The document frames a modeling question about replacing deterministic correlations with stochastic correlation matrices in a multi-factor fixed-income model such as a LIBOR market model. It argues that fixed correlation may be adequate for short-maturity…
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5,701 documents
The document explains why a floating swap leg does not always become independent of day-count conventions, even when the accrual fraction appears to cancel between the coupon amount and the forward rate. That cancellation requires the day-count fraction used…
The document describes an attempt to price a euro zero-coupon inflation swap in QuantLib and reconcile the result with Bloomberg. The author reports that prices are close when the swap dates fall on whole-year anniversaries of the valuation date, while…
The note addresses how to size a long breakeven inflation position using an individual inflation-linked bond and a nominal Treasury of similar maturity. It describes a common starting assumption: real yields and nominal yields have a beta of one. Under that…
The document asks whether variance swaps on interest-rate swap rates are actively traded and liquid, comparing them with the more familiar equity variance swap market. The response offers a brief market-liquidity observation rather than a pricing method or…
This discussion considers whether investors’ month-end trades tracking the Bloomberg Barclays Agency MBS Index can be anticipated. It explains that index replication in agency mortgage-backed securities often uses TBA contracts rather than the underlying…
The document frames a modeling question about predicting the difference between a bond auction’s yield and its when-issued yield. The data are described as sparse: auctions occur monthly, and the author reports 850 results across maturities over a…
The note distinguishes risk-neutral pricing from estimation of the market price of risk for short interest rates. Bond and bond-option prices are used to calibrate risk-neutral dynamics, but those parameters alone do not identify the physical-measure risk…
The note explains how to translate a Eurodollar futures price move into profit or loss. It gives the contract’s dollar value per price point and basis point, then applies the general calculation: value per point multiplied by the price change and number of…
The note explains what can happen when a structured finance deal reaches a call trigger. The SPV manager sells or liquidates the pool assets at a price agreed with a third party or the originator, then uses the sale proceeds to redeem outstanding bonds and…
The document contrasts equilibrium short rate models, such as Vasicek, with no-arbitrage models, such as Hull–White. Vasicek uses a mean-reverting process with fixed parameters, so the model generates the discount curve from those parameters. Hull–White…
The document examines an Actual/Actual AFB year fraction when the date range spans several complete years and leaves a stub around a leap day. It outlines the convention’s approach: count complete years backward from the period end, apply the February 28…
The document examines a proposed arbitrage based on one-year and three-year spot rates and a one-year forward rate for the following two years. It first derives the intermediate spot rate from the relationship between the longer spot investment and the…
The answer addresses why a Bloomberg USD interest-rate swap curve may include a contract classified as a financial commodity future. It explains that the curve setup described is longstanding and points readers to Bloomberg’s curve configuration and…
The document surveys several active research questions in quantitative finance. It highlights the transition from interbank offered rates to replacement overnight reference rates, which requires new or adapted pricing and risk models despite limited…
The document considers a swap that receives three-month Libor plus a spread and pays a rate that depends on whether Libor is above a strike. The proposed simplification applies when Libor is fixed at the beginning of each three-month accrual period. Under…
An FX Targeted Accrual Redemption Note (FX TARN) is a structured note whose coupon depends on one or more exchange rates. The example links a coupon to the change in a yen–US dollar rate and ends the note once accumulated coupons reach a target; if the…
The document examines whether bond immunization should account for time decay alongside duration and convexity. One answer models the short rate as a diffusion and derives a bond-pricing partial differential equation. It shows that the time derivative is…
The document describes a preliminary Python and QuantLib approach to pricing fixed-fixed GBP-USD and EUR-USD cross-currency swaps with limited market inputs. It builds GBP SONIA and USD SOFR curves, applies a quoted cross-currency basis as a flat shift to…
The document explains how centering and scaling affect principal component analysis (PCA), in response to a question about why a credit research report recommends normalization for credit default swap data but not for other products. PCA on unscaled…
The document examines a present value formula for an Australian Commonwealth Treasury bond with semiannual coupons. It asks how to interpret the fractional discount factor applied before the first coupon and the coupon term that appears separately from the…
A step-up coupon bond can be valued by discounting each scheduled coupon and principal cash flow using a trial yield, then comparing the total present value with the bond’s price. The changing coupon amounts are entered for their respective periods, with…
The document explores whether sovereign default probabilities, potentially inferred from credit default swap prices, can help estimate a country's probability of hyperinflation. Its central response is that markets in countries with substantial…
The discussion explains why the payoff of a payer swaption cannot generally be inferred from the terminal swap rate alone. If the swaption finishes in the money, its value is the present value of the fixed leg annuity, whose payments must each be discounted…