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
A sinking fund retires portions of a bond issue over time, either through market purchases or trustee purchases, often under a lottery and at a specified call price. Its payment schedule and mechanics depend on the bond indenture, including any deferment or…
OIS and LIBOR swap curves are used to discount and compare bonds and interest rate derivatives because they better reflect the funding rates available to many financial institutions than US Treasury rates do. Treasury rates may be more appropriate when…
The document explains how a bond’s cash flows can be converted into another currency using a cross-currency swap. An investor could hold a fixed-coupon U.S. Treasury and exchange its expected dollar payments for payments in a foreign currency, creating…
The document prices a claim that pays the ratio of a non-dividend-paying stock’s value at a later date to its value at an earlier date. Assuming no arbitrage, continuous trading, borrowing and lending at the risk-free rate, and that the claim can be…
The document explains why carry can be described as zero when interest rates evolve along projected forward rates. It distinguishes two conventions for a deterministic passage of time. In derivatives practice, market variables are assumed to age according to…
The document asks how to reproduce a one-year euro implied yield shown by a Bloomberg terminal from a spot exchange rate, a forward exchange rate, and a US dollar yield. It presents the relationship used for the calculation: the spot bid divided by the…
The document asks how to recover a short-rate stochastic differential equation from an explicit expression for the rate. Its answer explains Itô’s lemma for an Itô process and applies it to a time-dependent transformation of the rate, then rearranges the…
The document poses questions about Markovianity in the two-factor Hull–White interest-rate model and in short-rate dynamics derived from the Heath–Jarrow–Morton framework. It describes a calibration setting in which the factor correlation is close to minus…
The document explains the role of conversion factors in bond futures with a basket of deliverable bonds. A conversion factor adjusts each bond’s invoice price using a standardized reference yield assumption, making bonds with different coupons more…
The document clarifies how the monthly average effective federal funds rate is treated when calculating the settlement price of 30-day federal funds futures. Although published effective rates are available only for business days, the contract’s averaging…
The document compares the risk-neutral measure associated with a money market account numeraire with a forward measure associated with a zero-coupon bond. The change of measure is expressed using a Radon–Nikodym derivative involving the cash account and bond…
The document relates discounted cash flow valuation to equity value and market capitalization. In a simplified setting, the present value of expected asset cash flows represents the unlevered firm’s value. Subtracting the market value of debt gives the value…
The document answers a data-source question about Moody’s average corporate cumulative default rates. It distinguishes annual default studies from a publication series that reports average historical rates across cumulative time horizons. The cited source is…
The discussion explains why valuation adjustments for counterparty credit risk are associated especially with derivatives, while noting that they can also be understood in cash products. A loan has a comparatively direct exposure based on its outstanding…
The document raises a question from mathematical finance about consistent price functionals. In the stated framework, a positive linear functional assigns prices to adapted processes, and consistency requires it to assign zero value to dividend streams…
The document presents a cash-flow replication method for determining the price of a risk-free bond from two other bonds. Each bond is represented by its payments at the present, six-month, and one-year dates. The target bond pays nothing at the intermediate…
The document explains why moving a balance from a later date to an earlier date can produce inconsistent results when formulas for simple and compound interest are mixed. Under compound interest, discounting from the later date to the present and then…
The document distinguishes the mechanical relationship between a bond’s price and its yield from the market value investors may assign to convexity. Discounted cash flows determine the price implied by a chosen yield; this calculation does not itself judge…
The document surveys ways to infer aggregate risk aversion from public market data and explains why the estimate depends on a model. One proposed proxy compares expected market returns with volatility, using the S&P 500 as a stand-in for the market…
The document asks why financial models often use a diffusion coefficient proportional to the square root of the state, rather than a more general power. Its answer gives two reasons, using the Cox–Ingersoll–Ross process as an example. First, when the…
The document distinguishes a bond or fund’s maturity from its duration. Maturity is the time until the final contractual payment, while duration reflects the timing of cash flows and, in the effective-duration setting, the sensitivity of price to a change in…
The document compares two ways to estimate value at risk for a fixed-income portfolio. A simple method combines yield volatility, measured in basis points, with position sensitivity such as PV01. For multiple bonds, summing individual VaRs assumes their rate…
The document defines the dollar zero rate and foreign zero rate used in a foreign-exchange forward-pricing expression. The dollar zero rate is the interest rate associated with a dollar-denominated zero-coupon bond. The foreign zero rate is the corresponding…
The document diagnoses why a QuantLib overnight indexed swap built to check an OIS curve may request a fixing dated before the evaluation date. The example combines two fixing days in the overnight index with two settlement days in the rate helpers and then…