The response clarifies that a forward rate agreement, a caplet or floorlet, and an option on an FRA are different instruments. A caplet and a floorlet on the same future LIBOR fixing have complementary single-period option payoffs and can approximately…
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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.
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5,701 documents
The document outlines a QuantLibXL workflow for valuing a floating-rate bond whose cap and floor strikes vary by coupon. It recommends supplying a strike for each coupon to the floating-rate bond, then pricing the bond with a bond engine. An Ibor coupon…
The document presents a bond-based approach to creating exposure to a five-year-five-year forward rate. The proposed portfolio is short a five-year bond and long a ten-year bond, with relative weights determined using duration-based interest-rate…
The document considers when a current forward rate can be viewed as an unbiased indicator of a future spot rate. It cites the pure expectations hypothesis, under which forward rates predict future spot rates, and mentions weaker empirical support,…
The document explains how to convert a Treasury bond futures quote written in points and thirty-seconds into a percentage of par, then into a dollar contract value. In its example, the quote 91-12 means 91 plus twelve thirty-seconds, or 91.375 percent of…
The document develops a first-order approach to immunizing a bond portfolio against nonparallel interest-rate shifts. It approximates each bond’s price change by differentiating its discounted cash flows with respect to rates at each maturity, producing…
The document explains how to express a view that policy rates will stay higher for longer than the market expects. In a fixed-for-floating swap, paying fixed and receiving floating benefits if the floating rate over the relevant period is higher than the…
The discussion addresses a common fixed-income desk intuition: a receiver swap entered at a rate below a later spot swap rate may still have positive total performance because earlier carry can offset later mark-to-market losses. In its simplified example,…
In the Basel market risk framework, the reduced set of risk factors is used to calibrate stressed expected shortfall when a sufficiently long history is unavailable for the full model. Banks select factors relevant to their portfolio and with adequate…
Treasury futures allow the short to choose which eligible bond to deliver, creating a quality option for the short and affecting the futures price. If the cheapest-to-deliver bond is already known, pricing can be based on that bond’s forward price adjusted…
The document explains the notation for a EUR trade combining three forward-starting interest rates with different start dates and tenors. It identifies the position as a curve fly, where the intermediate point is the belly and the shorter- and longer-term…
The answer describes how to derive a forward rate from a simulated Hull–White short-rate path. At each simulated future time, use the current short rate in the model’s zero-coupon bond pricing expression, with the model’s time-dependent A and B terms, to…
The exchange clarifies that CME’s term SOFR figures are not simply another observation of the overnight rate. They are forward-looking term rates implied by trading in SOFR futures. This explains why the benchmark page can show rates for horizons such as six…
The document explores whether financial asset fungibility is an all-or-nothing property or can depend on selected attributes. It uses hypothetical digital currency tokens to illustrate how issuer, currency symbol, decimal precision, and encumbrances might…
The document explains how Vasicek’s single-factor model uses a shared economic variable and firm-specific residual risk to represent default. A firm defaults when its latent asset variable falls below a threshold. The unconditional probability of default…
The document clarifies how gross basis relates a bond’s cash price to a bond futures contract. It gives the relationship as bond price minus futures price multiplied by the bond’s conversion factor. This frames gross basis as the difference between the bond…
The document raises a question about why short-term Treasury bill rates are used in research to forecast the equity premium, while acknowledging that their predictive significance is disputed. It asks whether the rate might reflect firms’ borrowing costs and…
The document asks how to infer zero-coupon discount factors from clean and dirty prices of coupon bonds with annual coupons and staggered maturities. It proposes expressing a bond's dirty price as the sum of its coupon and principal cash flows, each…
The document discusses maintaining interest rate curves built from swap and other market data, with particular attention to calibration failures and kinks. It recommends keeping user-adjustable configuration manageable, supported by instrument symbology and…
The document works through the present value of an annuity due over twelve years when payments are made in four installments per year and the annual interest rate is 2%. The replies clarify the assumptions needed to interpret the problem: each annual payment…
The document proposes choosing a retail time-deposit term by calculating the net present value of deposits with different maturities and converting each value into an equivalent constant annual payment over its term. It selects the term with the highest…
Corporate bond yields combine a Treasury-related risk-free component with a credit and liquidity spread. The relative size of these components helps explain why investment-grade bonds tend to move more closely with comparable-maturity Treasury yields, while…
The document asks what drives the price of a bond futures calendar spread when both contracts share the same deliverable basket and cheapest-to-deliver bond. The accepted answer identifies the forward repo rate implied by term repo rates extending to each…
The document describes a bond discount-curve fitting error in QuantLib. The questioner supplies bond maturities and coupon rates alongside market prices, then constructs fixed-rate bond helpers for a Nelson–Siegel fitted discount curve. The reported…