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
This document frames a pricing problem for defaultable bonds when default intensity is stochastic and correlated with the risk-free interest rate. The proposed setup uses a two-factor Gaussian model, with one factor for rates and one for default intensity,…
The document examines how to interpret annual effective-rate discounting when the cash-flow horizon is a fraction of a year. It starts from the present-value relation that divides a future value by one plus the annual rate raised to the time in years. The…
The document considers why a leveraged fund might hold a cash bond to obtain interest-rate exposure when an OIS swap could provide similar sensitivity. It does not identify a universal pricing advantage when the instruments are fairly priced. Instead, the…
The response challenges the idea that a total return swap without a formal early-termination clause should be valued by projecting its cash flows to maturity. It separates the swap into an underlying instrument leg and a financing leg. For a dealer holding…
The discussion compares pricing approaches for forward-looking LIBOR-style caplets and backward-looking caplets based on compounded overnight rates such as SOFR. It describes using Hagan implied-volatility approximations with SABR parameters, then adjusting…
The document distinguishes processes with independent increments from Lévy processes. In a process with independent increments, future increments are independent of the information available at the start of the interval; a Lévy process adds the condition…
The document considers which market data should anchor the short end of zero-coupon curves for Eurozone sovereign issuers outside Germany. It distinguishes interbank reference rates such as Euribor and EONIA from government borrowing rates: the former…
The document asks how to compare a forecast of three-month carry and rolldown on a five-year interest rate swap with the swap’s realized return. It cites a decomposition into the return from changes in market value, the effect of the curve point rolling to a…
The document defines a discounted stock price as the stock’s value divided by the money market account, or, with a constant rate, as the stock price multiplied by the discount factor. Under the risk-neutral measure, this discounted price is a martingale. The…
The document explains how to prepare an object accepted by the `estim_nss` function in R’s `termstrc` package, which estimates a spot curve from bond data. The key requirement is to build the package’s expected nested bond-data structure and assign it the…
The document compares Bloomberg and Reuters as market data sources for a firm considering consolidation of feeds used for derivatives and bonds. It covers pricing, infrastructure, data quality, instrument identifiers, and alternative vendors. The response…
The document explains negative repurchase agreement rates using euro-area monetary conditions. When central bank policy rates are negative, overnight repo rates can also fall below zero. In the example discussed, a cash borrower posting German or French…
This exchange considers why two bonds from the same company can show sharply different Z-spreads, challenging the idea that the measure isolates issuer credit risk and should therefore be similar across the issuer’s debt. It illustrates the issue with two…
The document explains why, all else equal, a callable bond can be worth more to its investor when its call price is higher. One answer compares the embedded call feature to a put-like protection: with a higher call value, interest rates must fall further…
The answer distinguishes statistical risk analysis from no-arbitrage derivative pricing. For portfolio risk measures such as value at risk or expected shortfall, analysts generally model outcomes under the real-world probability measure, informed in some way…
The document asks how quantitative finance software differs from classroom implementations, using European option pricing as its example. A basic Black–Scholes formula can be coded directly from a few inputs, while a production library such as QuantLib…
The document distinguishes two meanings of volatility in bond option analysis. Price volatility can mean implied volatility from a Black-style option pricing model using the bond price as the underlying. Yield volatility instead treats bond yield as the…
The document frames the choice of when to lock a mortgage rate during the period before closing as an optimal stopping problem. Once locked, the borrower cannot switch back, and the objective is to choose a favorable rate from the available sequence. It…
The document describes how to price a forward contract on a zero-coupon bond using no-arbitrage. The example gives a bond with a stated face value and current price, a forward maturity before the bond’s maturity, and a binomial short-rate lattice. The key…
The discussion explains how bond DV01s measure each bond’s approximate price sensitivity to a one basis point move in its own yield, under a parallel shift assumption. Because the 5-year and 30-year bonds respond to different points on the yield curve, a…
The document shows how to derive the price of a 10-year zero-coupon bond from two 10-year coupon bonds with different coupon rates and known prices. The replication scales a long position in the lower-coupon bond and a short position in the higher-coupon…
The document explains the distinction between clean (quoted) and dirty (cash) bond prices when specifying a bond option. Its answer emphasizes that over-the-counter contracts can define their strike and underlying price according to the parties’ chosen…
Reverse stress testing starts with an unacceptable outcome, such as a specified portfolio loss or capital shortfall, and works backward to find market scenarios that could produce it. When many combinations could reach the threshold, assumptions about how…
The document explains an equivalence between a caplet paying a floating rate above a fixed strike and a put-style payoff on a zero-coupon bond. Its economic interpretation treats the caplet as the right to sell a one-period coupon bond with a predetermined…