The document explains why initial margin valuation adjustment (MVA) requires simulation even though initial margin is calculated at the start of a trade. It clarifies that initial margin is recalculated over time: market conditions, portfolio positions, and…
Knowledge library
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.
Search the library
5,701 documents
The document asks what an unfunded total return series for the CDX North American investment-grade index represents. It cites a Bloomberg series identified as an unfunded total return index and distinguishes the question from the general difference between…
The document introduces interest rate swap duration by describing the spot-starting calculation: compare the duration of the fixed-rate leg with that of the floating-rate leg. It frames the legs as similar to fixed-rate and floating-rate bonds, respectively,…
The document asks whether single-period Markowitz mean-variance optimization is theoretically suitable for portfolios containing assets with different cash-flow and maturity structures. It highlights that bonds pay coupons, mature, and respond to…
The document asks how to value a swap when the valuation date falls within an accrual period: use historical index fixings for the elapsed portion and project later periods from discount-factor data. The answer recommends adding available fixings to the…
The document asks whether normal (Bachelier) implied volatilities can be derived directly for caps or swaptions under a Libor market model, rather than first deriving Black-76 volatility and converting it. The proposed forward-rate dynamics use a…
The document discusses how to choose volatility inputs and calibrate a Ho-Lee style short-rate model for bond pricing. Its central point is that a model with only a small number of free parameters cannot generally reproduce prices across a large set of…
The document frames a credit risk validation problem under the Basel framework: assess the discriminatory power and calibration of rating classes when predicted probabilities of default are compared with portfolio outcomes. It highlights two difficult cases:…
The document identifies the difference between a Treasury yield and an OIS swap rate as a swap spread. It addresses why a Treasury yield can sit above the corresponding OIS rate, despite Treasuries being backed by the US government and OIS being based on an…
The document explains how cash flows on a total return swap (TRS) are calculated and checked when the reference asset remains with a counterparty. A TRS exchanges the asset’s total return, such as price changes and dividends, for a fixed or floating…
The document explains the cash flows of a resettable EUR/USD cross-currency basis swap. It corrects a worked example’s direction of the initial currency exchange and basis spread, then describes how periodic notional resets affect interest and principal…
The document considers pricing an exotic interest-rate option when the individual rate distributions are modeled with calibrated SABR marginals and their dependence is represented by a Gaussian copula. It expresses the option value as the pricing-measure…
A swap spread trade pairs a cash bond with an interest rate swap of a matching maturity. The answer describes a convention for a long spread position: hold the bond long and pay fixed in the swap. It notes that traders commonly size the two legs to have…
The document clarifies what it means to complete pricing by integrating a modeled future swap rate. The target is not to integrate the rate merely to recover its current value, which follows from its martingale property under the swap measure. Instead, the…
The document explains how to choose a discount curve for Black–Scholes option valuation and how to turn quoted market rates into continuously compounded rates for different maturities. It describes building a money-market curve from short-term interbank…
The document describes approaches to calculating the discount margin of a floating-rate bond with QuantLib. The initial method builds a spreaded forward curve whose spread is controlled by an observable quote, then uses a one-dimensional numerical solver to…
The document compares an exact relationship between real, nominal, and inflation rates with the familiar approximation that the real rate equals the nominal rate minus inflation. It asks how these formulas relate to a bond valuation example involving a real…
The answers map fixed-income reading choices to different levels and goals. For an accessible treatment that connects theory with trading practice, they recommend Bruce Tuckman’s Fixed Income Securities; Pietro Veronesi’s text offers broader valuation and…
The document addresses how to obtain daily bond total returns in Bloomberg, where total return includes price movement and coupon income. It notes that the equity field used as an example has no direct bond counterpart in the described workflow. The…
The document raises a fixed income valuation question about replacing term IBOR benchmarks with overnight rates derived from collateralized transactions. It points out that overnight benchmarks provide a single rate, while the former IBOR settings included…
The document explains why short-term bond yields can rise even when investors shift toward shorter maturities. Its answers describe the short end of the yield curve as closely linked to central bank policy: rate increases and expectations of future increases…
The document sets up a credit-loss example in which each loan defaults independently with a stated one-year Bernoulli probability. It models the number of defaults across a portfolio with a binomial distribution and expresses an upper-tail quantile condition…
The document raises a fixed-income curve-construction question: whether zero-coupon bonds priced above par should be excluded when building a zero-coupon curve. It notes that textbook bootstrapping examples often use below-par bonds, which can make above-par…
This question asks whether otherwise identical derivative payoffs should have the same value when paid in different currencies, given a fixed USD SOFR collateral agreement. It compares a fixed sterling payment with payments converted at the future GBP/USD or…