The Ledger / ResearchPrivate

ACGLArch Capital Group Ltd.

Cluster insurance Coverage sec_domestic CIK 947484 watchlist (owner, Apple Stocks, 2026-09-20) · First logged: 2026-09-22 · Slot names-insurance-1

Stages closed6 of 10Worked and gated by the routine.
Carried to a cluster3Owned by a cluster pass — listed under Sources.
Open with you1Conviction, buy price and size are never the routine’s.
Last worked22 Sep 2026The date of the most recent dossier.

Where this name stands

6 of 10 stages closed

ClosedCarried forwardOpen with the ownerFailedNot started

Next action

on the Q3 2026 10-Q (late October), re-run one table — Note 5's "(favorable) and adverse net PYD by segment and tail length". The whole name turns on it. Q2 2026 was short-tailed $201m favourable against long-tailed $32m adverse; a year earlier it was $152m favourable against $1m favourable. Two more quarters on that trajectory and the long-tail charge starts to exceed what the property book can release, at which point the reported combined ratio moves toward the 82.5% underlying figure without a single catastrophe.

Open with the owner

S6 product test / expert call, S7 conviction, S8 buy price and size.

Failed gates

none. S0/S4/S7 are not closed by design (cluster stages, carried forward). S3 is closed with the transcript deviation named above.

StageWhat it coversStateWhat the run found
S0Universe & fitCarried forwardcarry-forward (cluster: Insurance & reinsurance — cluster pass, 2026-09-22) — ⚠️ 2/4, informative rather than disqualifying: distribution 0 (broker-intermediated), data 1, liability absorption 1, bottleneck 0. The cluster file's own note applies: the four-part test scores the industry, not the company. Owner checks dropped 2026-09-21 (README §Stage 0 override). Liquidity: ADV $349.7m/day (21 sessions to 2026-09-21, ROIC NASDAQ:ACGL) — no constraint at any plausible size.
S1Source taggedClosedwatchlist (owner, Apple Stocks, 2026-09-20). No Tier 0 promotion; first member of the first insurance name slot.
S2Kill testClosedFY2025 revenue $19,929m (+14.3%), net income $4,399m, net premiums earned $17,065m, shareholders' equity $24,206m, reserves $33,547m (XBRL). Five-year share count 406.7m (2020) → 359.0m (2025) → 340.9m (2026-06-30): −16% and accelerating. No cash-runway question; interest paid $65m against $2.1bn of half-year net income. Survives comfortably. ⚠️ but the direction has turned on three lines at once: Q2 2026 gross premiums written −1.1%, net written −6.9%, net earned −8.1%, underwriting income −19.7%, and the combined ratio EXCLUDING cats and prior-year development 82.5% against 80.9%. Equity FELL $176m over the half on $2,104m of net income because $1,949m went to buybacks.
S3Filings deep diveClosed(gate-minimum) — FY2025 10-K risk-factor summary, Item 1A ordering and PwC's report; Q2 2026 10-Q Note 5 (reserve roll-forward and the PYD-by- tail-length table), Note 3 (buyback), Note 9 (senior notes) and the cash flow statement; the 2026-07-28 results 8-K; the 2026-03-24 DEF 14A ownership table; and a filing-index red-flag sweep (no NT 10-K, no UPLOAD/CORRESP, no 10-K/A or 10-Q/A anywhere in the index; PwC, PCAOB 238; sole CAM is reserve valuation). Three disclosed risks named with locators, all from management's own ordered summary. ⚠️ Deviation: no earnings-call transcript was read — the Equibles connector failed to connect for this session and fool.com has no Q2 2026 ACGL transcript (404 on both plausible URLs). Management commentary comes from the 8-K release, which is primary and locatable, plus a summary-kind read of the Q1 2026 fool.com transcript that is marked as such and is not quoted anywhere.
S4Industry/supply mapCarried forwardcarry-forward (cluster: Insurance & reinsurance — cluster pass, 2026-09-22)
S5Ownership checkClosed13F by manager at 2026-06-30 (BlackRock 30.2m sh / $2,933m, State Street 16.3m, BAMCO/Baron 15.9m), 13D/G census, proxy group ownership (17 officers and directors = 3.3%, every individual under 1%), the $3.0bn authorisation added 2026-04-19 with $2.2bn remaining. Who is on the other side: index money plus Baron, no strategic block. Shelf: none read this run (no S-3 in the recent index). ⚠️ the Q2-26 13F quarter is incompletely ingested (609 filers vs 898) — both Vanguard entities, Artisan, WCM, Geode, JPMorgan, Northern Trust, Morgan Stanley and Dimensional have no filing in it, so no "exit" may be read from an absence. ⚠️⚠️ the Sixth Street row is NOT a holding — see the log.
S6ScuttlebuttClosedcarry-forward (cluster: Insurance & reinsurance — cluster pass, 2026-09-22) — named in the 2026-09-07 Real Eisman Playbook reinsurance-consolidation passage, plus a Jefferies downgrade to Hold, $100 PT. Product test / expert call open OPEN (user)
S7Written thesis + testCarried forwardcarry-forward (cluster: Insurance & reinsurance — cluster pass, 2026-09-22) — conviction open OPEN (user)
S8Valuation & sizingOpen with the ownerOPEN (user) — 8.6x 2026E and 9.1x 2028E model EPS at $95.78 (2026-09-21); 1.41x book ($68.04 BVPS at 2026-06-30, 1.04x the modelled 2028 BVPS of ~$92). Base ~$105, bear ~$77, bull ~$130. Buy price and size are owner-only.
S9Watchlist/monitoringClosedtrigger written; next earnings expected late October 2026 (DERIVED from filing cadence: Q3 releases went 2025-10-27 and 2024-10-28; ROIC.ai's calendar needs a paid plan and Equibles was unreachable); Tier 0 EDGAR sweep covers the feed (cik 947484)

