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 discussion clarifies how to calculate the floating and fixed cash flows on an overnight indexed swap. The fixed leg is generally a simple interest amount under the applicable day-count convention, rather than a compounded notional repayment. For the…
The document explains when a cross-currency swap can be viewed as two interest rate swap legs. For a typical physically delivered fixed-for-fixed or fixed-for-floating structure, each currency has its own interest cash flows, and principal exchanges must…
The question investigates why a USD zero-coupon inflation swap’s fixed-leg payment can remain unchanged when its maturity date moves by a few days, then jump to the next annual compounding amount. The answer proposes interpreting the 1/1 convention through a…
This document considers how to interpret significant cross-correlations with opposite signs at adjacent lags in two time series. Its example frames interest rate data as sound signals and reports a strong positive correlation at zero lag alongside a stronger…
Bond yields are generally quoted using a compounding frequency that matches the coupon payment schedule. Some markets instead standardize yields to the frequency used for local government bonds, which makes comparisons with benchmarks and across issuers…
The document explains a formula for estimating a one-period total return on a ten-year Treasury note using its yield at the start and end of the period. The formula values the note’s coupon stream as an annuity discounted at the ending yield, adds the…
The document examines a structural default model in which a firm's unobserved assets follow a geometric Brownian motion and default is linked to a debt threshold. It contrasts measuring default at a fixed horizon by checking whether assets finish below the…
The document derives the value of a floating-rate note before its next coupon reset in a continuous-time zero-coupon bond framework. Each future floating coupon is represented as the difference between discount bond prices at its reset and payment dates.…
The document asks whether methods besides principal component analysis are standard for decomposing interest-rate term structures. The response names the Nelson–Siegel model as another commonly used approach. This points readers toward a parametric way to…
The document asks whether a sharply inverted credit default swap curve can create arbitrage. Its example compares protection at two maturities: buying longer-dated protection and selling shorter-dated protection may appear to leave a positive premium balance…
The document discusses how the move from LIBOR to risk-free reference rates affects swap discounting and curve construction. It describes the market shift to SOFR discounting for US swap quotations and cleared swaps, and explains that an existing projection…
The document explains an ACT/365 deposit-interest calculation when settlement timing and a business-day convention affect the maturity date. In the example, a deposit is quoted for seven days, but T+2 settlement falls on a weekend, so the answer treats the…
The discussion considers what mathematical background can help a reader understand and implement models in Brigo and Mercurio, including HJM, LMM, and local volatility models. The questioner has studied introductory stochastic calculus and is working through…
The document explains how to value a payoff equal to a forward LIBOR rate fixed and paid at the start of its accrual period by translating it into a payoff at the period's end. Under the assumed risk-neutral framework, the rate known at the start can be…
The document asks which representation of interest rates should be used when applying principal component analysis or other stress tests to interest rate swaps: par swap rates, spot rates, or forward rates. It notes that the studies the author has…
The document explains the cash-flow interpretation of a vanilla interest rate swap when its fixed rate is negative. In the example, the fixed-rate payer pays a negative fixed amount and receives the floating Euribor leg. A negative fixed payment means that…
The document asks whether a forward Libor rate remains a martingale at intermediate times under the forward measure associated with its payment date. The accepted response applies the tower property of conditional expectation: if the rate is a martingale…
The document derives the stochastic dynamics of a forward rate from the risk-neutral dynamics of zero-coupon bond prices. It first defines the instantaneous forward rate as the negative maturity derivative of the log bond price, then uses the…
The discussion examines whether option-adjusted spread can support comparisons among bonds with embedded options, plain bonds, and floating-rate instruments, and whether a plain bond’s OAS matches its Z-spread. It also asks whether an OAS curve can help…
The interview question asks what can drive a bond’s daily profit and loss after excluding carry, price changes, and interest-rate changes. The responses frame it as a conceptual prompt that tests whether a candidate can identify and organize relevant…
The document distinguishes detecting a bond’s richening or cheapening from estimating its fair value. A regression of daily price changes against related securities can accumulate residuals that show relative moves, but those moves alone cannot tell whether…
The response derives a closed-form present value for an infinite sequence whose cash flows follow a cosine pattern and are discounted at a constant rate. It notes that odd-indexed terms vanish, rewrites the surviving cosine terms as alternating signs, and…
The document addresses which bond data to use when estimating a portfolio variance–covariance matrix. Its central recommendation is to model returns rather than covariance of raw prices. For longer-maturity bonds, historical returns from traded prices may be…
This note examines a fixed-rate bond with a five-year first coupon period followed by semiannual coupons. In the described QuantLib setup, the calculated yield is below the coupon rate even though the bond is issued at par; the author reports that Bloomberg…