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.
5,701 documents
The note explores whether a swaption can be understood by decomposing the swap beneath it into simpler derivative exposures. It recalls put-call parity for forwards: a long forward can be represented by a long call paired with a short put. The same…
The document asks how banks should price behavioral options embedded in wholesale fixed-rate loans and flexible deposits. It describes a regulatory setting in which these options are revalued under multiple interest-rate shock scenarios by currency.…
The answer interprets the VBA snippet as an attempt to simulate default under a lognormal stochastic intensity. It describes the hazard rate as evolving multiplicatively with volatility and a Brownian shock, with a shared factor intended to correlate…
The document raises a modeling question about interpreting a short rate model calibrated to market swaption volatility in a dual-curve setting. Because a swap may use one curve for floating-rate projections and another for discounting, the author asks what…
The document explains how to turn central bank meeting rate expectations into an overnight ESTR curve, then combine that curve with a separate ESTR-to-Euribor basis curve to estimate six-month Euribor rates for FRA pricing. Its example uses meeting dates as…
The document explains how to reconcile a floating-rate note’s invoice total by separating principal value from accrued interest. Rather than discounting projected coupons and discount margin through a full cash-flow formula, the response starts with the…
This note describes a finite-dimensional representation of an HJM interest-rate model when its deterministic volatility is separable across time and maturity. The short rate is written using a vector state process whose drift includes a deterministic forcing…
The discussion explains why convexity adjustments depend on the structure and timing of a rate derivative’s cash flows, rather than simply applying to every underlying rate in the same way. It contrasts a spread option with a linear derivative and notes that…
The document explains why credit default swap spreads on the same borrower can differ by contract currency. One proposed channel is quanto and currency risk: if default weakens the issuer's domestic currency, protection paid in another currency may be more…
This discussion explains why the cheapest-to-deliver (CTD) bond in a Treasury futures contract can change. It identifies several drivers: deliverable bonds age out of the basket, newly issued bonds may become cheapest to deliver, and small relative price…
The document explains why an issuer might include a call date relatively close to a bond’s final maturity, even when refinancing savings are not the main motive. Some financial institutions face regulatory liquidity requirements when outstanding debt…
The document considers how to optimize a bond portfolio spanning government and corporate debt, credit ratings, and maturities. It outlines a mean-variance approach using asset returns, yields, durations, and risk tolerance, with constraints to control which…
This explanation addresses why a fixed-rate bond’s dirty price from a yield-based calculation can differ slightly from the price produced by a flat yield term structure in QuantLib. Both methods discount coupon cash flows, but they can calculate the time to…
The document examines whether a borrower should pair floating-rate debt with a swap that receives floating and pays fixed, especially when rates can turn negative. The main answer challenges the premise that this swap reduces exposure: a floating-rate loan…
The document asks whether a zero-coupon bond numeraire is priced using a forward rate over the wrong accrual period. It defines each forward rate as applying to an interval between adjacent dates and gives a bond valuation as a product of discount factors…
The document lays out a question about Monte Carlo pricing of a swaption under an annuity measure in a Hull-White model when discounting and forwarding use separate curves. Its payoff depends on a forward swap rate, constructed from projected floating…
The document clarifies a statement that a coupon bond has par value when its coupon rate matches the corresponding swap rate. In this context, par means that the instrument’s fair value equals the face value of its remaining principal repayments. For a…
The document considers how to simulate a European option on a zero-coupon bond when short rates follow the Vasicek model. Its central pricing expression takes the risk-neutral expectation of the option’s payoff at expiry, discounted back with the…
The document describes a fixed-coupon bond analytics reconciliation problem: QuantLib and Bloomberg produce matching yield-to-maturity results for most bonds, but duration and convexity differ for a small number. It gives one example with a stated valuation…
This short explanation attributes the visual difference between LIBOR and US Treasury bill rates to how each rate is produced. Treasury bill yields are observed in an active market with substantial trading, so their reported values reflect ongoing price…
The document considers how to set a lending yield when a borrower has an estimated probability of default and the lender wants a specified expected return. Under the simplifying assumption that default destroys the entire principal, the borrower’s survival…
The document explains how to locate or derive caplet implied volatilities for EUR Libor. Bloomberg’s VCUB displays cap volatility and market inputs, while caplet volatilities can be obtained by stripping cap quotes into their component periods. The answer…
The document addresses a dimensional confusion in the Heath–Jarrow–Morton framework: the forward-rate drift and volatility terms must have compatible dimensions in the no-arbitrage condition. One response derives the scalar-factor condition by relating…
The document considers whether short Treasury bills and coupon-bearing bonds should feed one yield curve or separate curves. Its central guidance is to decide first whether the instruments belong to the same product market and should share a curve. In the…