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 explains why Black-style models for interest rate options commonly use forward rates, rather than applying the Black–Scholes stock framework to a spot starting swap rate. The key practical issue is that a forward rate cannot generally be derived…
The document discusses discounting choices for cash flows under different collateral arrangements. For a trade with EUR cash collateral that accrues at the relevant overnight rate, the response explains that valuing a USD cash flow involves considering the…
The document explains that a bond denominated in a foreign currency creates foreign-exchange delta for an investor reporting in USD. To estimate the exposure, it considers the amount that would be received by unwinding the position at settlement: notional…
The document outlines a one-factor method for pricing LIBOR-resetting derivatives in a multi-curve interest-rate framework. The short-rate process is assigned to the OIS curve, which supplies discounting and can be represented with a standard Hull–White…
The document considers whether a discounted cash flow model can use a changing weighted average cost of capital during its explicit forecast period. The proposed approach would update equity cost by relevering beta each year, adjust debt cost as capital…
The discussion values a film’s screening rights when they generate a fixed payment every two years, beginning after the most recent screening. It expresses the finite stream as a geometric series of discounted payments, using the discount factor for a…
The discussion connects unemployment releases to bond futures through expectations about economic growth, interest rates, and bond yields. In one proposed chain, rising unemployment points to a weaker economy and possible rate cuts; lower yields then raise…
The discussion explains a first-order method for estimating daily mark-to-market changes on a credit default swap. It multiplies each daily change in the quoted CDS spread by the contract’s CS01, the value change for a one-basis-point spread move. This…
The document asks how to benchmark a Monte Carlo interest rate pricing model and choose time-step and path counts that meet an acceptable error target with minimal computation. It defines a converged model value by comparing prices across increasingly…
The document asks how to choose between normal short-rate models, such as Hull–White, and lognormal models, such as Black–Karasinski, when the aim is to reproduce market data. It notes the familiar limitation that a lognormal rate cannot become negative,…
The document asks how to interpret the smile dynamics implied by Dupire local volatility in a discussion of Hagan’s analysis. It presents an approximation linking local volatility to Black implied volatility, then considers calibrating that relationship to…
The document explains why SABR volatility can be unreliable for pricing constant maturity swaps (CMS). CMS coupons are especially sensitive to the far right tail of the implied volatility surface, so pricing often depends on behavior at very high strikes.…
The document frames a callable fixed-rate bond pricing question under the classic Hull–White short-rate model. It specifies a five-year bond with annual coupons, scheduled annual calls at par before maturity, no credit risk, and a euro swap curve as the term…
The document considers a Vasicek short-rate process under the risk-neutral measure and asks how to calculate the expected discount factor under the real-world measure. The answer explains that the Vasicek specification alone does not determine the change of…
The question concerns a lender’s exposure when a repo borrower can choose among eligible collateral. The borrower generally retains the collateral’s performance while the loan is outstanding, and weak collateral performance can trigger a demand for…
The document outlines a standard approach to estimating the yield of a floating-rate bond linked to compounded SONIA. First, obtain a projection curve and use it to estimate future SONIA fixings over the bond’s remaining coupon periods. Add the contractual…
The document considers whether a swap can have zero notional on one leg and what such a contract would represent. Its answer says that a leg with no effective payment stream generally removes the defining exchange of a swap. It distinguishes a zero swap rate…
The document considers how to compare a corporate bond's yield with an issuer curve built from other bonds that differ in maturity, issue size, and time since issuance. The questioner proposes weighting peer-bond liquidity by maturity distance from the…
The document examines how floating-rate bonds should be represented in banking-book interest-rate risk calculations under a regulatory approach that treats cash flows through the next reset and places a par notional at a bucket near that reset. It asks how…
The document asks how to construct a USD one-month LIBOR forward curve for pricing a one-month interest rate swap. It describes a proposed curve-building setup using one-month deposit rates at the short end, basis between one- and three-month rates, and a…
The answers sketch how mortgages could move from origination into securities during the pre-crisis market. One response describes lenders selling qualifying loans soon after closing, after which agencies or other entities could pool them into mortgage-backed…
The discussion explains why cross-currency swaps can be valued at zero when traded, even though their floating legs include a quoted cross-currency basis. The key is that market valuation uses discount curves calibrated from liquid FX forwards, FX swaps, and…
The document explains how discounting depends on collateral, funding conventions, currency, and counterparty credit. Its central example is a USD interest rate swap referencing LIBOR: because a standard swap is assumed to be cash-collateralized and daily…
The question asks whether two assets with identical payoffs at a future time must have identical prices at earlier times in continuous time. The answer uses a money-market account as the numeraire and assumes that each asset price discounted by this account…