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For example, for small interest rate changes, the duration is the approximate percentage by which the value of the bond will fall for a 1% per annum increase in market interest rate. So the market price of a 17-year bond with a duration of 7 would fall about 7% if the market interest rate (or more precisely the corresponding force of interest ...
John Hull and Alan White, "One factor interest rate models and the valuation of interest rate derivative securities," Journal of Financial and Quantitative Analysis, Vol 28, No 2, (June 1993) pp. 235–254. John Hull and Alan White, "Pricing interest-rate derivative securities", The Review of Financial Studies, Vol 3, No. 4 (1990) pp. 573–592.
Lattice model (finance) Binomial Lattice for equity, with CRR formulae. Tree for an ( embedded) bond option returning the OAS (black vs red): the short rate is the top value; the development of the bond value shows pull-to-par clearly. In finance, a lattice model [1] is a technique applied to the valuation of derivatives, where a discrete time ...
The yield will match the coupon rate when a bond is issued and sold at par value. However, if an investor pays less than the par value, their return would be more significant since the coupon ...
Bond Pricing and the Term Structure of Interest Rates: A Discrete Time Approximation. Journal of Financial and Quantitative Analysis, 25:419-440. Heath, D., Jarrow, R. and Morton, A. (1991). Contingent Claims Valuation with a Random Evolution of Interest Rates Archived 2017-04-28 at the Wayback Machine. Review of Futures Markets, 9:54-76.
Interest rate cap and floor. In finance, an interest rate cap is a type of interest rate derivative in which the buyer receives payments at the end of each period in which the interest rate exceeds the agreed strike price. An example of a cap would be an agreement to receive a payment for each month the LIBOR rate exceeds 2.5%.
Tree returning the OAS (black vs red): the short rate is the top value; the development of the bond value shows pull-to-par clearly. A short-rate model, in the context of interest rate derivatives, is a mathematical model that describes the future evolution of interest rates by describing the future evolution of the short rate, usually written .
Likewise, when interest rates decrease, the value of existing bonds rises, since new issues pay a lower yield. This is the fundamental concept of bond market volatility—changes in bond prices are inverse to changes in interest rates. Fluctuating interest rates are part of a country's monetary policy and bond market volatility is a response to ...
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