Kill criteria

Specific and testable, from the dossier’s evidence
  • Long-tailed prior-year development exceeds $75m adverse in a single quarter, or exceeds the short-tailed release in any quarter. Q2 2026 was $32m adverse against $201m released; H1 2026 was $48m against $437m. The ratio, not the net number, is the series to watch.
  • Group ex-cat ex-PYD combined ratio crosses 85%. It was 80.9% (Q2 2025) → 82.5% (Q2 2026). Two more years at 1.6 points a year gets there.
  • Net premiums written decline more than 10% year on year for three consecutive quarters while the buyback continues at the H1 2026 pace. Shrinking the book is the right answer to a soft market; shrinking it while adding $1.56bn of senior notes to buy stock at 1.41x book is a different bet, and it is the one being made.
  • Senior notes exceed $5bn, or equity declines for two more consecutive quarters. Equity went $24,206m → $24,030m over H1 2026 on $2,104m of earnings.

Sources

8 documents cited by the connection map

What this profile was read from. Every edge on the map below cites one of these keys and a locator inside it; anything the run took from background knowledge or a search summary is marked as such in the dossier text rather than listed here.

KeyDocumentWhere it came fromRetrieved
10K-2025Arch Capital 10-K for FY2025, filed 2026-02-26https://www.sec.gov/Archives/edgar/data/947484/000094748426000017/acgl-20251231.htm2026-09-22
10Q-Q2-26Arch Capital 10-Q for the quarter ended 2026-06-30, filed 2026-08-04https://www.sec.gov/Archives/edgar/data/947484/000094748426000124/acgl-20260630.htm2026-09-22
8K-Q2-26Arch Capital 8-K filed 2026-07-28, Exhibit 99.1 — 2026 second quarter results releasehttps://www.sec.gov/Archives/edgar/data/947484/000094748426000118/ex-991release63026.htm2026-09-22
DEF14A-26Arch Capital DEF 14A filed 2026-03-24 (ownership table as of 2026-03-09)https://www.sec.gov/Archives/edgar/data/947484/000094748426000038/acgl-20260324.htm2026-09-22
13F-Q2-26Institutional holders by manager, 13F report date 2026-06-30 (ingestion incomplete — see the edge note)python ledger/research/tools/threespread.py holders ACGL2026-09-22
SIXTHST-13FSixth Street Partners Management Company 13F-HR for 2026-06-30, accession 0001752724-26-000051 — filing indexhttps://www.sec.gov/Archives/edgar/data/1812095/000175272426000051/index.json2026-09-22
SIXTHST-13FASixth Street Partners Management Company 13F-HR/A (RESTATEMENT) for 2026-06-30, accession 0001752724-26-000055https://www.sec.gov/Archives/edgar/data/1812095/000175272426000055/primary_doc.xml2026-09-22
CLUSTER-INSInsurance & reinsurance cluster pass, 2026-09-22, slot cluster-insuranceledger/research/_clusters/cluster-insurance-2026-09-22.md2026-09-22

Connection map

11 edges · 15 nodes · 8 documents

Every edge carries the document it was read from and where in it. Kinds in use: context (3), issuer of (2), officer of (1), auditor of (1), holds (1), litigation watch (1), governance structure (1), competitor (1).

