The document describes a portfolio allocation problem for a composite of fixed-income portfolios that share a benchmark and hold the same corporation's bonds. Although each portfolio can have a target absolute or benchmark-relative position in the issuer,…
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The document discusses how risks not included in a VaR model, such as tenor basis, cross-currency basis, and OIS-Libor spreads, are treated alongside a historical simulation VaR. The question asks whether these risks may be combined with the base VaR using…
The document explains why the quadratic covariation between a deterministic bond price and a continuous stochastic stock price is zero. It considers a bond evolving deterministically and a stock following a diffusion, then uses the partition-sum definition…
The document considers how to relate sentiment derived from text analysis to a firm's credit default swap spreads. The question is whether to use par spreads or conventional spreads in a regression, and it notes that both may be quoted in basis points or…
The note explains why a Treasury bill’s quoted discount rate does not reproduce its market price when inserted into a continuous-compounding formula. The displayed bill price is generated under a quote convention based on a simple discount calculation, while…
The document explains practical ways to hedge a portfolio of bonds with different maturities against rising interest rates. A basic method groups holdings into maturity or duration buckets, totals each bucket’s exposure, and offsets it with Treasury bonds of…
The document asks whether combining multiple valuation measures, such as earnings multiples and dividend-discount estimates, can help time broad equity markets or forecast stock returns relative to fixed income. It also raises the possibility of combining…
Fixed-income securities can be quoted in several ways, including yield, price, or spread over a Treasury benchmark, and the convention may vary by bond, time, and data source. Investment-grade bonds are generally quoted by yield and high-yield bonds by…
The document compares paying a purchase price in equal, interest-free monthly installments with paying a discounted amount upfront while investing the full price at a monthly compound rate. It derives the account balance after the final installment by…
The document asks which risk-free rate to use when simulating a stock under a risk-neutral geometric Brownian motion, given a term structure derived from a Vasicek interest-rate model. It contrasts using one constant rate with using a rate that changes over…
The document asks how bond immunization offsets interest rate changes over an investment horizon. It describes the intuitive mechanism: when rates rise, coupon payments can be reinvested at higher rates; when rates fall, the bond’s price may rise enough to…
The document presents Black-76 formulas for European payer and receiver swaptions, scaling the option payoff by the present value of the underlying swap’s fixed-leg annuity. It defines the forward swap rate, strike, expiry, volatility, compounding frequency,…
The document explains the value of a receive-floating, pay-fixed interest rate swap by separating it into floating and fixed legs. The fixed leg is a sequence of discounted coupon payments, while the floating leg can be replicated by buying a zero-coupon…
The document asks how to bootstrap zero rates from Australian bank bill swap rates and interest rate swap quotes, including how coupon frequency conventions affect the bootstrap and whether the transition from short to longer maturities requires special…
The document asks why ISDA uses different assumed recovery rates for senior unsecured, subordinated, and emerging-market debt in credit default swap conventions. The answers clarify that these standardized rates are conventions used in quoting and pricing…
The document discusses whether USD LIBOR, derived from panel banks’ unsecured interbank lending rates in London, can serve as a measure of short-term US interest rates. It gives two perspectives: the international makeup of contributing banks supports its…
The document distinguishes Brazilian domestic debt indexed to the dollar from debt that provides investors with actual USD. For the historical NTN series D, it describes a USD notional with a fixed coupon: investors paid BRL at the spot exchange rate, and…
The document explains that a floating-rate note’s yield to maturity is an internal rate of return based on its coupons and principal repayment. Because future coupon amounts have not yet been set, the calculated yield depends on the method used to project…
The document asks how bond ETF managers turn coupon payments from underlying holdings into the fund’s monthly distributions, including whether the timing of coupon receipts determines the payment month. The answer cites BlackRock’s explanation of the general…
The document explains why co-terminal European swaptions are often used to calibrate the Hull–White interest-rate model when the intended application is pricing Bermudan swaptions. Each Bermudan exercise date is associated with a European swaption whose swap…
The document asks whether interest rate swap returns can be decomposed in a manner similar to bond attribution. The response recommends organizing the analysis around risk factors that explain changes in value. For yield curves, it highlights movements in…
The document describes a QuantLib curve-building problem involving overnight index futures. Bootstrapping fails because a required historical fixing is missing; adding a fixing for a Mexican public holiday then triggers an invalid-fixing error. The example…
The document distinguishes two corporate bond spread measures by the benchmark curves used to calculate them. A G-spread compares a bond’s yield with a government Treasury curve, while an I-spread compares it with a swap curve. The question asks what extra…
The document asks how to price an option on a long-duration coupon bond whose payoff depends on the bond’s value at option maturity relative to its initial value. It proposes simulating short-rate paths with a model such as Hull–White, deriving discount…