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The HJM framework originates from the work of David Heath, Robert A. Jarrow, and Andrew Morton in the late 1980s, especially Bond pricing and the term structure of interest rates: a new methodology (1987) – working paper, Cornell University, and Bond pricing and the term structure of interest rates: a new methodology (1989) – working paper ...
Duration is a linear measure of how the price of a bond changes in response to interest rate changes. It is approximately equal to the percentage change in price for a given change in yield, and may be thought of as the elasticity of the bond's price with respect to discount rates. For example, for small interest rate changes, the duration is ...
Bond Pricing Example; Term Value Par value 1,000.00 Total amount at settlement $985.50 Dirty price $985.50 Accrued interest $2.00 Market value less accrued interest
Tree-based bond option valuation: 0. Construct an interest-rate tree, which, as described in the text, will be consistent with the current term structure of interest rates. 1. Construct a corresponding tree of bond-prices, where the underlying bond is valued at each node by "backwards induction":
For example, for bond options [3] the underlying is a bond, but the source of uncertainty is the annualized interest rate (i.e. the short rate). Here, for each randomly generated yield curve we observe a different resultant bond price on the option's exercise date; this bond price is then the input for the determination of the option's payoff.
It refers to the practice of quoting bond prices in terms of a base point value, which is equal to 1/100 of 1% or 0.01%. For example, a bond with a price of 100 base points would have a price of 1%. Base point pricing is used as a standard unit of measurement in the bond market, as it allows for more precise and easier comparison of bond prices.
Floating rate notes (FRNs) are bonds that have a variable coupon, equal to a money market reference rate, like SOFR or federal funds rate, plus a quoted spread (also known as quoted margin). The spread is a rate that remains constant.
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.