The note explains how a bond’s coupon rate and yield to maturity (YTM) relate to its market price. It values a ten-year bond by discounting its annual coupon payments and redemption value at a 4% yield. Since the 3% coupon is below that yield, the calculated…
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5,701 documents
The note describes an attempt to explain daily EUR swap yield-curve changes using three principal components, commonly interpreted as level, slope, and curvature moves. The author forms daily tenor changes, estimates a covariance matrix from a one-year…
The document asks whether a term-structure model can be built by specifying discounted zero-coupon bond prices as positive martingales, then defining a numeraire from the bond maturing at the current time. It explores whether that numeraire can be replicated…
This exchange discusses choosing market instruments to calibrate a one-factor Hull–White interest-rate model, including a trinomial-tree implementation. It recommends calibrating to either cap and floor volatilities or swaption volatilities, with the choice…
The document explains the distinction between an asset’s price process and its gain process in a funding and collateral framework. For an asset, the gain process combines price changes with dividends or other cash flows. The question concerns how this…
The document distinguishes changing an asset’s regulatory classification from transferring risk between banking and trading books. Redesignation means moving an asset from one book to the other. An internal risk transfer instead uses an internal trade to…
This note points readers to a finance and statistics reference whose hypothesis testing chapter works through several tests in market settings. Examples include testing a Poisson default rate for a risky bond portfolio, an exponential model for time between…
The note considers a basket of three credits with specified marginal default probabilities and a known copula for their joint default times. It asks how to express the event that the first name survives to time t while the other two default by t. The answer…
The document considers two ways to calculate DV01 for an interest rate swap when its first floating payment has already fixed. One method holds that stub payment constant under a curve shock; the other lets it move as part of the recalculation. The question…
The example compares an investment’s net present value for two discount rates. It initially discounts only the income received at the end, while subtracting both investments at their undiscounted amounts. That mixes cash flows from different dates and…
The discussion identifies sources for corporate credit default swap data, including a commercial pricing provider and a subscription service said to offer daily end-of-day prices and historical charts. It also gives a simplified pricing intuition: a CDS…
The document examines dealer profits from shorting when issued Treasury securities ahead of an auction and covering the position at the auction clearing yield. It asks why a stop through, where the auction yield is below the when issued yield, could mean a…
The document asks whether a stock or bond can be valued by forecasting future cash flows and discounting them at the risk-free rate. Its answer explains risk-neutral valuation through replication: a derivative can be priced when its payoff can be reproduced…
The discussion corrects a proposed callable-bond valuation method that estimates call probabilities by comparing simulated yields with the bond coupon and then averages prices across call dates. The response explains that the issuer’s call decision depends…
The document concerns the correction term used when constructing synthetic deposits for the short end of an interest-rate curve. The question describes applying a quadratic expression involving parameters alpha and beta and a time interval, but reports that…
The document presents two approaches to supplying rate and dividend inputs when constructing an implied volatility curve for SPX options. One approach estimates interest rates from put-call parity, incorporating the present value of known dividends for…
The document asks why an article says receiving OIS swap rates pushes swap rates lower, while paying them pushes rates higher. The response gives a basic supply-and-demand explanation: when market participants take positions that increase demand for one side…
The document considers why Moody’s Baa3 and S&P’s BBB− mark the lower edge of investment grade, and whether default risk changes sharply at that point. One reply directs readers to published default and rating-transition tables as evidence to examine.…
The document explains how to interpret a Treasury Inflation-Protected Security relative to a nominal Treasury with matching cash flows. The inflation adjustment and principal floor give the TIPS holder exposure that can be viewed conceptually as CPI call…
The answer describes converting observed bond yields and maturities into a zero-coupon discount curve. Coupon bonds have cash flows at different times, so their yields to maturity do not directly provide clean discount rates for each maturity. The proposed…
The discussion explains that funded and unfunded derivative are context-dependent terms. In one use, a funded derivative includes the principal investment and repayment flows as part of the derivative contract. A structured investment that pays an upfront…
The discussion considers how to build probability of default models when the available observations do not span a full economic cycle. It suggests separating the cycle into recovery, expansion, slowdown, and recession phases, then identifying which phases…
The document raises a portfolio risk question: how to use principal component analysis when positions depend on more than one correlated time series, such as UK and euro yield curves or several commodities. PCA on a single curve can summarize its major…
The document considers the deterministic rate equation in which the rate moves toward a long-run level at a speed set by a positive adjustment parameter. It asks whether the proposed exponential expression satisfies the differential equation and its initial…