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v. t. e. A zero-coupon bond (also discount bond or deep discount bond) is a bond in which the face value is repaid at the time of maturity. [ 1] Unlike regular bonds, it does not make periodic interest payments or have so-called coupons, hence the term zero-coupon bond. When the bond reaches maturity, its investor receives its par (or face) value.
In finance, bootstrapping is a method for constructing a (zero-coupon) fixed-income yield curve from the prices of a set of coupon-bearing products, e.g. bonds and swaps. [ 1 ] A bootstrapped curve , correspondingly, is one where the prices of the instruments used as an input to the curve, will be an exact output , when these same instruments ...
For example, if a zero-coupon bond with a $20,000 face value and a 20-year term pays 5.5% interest, the interest rate is knocked off the purchase price and the bond might sell for $7,000. In two ...
An affine term structure model is a financial model that relates zero-coupon bond prices (i.e. the discount curve) to a spot rate model. It is particularly useful for deriving the yield curve – the process of determining spot rate model inputs from observable bond market data. The affine class of term structure models implies the convenient ...
v. t. e. In finance, bond convexity is a measure of the non-linear relationship of bond prices to changes in interest rates, and is defined as the second derivative of the price of the bond with respect to interest rates ( duration is the first derivative). In general, the higher the duration, the more sensitive the bond price is to the change ...
The Heath–Jarrow–Morton ( HJM) framework is a general framework to model the evolution of interest rate curves – instantaneous forward rate curves in particular (as opposed to simple forward rates ). When the volatility and drift of the instantaneous forward rate are assumed to be deterministic, this is known as the Gaussian Heath ...
Short rate models are often classified as endogenous and exogenous. Endogenous short rate models are short rate models where the term structure of interest rates, or of zero-coupon bond prices (,), is an output of the model, so it is "inside the model" (endogenous) and is determined by the model parameters. Exogenous short rate models are ...
v. t. e. Bond valuation is the process by which an investor arrives at an estimate of the theoretical fair value, or intrinsic worth, of a bond. As with any security or capital investment, the theoretical fair value of a bond is the present value of the stream of cash flows it is expected to generate. Hence, the value of a bond is obtained by ...