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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.)
When considering bond prices, higher coupon rates, par values or periods to maturity will have higher prices. However, if a bond has a higher YTM, the bond price will be lower. Bond Prices vs ...
The price you pay for a bond may be different from its face value, and will change over the life of the bond, depending on factors like the bond’s time to maturity and the interest rate environment.
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:
Using the Black model, the spot price in the formula is not simply the market price of the underlying bond, rather it is the forward bond price. This forward price is calculated by first subtracting the present value of the coupons between the valuation date (i.e. today) and the exercise date from today's dirty price , and then forward valuing ...
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