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In finance, the dirty price is the price of a bond including any interest that has accrued since issue of the most recent coupon payment. This is to be compared with the clean price, which is the price of a bond excluding the accrued interest. Dirty Price = Clean Price + Accrued Interest
The price of a bond which includes this accrued interest is known as the "dirty price" (or "full price" or "all in price" or "Cash price"). The "clean price" is the price excluding any interest that has accrued. Clean prices are generally more stable over time than dirty prices.
Brokers quote the dirty price, found by adding the clean price and accrued interest since that day. If the bond's last coupon payment was made on 1 June, on 1 September, the dirty price is: Clean Price + Accrued Interest (where accrued interest is the interest accumulated from 1 June to 31 August on the bond according to its coupon rate.)
Here’s an example of how much a Series EE U.S. Savings bond purchased in October 1994 would be worth today. EE bonds are guaranteed to double in value after 20 years. Denomination
Here Face value is the face value of the bond, and Clean price is the clean price of the bond (i.e. present value of the bond with accrued interest subtracted). Formula for adjusted current yield [ edit ]
The current yield, interest yield, income yield, flat yield, market yield, mark to market yield or running yield is a financial term used in reference to bonds and other fixed-interest securities such as gilts. It is the ratio of the annual interest payment and the bond's price:
Binomial Lattice for equity, with CRR formulae Tree for an 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 quantitative finance , a lattice model [ 1 ] is a numerical approach to the valuation of derivatives in situations requiring a discrete time model.
The Z-spread of a bond is the number of basis points (bp, or 0.01%) that one needs to add to the Treasury yield curve (or technically to Treasury forward rates) so that the Net present value of the bond cash flows (using the adjusted yield curve) equals the market price of the bond (including accrued interest). The spread is calculated iteratively.