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.
5,701 documents
Bond prices reflect more than scheduled cash flows. Even bonds with very low default risk can move as investors change their demand for safe assets or revise expectations for monetary policy. For riskier government and corporate debt, yield spreads over a…
The document presents practical ways to estimate the parameters of the Vasicek short-rate model without relying only on an unconstrained fit to bond prices. One approach discretizes the model into an approximate AR(1) process and matches theoretical and…
The document explains how TIPS can produce a positive nominal return despite a negative real yield, while still failing to preserve purchasing power. At maturity, inflation adjusts principal, but the adjusted payment may not offset the purchase price; the…
The document asks whether refinancing should be triggered by a simple comparison between lower interest payments and refinancing fees. It presents consumer heuristics for fixed-rate mortgages, including refinancing when market rates fall by a threshold or…
A unilateral extinguisher is a swap portfolio that may be canceled after a credit event affecting one counterparty. Whether it ends depends on whether its mark-to-market value is above a contractually set threshold; a recovery payment may also apply. This…
The note works through a 97.5% expected shortfall calculation for two independent bond portfolios. Each portfolio has two possible loss amounts, and independence lets the combined outcomes be enumerated: both portfolios incur the smaller loss, one incurs…
The document considers a perpetual monthly payment obligation issued in exchange for an initial cash amount, with the issuer able to terminate it after a waiting period by repaying that original amount. It identifies the arrangement with a perpetual bond or…
The document examines whether arbitrage-free pricing forces zero-coupon bond prices or spot rates to move monotonically with maturity. The question derives a presumed declining spot-rate curve from an assumed monotonic increase in bond prices, then notes…
The document explains why the choice of discount rates changes a bond duration measure. Traditional Macaulay duration discounts each cash flow using the bond’s single yield to maturity, then weights its payment time by the present value of that cash flow…
The answer explains asset liability management through the example of a pension plan, where invested assets must support future benefit payments. Liability assumptions include the size and timing of payments, mortality, inflation, and potentially political…
The question sets up a discretized forward-rate model in which each forward is lognormal under its associated zero-coupon bond measure. It derives the resulting normal distribution for the log forward at its fixing date and uses that distribution to motivate…
The answer models an interest rate swap as an asset leg and a liability leg, then expresses generalized duration as the asset value times its duration minus the liability value times its duration. The sign reflects the liability’s negative contribution to…
The discussion asks whether a floating-rate note’s discount margin (DM) change can approximate its credit-related return, in the way spread changes and duration are used for fixed-rate bonds. One proposed method estimates the bond’s price sensitivity to a…
The document explains how derivatives can change a borrower’s practical liquidity and recovery profile even when derivative claims rank equally with senior debt in bankruptcy. Under collateral agreements, a firm may have to post cash or securities as market…
The discussion distinguishes policy rates, interbank rates, and other borrowing rates, then explains how changes in interest rates can relate to currency values. One answer describes the chain from central bank rates to bank and business borrowing costs,…
The document asks whether credit markets have a volatility index comparable to familiar measures for equities and interest rates. Its answer points to four daily implied-volatility measures covering North American investment-grade and high-yield CDX indices,…
The document explains why the calendar spread between nearby German government bond futures can differ from zero and why rolling a position has a cost. Ignoring delivery options and margining, a bond future can be approximated as a forward whose fair value…
The document describes a credit-risk data preparation workflow for estimating probability of default. The example defines a default event from arrears, term-expiry, or bankruptcy indicators, recodes the outcome for modeling convenience, and uses stratified…
The document considers how to value a fixed-for-floating swap whose floating leg references a rate other than LIBOR, with a CNY example. It explains that the appropriate discount curve depends on the transaction’s collateral terms: for fully collateralized…
The document asks how Markit defines spot dates for several currencies and how intermediate discount factors enter swap-curve bootstrapping. Its central example is a two-year EUR swap: the coupon schedule needs an 18-month discount factor, while quoted LIBOR…
The document discusses how to estimate continuous-time credit rating migration dynamics from observed rating histories. It contrasts discrete-time cohort transition matrices, formed from beginning-to-end rating changes over a period, with a continuous-time…
The note addresses where to find historical corporate bond yield series, especially across credit ratings and maturities. It identifies FRED as a free source for some ICE Bank of America credit index data, including a high-yield index series. Such index data…
The document discusses assets that can have positive expected returns while their deviations from those trends are negatively correlated. It distinguishes this pattern from pairs trading, which generally seeks to profit from relative performance, and frames…
The document explains how to translate a credit default swap quote stated in points or as an upfront price into the market standard annual spread, usually expressed in basis points. It identifies the CDS standard model as the conversion method rather than…