The one-month lag, and why it is useful rather than an inconvenience. Section 1274(d)(1)(B) provides that "during each calendar month, the Secretary shall determine the Federal short-term rate, mid-term rate, and long-term rate which shall apply during the following calendar month." So the rate a transaction uses is published before the month in which it applies, and anyone papering a note has the number in hand ahead of the date they need it.
The lowest 3-month rule, which is the AFR's only genuine planning feature. For a sale or exchange, section 1274(d)(2) substitutes "the lowest 3-month rate," defined as "the lowest of the applicable federal rates in effect for any month in the 3-calendar-month period ending with the 1st calendar month in which there is a binding contract in writing for such sale or exchange." In a period of rising rates that lets an installment sale reach back up to two months for a better number. Note the scope precisely: the rule is written for a sale or exchange, and it is not a general permission to shop three months of rates for any loan.
Term is measured with options in it. Section 1274(d)(3) provides that in determining a debt instrument's term, "there shall be taken into account options to renew or extend." A five-year note with two five-year renewal options is not automatically a mid-term instrument, and getting the band wrong is the commonest way to use the wrong AFR while believing you used the right one. The boundaries themselves are also easy to state loosely: three years exactly is short-term because the band is "not over 3 years," and nine years exactly is mid-term because that band runs to "not over 9 years."
What is actually published each month. The IRS issues the rates as a revenue ruling, and the same ruling carries several related figures. Table 1 gives the short-term, mid-term and long-term AFRs for purposes of section 1274(d), each at annual, semiannual, quarterly and monthly compounding, together with the 110, 120 and 130 percent multiples of each and the 150 and 175 percent multiples of the mid-term rate. Table 2 gives the adjusted AFRs for purposes of section 1288(b), used for tax-exempt obligations. Table 3 gives the adjusted federal long-term rate and the long-term tax-exempt rate described in section 382(f), which limits the use of a corporation's losses after an ownership change. Table 4 gives the low-income housing credit percentages under section 42(b)(1). Table 5 gives the section 7520 rate, which section 7520(a)(2) sets at "120 percent of the Federal midterm rate in effect under section 1274(d)(1) for the month in which the valuation date falls," rounded to the nearest two tenths of one percent, and which is used to value an annuity, a life interest, a term of years, a remainder or a reversion. Choosing the wrong table is a real error: a charitable remainder trust is valued with the section 7520 rate, not with the plain AFR.
One 110 percent case sits in section 1274 itself. Subsection (e) provides that where a debt instrument is given for property that the transferor or a related person then leases back, the discount rate is 110 percent of the applicable federal rate, compounded semiannually. That is a separate rule from the multiples published for other sections' use.
Where the AFR is consumed. Section 7872 uses it to impute interest on below-market loans, which is the rule that makes a family loan at zero interest a partial gift; the family-loan mechanics, the de minimis exceptions and the gift consequences belong to the intrafamily loan page. Sections 483 and 1274 use it to recharacterize part of the deferred payments on an installment sale as unstated interest, which is the seller-financing case. Section 7520 uses 120 percent of the mid-term rate to value split-interest transfers. Section 1288 uses an adjusted AFR for tax-exempt obligations. The revenue ruling that publishes the rates lists the sections it serves on its face, which is a quicker way to check whether a given provision uses this rate than reading the provision.