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 discussion compares a payer forward swap beginning in five years and lasting five years with a position that pays fixed on a ten-year swap and receives fixed on a five-year swap. It distinguishes exposure to an outright move in the forward rate from a…
The document describes a proposed arbitrage when a call option is overpriced relative to the underlying under put-call parity. The answer says the trade requires a put with the same strike: sell the call, buy the put, and buy the underlying. The combined…
The document describes the Basel market-risk expected shortfall calculation that adjusts a base-horizon ES for risk factors with longer liquidity horizons. It defines ES on the full portfolio and on subsets where shorter-horizon factors are frozen, then…
The document compares hedging a future foreign-currency receipt with a forward contract against creating a similar exposure through dollar borrowing, spot conversion, and euro investment. Under covered interest parity, it gives the forward-rate relationship…
The document explains why a derivative’s quoted market price may differ from a model estimate of fair value. It challenges a simple pricing workflow in which a desk recalibrates a model, obtains a valuation, and adds a fixed fee. The response instead…
The document examines a multi-asset delta-hedging P&L decomposition and asks why a pricing function should satisfy a condition involving a positive break-even covariance matrix. Taylor expansion and delta hedging remove the first-order asset-price terms; the…
The document asks whether a Black-Scholes equation with an issuer credit spread is suitable for pricing an autocallable structured product, and how to examine its Delta, Vega, and hedge. The response advises against using Black-Scholes as the pricing model…
The document compares a Python Least Squares Monte Carlo (LSM) implementation for American options with QuantLib pricing engines. The answer emphasizes that LSM continuation-value regression should use in-the-money paths, and that regression is an…
The document discusses which volatility convention to use when deriving forward volatilities from cap prices. Its central point is that the appropriate model depends on the currency and rate environment. For currencies such as EUR or CHF, negative rates and…
The document discusses the familiar claim that higher volatility raises the value of standard American calls and puts, and considers why a formal reference may be hard to find. The response suggests reasoning from the relationship between American and…
The document explains why derivative pricing in an incomplete market does not determine a unique equivalent martingale measure. Multiple such measures can imply different arbitrage-free prices, so replication alone cannot select a single price when some…
The document reviews risk-neutral valuation in a binomial model with constant or adapted, time-varying interest rates. It describes valuing a payoff by taking its conditional expectation under the risk-neutral measure and discounting by the relevant sequence…
The document asks for a rigorous basis for a proposed decay-time relationship between diffusion volatility and the effect of lognormally sized Poisson jumps on the final return distribution. It focuses on a claim from a volatility text that relates the…
The document gives a brief pointer for plotting an option’s modeled value as time to expiry changes. It demonstrates using RQuantLib to calculate a sequence of American call prices at different remaining maturities, then drawing those values as a line plot.…
The document explains a simple way to estimate an option’s future value across a range of underlying prices for a platform-style P&L chart. The proposed baseline is to reprice with Black–Scholes using the remaining time to expiry and a chosen volatility,…
The document raises the problem of selecting a risk-free rate when valuing historical option data. It notes that rates such as Treasury or constant-maturity yields, OIS, SOFR, LIBOR, and policy rates have all been suggested, and asks which benchmark fits…
The document explains how to approximate an option’s delta numerically. Delta is the derivative of the option value with respect to the underlying asset price, describing how much the option value changes for a small change in that price. When an analytic…
This troubleshooting exchange concerns constructing an interest-rate cap in QuantLib C++. The example builds a floating leg from an Ibor index and attempts to create a cap, but runtime initialization fails because the leg has no notional. The author notes…
The question considers how a call’s value might change when stock returns have fatter tails than a log-normal model. It gives a numerical setup with zero interest rate, specified volatility and maturity, and an initial stock price equal to the strike. The…
The discussion asks how to interpret the covariance between an underlying asset and the discount factor under the risk-neutral measure, in connection with the forward–futures spread. One answer recommends interpreting risk-neutral quantities from the…
The document addresses whether the numeraire used in the Linear Gaussian Model must first be identified as a specific traded asset, and whether defining the state process through a measure associated with that numeraire is circular. The answer distinguishes…
The document explains why a rise in interest rates can increase a call option's theoretical value, despite the possibility that higher rates may weigh on share prices. In option valuation, the strike payment is made in the future, so a higher discount rate…
The document raises a pricing question about the embedded call feature in a callable floating-rate note. The author understands a callable bond as a straight bond combined with a short receiver swaption, and asks how to isolate or value the option component…
The document asks how selecting an iron condor’s short strikes by option delta relates to changes in implied volatility. The central question is whether choosing a target delta makes the spread width adjust as volatility changes, even though the distance…