USGG10Y and similar Treasury tenor series are described as rolling yields tied to the current on-the-run security. For the ten-year series, the tracked note changes when a newly issued ten-year Treasury becomes the on-the-run issue. The series therefore…
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The document presents a proposed valuation expression for a swaption that gives its holder the right to enter an equity swap as a fixed-rate payer and equity receiver. It defines the swap rate from the discount factors for the swap's payment dates, then…
Inflation delta measures how a derivative’s value changes when inflation rates move. In an inflation derivatives portfolio, it is commonly expressed as sensitivity to a one-basis-point shift in the zero-coupon inflation rate at a given maturity. This frames…
The document summarizes concerns about using the Gaussian copula to price credit derivatives. It highlights that the model does not represent fat-tailed outcomes well, is static and therefore cannot readily price forward-starting tranches, and may require…
The document outlines ways to hedge the exchange-rate exposure of a bond portfolio whose cash flows are received in a foreign currency. The hedge is intended to gain value when that currency weakens against the investor’s base currency, offsetting the…
The document compares positive and negative bond convexity from an investor’s perspective. Positive convexity generally means price gains accelerate more as yields fall than price losses accelerate when yields rise. The answer therefore favors greater…
The document addresses how to schedule coupon payments when a bond’s maturity does not align with its regular payment interval. Its practical rule is to count backward from maturity: place the final coupon at maturity, then step back by the stated coupon…
The document addresses whether futures-versus-forward convexity adjustments require a perfect correlation between a short rate and a forward rate. The question describes a possible mismatch: gains on a Eurodollar futures position might coincide with rising…
The note explains that a 1x4 forward rate agreement locks in a three-month LIBOR borrowing or lending rate beginning one month ahead. Its rate is determined by the relevant discount factors or LIBOR curve points at one and four months, rather than by simply…
The discussion gives an economic interpretation of the Merton model relation between equity volatility and asset volatility: equity’s typical value change reflects the asset value change scaled by the sensitivity of equity to assets. Since the model treats…
The discussion considers how to obtain accurate quantiles for the Normal Inverse Gaussian (NIG) distribution, used here to model drivers of interest rate implied volatility risk. The questioner values the distribution’s parsimony and closure under…
This discussion explains why Graham’s warning about preferred shares does not conflict with the claim that preferred shareholders rank ahead of common shareholders. It distinguishes dividend conditions during a company’s operations from the order of claims…
The document investigates why a QuantLib piecewise yield-curve example produces zero rates different from those shown in its teaching slides. The reported output from the copied code is substantially lower than the slide values, despite using the same…
The document discusses market factors for mapping the risk of Brazilian commodity swaps exposed to commodity forwards, BRL interest rates, and the IPCA inflation index. It outlines common Brazilian curve proxies: DI futures for the nominal swap curve and…
The document defines a bond convenience yield as a noncash benefit of holding a bond, reflected in a lower yield than comparable bonds. It outlines an empirical comparison of eurozone government bonds issued in a shared currency and subject to the same…
The document derives a pricing equation for an option whose underlying price, volatility, and short rate all follow stochastic processes with correlated Brownian shocks. It first transforms the asset price to its logarithm, then represents the correlated…
The document examines whether a Treasury futures basis trade can earn more than the implied repo minus the bond’s actual repo financing cost. It proposes adding an overnight indexed swap hedge, with the answer correcting the hedge direction: pay fixed and…
The document asks whether a pure discount bond has an analytical price when its risk-neutral short rate follows a geometric Brownian motion. It expresses the bond price as the expected exponential of the accumulated short rate and observes that the rate at a…
The document compares overnight indexed swaps (OIS) with conventional interest rate swaps. Both exchange fixed and floating payments, but the floating leg is constructed differently. A conventional swap generally uses a single term-rate fixing for each…
The document explains why dependence between defaults matters differently across credit products. For a linear portfolio such as a CDS index, the answer says default correlation does not affect the portfolio's payoff in the same way it does for structures…
The document outlines ways to allocate swaption bid-offer liquidity costs across SABR parameters. With beta held fixed, alpha represents the at-the-money volatility level, nu captures smile curvature, and rho captures skew. First estimate how the option…
Credit ratings from agencies can be ranked, but assigning numerical scores does not make the gaps between rating levels quantitatively equal. The document explains that ratings are ordinal: their order is meaningful, while the distance between adjacent…
The document distinguishes two different charts that are often both described using contango. A futures curve at a single point in time compares prices across delivery dates: contango describes deferred contracts priced above nearby ones, while backwardation…
The document examines an algebraic result in which substituting the levered cost of equity into the weighted average cost of capital formula cancels the explicit cost of debt term. The accepted answer says this conclusion follows from the stated assumptions…