The premium is measured from basis, and sometimes to the call date. IRC 171(b)(1) determines the amount of bond premium "with reference to the amount of the basis (for determining loss on sale or exchange) of such bond" and, for a taxable bond, "with reference to the amount payable on maturity (or if it results in a smaller amortizable bond premium attributable to the period before the call date, with reference to the amount payable on the earlier call date)." So a premium callable bond may have to be amortized to its call date, which spreads the same premium over fewer years. The same subsection excludes the value of a conversion feature: "In no case shall the amount of bond premium on a convertible bond include any amount attributable to the conversion features of the bond." Because premium is measured from basis rather than from the issue price, IRC 171 applies whether the bond was bought at issue or in the secondary market, which is one way it differs from discount, where the tax law splits original issue discount from market discount by when the discount arose.
Taxable bonds: an election that offsets interest. IRC 171(a)(1) allows the amortizable premium on a taxable bond "as a deduction," but 171(c)(1) makes the whole section apply to taxable bonds "only if the taxpayer has so elected," and 171(e) changes the form the deduction takes: "in lieu of any deduction under subsection (a), the amount of any premium so allocated to any interest payment shall be applied against (and operate to reduce) the amount of such interest payment." The premium is therefore an offset against the coupon, not a line on Schedule A. Publication 550 gives the reporting: list the bond's interest on Schedule B, subtotal, then enter the year's amortization labeled "ABP Adjustment" and subtract it. Only where the premium allocable to a period exceeds that period's interest does any part become a deduction, and even then, per Regulation 1.171-2(a)(4), it is limited to the interest previously included on the bond, with the excess carried forward.
The election is one decision for every taxable bond. IRC 171(c)(2) provides that an election "shall also apply to all such bonds held by the taxpayer at the beginning of the first taxable year to which the election applies and to all such bonds thereafter acquired by him and shall be binding for all subsequent taxable years," revocable only with the Secretary's permission. Regulation 1.171-4(b) states it in one sentence: "The election under this section applies to all taxable bonds held during or after the taxable year for which the election is made." The election is made by simply reporting the amortization on a timely return for the first year it is to apply, with a statement attached. A holder who elects late cannot recover amortization that would have applied in earlier years.
Tax-exempt bonds: mandatory, and no deduction. IRC 171(a)(2) provides that for a bond whose interest is excludable from gross income "no deduction shall be allowed for the amortizable bond premium for the taxable year," and yet the premium must still be amortized. Publication 550 explains what that means: "If the bond yields tax-exempt interest, you must amortize the premium. This amortized amount is not deductible in determining taxable income. However, each year, you must reduce your basis in the bond (and tax-exempt interest otherwise reportable on your tax return) by the amortization for the year." The logic is that the premium is the price of receiving above-market exempt interest, so it is recovered by shrinking the exempt interest, and a holder cannot instead carry the full basis to maturity and claim a capital loss.
Basis falls as premium is amortized. IRC 171(a)(3) points to 1016(a)(5), which reduces basis by the premium amortized on a taxable bond (or applied to reduce interest under 171(e)) and by the premium disallowed as a deduction on a tax-exempt bond. At maturity, a fully amortized bond has a basis equal to its face value, and repayment produces no gain or loss.
The method is a constant yield. IRC 171(b)(3) requires the amortization to be computed "on the basis of the taxpayer's yield to maturity," using the holder's basis and compounding at the close of each accrual period as defined for original issue discount. Regulation 1.171-2 spells out the three steps: find the yield that discounts the remaining payments to the purchase price, fix the accrual periods, and treat as premium for each period the excess of the period's interest over the adjusted acquisition price multiplied by the yield. Early periods therefore amortize less premium and later periods more, because the base shrinks.
The broker statement assumes you elected. The Instructions for Form 1099-INT direct a payer to report the year's premium amortization in box 11 (taxable bonds), box 12 (Treasury obligations) or box 13 (tax-exempt bonds) for a covered security acquired at a premium, and for the taxable boxes to do so "unless you were notified in writing that the holder did not want to amortize bond premium under section 171." A holder of taxable bonds who has not made the election and does not want to therefore has to tell the broker in writing; otherwise the statement shows an amortization figure the holder's return will not match. A related but different concept, acquisition premium, arises when a buyer pays more than the adjusted issue price of a bond that still has original issue discount; it reduces the OID reported rather than the coupon, and the original issue discount page covers it.