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Applicable Federal Rates · September 2013

Applicable Federal Rates for September 2013

Every rate the IRS published for September 2013 in Rev. Rul. 2013-18: the short-, mid- and long-term AFR at four compounding periods, the multiples, the adjusted AFR, and the § 7520 rate. The 120% mid-term row is worked below the table.

In September 2013 the mid-term AFR was 1.66% and 120% of it was 1.99% (annual compounding), so a 72(t)/SEPP payment beginning in either of the two following months could use up to the greater of 5% and 1.99%. The § 7520 rate for the month was 2.0%.

Table 1 — Applicable Federal Rates, by compounding period
RateAnnualSemiannualQuarterlyMonthly
Short-term (3 years or less)
AFR0.25%0.25%0.25%0.25%
110% AFR0.28%0.28%0.28%0.28%
120% AFR0.30%0.30%0.30%0.30%
130% AFR0.33%0.33%0.33%0.33%
Mid-term (over 3, up to 9 years)
AFR1.66%1.65%1.65%1.64%
110% AFR1.83%1.82%1.82%1.81%
120% AFR1.99%1.98%1.98%1.97%
130% AFR2.16%2.15%2.14%2.14%
150% AFR2.50%2.48%2.47%2.47%
175% AFR2.91%2.89%2.88%2.87%
Long-term (over 9 years)
AFR3.28%3.25%3.24%3.23%
110% AFR3.61%3.58%3.56%3.55%
120% AFR3.94%3.90%3.88%3.87%
130% AFR4.27%4.23%4.21%4.19%
Table 2 — Adjusted AFR (§ 1288, tax-exempt obligations)
TermAnnualSemiannualQuarterlyMonthly
Short-term adjusted AFR0.25%0.25%0.25%0.25%
Mid-term adjusted AFR1.66%1.65%1.65%1.64%
Long-term adjusted AFR3.28%3.25%3.24%3.23%
Tables 3 and 5 — § 382 and § 7520 rates
Adjusted federal long-term rate (§ 382)3.28%
Long-term tax-exempt rate (§ 382; highest of this and the prior two months)3.28%
§ 7520 rate (annuities, life estates, remainders)2.0%

Note on this month's source. Rev. Rul. 2013-18 is not on irs-drop (404); transcribed from Internal Revenue Bulletin 2013-37, pages 186-187. Source document.

Source: IRS Rev. Rul. 2013-18, Tables 1, 2, 3 and 5 (PDF on irs.gov). Percentages are shown as the ruling prints them; nothing here is rounded or derived except the worked lines below, which are labelled as such. Rates apply to the calendar month named, under IRC § 1274(d); which month governs a given instrument depends on the Code section that uses it.

How the 120% mid-term rate is derived

The IRS applies each multiple to the semiannual mid-term AFR, then converts that semiannual rate to the other compounding periods. Multiplying the annual figure by 1.2 does not reproduce the published table; this does, within 0.01 percentage points, in every ruling since January 2000.

semiannual mid-term AFR 1.65% × 1.2 1.98% (published semiannual 120%: 1.98%) annual (1 + s/2)² − 1 1.99% (published: 1.99%) quarterly 4 × ((1 + s/2)^(1/2) − 1) 1.98% (published: 1.98%) monthly 12 × ((1 + s/2)^(1/6) − 1) 1.97% (published: 1.97%)

The § 7520 rate is the annual 120% mid-term figure rounded to the nearest 0.2%, with a tie rounding up: 1.99% → 2.0%, which is what the ruling publishes.

What these rates are for

IRC § 1274(d) requires the IRS to publish the applicable federal rates every month: the short-term rate for instruments of three years or less, the mid-term rate for over three and up to nine years, and the long-term rate beyond that, each set from the average market yield on outstanding U.S. Treasury obligations of comparable maturity. The multiples serve other Code sections: 120% of the mid-term rate caps a 72(t)/SEPP fixed-amortization or annuitization payment (Notice 2022-6) and, rounded to 0.2%, is the § 7520 rate used to value annuities, life estates and remainders; the 110%, 130%, 150% and 175% rows feed § 42, § 382, § 467 and § 468 computations. The adjusted AFR in Table 2 is the § 1288 rate for tax-exempt obligations.

Informational only, not tax, legal or financial advice. Confirm the figure against the linked ruling before relying on it.

Last reviewed: November 2026 · snapshot built 2026-10-26 from irs.gov.

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