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 compares two expressions for a Black 1976 caplet price. One discounts the option payoff using the discount factor to the payment date; the other uses the discount factor to the rate period's start date and divides by one plus the forward rate…
The exchange clarifies how term to maturity is used when constructing a discount function from bonds with coupon payments. Rather than assigning one maturity measure to an entire coupon bond, measure the time from the valuation date to each individual cash…
This collection presents examples of incorrect AI answers to quantitative finance questions and briefly contrasts them with corrections. Topics include converting yield quotations between compounding frequencies, whether mean-variance portfolio theory…
The document considers whether service vendors can buy credit default swaps to protect against customer nonpayment. The answers say this is uncommon and often impractical, and point to trade credit insurance as a more typical option. A CDS may not cover late…
The answer explains how to estimate a bond’s interest-rate sensitivity using DV01, the price change associated with a one-basis-point yield move. First establish the bond’s market price and settlement date, then identify the yield convention and calculate…
The document addresses two practical questions in interest rate swap work: which quote side to use when building a curve from short-end reference rates, futures for the medium term, and swap rates for the long end; and how dealers hedge swap exposure. The…
The document considers a novation in which one party replaces another on a cross-currency basis swap. It stresses that the relevant collateral valuation for the continuing trade is the CSA agreed between the incoming party and the remaining counterparty. The…
The document explains how effective duration can be used to estimate a mortgage portfolio’s sensitivity to interest-rate changes for duration gap analysis. It uses a central finite-difference calculation: reprice the mortgage at the current rate and after…
The discussion explains why a zero-coupon bond price can be represented as the risk-neutral expectation of its discounted maturity payoff, and addresses whether a separate replicating portfolio must be identified. In the framework described, the bond itself…
The question asks how to model daily credit spread changes using equity returns and swap yield changes, especially when equity sensitivity varies with the level of spreads. Replies describe several possible approaches rather than establishing a single best…
The discussion distinguishes tradable asset prices from quantities that influence them. Under the pricing framework described, an asset’s price divided by the chosen numeraire is a martingale under the corresponding pricing measure. A stock price discounted…
The document asks how to determine the fair fixed rate of an amortizing swap, whose notional declines on a schedule. The response describes an approximation for swaps without embedded call features: use market par swap rates to build an interpolated curve,…
The document compares a forward rate agreement (FRA) with a zero-coupon swap, focusing on payment timing and the number of accrual periods. An FRA exchanges fixed and floating interest over a single period, with settlement at the beginning of that period. A…
The document outlines a way to value cash flows that pay nothing upon default, using bond and credit default swap information. Assume a recovery rate for the relevant senior debt, then infer risk-neutral survival probabilities from market quotes. Multiply…
The document clarifies when the holder of a midcurve payer swaption must decide whether to enter the underlying forward-starting swap. The answer says the decision occurs at the option’s expiry, using the example of a one-year option on a five-year swap…
The document questions media descriptions of US Treasury futures basis trades as arbitrage. It focuses on a cash bond and futures hedge, especially when the bond is the cheapest to deliver, and distinguishes a negative gross basis from a genuinely locked-in…
The document gives a quick approximation for the mark-to-market change on a fixed-rate interest rate swap after a small change in its quoted rate. The proposed method multiplies the rate move by the swap’s duration and notional, with the sign determined by…
The document asks how to interpret the cash-account changes in Piterbarg’s framework for pricing derivatives under collateral agreements. It distinguishes dividend income on a hedging stock position from the cost of financing that position, and asks why…
The document concerns Japan’s benchmark interest rates, particularly TONAR and TIBOR, and asks how they differ from yen LIBOR and where to find TONAR’s calculation methodology. The response recommends an interest-rate instruments and market conventions guide…
The discussion compares broad approaches to estimating fair value in corporate credit. It notes that cross-sectional regressions are common in published work, then frames structural models, stochastic pricing models, and hybrids that use distance to default…
The document considers which discount curve to use for an uncollateralized cross-currency swap when valuation is expressed across two currencies. It weighs choosing a reporting currency and building a second curve with foreign-exchange forward or…
The document investigates why a QuantLib fair rate for a Mexican TIIE swap differs from the market quote used as a curve node. The response identifies two setup issues: the example’s swap start date does not match the stated one-day settlement convention,…
The document explains how to obtain a partial differential equation for a discount factor used to express a futures price. It starts with a pricing PDE for a claim depending on the spot price and interest rate, then substitutes the similarity form in which…
The document asks whether two bond valuation approaches treat default risk inconsistently. One approach defines expected yield to maturity for a zero-coupon corporate bond by discounting its probability-weighted expected payoff. The other values expected…