equity option contract with American exercise, linked exercise between parties, post-exercise VWAP averaging, dividend-related strike reductions, and an additional premium tied to rates and the remaining call notional. It…
The discussion addresses why an at-the-money call can appear to have a delta near one when volatility is close to zero. One reply offers an intuition based on positive carry: with a risk-free rate above the dividend yield, a spot-at-the-money option can be…