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 describes a Monte Carlo setup for studying the profit and loss of a long out-of-the-money call that is delta hedged over time. The option is purchased using the volatility assumed at inception, while simulated underlying price paths reflect the…
The document explains how to price a derivative by matching its payoffs across possible future states. In a three-state example, a stock, a risk-free bond, and a traded option provide three payoff patterns. The unknown option is replicated by solving one…
The document examines how to determine the annual day-count denominator for the Norwegian overnight index NOWA. Its quoted definition bases the nominal annual rate on the actual number of days in the year ahead from the fixing date, using 365 or 366 days,…
The document clarifies what an implied volatility function calibrated to vanilla options can and cannot establish. If the model is recalibrated to match vanilla option prices across strikes and maturities, it reproduces the risk-neutral distribution of the…
The explanation separates coupon-date schedule construction from day-count calculation in QuantLib. A schedule defines dates according to the effective date, maturity, interval, calendar, business-day convention, and date-generation rule. A day-count…
The discussion considers a bond where the holder’s put and the issuer’s call are available on the same date at the same price. The response says such structures are relatively common, including in convertible bonds, and that the shared exercise date can…
The discussion clarifies why dollar gamma is intended to measure convexity exposure rather than every change in the dollar value of delta. For a small spot move, the change in the number of delta shares is multiplied by the starting spot to express the hedge…
The document concerns taking a Bachelier call option’s partial derivative with respect to strike and finding a mismatch between two reference results. The resolution is that the sources use different stochastic differential equations: one includes a drift…
The document raises a risk-measurement question about calculating DV01 for a USD–KRW cross-currency swap. It describes building a USD discount curve so observable USD interest-rate swaps have zero present value, and a KRW curve so observable cross-currency…
The document explains the par-yield curve as a plot of bond yields to maturity against their terms to maturity. A par yield is the coupon rate that would make a bond’s price equal to par; for a bond priced at par, its coupon rate and yield to maturity…
The document examines a gap option with a trigger level that differs from the strike. Its payoff is zero below the trigger and equals the underlying price minus the strike above it. When the underlying finishes above the trigger but below the strike, that…
The document asks how to rigorously establish the Markov property for the Heston model’s joint stock-price and variance process, whose square-root variance dynamics do not meet the familiar Lipschitz conditions cited in many introductory SDE results. It…
The document asks whether predicting an option’s delta more accurately than Black–Scholes can create trading opportunities beyond improving a hedge. It frames the question with an example in which a model estimates delta at 0.4 while Black–Scholes gives 0.3,…
The document introduces a state price vector through a two-state example: inflation is either above or below a threshold, and a security pays in one state but not the other. It describes the collection of state-contingent prices as a vector, and says…
The document explains a buy-sell-back as a collateralized loan structured through a security sale followed by a forward agreement to sell the security back. The borrower receives cash against a bond or other security, while the lender holds the collateral…
The document frames a thesis question about established, pre-neural-network approaches to calibrating stochastic volatility models, with particular interest in Heston. It asks for research areas and papers that could support a historical overview of…
The document examines a small mismatch between a GBP overnight index swap market quote and a displayed zero rate. It calculates a one-week discount factor from the quoted rate using a simple day-count fraction, then converts that factor to a continuously…
The document asks how to derive a three-month forward rate from short-rate paths simulated under the one-factor Hull–White model, with monthly time steps. It proposes using the model’s zero-coupon bond formula to obtain discount factors over monthly…
The document examines a derivation that applies Itô’s formula to the discounted payoff of a call option inside a conditional expectation. It raises questions about when differentiation can be interchanged with expectation, how the payoff derivative enters…
The document compares finite difference methods with Monte Carlo for pricing options on baskets of assets. It explains the dimensionality problem: a finite difference grid grows rapidly with the number of underlyings, making multidimensional PDE methods…
The document examines why a counterparty’s CVA charge might decrease after both parties are downgraded. It presents a first-to-default approximation in which expected exposure is multiplied by the difference between the counterparty’s credit spread and the…
The document describes building a JPY three-month forward curve from three-month deposits and FRAs, six-month market quotes, and six-month-versus-three-month basis swap spreads in QuantLib. The questioner constructs separate discounting, six-month, and…
The document explores reproducing corporate bond yield spreads under the Black–Cox structural credit model. It defines spread from face value, bond price, maturity, and the risk-free rate, then describes bond value as discounted debt recovery conditional on…
The document poses a fixed-income valuation problem: how to calculate yield to maturity for a semiannual coupon bond that repays principal in installments before its final maturity. It provides a coupon rate, day-count convention, clean price, valuation…