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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 ...
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.
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
Examples of variable characteristics are: interest rates, location, date, and region of production. The sum total of the following characteristics is then included within the original price of the product during marketing. Variable pricing enables product prices to have a balance "between sales volume and income per unit sold". [32]
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.
That means that a price is quoted as, for instance, 99-30+, meaning 99 and 61/64 percent (or 30.5/32 percent) of the face value. As an example, "par the buck plus" means 100% plus 1/64 of 1% or 100.015625% of face value. Most European and Asian bond and futures prices are quoted in decimals so the "tick" size is 1/100 of 1%. [3]
In financial mathematics, the Ho-Lee model is a short-rate model widely used in the pricing of bond options, swaptions and other interest rate derivatives, and in modeling future interest rates. [1]: 381 It was developed in 1986 by Thomas Ho [2] and Sang Bin Lee. [3] Under this model, the short rate follows a normal process: