swaitsandClaude Opus 5.5
a7f3cc09a9
check / check (push) Canceled after 0s
Members' shares of earnings are split cumulatively by largest remainder in the closes, the members' equity statement, the K-1 worksheet and the viewer, so a member's capital on a given day never moves by a cent when its month is later closed. Old closes replay as they were; the first P3 close carries any true-up. Feature members_cumulative. Kani and Lean proofs of the bounded drift; bookspec examples. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01T3gXMVt7XJPi6ens1or9Dj
289 lines
7.6 KiB
TOML
289 lines
7.6 KiB
TOML
id = "members-close.thirds-over-twelve-months"
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title = "Three members at a third each, twelve monthly closes"
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rule = "Each monthly close to the members MUST give each member their largest-remainder split of everything closed so far, to the minor unit, less what earlier closes gave them, so after every close each member's total is less than one minor unit from their exact share."
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status = "CHOICE"
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sources = ["26 U.S.C. §704(a)", "Treas. Reg. §1.704-1(b)(2)(iv)(b)"]
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tags = ["partnership", "close", "rounding", "book", "us"]
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# A third each can't be written as decimal shares summing to one, so the
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# members hold 33.33%, 33.33% and 33.34%. Twelve months, each closed to
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# them: 100.00, 0.01, 0.02, 33.33, -0.05, 0.10, 1.00, 0.07, 0.01, 12.34,
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# -5.00, 0.02 (141.85 in all).
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#
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# By hand, from the rule (the running total, its exact shares, the floors
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# to the cent, then the left-over cents to the largest remainders):
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# January, 100.00: 33.33 / 33.33 / 33.34 exactly.
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# February, running 100.01: 33.333333 / 33.333333 / 33.343334; floors
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# 33.33 / 33.33 / 33.34 leave a cent for the largest remainder, C's
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# .003334: 33.33 / 33.33 / 33.35, so February gives C 0.01.
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# March, running 100.03: 33.339999 / 33.339999 / 33.350002; floors 33.33
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# / 33.33 / 33.35 leave two cents for A's and B's .009999: 33.34 /
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# 33.34 / 33.35, so March gives A 0.01 and B 0.01.
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# November, running 141.83: 47.271939 / 47.271939 / 47.286122; floors
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# 47.27 / 47.27 / 47.28 leave a cent for C's .006122: 47.27 / 47.27 /
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# 47.29.
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# December, running 141.85: 47.278605 / 47.278605 / 47.29279; floors
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# 47.27 / 47.27 / 47.29 leave two cents for A's and B's .008605: 47.28
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# / 47.28 / 47.29, so December gives A 0.01 and B 0.01.
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[setup]
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currency = "USD"
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fiscal_year_start = "01-01"
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basis = "accrual"
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rounding = "largest-remainder"
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[[setup.accounts]]
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code = "1000"
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name = "Cash"
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type = "asset"
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[[setup.accounts]]
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code = "3000"
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name = "Capital, A"
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type = "equity"
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[[setup.accounts]]
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code = "3001"
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name = "Capital, B"
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type = "equity"
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[[setup.accounts]]
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code = "3002"
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name = "Capital, C"
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type = "equity"
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[[setup.accounts]]
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code = "4000"
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name = "Sales"
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type = "revenue"
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[[setup.accounts]]
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code = "6000"
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name = "Fees"
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type = "expense"
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[[setup.members]]
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name = "A"
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capital_account = "3000"
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share = "0.3333"
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[[setup.members]]
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name = "B"
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capital_account = "3001"
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share = "0.3333"
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[[setup.members]]
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name = "C"
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capital_account = "3002"
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share = "0.3334"
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[[events]] # event 1
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date = "2026-01-10"
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description = "January's sales"
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lines = [
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{ account = "1000", side = "debit", amount = "100.00" },
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{ account = "4000", side = "credit", amount = "100.00" },
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]
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[[events]] # event 2
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date = "2026-01-31"
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description = "Close January to the members"
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close = { start = "2026-01-01", to = "members" }
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[[events]] # event 3
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date = "2026-02-10"
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description = "February's sales"
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lines = [
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{ account = "1000", side = "debit", amount = "0.01" },
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{ account = "4000", side = "credit", amount = "0.01" },
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]
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[[events]] # event 4
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date = "2026-02-28"
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description = "Close February to the members"
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close = { start = "2026-02-01", to = "members" }
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[[events]] # event 5
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date = "2026-03-10"
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description = "March's sales"
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lines = [
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{ account = "1000", side = "debit", amount = "0.02" },
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{ account = "4000", side = "credit", amount = "0.02" },
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]
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[[events]] # event 6
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date = "2026-03-31"
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description = "Close March to the members"
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close = { start = "2026-03-01", to = "members" }
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[[events]] # event 7
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date = "2026-04-10"
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description = "April's sales"
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lines = [
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{ account = "1000", side = "debit", amount = "33.33" },
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{ account = "4000", side = "credit", amount = "33.33" },
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]
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[[events]] # event 8
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date = "2026-04-30"
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description = "Close April to the members"
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close = { start = "2026-04-01", to = "members" }
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[[events]] # event 9