FromLinkToAs ofEvidence
ACGLcontextACGL2026-06-3010Q-Q2-26 — Note 5, Reserve for Losses and Loss Adjustment Expenses — table 'summarizes (favorable) and adverse net PYD by segment and tail length'
ACGLissuer ofArch Capital senior notes (carrying value $4.3bn at 2026-06-30)2026-06-3010Q-Q2-26 — Note 9, Fair Value — senior notes carrying value paragraph
ACGLissuer ofArch Capital share repurchase program2026-06-3010Q-Q2-26 — Note 3, Shareholders' Equity — share repurchase program paragraph
Nicolas Papadopouloofficer ofACGL2026-07-288K-Q2-26 — Exhibit 99.1, CEO quote following the results bullets
ACGLcontextACGL2026-02-2610K-2025 — Item 1A, RISK FACTORS SUMMARY, second bullet under 'Risks Relating to Our Industry, Business and Operations'
PricewaterhouseCoopers LLPauditor ofACGL2025-12-3110K-2025 — Item 8, Report of Independent Registered Public Accounting Firm — Critical Audit Matters heading
BlackRock, Inc.holdsACGL2026-06-3013F-Q2-26 — holders table, row 1; WARNING line and 'Prior holders with NO 13F ingested' line beneath it
Sixth Street Partners Management Company, L.P.litigation watchACGL2026-08-14SIXTHST-13F — Archives directory listing for accession 0001752724-26-000051 — the information-table filename
Sixth Street Partners Management Company, L.P.contextCharles Schwab Investment Management, Inc.2026-08-14SIXTHST-13FA — primary_doc.xml, summaryPage — tableEntryTotal and tableValueTotal
ACGLgovernance structureFrançois Morin2026-03-09DEF14A-26 — Security Ownership table, group row
ACGLcompetitorKinsale Capital Group, Inc.2026-06-30CLUSTER-INS — §1 — The cycle, from a filing rather than from commentary; §5 cluster thesis

Every document keyed above is listed in Sources.

Log

  • 2026-09-22 — first pass, slot names-insurance-1, model-drafted unattended by the cloud research routine. S1, S2, S3 (gate-minimum, no transcript — Equibles down, fool.com 404), S5 and S9 closed; S0/S4/S6/S7 carried forward from Insurance & reinsurance — cluster pass, 2026-09-22; S8 modelled and left open. Run finding: the prior-year-development split by tail length confirms the cluster hypothesis — the release is short-tail property, the long tail is already adverse and worsening ($1m favourable → $32m adverse in the quarter, $5m → $48m adverse over the half). Second finding: Arch raised $1,977m of borrowings in H1 2026 (zero in H1 2025), took senior notes from $2.7bn to $4.3bn, and spent $1,949m on buybacks at ~$92 against $68.04 of book. Tooling finding affecting every S5 in this repo: the "Sixth Street Partners Management Company" row that 3spread reports for ACGL, KNSL, AX and QCOM is Charles Schwab Investment Management's position counted twice. Sixth Street's 13F-HR accession 0001752724-26-000051 has Schwab's information table (13F_0000884546_20260630.xml) attached to it; Sixth Street restated the same day (0001752724-26-000055, 9 holdings, $579,182,557, none of them these names) and 3spread has not ingested the restatement. Discard the row. Evidence and access limits in dossier-2026-09-22.md. Nothing here is human-verified.

Dossier, 22 Sep 2026

Never edited after the day it was written

ACGL — Arch Capital Group Ltd. — dossier, 2026-09-22

Slot names-insurance-1. Model-drafted unattended by the cloud research routine (Opus 5), following .claude/skills/stock-sourcing-pipeline/SKILL.md. Nothing here is human-verified. Sourced facts carry the document they were read from; anything from background knowledge is marked [background]; anything from a search-result summary is marked [search-summary]. Private: this directory never reaches dist/.

Access this run

RungState
1. SEC EDGARReachable. Carried essentially the whole pass — submissions index, XBRL company concepts, and four documents read in full.
4. EquiblesUNREACHABLE. The connector failed to connect for this session (equible (502) … CLIENT_HTTP_NOT_IMPLEMENTED). No transcript, no short interest, no valuation multiples from this rung. 0 of the 25-call budget spent — because none could be.
4b. 3spreadReachable (key present, HTTP 200). Used for 13F holders and 13D/G. See the defect below.
5. ROIC.aiReachable for prices; the earnings calendar still needs a paid plan.
6. WebSearchReachable.
7. www.fool.comReachable, but has no Q2 2026 ACGL transcript — 404 on /2026/07/28/ and /2026/07/29/. Only the Q1 2026 transcript exists, and WebFetch returns a model summary of it rather than a locatable span, so it is used as [search-summary] and quoted nowhere.

