The note considers whether a more complex SABR Libor Market Model offers an advantage over a simpler SABR model for pricing and hedging plain vanilla interest rate options. Its central point is that if the LMM is calibrated to the same volatility smile…
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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.
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5,701 documents
The document describes an effort to reproduce parameter estimates from continuous-time stochastic models of US inflation. It lists reported estimates for log-normal models with constant, local, and mean-reverting Vasicek drift, using historical CPI data and…
The document explains how issuer-level CDS contracts relate to the bonds and loans underlying an issuer’s credit risk. A CDS is not tied exclusively to one bond: its terms identify one or more reference obligations, while the contract generally covers a…
The document examines how to calculate the implied repo rate for a Treasury futures contract using its cheapest-to-deliver bond. The question applies a financing return formula to the futures invoice value and the bond purchase price, including accrued…
The document addresses whether a flat rate must be constructed from a normal interest-rate term structure to use Black–Scholes for a European option. The answer explains that the relevant discounting rate for an option expiring at time T is the zero-coupon…
The discussion distinguishes margin approaches for uncleared over-the-counter derivatives from those used by central counterparties. It identifies ISDA’s Standard Initial Margin Model (SIMM) as a common methodology for calculating initial margin on uncleared…
The discussion asks whether a determinant such as the ratio of fixed assets to total assets can serve as a measure of bank liquidity risk when studying bank performance. The answer cautions against treating an explanatory proxy as the risk itself. It argues…
The document explains why a distressed bond’s market price is not captured by simply discounting its promised payments at a risk-free rate or adding a credit spread. A more complete valuation separates coupon and principal cash flows received if the issuer…
The discussion addresses the futures–forward price difference when interest rates and the underlying price move together. It attributes the difference to daily futures settlement: gains and losses arrive over time and can be reinvested or financed at rates…
The document asks how to translate a Matlab yield curve bootstrap into Python for multiple currencies using three-month futures. An answer proposes QuantLib, outlining a workflow that sets curve dates and market quotes, applies a time-dependent convexity…
The discussion compares a payer forward swap beginning in five years and lasting five years with a position that pays fixed on a ten-year swap and receives fixed on a five-year swap. It distinguishes exposure to an outright move in the forward rate from a…
The document describes the Basel market-risk expected shortfall calculation that adjusts a base-horizon ES for risk factors with longer liquidity horizons. It defines ES on the full portfolio and on subsets where shorter-horizon factors are frozen, then…
The document compares hedging a future foreign-currency receipt with a forward contract against creating a similar exposure through dollar borrowing, spot conversion, and euro investment. Under covered interest parity, it gives the forward-rate relationship…
The note clarifies how to interpret the euro short-term rate (€STR) when estimating interest on a single overnight loan. The quoted rate is expressed as an annual rate using an Actual/360 day-count convention. Under that convention, the overnight interest…
The document clarifies the relationship between a bond's beta, its volatility, and its correlation with the market portfolio. The question derives debt beta from expected debt and market returns, then uses the regression-beta identity to infer debt…
The document discusses which volatility convention to use when deriving forward volatilities from cap prices. Its central point is that the appropriate model depends on the currency and rate environment. For currencies such as EUR or CHF, negative rates and…
The document addresses why a bond’s G spread, measured against a government curve, can be greater than its Z spread, measured against a swap curve. Its main explanation is that the spread comparison depends on the underlying base curves, not only on…
The document explains why a quoted annual interest rate is divided by the number of compounding periods per year. The annual quote is a convention; the rate applied at each period is the quoted rate divided by that frequency. Applying this periodic rate over…
The document addresses a QuantLib error raised while constructing a EUR yield curve with futures rate helpers. The reported expiry, December 19, 2016, is rejected as an invalid IMM date even though the instrument is described as a Euribor future. The…
The document reviews risk-neutral valuation in a binomial model with constant or adapted, time-varying interest rates. It describes valuing a payoff by taking its conditional expectation under the risk-neutral measure and discounting by the relevant sequence…
The answer distinguishes dealer-to-dealer (D2D) markets from dealer-to-client (D2C) markets to explain why some swap order books show indicative rather than executable prices. In D2D markets, the answer says executable broker systems or voice prices are…
The document examines a bootstrap calculation for a six-month continuously compounded zero rate using bond prices, coupon cash flows, and a one-year zero rate. Its central lesson is that a shorter-maturity spot rate can be higher than a longer-maturity rate;…
The document raises the problem of selecting a risk-free rate when valuing historical option data. It notes that rates such as Treasury or constant-maturity yields, OIS, SOFR, LIBOR, and policy rates have all been suggested, and asks which benchmark fits…
This troubleshooting exchange concerns constructing an interest-rate cap in QuantLib C++. The example builds a floating leg from an Ibor index and attempts to create a cap, but runtime initialization fails because the leg has no notional. The author notes…