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
The question asks how to infer the price and yield of a three-year zero-coupon bond from prices for one-year and two-year zero-coupon bonds and a three-year annual-coupon bond. It proposes valuing the coupon payments using the shorter bonds’ prices,…
The document shows how to simulate short-rate paths from a two-factor G2 interest-rate process in QuantLib’s Python interface. Its central method is to advance the process one time step at a time with the process’s evolution method, supplying two Gaussian…
The document explains why the Hull–White interest-rate model allows its mean level to vary over time, unlike the constant long-run mean in the Vasicek model. Mean reversion describes rates being bounded by economic and political forces; it does not imply…
The document explains how three factors in a multifactor interest-rate model can correspond to common patterns in yield curve movements. It describes parallel shifts as changes in the average rate, slope changes as tilts, and curvature changes as hump shaped…
A swap rate can be expressed as a weighted average of forward Libor rates, with discount factors determining the relative weights. The discussion corrects the accrual-period indexing in the question: each six-month forward rate applies to the period ending…
The discussion considers a portfolio allocated across stocks, high-yield bonds, and commodities, and asks how to estimate its volatility. One response notes that fixed-income returns need to account for bond characteristics such as duration and spread…
This note compares zero-coupon inflation swap rates with Treasury breakeven inflation rates. A breakeven rate is calculated as the nominal Treasury yield minus the real yield on a Treasury Inflation-Protected Security of the same maturity. Since TIPS are…
The document examines whether a higher option-adjusted spread for a to-be-announced mortgage-backed security than for a specified pool means the specified pool is rich. It corrects an initial mistaken claim: because a specified pool is deliverable into a…
The document describes an attempt to value Brazilian real CDI swaps with QuantLib. The questioner tried building an overnight-indexed swap curve from futures and using observed discount factors, then discounting a zero-coupon swap, but reports that the…
The document outlines how to infer a short-term rate curve, and potentially policy-rate expectations, from forward rate agreement quotes when meeting dates do not line up with FRA accrual periods. It recommends constructing a discount curve with nodes at…
The document explains why a Treasury note’s yield cannot be recovered from its quoted clean price using a simple annual compounding formula. The note pays coupons semiannually and returns principal at maturity, so its price reflects the discounted value of…
The document explains why the short rate in the Vasicek model has a Gaussian distribution at a fixed time. After solving the stochastic differential equation, the rate is written as a deterministic mean component plus a stochastic integral with a…
The document discusses whether removing a precious-metal backing causes extreme inflation, and how private bank lending contributes to money creation. It distinguishes the monetary base, largely controlled by the central bank, from broader measures such as…
The document examines how recovery assumptions affect simulated corporate bond prices, especially when estimated recovery exceeds the bond’s market price. It identifies a potential inconsistency: under an immediate fixed recovery assumption, default can…
The discussion describes the ISDA CDS standard model as a reduced-form framework with a constant default hazard rate, equivalent to a homogeneous Poisson default process. Its main purpose, according to the answer, is not to model realistic stochastic credit…
The document compares Monte Carlo valuations of swaps and caplets defined on forward and backward interest rates. It sets out discrete-period definitions for the rates and asks why the swap present values are nearly equal while the caplet values are not. The…
The document examines whether a bond’s yield to maturity predicts an investor’s realized return when coupon payments are reinvested at a different rate. It distinguishes the bond’s YTM, found by discounting its contractual cash flows at a rate consistent…
The document investigates why manually constructed SOFR overnight indexed swaps do not always reprice to zero against a curve built from SOFR market quotes. The reported examples show small nonzero NPVs for some maturities when the schedule is created…
The document asks for a broad reference mapping traded derivatives to commonly used valuation methods. It illustrates the idea with examples: Black-Scholes for European equity options, a binomial model for American options, Monte Carlo simulation for Asian…
The document asks whether the Merton investor’s optimal risky asset allocation changes over time when the investor must consume wealth at a prescribed rate. It gives a Hamilton-Jacobi-Bellman equation for value as a function of time and wealth, with a…
The document asks how to value and hedge mortgage early payment options in emerging markets where swaptions, caps, and floors are unavailable. It considers starting with a one factor short rate model, such as a Black-Derman-Toy style tree, to value cash…
The document raises a fixed-income curve construction question: whether prices of U.S. Treasury STRIPS can be used directly to bootstrap a par yield curve, as an alternative to fitting a curve from coupon-bearing Treasury securities. The motivation is…
The document examines why standard future value functions can return implausible results for very large period counts. It focuses on a special cash-flow case: periodic payments equal the interest on the initial amount, so the mathematically exact future…
The document derives a European call price on a zero-coupon bond in the Ho-Lee short-rate model. It starts from the model’s bond price and bond volatility, then writes the option value as a risk-neutral expectation of the discounted payoff. Changing to the…