The document explains why dates supplied to QuantLib’s futures rate helpers may not appear as nodes in a bootstrapped yield curve. A futures contract provides a forward rate for an accrual period, so its start date is not the tenor date inferred by the…
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5,701 documents
The document explains how to describe and assess a roll between Treasury futures delivery months. The quoted market roll is the front contract price minus the back contract price, expressed in thirty-seconds. A theoretical comparison starts with the fair…
The document considers estimating hedge ratios for spreads between Treasury futures when historical DV01 data are unavailable. It describes empirical DV01 as an estimate from a regression of futures price changes against changes in the yield of the…
The document describes an attempt to calibrate the two-factor G2++ interest-rate model to cap volatility quotes using QuantLib's Python interface. The example builds a yield curve, creates cap helpers from maturities and volatility inputs, sets an…
The document explains why swap valuation may require separate discounting and forward curves, and why the appropriate forward curve depends on the floating rate index in a swap. For a vanilla swap, the curve built from the most liquid swap quotes and futures…
The document asks whether actively trading bonds could produce returns comparable to some equity strategies, given that bond returns are often associated with coupon income while equity returns include price appreciation. Its answer frames the question…
The document describes a market quotation for a one-year at-the-money straddle on the difference between the ten-year and two-year constant maturity swap rates. The quoted bid and offer are given as prices in percentage terms, rather than as an implied…
The document explains how to obtain the dynamics of a zero-coupon bond price from a stochastic model for the short rate. Under the risk-neutral measure, the bond price is expressed as the expected discount factor from the current time to maturity. Assuming…
The document asks whether floating rate notes have no roll-down over a given horizon because they are relatively insulated from interest rate risk. The response distinguishes pure floaters from notes that pay a margin over the reference rate. For a pure…
The document raises a fixed income question about callable perpetual bonds. It observes that Bloomberg’s calculated yield uses the first call date as the workout date, and that for a fixed price this date appears to produce the lowest yield among the…
The document explains why overnight indexed swap rates became a common discount curve for collateralized derivatives. In the US example, OIS reflects expectations for the Fed Funds rate, which monetary policy influences, while private interbank funding rates…
The document asks why a swap’s annuity factor should be proportional to its coupon value change for a one basis point move, called CV01. It starts from the par swap pricing equation, expressing the fixed coupon and discount-factor sum alongside the maturity…
The document explains how to select curves for valuing interest rate swaps and swaptions when floating indices have different tenors, such as three or six months. The curve associated with the floating index is used to forecast its cash flows: a swap…
The document discusses how to compare Vasicek and Cox–Ingersoll–Ross (CIR) models for fitting zero-rate curves. Rather than judging the models from a single observed curve, it recommends calibrating each across many curves with varied shapes, including flat,…
This note discusses how point-in-time (PIT) and through-the-cycle (TTC) default probabilities fit into a one-factor Merton-style credit model. It presents the conditional default probability given a systemic economic factor and explains that inserting a TTC…
The document discusses how to align an expert-based internal scorecard for commercial loans with external agency rating categories. It suggests ordinal logistic regression when agency rating category is the target, since ratings are ordered categories rather…
A bond that trades special in the repo market can be financed at a rate below general collateral (GC). That financing advantage can support a higher bond price, or equivalently a lower yield, than would prevail without specialness. The document estimates the…
A hedge curve template (HCT) specifies the market instruments and curve-building method used to create scenarios for measuring an instrument’s risk. Its design determines which rate changes the risk report can show and how closely those scenarios resemble…
The document asks how to price a floorlet whose payoff depends on a linearly compounded rate derived from a bond price. It specifies a risk-neutral model in which the short rate and a second state variable, sigma, both evolve stochastically. The proposed…
The document explains how to obtain swap rates along simulated paths in a one-factor Hull–White short-rate model. The model describes the short-rate dynamics, and its analytical zero-coupon bond pricing formula relates each bond price to the current short…
The document says short-horizon curve construction depends on the market and intended use. For a USD swap curve, builders can incorporate actively traded instruments with different maturities and frequencies, including monthly fed funds futures, short-dated…
This exchange recommends books for a reader seeking an accessible introduction to credit risk management in banking. The question highlights exposure at default, probability of default, loss given default, risk-weighted assets, and regulatory frameworks as…
This overview lists stochastic processes used in quantitative finance and gives their representative stochastic differential equations. Brownian motion provides the random driver; geometric Brownian motion models an asset with proportional drift and constant…
The document explains how to interpret a short-term fixed-for-floating SOFR swap quote and reproduce its cash flows. The quoted ticker represents a swap with specified settlement and maturity dates; generic instrument descriptions alone do not identify those…