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 examines whether interest-bearing money can be sustainable, focusing on the apparent need for new borrowing to repay interest and the compound growth of deposits. Its answers offer several explanations: lending can finance productive activity…
The document addresses how to use SOFR as the risk-free rate when calculating portfolio statistics such as the Sharpe ratio. The question arises from a multifactor portfolio project using weekly price data and asks whether a quoted SOFR value represents a…
The document explains why a bond’s annualized horizon return may remain close to its original yield after an immediate parallel yield shift, especially when the investor holds the bond to maturity. A duration-based estimate says a 100 basis point yield…
The document analyzes a capped S&P 500 protection note with a fixed minimum payment, upside participation above the initial index level, and a maximum payout. It represents the payoff as a zero-coupon bond plus a call spread: long a call at the initial index…
The document distinguishes nominal risk-free interest rates from inflation and explains that their difference is the real interest rate. It argues that nominal rates can be higher or lower than inflation and cites historical short-term rate proxies,…
The document examines how a bond cash flow projection system might assign market values across long interest-rate scenarios without fully repricing every security each month. It describes a common computational compromise: perform full repricing at spaced…
The document asks whether a two-stage regression is appropriate for local government bond yields and their potential determinants when explanatory variables experience structural breaks at different times. The proposed approach groups variables with similar…
The document explains why a Treasury futures duration estimate based on the cheapest-to-deliver bond is divided by that bond’s conversion factor. First, estimate the CTD bond’s duration in forward space using the futures delivery date as settlement and the…
The document presents a QuantLib setup for valuing a fixed-rate bond today and a forward contract that delivers the bond on a later date. Its example describes an already-issued ten-year bond with semiannual coupons, then constructs a schedule, a fixed-rate…
The document asks how to estimate the four parameters of a Nelson–Siegel yield curve by minimizing squared differences between model-implied bond prices and observed market prices. Each model price discounts the bond’s cash flows using a rate determined by…
The document describes a basic way to compare credit portfolios across two observation periods. Match customer records by ID, calculate changes in economic capital for matched customers, and create a cross-tabulation of prior and current ratings to summarize…
The document discusses how mean reversion in an Ornstein–Uhlenbeck process relates to autoregressive and moving-average time-series models. Its answer identifies the sum of the autoregressive coefficients in an AR(p) model as governing mean-reverting…
The document raises questions about applying risk-neutral and numeraire-based pricing when securities are collateralized. It describes the standard setup in which a fully collateralized payoff in the same currency is discounted using the collateral rate, and…
The document examines why discount factors inferred from six- and twelve-month USD LIBOR do not reproduce a one-year swap rate in a simple semiannual swap equation. The discrepancy is explained as a tenor basis: a term LIBOR deposit and a swap referencing…
The document explains how SOFR futures prices are tied to realized overnight rates during their reference period. For one-month contracts, the settlement rate is the arithmetic average of observed SOFR rates; for three-month contracts, it is based on daily…
The document raises a practical curve-building question: how to bootstrap discount factors from a deposit, forward rate agreements, and longer-dated swap quotes. The student reports discount factors for the short instruments but is unsure how to derive the…
The document explains why fixed-income charts commonly display yields or spot rates instead of bond prices. Prices depend on coupon schedules, maturities, and face values, so two bonds with different cash-flow structures can trade at the same price even when…
This question asks how to express a foreign short-rate model under the domestic risk-neutral measure so both domestic and foreign rates can be simulated consistently. It introduces correlated Brownian motions under different measures and a spot FX process…
The document discusses how credit risk changes the valuation of a floating-rate corporate bond. A risk-free floating-rate valuation may project coupons using forward rates and discount them on a reference curve, but a risky issuer introduces default and…
The discussion asks how a trader should decide whether to exercise a physical Bermudan swaption as an exercise date approaches. The accepted answer distinguishes a necessary condition from a sufficient exercise rule. For a receiver swaption, exercising at an…
This brief question challenges the idea that retail investors can reliably secure a currently high yield by buying long-term bonds and holding them to maturity. It argues that investors without fixed, matching liabilities remain exposed to inflation and may…
This note addresses constructing Australian dollar and Canadian dollar zero curves after the relevant LIBOR settings ceased publication. It identifies BBSW for AUD and CDOR for CAD as replacement reference rates and explains the basic principle for sourcing…
The note compares a bond-plus-equity-option approach to valuing convertible bonds with a binomial approach that models both debt and equity features. In the simpler method, the value is treated as the sum of a straight bond and a call option on the…
The note explains how QuantLib’s `growthOnly` setting changes a CPI-linked bond’s principal repayment at maturity. With the setting false, the bond returns the original notional adjusted by the ratio of the maturity inflation index to the initial index. With…