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 asks how to validate a modified Vasicek short-rate model in which both the drift and volatility depend on the current rate. Since this specification has no closed-form solution, the answer recommends using an Euler approximation to generate an…
The document explains why Hull–White interest-rate model calibration often fixes mean reversion while fitting volatility. With mean reversion held constant and volatility represented as a stepwise or piecewise-linear function, volatility can be bootstrapped…
The exchange answers whether interest rate models can incorporate external variables such as economic measures or equity volatility. It identifies macro-finance models as the relevant family, extending interest-rate analysis beyond models driven only by…
The document addresses which interest rate to use when pricing a long-dated European option on a USD stock with Black–Scholes. It recommends using a risk-free rate swap curve, such as the USD SOFR curve, rather than choosing a Treasury yield or the overnight…
The document distinguishes two ways of describing profit and loss on a receive-fixed interest rate swap. The first estimates accrual over a holding period by comparing the fixed coupon with the floating rates realized during that period. It describes the…
The document describes two ways differences in tax treatment can affect investment decisions and prices. In the German dividend example, domestic shareholders may receive a tax credit that foreign or tax-exempt holders cannot use. The cited research reports…
The document asks how to combine two loans with different principal amounts and interest rates when both have the same repayment term. A weighted average of the annual rates produces a monthly installment slightly below the sum of the installments calculated…
The document examines how to value interest tax shields when a loan balance declines through repayments. It contrasts two proposed shortcuts: applying a geometric series to a shrinking balance, and treating the shield as a growing perpetuity. An answer…
The document explains an integral involving the expected indicator that a credit-event stopping time occurs by a horizon. It interprets the expression as accumulating default probability over time and connects the idea to Credit Valuation Adjustment (CVA),…
The post concerns Monte Carlo pricing of a zero-coupon bond under the Hull–White short-rate model. Its central clarification is that the questioned volatility-related term is deterministic, because it is derived from the initial yield curve, so it does not…
The discussion explains how to mark a USDJPY forward before maturity. For a position that receives dollars and pays yen at a contracted strike, the offsetting transaction uses the current forward rate for the remaining term, rather than spot. That…
The document describes a government-bond curve fit that minimizes squared bond-price errors while imposing a monotonicity condition on discount factors. This price-focused fit can produce a pronounced hump. It then presents a regularized objective combining…
This discussion examines how accrued interest relates to clean and dirty bond prices. The question argues that the full price reflects discounted future cash flows and that accrued interest is a convention used to remove the coupon-date drop from quoted…
The document explains how to think about interest-rate and credit-spread risk in a credit default swap. Although CDS contracts are commonly quoted by spread, traded contracts may include a standardized running coupon and an upfront payment. To estimate…
The document raises practical questions about calculating and annualizing a strategy’s Sharpe ratio when interest rates are no longer near zero. It contrasts a simple mean-profit-and-volatility calculation with approaches that subtract a risk-free return,…
The document explains why a put option on an underlying that cannot fall below zero cannot be worth more than its strike. At the lowest possible underlying value, the put payoff reaches the strike; because the option’s value is based on possible discounted…
The document explains which parts of a one-factor Hull–White interest-rate model can be inferred from a market zero curve. The curve determines the time-dependent drift adjustment through its instantaneous forward rates, while mean reversion and volatility…
The document clarifies that daily inflation breakeven curves represent market-implied forward inflation expectations, rather than observed inflation such as consumer price index readings. It explains that these curves are derived from bond or inflation swap…
The document poses a credit-derivatives question: with different hazard rates for two entities, how does correlation affect the price of a contract paying if entity A defaults before entity B? It offers an intuition that perfect positive correlation may…
The discussion explains how market swap rates can help construct a yield or discount curve. In a simple single-curve illustration, a par swap rate implies that the present value of fixed coupons and principal matches par; known shorter-maturity zero rates…
The document asks why six-month carry on a fixed-floating interest rate swap is divided by DV01 in a cited market-research calculation. The questioner expects carry to be the difference between the fixed and floating legs and is unsure why a risk sensitivity…
The document compares two ways to describe carry on a sovereign bond: the difference between its yield and repo financing rate, and the difference between a forward bond yield and its current yield. A five-year, par bond example produces different figures…
The document clarifies why a semiannual bond schedule can place payments on recurring calendar dates even when adjacent periods do not contain exactly 180 actual days. In many markets, the coupon amount is set as the annual coupon rate divided by the stated…
The document discusses how to infer caplet volatilities from normal volatility quotes for caps on compounded, backward-looking overnight rates. It distinguishes an expiry adjustment used when transferring assumptions from forward-looking LIBOR caplets—where…