The document explains why exchange-traded commodity futures are commonly quoted by contract expiry month, while swaps and other over-the-counter fixed-income products are often quoted by tenor. Futures exchanges concentrate trading in a limited set of…
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5,701 documents
The document asks how a quoted swap rate volatility relates to the time-dependent volatility in a one-factor Hull–White interest rate model. It presents a formula that maps the model volatility path into swaption volatility using a maturity and tenor…
The document frames a central challenge in strategy research: a plausible market view may already be reflected in prices, leaving little edge in simply predicting an anticipated event. It uses expectations around a possible central bank rate cut and the…
The document investigates why a QuantLib overnight index fixing does not exactly match a manually derived one-day forward rate from a yield curve. The author sets up an overnight index with a curve handle and compares its fixing with forward rates calculated…
The document discusses why exact future stock or bond price levels are difficult to predict while noting that some narrower patterns and investment decisions may still be useful. The answers distinguish price forecasting from portfolio management,…
The document considers a contract that pays the instantaneous short rate at a future date and relates its price to zero-coupon bond prices. Under risk-neutral valuation, the expected discounted future short rate can be expressed as the negative maturity…
The document addresses how to estimate the DV01 of a bond forward when a forward price is available but the sensitivity is not. The suggested method is to shift the repo rate by one basis point, recalculate the forward price, and measure the change. This is…
The document describes a proposed Monte Carlo approach to valuing the termination option embedded in a zero-coupon bond. The setup is a 20-year bond callable after ten years, with a stated zero rate and Z-spread. The author proposes estimating the future…
The document clarifies the sign convention and maturity matching used for swap spreads and asset swap spreads. A swap spread compares a swap rate with a Treasury yield; it is treated as negative when the Treasury yield is above the swap rate. An asset swap…
The document explains how to think about carry and roll-down when modeling a bond index. It distinguishes carry, the bond’s return effect under an unchanged yield curve, from roll-down, the part of carry associated with moving along the curve as time passes.…
The document raises implementation questions about pricing an autocallable product with a local volatility model. Its payoff description includes coupons accumulated at observation dates and paid when an autocall barrier is reached, along with a short…
The document discusses constructing a zero-rate curve from ESTR OIS par-swap quotes when some maturities, including intermediate long tenors, are unavailable. It outlines a bootstrap that solves discount factors sequentially from swap rates and earlier…
The document discusses curve construction in an emerging market where a conventional local interest-rate swap curve is not observable. Its Argentina example describes using cross-currency swaps that exchange fixed local-currency payments for floating US…
The note explains the payment schedule convention for 15-, 18-, and 21-month euro overnight index swaps referencing ESTR. It says these contracts have a short initial period followed by a 12-month period, rather than paying only once at maturity. The stated…
The document describes how to interpret principal components from a principal component analysis of yield curve movements. The first three components have familiar shape interpretations: the first represents a broadly parallel level shift, the second…
The document explains how to expand the time integral of a mean-reverting factor in the G2++ short-rate model. It uses the solution of the Ornstein–Uhlenbeck stochastic differential equation between the current time and an intermediate time. That solution…
The document explains how zero-coupon bond prices connect to instantaneous forward rates, short rates, and the bond’s yield. A bond price can be written as the exponential of the negative integral of forward rates over the bond’s term. Under risk-neutral…
The document responds to a request for an introductory, broad view of market risk in investment banking, particularly for an IT professional working with a quantitative risk team. The recommended starting point is a four-volume reference on market risk…
The discussion distinguishes the repo interest rate from the haircut applied to collateral. It frames a repo as secured lending: cash providers compare it with alternatives such as unsecured lending and buying short dated government bonds. Because repo…
The document explains how an FRA quote links discount factors at the start and end of its accrual period, and how that relationship can extend a short end Euribor curve. Under simple accrual, the forward rate and tenor determine the ratio of the two discount…
The document asks how to use a counterparty’s credit default swap spread when estimating credit valuation adjustment. The response illustrates a simplified one-period relationship: if the protection premium is paid upfront, the spread is equated to expected…
The document explains one reason a finance team may need a credit valuation adjustment (CVA): under Basel III reporting, a CVA charge can increase the capital required for trading over-the-counter derivatives. It also places CVA alongside debit valuation…
The document addresses why a short cash instrument’s quoted fixing rate, a bootstrapped zero rate, and a displayed Bloomberg curve value may not appear to agree. The explanation is that the displayed zero curve converts from simple discounting on an ACT/360…
The document considers whether monthly fund returns can be modeled as mean reverting and whether an Ornstein–Uhlenbeck process is suitable. The response cautions that fitting a mean-reversion model to returns assumes past returns help predict future returns,…