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date = "2026-05-10"
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description = "May's fees"
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lines = [
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{ account = "6000", side = "debit", amount = "0.05" },
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{ account = "1000", side = "credit", amount = "0.05" },
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]
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[[events]] # event 10
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date = "2026-05-31"
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description = "Close May to the members"
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close = { start = "2026-05-01", to = "members" }
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[[events]] # event 11
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date = "2026-06-10"
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description = "June's sales"
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lines = [
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{ account = "1000", side = "debit", amount = "0.10" },
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{ account = "4000", side = "credit", amount = "0.10" },
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]
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[[events]] # event 12
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date = "2026-06-30"
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description = "Close June to the members"
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close = { start = "2026-06-01", to = "members" }
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[[events]] # event 13
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date = "2026-07-10"
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description = "July's sales"
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lines = [
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{ account = "1000", side = "debit", amount = "1.00" },
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{ account = "4000", side = "credit", amount = "1.00" },
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]
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[[events]] # event 14
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date = "2026-07-31"
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description = "Close July to the members"
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close = { start = "2026-07-01", to = "members" }
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[[events]] # event 15
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date = "2026-08-10"
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description = "August's sales"
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lines = [
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{ account = "1000", side = "debit", amount = "0.07" },
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{ account = "4000", side = "credit", amount = "0.07" },
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]
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[[events]] # event 16
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date = "2026-08-31"
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description = "Close August to the members"
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close = { start = "2026-08-01", to = "members" }
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[[events]] # event 17
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date = "2026-09-10"
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description = "September's sales"
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lines = [
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{ account = "1000", side = "debit", amount = "0.01" },
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{ account = "4000", side = "credit", amount = "0.01" },
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]
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[[events]] # event 18
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date = "2026-09-30"
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description = "Close September to the members"
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close = { start = "2026-09-01", to = "members" }
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[[events]] # event 19
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date = "2026-10-10"
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description = "October's sales"
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lines = [
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{ account = "1000", side = "debit", amount = "12.34" },
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{ account = "4000", side = "credit", amount = "12.34" },
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]
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[[events]] # event 20
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date = "2026-10-31"
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description = "Close October to the members"
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close = { start = "2026-10-01", to = "members" }
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[[events]] # event 21
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date = "2026-11-10"
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description = "November's fees"
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lines = [
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{ account = "6000", side = "debit", amount = "5.00" },
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{ account = "1000", side = "credit", amount = "5.00" },
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]
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[[events]] # event 22
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date = "2026-11-30"
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description = "Close November to the members"
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close = { start = "2026-11-01", to = "members" }
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[[events]] # event 23
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date = "2026-12-10"
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description = "December's sales"
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lines = [
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{ account = "1000", side = "debit", amount = "0.02" },
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{ account = "4000", side = "credit", amount = "0.02" },
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]
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[[events]] # event 24
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date = "2026-12-31"
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description = "Close December to the members"
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close = { start = "2026-12-01", to = "members" }
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[[expect]]
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query = "entry"
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entry = 2
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[expect.values]
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"4000.debit" = "100.00"
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"3000.credit" = "33.33"
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"3001.credit" = "33.33"
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"3002.credit" = "33.34"
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[[expect]]
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query = "entry"
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entry = 4
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[expect.values]
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"4000.debit" = "0.01"
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"3002.credit" = "0.01"
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[[expect]]
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query = "entry"
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entry = 6
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[expect.values]
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"4000.debit" = "0.02"
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"3000.credit" = "0.01"
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"3001.credit" = "0.01"
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[[expect]]
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query = "entry"
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entry = 24
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[expect.values]
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"4000.debit" = "0.02"
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"3000.credit" = "0.01"
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"3001.credit" = "0.01"
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[[expect]]
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query = "balances"
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as_of = "2026-11-30"
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[expect.values]
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"3000" = "47.27"
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"3001" = "47.27"
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"3002" = "47.29"
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[[expect]]
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query = "balances"
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as_of = "2026-12-31"
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[expect.values]
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"3000" = "47.28"
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"3001" = "47.28"
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"3002" = "47.29"
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