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In finance, the clean price is the price of a bond excluding any interest accrued since bond's issuance and the most recent coupon payment. Comparatively, the dirty price is the price of a bond including the accrued interest. Therefore,
- Clean Price = Dirty Price − Accrued Interest
Clean prices are more stable over time than dirty prices. When clean prices change, it is for an economic reason such as a change in interest rates or the bond issuer's credit quality. Dirty prices change day to day depending on the date relative to the coupon payment dates, as well as economic reasons.
XYZ Ltd. issues a bond with a $1000 face value and a $980 published price, with a coupon rate of 5% paid semi-annually and a maturity date of five years. The annual coupon payment is 5% of $1000, or $50. The investor receives a $25 coupon payment every six months until the maturity date.
In this case, $980 is the clean price of the bond. The bond price quoted to investors is $980 plus the accrued interest. 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 the 1st of June to the 31st of August on the bond according to its coupon rate.)
The price changes continuously, as it depends on how many days have passed since the last coupon payment on the bond.
- Calculation of the clean price of a bond in a cash management bond repurchase operation, Bank of Canada. Retrieved 2015-11-10.
- Bonds clean price By My Banking Information
- Clean price By Investopedia
- Calculate clean and dirty price of a bond by Financetrain
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