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 explains how cash flows on a total return swap (TRS) are calculated and checked when the reference asset remains with a counterparty. A TRS exchanges the asset’s total return, such as price changes and dividends, for a fixed or floating…
The document explains the cash flows of a resettable EUR/USD cross-currency basis swap. It corrects a worked example’s direction of the initial currency exchange and basis spread, then describes how periodic notional resets affect interest and principal…
The document considers pricing an exotic interest-rate option when the individual rate distributions are modeled with calibrated SABR marginals and their dependence is represented by a Gaussian copula. It expresses the option value as the pricing-measure…
The document asks whether option pricing models should be judged only by how closely their estimates match traded prices. It contrasts market-price fit, often measured with an error metric such as RMSE, with the possibility that market prices may not…
The document asks whether Merton’s result for the continuous-time limit of a single asset price process extends to multiple assets. Under specified assumptions, the referenced result characterizes the limiting process as an Itô process when rare events are…
The document explains how to calibrate a stochastic volatility model such as Heston to option data and interpret its parameters. It recommends fitting model prices in implied volatility space by minimizing squared differences between model-implied and…
The document asks why exchange option chains can show different implied volatilities for European puts and calls with the same underlying and expiry, even though put-call parity links their prices. Its answer points to market supply and demand: stronger…
A swap spread trade pairs a cash bond with an interest rate swap of a matching maturity. The answer describes a convention for a long spread position: hold the bond long and pay fixed in the swap. It notes that traders commonly size the two legs to have…
The document clarifies what it means to complete pricing by integrating a modeled future swap rate. The target is not to integrate the rate merely to recover its current value, which follows from its martingale property under the swap measure. Instead, the…
The document explains how to choose a discount curve for Black–Scholes option valuation and how to turn quoted market rates into continuously compounded rates for different maturities. It describes building a money-market curve from short-term interbank…
The document describes approaches to calculating the discount margin of a floating-rate bond with QuantLib. The initial method builds a spreaded forward curve whose spread is controlled by an observable quote, then uses a one-dimensional numerical solver to…
The document discusses ways to reduce runtime when calibrating a Heston model with Monte Carlo simulations in MATLAB. The author reports using a four-core computer, 10,000 scenarios, 1,000 time steps, and `fminsearch`, with a run taking roughly half an hour…
The document addresses a confusion in binomial pricing: a put’s value at an intermediate node can exceed the discounted value of continuing to the next step, making early exercise optimal. It distinguishes the put’s intrinsic value at that node from the…
The discussion examines how to derive an approximation for an option’s gamma from values at an underlying price above and below the current price. The original question substitutes finite-difference estimates of delta into a difference quotient and obtains…
The answers map fixed-income reading choices to different levels and goals. For an accessible treatment that connects theory with trading practice, they recommend Bruce Tuckman’s Fixed Income Securities; Pietro Veronesi’s text offers broader valuation and…
The document asks how to price a European payoff equal to the positive part of the difference between two risky assets in a constant coefficient Black–Scholes market. It starts from ordinary risk neutral valuation and considers expressing the payoff using…
The question considers pricing a call on a foreign equity whose domestic-currency value is defined as the foreign share price multiplied by the exchange rate raised to a fractional power. It asks whether the drift obtained by applying Itô’s lemma under the…
The document describes calibrating a Heston stochastic volatility model to market prices by minimizing weighted squared pricing errors with a Levenberg–Marquardt optimizer. It lists the model parameters and their natural constraints: correlation must lie…
This explanation gives an intuitive account of why a longer-dated option can have greater sensitivity to implied volatility than a short-dated option. It compares two far out-of-the-money calls with the same strike and underlying price, one expiring the next…
This question asks whether otherwise identical derivative payoffs should have the same value when paid in different currencies, given a fixed USD SOFR collateral agreement. It compares a fixed sterling payment with payments converted at the future GBP/USD or…
This brief exchange asks which discount curves market participants use to value FX forwards under collateralized and uncollateralized arrangements. The response points readers to research on collateral currency choice, multiple swap curves, and…
The document explains how to inspect the scheduled cash flows of a bond created in QuantLib. Iterating through the bond’s cash-flow objects exposes each payment date and amount, making coupon payments and principal redemption visible. For fixed-rate coupons,…
The document addresses two inputs needed when calibrating a swaption model with QuantLib: the volatility convention and the interest-rate term structure. It notes that QuantLib’s cited calibration example expects Black, or lognormal, volatilities by default,…
The document asks whether Dupire’s formula can be understood through the same replicating-portfolio framework used to explain Black–Scholes. The answer distinguishes the purpose of the two frameworks: Dupire’s formula is presented as a calibration…