What it means
Every bond has a face value, the fixed amount the issuer repays on the maturity date. If you buy that bond from another investor for less than its face value, you have bought it at a market discount, and the discount is simply the difference between what you paid and what you will be repaid.
That difference is genuine economic income, because you are certain to receive more than you handed over. Accrued market discount is the mechanism that spreads this income across the months and years you hold the bond, so that a slice of it is treated as earned each day rather than all at once.
The reason anyone cares is that the two possible treatments are taxed differently. Treated as accrued market discount, the income is normally reported as ordinary interest-type income; treated as a capital gain it might attract a lower rate, so the rules are written to stop investors turning interest into a more lightly taxed gain.
There are two accepted ways to work out how much has accrued. Straight-line, or ratable, accrual divides the discount evenly across the days from purchase to maturity, which is easy to compute and easy to explain to an auditor.
Constant yield accrual reflects compounding and therefore recognises slightly less income in the early years and more later on. One nuance trips people up constantly: market discount is not the same as original issue discount.
Original issue discount is created by the issuer when the bond is first sold below face value, while market discount appears later in the secondary market, usually because interest rates rose or the issuer's credit weakened after issue. A second nuance is size.
Tax rules include a de minimis threshold, a small-discount floor below which the discount can be ignored, and that threshold depends on how many years remain to maturity. The threshold is set by the tax authority, so it should be checked rather than assumed.
In practice
Real-world examples.
Example
A manufacturing group's treasury team buys a bond with a face value of $500,000 for $470,000 because market interest rates rose after the bond was issued. Each year the finance team accrues part of the $30,000 discount as income, so by the time the full $500,000 arrives at maturity most of the gain has already been reported.
Example
A retired engineer holds a discounted bond in a brokerage account and is surprised when the year-end tax statement shows accrued market discount as ordinary income. His accountant explains that the gap between the $47,000 he paid and the $50,000 face value is interest in substance, even though it arrives as a single repayment.
Example
A family office compares two bonds bought at similar discounts and elects constant yield accrual on both. The election reports less income in the first two years, which suits the owners' tax planning, and the office then applies the same method consistently to every discounted bond it buys.
Formula
Calculation
Market Discount = Face Value - Purchase Price
Accrued Market Discount (straight-line) = Market Discount x (Days Held / Total Days from Purchase to Maturity)
Suppose you buy a corporate bond with a face value of $100,000 for $94,000, with exactly 2,000 days left until it matures.
Market Discount = $100,000 - $94,000 = $6,000
Days held by the end of your tax year = 500
Accrued Market Discount = $6,000 x (500 / 2,000) = $6,000 x 0.25 = $1,500
So $1,500 of the $6,000 is treated as income earned in that first period, and the remaining $4,500 accrues over the remaining 1,500 days.Case study
Seen in the real world.
This is an illustrative, entirely fictional example. Brightkeel Logistics, an invented regional freight company, held $2,000,000 of spare cash and decided to buy bonds rather than leave it in a low-paying deposit account. Its finance manager bought bonds with a combined face value of $2,120,000 for $2,000,000, pleased to have locked in a $120,000 gain on top of the coupons.
At year end the auditors asked how the discount was being reported. The finance manager had assumed the $120,000 would appear as a gain when the bonds matured in four years, and had recorded nothing in the meantime. The auditors explained that the discount accrued over the holding period, which meant roughly $30,000 of income belonged in the current year, raising taxable profit and the tax bill with it.
Brightkeel rebuilt its bond schedule with an accrual column for each holding, agreed a single accrual method with its advisers and applied it to every new purchase. The total income never changed; only the timing did, and knowing the timing in advance let the company plan its tax payments instead of being surprised by them.
Watch out
Common mistakes.
- Treating the whole discount as a capital gain realised at maturity, when the rules normally require it to be reported as ordinary interest-type income as it accrues.
- Confusing market discount with original issue discount, which is created by the issuer at the moment the bond is first sold rather than by later market movements.
- Assuming an early sale avoids the accrual, when in fact the amount accrued up to the sale date still has to be reported.
Questions
People also ask.
How is accrued market discount different from accrued interest?
Accrued interest is coupon income earned but not yet paid, while accrued market discount is the gradual recognition of the gap between your purchase price and the face value.
Does a very small discount always have to be accrued?
No, there is a de minimis threshold below which a small discount can be ignored, and the threshold depends on the years remaining to maturity.
Which accrual method should a business choose?
Straight-line is simpler to compute and to audit, constant yield reports less income in the early years, and the sensible approach is to choose once and apply it consistently.
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