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 document asks how to identify the volatility process in a factor Heath-Jarrow-Morton interest rate framework when observations of spot rates across maturities are available. It distinguishes the model’s volatility process from the observed volatility of…
The discussion gives several reasons interest rate swaps are widely used: their risk and maturity profiles are comparable to bonds, they serve different market participants, and they are relatively transparent. The answer also describes swaps as liquid in…
The discussion considers how to price an American swaption, whose holder can exercise before expiry. It distinguishes the backward exercise decision—comparing immediate payoff with the discounted conditional value of continuing—from Black’s formula, which is…
The document distinguishes short selling an existing bond from issuing a new bond and from an ordinary sale. A short seller borrows a bond, sells it, and generally aims to buy it back later at a lower price. That position is exposed to changes in the bond’s…
An invoice spread pairs a bond future with an interest rate swap whose dates generally align with the future’s expiry and the cheapest-to-deliver bond’s maturity. Traders use the structure in part because bond futures are liquid and straightforward to trade,…
This Q&A clarifies that a three-month LIBOR quote is an annualized simple rate, rather than a continuously compounded rate. Interest accrual uses the applicable day-count convention; the example assumes Actual/360 for the LIBOR accrual period. To express…
This short Q&A explains two symbols in the Libor Market Model: the index m(t) for the next reset date and the volatility term v_k(t). Given ordered reset times, m(t) is the smallest index whose reset time is at or after the current time. For example, when t…
An overnight indexed swap is a swap structure whose floating payments are tied to an overnight interest rate. The benchmark is not inherent in the OIS label: depending on the contract, it may reference the federal funds rate, SOFR, or another overnight rate.…
An inverted yield curve describes short-term borrowing rates that exceed longer-term rates. Since an entire curve can have a complex shape, common practical definitions compare two selected maturities: the three-month rate with the ten-year rate, or the…
The document asks why CME derives forward-looking Term SOFR rates from SOFR futures rather than the SOFR overnight index swap curve. It contrasts the transparency and liquidity of those markets and notes that one-month SOFR futures settle against an…
The document considers using swaptions to estimate expected positive and negative exposure over the life of an interest-rate swap for credit and debit valuation adjustment calculations. It asks how this approach compares with interest-rate simulations and…
The document presents the Nelson–Siegel yield curve as a combination of level, slope, and curvature factors. It describes how the slope loading declines with maturity and how the curvature loading rises to a hump before declining, while the decay parameter…
The document asks how daily profit and loss on an interest rate swap is normally attributed, proposing accrual carry, curve roll-down, and residual change in net present value as possible components. The response focuses on explaining curve-driven P&L for a…
The discussion asks why the Federal Funds leg in a basis swap may use an arithmetic average, while a standard overnight indexed swap often compounds daily rates geometrically. The answer attributes the difference to market convention: the products developed…
The discussion gives two interpretations of the claim that excessive liquidity can harm a bank. One focuses on low returns: a bank that holds short-term government securities instead of lending may be safer in a crisis, but can earn too little to remain…
The document asks how to estimate credit losses on a bond paired with default protection when both the bond issuer and protection seller can default. It provides the bond notional, default probabilities, joint default probability, and recovery assumptions,…
The document outlines the structure of Eris SOFR swap futures and asks how their price relates to the fixed rate on a forward starting swap. It defines listing, effective, and coupon dates, then expresses the futures settlement price as a base value plus…
The document asks whether a fixed-rate bond priced with a flat discount curve produces the same result as pricing it directly from a specified yield. It compares two RQuantLib functions and notes that the curve-based function can return more than a single…
The document explains why a covered bond’s identified loan pool can provide investor protection while remaining on the issuer’s balance sheet. If a loan in the pool defaults or is removed, the issuer is required to replace it with a healthy loan. The pool is…
The discussion weighs the use of a zero percent discount rate in option and swaption models against discounting with an interest-rate curve. Whether the simplification is acceptable depends on rate exposure, product maturity, model accuracy, and the size of…
The document asks for step-by-step references on applying Itô’s lemma beyond familiar geometric Brownian motion and Black–Scholes examples. The visible answers provide little reference material, but one adds a worked calculation for a log habit index defined…
The document gives a concise checklist of core terms needed to describe an interest rate swaption. These include the option’s expiry date and time, whether it grants payer or receiver exposure (or is structured as a straddle), and the start and end dates of…
The question concerns risk models calibrated to a recent sample in which short-term GBP rates moved little. PCA and ARMA methods can generate plausible curves, yet calibration to that quiet period may produce scenarios that understate possible one-year rate…
The document concerns testing whether a relationship in time-series data changed across a specified breakpoint. Its example uses monthly credit default swap values, divided into an earlier period and a later period, and asks how to conduct a Chow test with…