The discussion outlines two ways a cross-currency inflation-linked swap can be structured. One approach exchanges inflation exposure tied to different national baskets, such as euro-area harmonized prices against UK consumer prices. This introduces relative…
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5,701 documents
The question asks how to value a swaption that expires in five years and references a swap whose exercise and maturity dates coincide, leaving it with zero tenor. The answer argues that a zero-year interest-rate swap is not a meaningful tradable contract in…
The document examines the stochastic differential equation for a zero-coupon bond price and asks why a technical note’s expression for the change in its logarithm lacks an explicit time derivative. The answers apply Itô’s lemma to the logarithm as a function…
The document describes how quantitative finance roles changed after the financial crisis rather than simply becoming more or less plentiful. It points to reduced activity in some exotic derivatives and credit products, alongside more work on funding,…
The document concerns how cash and deposit assets should be grouped in the Solvency II Assets D1 report. The question cites reporting instructions that call for one line per currency for cash, and one line per bank and currency for transferable deposits and…
The document explains several reasons investors and financial institutions may hold government bonds with negative yields instead of keeping cash. For large cash balances, physical storage, insurance, and logistics can cost more than accepting a small…
The document explains why an averaging overnight-rate swap cannot be priced by simply applying an averaging formula to forward rates calibrated from a compounding swap curve. Compounded SOFR swaps are described as the dominant hedging market and define the…
The document recommends a learning path for bonds, fixed income, and interest-rate models, distinguishing rigorous quantitative references from more accessible treatments. For readers pursuing quantitative modeling, it points to a comprehensive text on…
The document compares par yield curves with zero curves, especially when benchmark bonds trade far above par. It explains that par, zero, forward, and discount curves are transformations of one another and therefore encode the same information. A benchmark…
The document addresses whether constant-maturity swap (CMS) and overnight indexed swap (OIS) curves can be treated as the same when their reported values match. It explains CMS as a way to represent yields at fixed tenors over time, often using interpolation…
This note explains why overnight sterling LIBOR can sit below the Bank of England base rate, despite the intuition that unsecured borrowing should command a higher rate. It distinguishes LIBOR, which is based on trimmed submissions from panel banks, from an…
This note addresses why a payer swap can show negative DV01, or a short payer can show positive DV01, despite the usual intuition about payer and receiver positions. The explanation hinges on the sign convention: the quoted sensitivity is expressed relative…
The discussion addresses whether rescuing Lehman Brothers could have prevented the global financial crisis and why risky mortgage-linked products received high credit ratings. It notes that AIG did receive government support, while Lehman failed amid a…
The document derives the time-dependent drift function in a Hull–White short-rate model with time-varying mean reversion and volatility. An integrating factor first solves the short-rate stochastic differential equation. Integrating rates to maturity and…
The document clarifies what swap underlies a European payer swaption whose exercise date is in the future and whose swap tenor begins at that date. Its example has a five-year option maturity and a ten-year tenor. The key distinction is between the ten-year…
The document describes a CDO purchase financed partly by the buyer's cash and partly by a loan from the seller. Because the loan is nonrecourse and secured only by the CDOs, the buyer can surrender the assets rather than repay from other holdings if their…
The document poses two mathematical questions in a model combining a money account, a Vasicek short rate, and a stock with constant drift and volatility. The money account grows at the short rate, which follows mean-reverting stochastic dynamics driven by…
The document distinguishes several effects relevant to the daily economics of a bond futures position. Underlying carry and yield roll-down can be estimated from the cheapest-to-deliver bond, including its coupon accrual. Financing is another component and…
The document discusses ways to assess the relationship between oil prices and bond portfolio values. A simple starting point is to compare historical Brent prices with bond prices or fund net asset value, then calculate correlation or run a regression. The…
The document explains why a bond's quoted price cannot always be converted to a percentage of par using a universal face value. Many markets quote bonds as a percentage of par, but some use a different quote basis. To convert a quote, identify the par value…
The document addresses how to revise a historical index fixing in QuantLib when a new value conflicts with a value already stored for the same date. By default, adding a duplicate fixing raises an error rather than replacing the existing observation. The C++…
The document examines how futures convexity affects interest-rate curve construction, including multicurve bootstrapping. Futures quotes can be related to synthetic forward rates derived from discount curves, with a convexity adjustment. Modeling that…
The document considers why a portfolio manager converting fixed-rate residential mortgage payments into floating payments might choose an interest-rate swap whose notional declines over time. The central explanation is that the swap can be structured to…
The document explains why LIBOR is not automatically the right discounting basis for valuing uncollateralized derivative exposure. LIBOR may have served as a legacy proxy for a bank’s unsecured funding cost, but an institution-specific funding spread can…