What Is Flat Bond?

Flat bond is a term given to the price of a bond when it does not include any accrued interest. Accrued interest is the portion of a bond's coupon payment that the hol🍷der earns in between scheduled coupon payments.

A flat bond's price is referred to as its 澳洲幸运5官方开奖结果体彩网:clean price.

Understanding Flat Bonds

Some bonds pay interest to bondholders periodically, known as its coupon payment. When prices of interest-bearing instruments are quoted, they are either quoted at a full price or flat price to reflect those interest payments. A bond that is quoted with a flat price is referred to as a flat bond. A flat price does not include any accrued interest. Since accrued interest on a bond does not change the 澳洲幸运5官方开奖结果体彩网:yield-to-maturity (YTM), the flat bond price is typically quoted to avoid misleadin🦋g investors on the daily increase in the full price as a result of interes♔t accrued.

A full price, also known as a 澳洲幸运5官方开奖结果体彩网:dirty price, includes the 澳洲幸运5官方开奖结果体彩网:interest accrued owed to a bondholder since the last coupon🍌 payment and is considered in the price of the bond. When an investor sells a bond sometime between the last coupon payment and the next coupon payment, they do so with interest accrued.

For example, if interest payments onဣ a bond are scheduled for February 1 and August 1 every year until the bond matures, and the bondholder sells the bond on April 15, the bond will have accrued interest from February 1 to April 15. The seller gives up the interest from the time of the last coupon payment to the time until the bond 🌳is sold.

The price of a flat bond is calculated as:

• Flat price = full (dirty) price - accrued interest

Where:

• Accrued interest = coupon payment for the period * (time held after the last coupon payment or coupon period)

When to Quote Flat Bonds

There are three typical reasons that a bond would trade flat, that is, not have any accrued intꩵerest attached to it:

1. No interest is presently due on the bond according to the date of sale and terms of the bond's issue.
2. The bond is in default. Bonds that are in default are to be traded flat without calculation of accrued interest and with the delivery of the coupons which have not been paid by the issuers.
3. The bond 澳洲幸运5官方开奖结果体彩网:settlement date is the same date as the interest is paid and, therefore, no additional interest has accrued beyond the amount already paid out.

Note that the coupon period is the number of days between each coupon payment date. Corporate and 澳洲幸运5官方开奖结果体彩网:municipal bond issuers assume a 30-day month and a 360-day calendar to calculate the accrued interest on a bond. However, the accrued interest on 澳洲幸运5官方开奖结果体彩网:government bonds is ꧟usually determined on the basis of the actual calendar day from its date of issuance (called the actual/actual day count).

Example: Flat Bond Calculation

Say the 澳洲幸运5官方开奖结果体彩网:coupon rate on a $1,000 澳洲幸运5官方开奖结果体彩网:par value bond that pays interest semi-annually on February 1 and August 1 each year is 5%. The bondholder sells the bond on April 15 in 🦂the secondary market for a full price 𒆙of $995.

The steps to calculate the 🗹flat bond price are as follows:

1. Coupon payment per period = 5% ÷ 2 * $1,000 = $25
2. Stated coupon period—assume a 30-day month and a 360-day calendar. (Using our example, the coupon payment per period is 6 months * 30 days = 180 days.)
3. Number of days the bond was held after the last coupon payment before selling = 2.5 months * 30 days = 75 days
4. Accrued interest = $25 * (75 ÷180) = $10.42
5. Price of flat bond = $995 - $10.42 = $984.58