Mid-Quarter Q4 Convention Math: When §168(d)(3) Kicks In
When mid-quarter convention applies to a single-property cost-seg, how Tables A-5 and A-6 differ from the half-year tables, and a worked Q4 example.
Mid-Quarter Q4 Convention Math: When §168(d)(3) Kicks In
What you'll learn. When the mid-quarter convention under IRC §168(d)(3) overrides the default half-year convention for the 5-year, 7-year, and 15-year accelerable buckets in a cost-seg study, the full Table A-5 (200% DB) and Table A-6 (150% DB) Q4 percentages, and a worked example showing the year-1 swing for an October vs. September acquisition. The same logic drives is_mid_quarter_q4() in the engine.
The §168(d)(3) trigger
The default placed-in-service convention for tangible personal property under §168(d)(1) is the half-year. IRC §168(d)(3) imposes the mid-quarter convention instead when:
The aggregate bases of property to which this section applies and which is placed in service during the last 3 months of the taxable year exceed 40 percent of the aggregate bases of all such property placed in service during such taxable year.
Read for a single-property cost segregation: every reclassified dollar of accelerable property is "placed in service" on the same day — the property's acquisition date. So 100% of the 5-year, 7-year, and 15-year basis hits the same month. If that month is in Q4 (October, November, or December), the >40% test trivially passes and mid-quarter applies. If that month is Q1, Q2, or Q3, no part of the basis is in Q4, the >40% test fails, and the half-year convention applies.
The trigger is all-or-nothing for a single-property study. No partial application. Multi-property taxpayers (e.g., a small fund placing five properties across three quarters) must aggregate to test §168(d)(3) — those facts are out of scope for this walkthrough.
Tables A-5 and A-6 (Q4 column)
IRS Publication 946 publishes the mid-quarter percentages in Tables A-2 (200% DB, 5-yr and 7-yr) and A-6 (150% DB, 15-yr). The Q4 column captures the dramatic compression — Q4 placement gives only half a month of year-1 depreciation (mid-November as the deemed placed-in-service date), so year-1 percentages collapse.
5-year property, 200% DB, Q4 mid-quarter:
| Year | HY (default) | MQ Q4 | |---|---|---| | 1 | 20.00% | 5.00% | | 2 | 32.00% | 38.00% | | 3 | 19.20% | 22.80% | | 4 | 11.52% | 13.68% | | 5 | 11.52% | 10.94% | | 6 | 5.76% | 9.58% |
7-year property, 200% DB, Q4 mid-quarter:
| Year | HY | MQ Q4 | |---|---|---| | 1 | 14.29% | 3.57% | | 2 | 24.49% | 27.55% | | 3 | 17.49% | 19.68% | | 4 | 12.49% | 14.06% | | 5 | 8.93% | 10.04% | | 6 | 8.92% | 8.73% | | 7 | 8.93% | 8.73% | | 8 | 4.46% | 7.64% |
15-year property, 150% DB, Q4 mid-quarter:
| Year | HY | MQ Q4 | |---|---|---| | 1 | 5.00% | 1.25% | | 2 | 9.50% | 9.88% | | 3 | 8.55% | 8.89% | | 4 | 7.70% | 8.00% | | 5 | 6.93% | 7.20% | | 6 | 6.23% | 6.48% |
The pattern: year-1 collapses to roughly 25% of the half-year rate, year-2 catches up partially, and the schedule rebalances over the recovery period. Total depreciation is identical — only the timing changes.
Worked example — September vs. October close
Same property: $750,000 STR (land $150,000, building $600,000), engineering study reclassifies $150,000 (5-year) and $48,000 (15-year). The taxpayer is choosing between closing September 28 vs. October 5. No bonus depreciation in this example to isolate the convention effect (assume the 5-yr/15-yr buckets are bonus-ineligible — e.g., used property acquired pre-2017 from a related party).
September close (Q3 — half-year convention applies)
- 5-year year-1: $150,000 × 20.00% = $30,000
- 15-year year-1: $48,000 × 5.00% = $2,400
- Building S/L mid-month September: $402,000 / 27.5 × (3.5/12) = $4,267
- Year-1 total: $36,667
- At 35% federal bracket: ~$12,833 tax effect
October close (Q4 — mid-quarter applies)
- 5-year year-1: $150,000 × 5.00% = $7,500
- 15-year year-1: $48,000 × 1.25% = $600
- Building S/L mid-month October: $402,000 / 27.5 × (2.5/12) = $3,048
- Year-1 total: $11,148
- At 35%: ~$3,902 tax effect
The seven-day delay from late September to early October costs ~$8,931 of year-1 federal tax effect. Year 2 partially recovers: under MQ-Q4 the 5-year bucket gets 38% vs. half-year's 32%, so the year-2 catch-up adds back roughly $9,000 × 35% = $3,150. Net NPV cost of the seven-day timing slip at a 7% discount rate is roughly $5,800.
When bonus depreciation neutralizes mid-quarter
When 100% bonus applies (post-OBBBA acquisitions after Jan 19, 2025), the bonus deduction strips out the entire reclassifiable basis in year 1 regardless of convention. Mid-quarter convention only applies to the post-bonus residual, which is zero. So:
- September 2026 close, 100% bonus: 5-yr + 15-yr × 100% = $198,000 year-1 deduction. Mid-quarter has no effect because there's no residual to apply MACRS to.
- October 2026 close, 100% bonus: identical $198,000 year-1 deduction.
Mid-quarter convention only matters when bonus is partial (2024 was 60%, 2023 was 80%) or when the property is bonus-ineligible (used property from a related party under §179(d)(3), §1245 property acquired by inheritance, or pre-2017 acquisitions for a §481(a) lookback).
The §481(a) interaction
For a Form 3115 lookback on a property acquired in October 2024 (60% bonus year), the §481(a) catch-up math must apply mid-quarter percentages to the post-bonus residual:
- Accelerable basis $200,000, bonus rate 60% = $120,000 bonus + $80,000 residual on MQ-Q4 schedule
- Year-1 (2024) MACRS on $80,000 5-yr at MQ-Q4 5.00% = $4,000
- Year-2 (2025) MACRS at 38.00% = $30,400
- Year-3 (2026) MACRS at 22.80% = $18,240
Our _compute_481a() engine applies accel_convention = "MQ-Q4" if is_mid_quarter_q4(purchase_month) else "HY" and threads it through macrs_deduction() for every catch-up year. The MACRS_TABLES_MQ_Q4 dict in constants.py carries the Q4-column-only values because that's the only mid-quarter case the engine triggers.
Screen an October 2024 lookback with mid-quarter convention →
Sources
- IRC §168(d)(3) — Mid-quarter convention trigger (>40% in Q4)
- IRC §168(d)(1) — Half-year convention default
- Treas. Reg. §1.168(d)-1(b)(2) — Mid-quarter computation rules
- IRS Publication 946 — Tables A-2, A-5, A-6
- IRS Cost Segregation Audit Techniques Guide, Chapter 4
Disclaimer. This tutorial describes general federal tax concepts. TaxProtestTx (Nought Labs LLC) is a feasibility-screening tool, not tax advice or a cost segregation study. Calculator output cannot be relied on under Treasury Circular 230. Consult a qualified CPA, EA, or attorney before filing. Results are not guaranteed.