This note asks how to value a floating-rate note in a short-rate tree when the tree contains time steps between an IBOR fixing date and the coupon payment date. It proposes valuing backward from each fixing-date node by considering reachable payment-date…
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The document examines whether a bond’s coupon accrual period changes when a scheduled payment date falls on a non-business day and is moved by a forward business-day convention. Its central lesson is that there is no universal rule: the bond’s prospectus or…
The document explains why very short-term U.S. Treasury yields can trade below the federal funds rate. One answer points to an imbalance between cash demand and Treasury bill supply: money market funds had abundant cash, the Federal Reserve’s reverse repo…
This exchange clarifies the no-bankruptcy-cost assumption in the Modigliani–Miller framework. It means that financial distress or bankruptcy creates no direct costs, such as legal expenses, and no indirect costs, such as losses caused by disrupted operations…
The document asks how to distinguish a market-price-based delta from a model-price-based delta for options on Treasury futures. It describes delta as the option price's sensitivity to the underlying futures price and proposes estimating that sensitivity by…
The document examines a derivation of the change of Brownian motion between the risk-neutral measure and a bond's forward measure in a Heath-Jarrow-Morton interest-rate framework. The original argument derives a discounted bond price under the forward…
The discussion explains why an AA corporate bond yield can be used to discount corporate pension liabilities and how it relates to interest rates. A discount rate is an interest rate, but the appropriate rate depends on the liability and the purpose of…
The document explains why a simple interest-rate-differential formula may fail to match observed three-month FX forward points. It identifies cross-currency basis as the key market adjustment that emerged prominently after the global financial crisis. The…
The discussion covers two linked choices when calculating a Sharpe ratio from monthly returns: selecting a risk-free return that matches the measurement horizon and converting the ratio to an annual scale. One answer suggests using a short-term Treasury rate…
The document asks how swap rates relate to a textbook par-rate calculation and why market participants quote spreads against Treasury or swap curves. The response focuses on quoting conventions rather than deriving the swap rate formula. Historically, US…
The note clarifies that calling an instrument balance-sheet intensive does not simply mean that it requires a large initial cash investment. The meaning depends on the desk’s accounting and regulatory context. For a bank market-making desk, balance-sheet…
The document explains how to simulate two correlated Hull–White short-rate processes, such as rates for two currencies, using QuantLib. Its suggested construction combines separate Hull–White processes in a stochastic process array and supplies a correlation…
The document asks whether a short RQuantLib script can estimate the total return of a five-year constant-maturity Treasury bond from a yield series. Its proposed approach reprices a fixed-rate bond using consecutive observations as coupon and discount…
The discussion explains why a bond’s measured duration can exceed its time to maturity, particularly when the instrument is nonstandard. The result depends on the duration definition and cash-flow structure. Embedded options may create asymmetric price…
The post asks how to hedge the cross gamma between interest rates and foreign exchange in a callable power reverse dual currency note. The brief answer is that this exposure may be difficult or impossible to hedge because the market has too few…
The document explains how an annual effective discount rate can be related to an effective interest rate when interest received in advance is repeatedly reinvested. Starting with capital C, each advance interest payment is reinvested under the same terms,…
The document asks how to discount a cash flow at a tenor beyond the longest available LIBOR tenor, and whether interpolating quoted rates is appropriate when those rates reflect different payment periods. The answer frames the problem through the distinction…
The document explains why treasury futures carry cannot be obtained simply by subtracting an implied repo rate from a deliverable bond’s yield. Under a strict definition, pure carry consists of known cash inflows and outflows from holding and financing an…
The document uses a fixed-coupon bond example to ask how to interpret Macaulay duration, modified duration, and convexity. It presents the bond price as the discounted value of coupon and principal cash flows, then identifies modified duration with the…
The document describes a workflow for pricing interest-rate caps at multiple valuation dates with QuantLib. It builds yield curves from dated market data, interpolates cap volatilities across maturities, then creates Euribor-linked cap instruments and prices…
The post explains two treasury uses of FX swaps: obtaining needed local-currency cash and putting idle balances to work through carry. In an emerging-market banking example, depositors and businesses shifted toward US dollars amid fears of devaluation, while…
The document asks for references explaining the Feller condition for the Cox–Ingersoll–Ross square-root diffusion, a model often used for interest rates. It points readers to treatments in Iain Clark’s Foreign Exchange Option Pricing and Andersen and…
The document concerns constructing a portfolio of individual bonds selected from a benchmark, with exposure to a chosen investment factor. The questioner seeks research on factor investing using actual bonds rather than exchange-traded funds or sovereign…
The document questions a claim about compounding a constant overnight rate over a three-month period when calculating a spot swap’s roll-down. The questioner interprets the quoted rate as an annualized overnight rate and compounds it daily, finding that the…