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 document asks how to compare two investments with the same initial cost but different annual cash payments and terminal repayment amounts. One pays larger yearly interest but returns less principal at maturity; the other pays smaller yearly interest and…
The note explains why a floating-rate note is a weak instrument for extracting expectations about rates beyond its next reset. At a reset date, the bond is priced at par using the rate for the coming coupon period; between resets, its value still mainly…
The document addresses how day-count conventions and compounding assumptions relate to discount factors for legacy LIBOR interest-rate swaps. Its central distinction is between the conventions used to calculate swap cash flows and the time mapping used to…
The document asks whether the Laplace transform of an increasing process can be used to obtain the distribution or Laplace transform of its first passage time to a fixed threshold. It focuses on the integrated Cox–Ingersoll–Ross process, formed by…
The document considers building an internal rating model that maps corporate default probabilities to rating categories. The proposed approach is logistic regression using financial ratios as fixed effects, with sector and year as random effects to represent…
This discussion considers how a retail investor might gain exposure to a future twelve-month LIBOR fixing to hedge a liability tied to rising rates. The direct instrument identified is a forward rate agreement, but the answer says retail access and liquidity…
The document describes a curve-building problem in the front end of a EUR six-month swap curve. The market instruments include a six-month deposit followed by a dense sequence of forward rate agreements and short swaps. Using quoted maturities directly as…
The document poses two practical questions about principal component analysis of a long history of US yields across many maturities. One asks whether PCA should be applied to yield levels or to their daily first differences when the research target is…
The document explains why QuantLib’s OIS rate helper applies the Modified Following business-day convention when it builds a payment schedule. The convention is fixed in the helper’s schedule construction, so users cannot select another convention through an…
The document describes a practical way to translate an at-the-money cap volatility quoted for one reference tenor into an estimate for another. The proposed scaling keeps the product of Gaussian volatility and the relevant swap rate approximately constant,…
The document compares constant-parameter Black-Karasinski and Vasicek short-rate models. Both specify a distribution for the short rate, but Black-Karasinski models the logarithm of the rate, preventing negative rates, while Vasicek models the rate directly…
The document explains how to derive discount factors from a short deposit rate and coupon bond prices when market inputs are sparse. It assumes annual bond coupons and uses the 6-month deposit to establish the first discount factor. The 1.5-year bond price…
The document considers whether valuation of a notional-reset cross-currency swap should account for the relationship between exchange rates and interest rates. In the example, one leg’s notional is reset using the spot exchange rate at the start of each…
The question proposes estimating undiversified VaR for each fixed-income instrument from historical changes in yield to maturity. The suggested process takes a lower-tail yield-return quantile, converts it into a yield move using the latest yield, and…
This exchange addresses a small discrepancy in a Treasury bond pricing implementation checked against the Securities Industry Association’s standard calculation examples. The question describes a bond with irregular first and last coupon periods and reports…
The document raises a distinction between the U.S. Rule and the actuarial method for calculating interest. It questions the idea that the actuarial method compounds unpaid interest while the U.S. Rule never does, citing a lending-computations text that links…
The document uses a one-period example to explain why a risky bond’s z-spread need not equal the spread on a credit default swap referencing the same issuer. It specifies a discounted bond price, coupon, risk-free rate, recovery assumption, and a default…
The document compares two possible ways for a bank receiving fixed on a daily margined interest rate swap to increase its PnL: raising the client’s fixed rate or changing the collateral rate. It argues that a higher fixed rate has a direct valuation effect,…
The document asks how the market value of a credit default swap with a fixed coupon relates to its par spread and recovery rate. It starts from the intuition that value varies with the difference between the contract coupon and the par spread, while…
The discussion considers which standard finance models become problematic when nominal interest rates turn negative. It distinguishes models that impose a nonnegative rate floor, such as the basic CIR specification, from Gaussian models that can already…
The document compares trade-date and settlement-date treatment for bond amortization and accretion. One answer cites performance standards that call for trade-date accounting and accrued-income accounting for fixed-income securities. Another distinguishes…
The document examines a perpetual coupon defaultable bond model described by a Cauchy–Euler differential equation, with the discount rate changing at a threshold in the issuer’s asset value. For a constant rate, the stated solution combines a constant term…
The explanation shows how to infer discount factors from short-dated ESTR swap quotes. It identifies the swap’s spot start, ACT/360 accrual convention, and the relationship between a compounded overnight forward rate and discount factors. For the first short…
The document explains why a Heath–Jarrow–Morton forward-curve model may be preferable to a short-rate model for pricing complex interest-rate derivatives. For simpler instruments, a short-rate model can capture the main source of variance. However, its…