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What Is Dirty Price?
A dirty price is a bond quote that includes the bond’s cost and the accrued interest from the coupon rate. Bond quotes between coupon payments include accrued interest up to the quote date.
Simply put, a dirty bond price has accrued interest, but a clean price does not.
The dirty price is more commonly used in Europe, while the clean price is often quoted in the United States. Accrued interest may cause the actual cost of a bond to be higher than its quoted price, impacting investment decisions. Understanding the difference between dirty and clean prices is crucial for investors, as it affects the purchase price quoted by brokers.
Key Takeaways
- A dirty price comprises both the bond’s price and the accrued interest, which fluctuates daily as interest accumulates between coupon payments until reset on payment dates.
- In contrast to the United States, European bond markets commonly use dirty prices, reflecting the full cost including accrued interest, whereas U.S. markets often quote clean prices excluding interest.
- The distinction between dirty and clean prices influences buying decisions as the dirty price represents the effective cost of a bond, which can surpass the quoted clean price due to included accrued interest.
- Understanding whether a bond’s value is presented as a clean or dirty price is crucial for investors to accurately gauge the real-time value and cost impact of interest accrual.
How Dirty Prices Are Calculated and Why They Matter
Accrued interest accumulates between coupon payment dates for a coupon bond. Accrued interest rises daily as the next coupon payment date gets closer. On the day of the coupon payment, the clean price and dirty price are equal since there is no accrued interest until the next market day.
The dirty price is sometimes called the price plus accrued. In the United States, the clean price is quoted more often, while in Europe, the dirty price is the standard. Sellers use the dirty price to find the bond’s true cost, factoring in accrued interest since the last coupon payment.
The sale date reflects the clean price plus the daily calculated accrued interest. Buyers pay more than the quoted price because it includes accrued interest and the broker’s commission.
The Role of Accrued Interest in Bond Pricing
The interest increases at a steady rate on a bond, and the calculation of the earned amount happens each day. As a result, the dirty price will change daily until the payout, or coupon payment, date. Once the payout is complete and the accrued interest resets to zero, the dirty and clean prices are the same.
In the case of bonds offering semiannual payments, the dirty price would rise slightly higher every day over the course of six months. Once the six-month mark arrives, and the coupon payment is made, the accrued interest resets to zero to begin the cycle again. The dirty-to-clean process continues until the bond reaches maturity.
Comparing Dirty and Clean Bond Prices
The dirty price is typically quoted between brokers and investors, but the clean price, or the price without accrued interest, is usually considered the published price. Newspapers and financial resources likely list the clean or flat bond price for tracking. Although the dirty price includes accrued interest, the clean price is often considered to be the value of the bond in the current market.
Practical Example: Dirty Price in Action
As an example, let’s say Apple Inc. issued a bond with a $1,000 face value, while $960 is the published price. The bond pays an interest rate—coupon rate—of 4% annually, and these payments are semiannual. As a result, investors would receive $20 every six months for holding the bond.
The price of $960 is the published price or the clean price. However, an investor looking to purchase the bond would receive a quote from a broker that includes the $960 plus any accrued interest. The broker would calculate the daily per diem interest that has accumulated. Let’s assume there’s no broker commission. Depending on the day the investor made the purchase, the accrued interest would vary.
So, if the investor bought the bond a day before the first coupon payment of $20 it results in $19 of accrued interest up to that date. The investor’s bond price would be $979, or $960 plus $19 in accrued interest.
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