Applicable Federal Rates · August 2013
Applicable Federal Rates for August 2013
Every rate the IRS published for August 2013 in Rev. Rul. 2013-13: 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 August 2013 the mid-term AFR was 1.63% and 120% of it was 1.95% (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 1.95%. The § 7520 rate for the month was 2.0%.
| Rate | Annual | Semiannual | Quarterly | Monthly |
|---|---|---|---|---|
| Short-term (3 years or less) | ||||
| AFR | 0.28% | 0.28% | 0.28% | 0.28% |
| 110% AFR | 0.31% | 0.31% | 0.31% | 0.31% |
| 120% AFR | 0.34% | 0.34% | 0.34% | 0.34% |
| 130% AFR | 0.36% | 0.36% | 0.36% | 0.36% |
| Mid-term (over 3, up to 9 years) | ||||
| AFR | 1.63% | 1.62% | 1.62% | 1.61% |
| 110% AFR | 1.79% | 1.78% | 1.78% | 1.77% |
| 120% AFR | 1.95% | 1.94% | 1.94% | 1.93% |
| 130% AFR | 2.12% | 2.11% | 2.10% | 2.10% |
| 150% AFR | 2.44% | 2.43% | 2.42% | 2.42% |
| 175% AFR | 2.86% | 2.84% | 2.83% | 2.82% |
| Long-term (over 9 years) | ||||
| AFR | 3.16% | 3.14% | 3.13% | 3.12% |
| 110% AFR | 3.48% | 3.45% | 3.44% | 3.43% |
| 120% AFR | 3.81% | 3.77% | 3.75% | 3.74% |
| 130% AFR | 4.12% | 4.08% | 4.06% | 4.05% |
| Term | Annual | Semiannual | Quarterly | Monthly |
|---|---|---|---|---|
| Short-term adjusted AFR | 0.28% | 0.28% | 0.28% | 0.28% |
| Mid-term adjusted AFR | 1.61% | 1.60% | 1.60% | 1.59% |
| Long-term adjusted AFR | 3.16% | 3.14% | 3.13% | 3.12% |
| Adjusted federal long-term rate (§ 382) | 3.16% |
| Long-term tax-exempt rate (§ 382; highest of this and the prior two months) | 3.16% |
| § 7520 rate (annuities, life estates, remainders) | 2.0% |
Source: IRS Rev. Rul. 2013-13, 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.
The § 7520 rate is the annual 120% mid-term figure rounded to the nearest 0.2%, with a tie rounding up: 1.95% → 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.
Related calculators
Calculate substantially equal periodic payments (SEPP) for penalty-free IRA withdrawals before age 59½ — all three IRS-approved methods side by side, with the formula and every assumption labeled.
Open tool →Roth Conversion Ladder CalculatorBuild the year-by-year schedule for penalty-free withdrawals before 59½ — each conversion, its 5-year seasoning date, the tax due, and the bridge funds needed while the first rungs season.
Open tool →Early Withdrawal Penalty CalculatorWhat a 401(k) or IRA withdrawal before 59½ actually costs — the 10% penalty, federal and state tax, net cash in hand, and the gross withdrawal needed to net a target amount.
Open tool →I Bond Rates by PeriodSeries I savings bond fixed, inflation and composite rates for every six-month period since 1998, the composite worked from Treasury's formula, and what each issue cohort earns now.
Open tool →