The document asks how to build a spot curve in QuantLib when coupon bonds trade away from par. Its example combines deposit rate helpers with fixed rate bond helpers, supplying each bond’s market quote, face value, payment schedule, and coupon rate. QuantLib…
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The note explains how to locate generic US Treasury yield series in Bloomberg and obtain daily observations for selected maturities. It says the terminal’s generic yield indices are quoted as yields to maturity, so the historical last-price field can be…
The document asks whether Basel II sets a minimum probability of default for retail portfolios. The accepted answer does not verify the proposed retail threshold; instead, it points to an accord provision for corporate and bank exposures. For those exposure…
The note addresses callable bonds where the exercise decision precedes the call payment date. It derives a valuation method under which exercise is decided at the notice date by comparing zero with the conditional expected discounted payoff at the later…
The document derives how a Basel-style regulatory risk weight changes when a conservative probability of default is adjusted through Margin of Conservatism Category C. Its central point is that the conservative PD affects the risk weight directly and also…
The document presents Macaulay duration as the present-value-weighted average timing of a bond’s cash flows, measured in years. Each payment is weighted by its share of the bond’s present value, so larger or earlier-valued cash flows affect the measure more.…
The document explains why default and credit protection need to be understood at both the issuer and obligation level. A CDS names a reference entity and a reference obligation; a qualifying credit event and the obligation’s cross-default terms determine…
The explanation outlines a typical corporate bond offering from initial pricing guidance through the start of market trading. The book runner estimates a likely yield using comparable bonds and credit ratings, then proposes a coupon intended to place the new…
This note raises a consistency question about the BGM, or Libor Market, forward-rate model. It compares a forward rate written under its own pricing measure with a representation under another measure, where the drift changes but the diffusion is expressed…
The document clarifies what the tenor dates represent in the LIBOR market model. The modeled quantities are forward rates over intervals bounded by fixing and maturity dates. These are calendar dates, so the dates remain fixed as time advances; they do not…
Factor loadings describe how modeled risk factors contribute to a credit outcome, though the term can refer to different quantities in different model classes. In a Cox-style default framework, factors may influence a firm-specific process that declines…
The answer presents one account of how quantitative finance intersected with the 2008 crisis. It traces a chain from asset pooling and tranching to highly rated collateral, expanded repo borrowing, and increased reliance on short-term funding. Mortgage…
The document explains what a risk-neutral measure means in an interest rate model. It frames the key condition in terms of bond prices: when a zero-coupon bond is valued as the conditional expectation of its future payoff discounted by the short rate, its…
The document asks when a time integral of a Brownian stochastic integral can be rewritten by reversing the order of integration. Its example uses an exponential kernel over nested time intervals and proposes the resulting single stochastic integral with an…
The document explains a basic link between an interest rate swap rate and expected future LIBOR rates. A fixed swap rate can be understood as a weighted average of the forward LIBOR rates used across the swap’s payment periods. Because those forward rates…
The document discusses why a cross-currency swap paying euros and receiving dollars may have different credit valuation adjustment (CVA) from the reverse position. One explanation focuses on the final notional exchange: forward currency values, influenced by…
The document sketches a layered approach to pricing an American option on a bond futures contract. First, use a term-structure model to simulate yields or prices for all deliverable bonds across relevant dates. Short-rate models such as Vasicek or Hull–White…
The document describes a model combining a two-factor Gaussian short-rate process with an asset whose price follows a Black–Scholes-style stochastic differential equation. The two rate factors are mean reverting, and their Brownian drivers are specified as…
The document explains how to choose a risk-free interest rate when valuing options with different expiration dates. Because the rate discounts the option’s future payoff, the suggested input is the rate on a risk-free instrument, such as a Treasury security,…
The document considers why corporate credit spreads may tighten as interest rates rise, and whether that relationship changes with the economic backdrop. It contrasts rate increases associated with strong growth and inflation with stagflation, where weak…
The document discusses a quoted 50-year euro swap rate of -0.58% and asks how to interpret the unusually shaped long end of the swap curve. The question notes positive carry for paying fixed and suggests limited liquidity may be influencing long-tenor…
The document explains an asset swap spread as a measure of a Treasury bond’s relative performance against an interest rate swap of similar maturity. If the spread widens, the bond has underperformed the swap; if it narrows, the bond has outperformed.…
The document asks why swap rates recomputed from Bloomberg curve data do not exactly match the at-the-money strikes in a swaption volatility cube. It outlines two attempted checks: deriving swap rates from forward Libor rates implied by discount factors, and…
The document discusses how near-zero yields affect strategic asset allocation, especially for pension funds that use capital market assumptions and constrained mean-variance optimization. It notes that starting bond yields have historically helped forecast…