§1 — The finding: the release is short-tail, the long tail has already turned

The 2026-09-22 cluster pass ended with this instruction: "Its S3 gate-minimum read should start with Arch's Q2 10-Q reserve roll-forward, because the ex-cat ex-development gap identified in §1 is the thing a name pass can either confirm or kill." It is confirmed, and the 10-Q gives a split the cluster pass did not have — prior-year development by tail length.

Note 5 of the Q2 2026 10-Q, table headed "summarizes (favorable) and adverse net PYD by segment and tail length", $ millions, negative = favourable:

Q2 2026 shortQ2 2026 longQ2 2026 totalQ2 2025 shortQ2 2025 longQ2 2025 total
Insurance(33)6(27)(13)5(8)
Reinsurance(123)26(97)(75)(6)(81)
Mortgage(45)(45)(64)(64)
Total(201)32(169)(152)(1)(153)

Six months: 2026 short (437) / long 48 / total (389); 2025 short (355) / long 5 / total (350).

Read it in the order that matters:

  1. The headline improved. Net favourable PYD went $153m → $169m in the quarter, $350m → $389m over the half. On that number alone, reserving looks fine and slightly better than a year ago.
  2. The whole improvement, and more, came from short-tail lines. Short-tail releases grew from $152m to $201m (+32%) in the quarter and $355m to $437m (+23%) over the half.
  3. The long tail flipped. It went from a $1m credit in Q2 2025 to a $32m charge in Q2 2026, and from $5m to $48m adverse over the half. In Arch's own words, at the same locator:
"Long-tailed lines included $ 26 million of adverse development in casualty, primarily from the 2022 and 2023 underwriting years." — 10-Q Q2 2026, Note 5, paragraph headed 2026 Second Quarter, reinsurance segment

and in insurance: "Long-tailed lines primarily included adverse development in programs business, primarily from the 2021 to 2023 accident years." (same note, same paragraph block).

That is the cycle showing up in the accounts before it shows up in the combined ratio. The releases are coming out of 2024 and 2025 property and property-catastrophe underwriting years — a short-tail book being released a year or two after it was written, which is precisely the source that a softening property market stops replenishing. The charges are coming out of 2021-2023 casualty, which is the industry's known problem and which has years left to develop.

The mortgage segment is the third leg and it is fading on its own schedule: $64m released in Q2 2025, $45m in Q2 2026. The cluster pass already flagged the mortgage loss ratio going −1.2% to +6.5%.

Why this matters more than the headline. Arch's own release puts the combined ratio excluding catastrophes and prior-year development at 82.5% against 80.9% a year earlier. That 1.6-point deterioration is the underlying business. The reported result is held up by the $169m release. If the short-tail source dries up while the long-tail charge keeps growing, the reported number moves toward the underlying one with no catastrophe required.

§2 — The second finding: a debt-funded buyback into a softening market

From the Q2 2026 10-Q, three facts that belong in one sentence:

  • Senior notes $2,729m at 2025-12-31 → $4,286m at 2026-06-30 (Note 9). The cash flow statement shows $1,977m of proceeds from borrowings in H1 2026 against zero in H1 2025, less $398m of repayments.
  • Buybacks of $1,949m of cash in H1 2026 (Note 3: "Arch Capital repurchased 20.7 million common shares … with an aggregate purchase price of approximately $ 1.9 billion"), against $359.7m in H1 2025 — a 5.3x step-up. Average price paid ≈ $92 against a book value per common share of $68.04, i.e. ~1.35x book.
  • Equity fell. $24,206m (2025-12-31) → $24,030m (2026-06-30), despite $2,104m of net income.

The Board added $3.0bn of authorisation on 2026-04-19; $2.2bn remained at 2026-06-30. Shares outstanding 359.0m → 340.9m, −5.0% in six months.

None of this is imprudent on its own — Arch is over-capitalised by any conventional measure and the cluster pass correctly reads the capital return as a cycle call ("the disciplined actor"). But the financing of it is new. A company that genuinely believes premium rates are unattractive returns capital out of earnings; a company that borrows $1.98bn to return $1.95bn is expressing a view on its own share price as well, at 1.35-1.41x book, while its underlying combined ratio deteriorates 1.6 points and its long-tail reserves turn adverse. Those two views can both be right. They are not the same view, and the cluster file recorded only the first.

§3 — S2 kill test

FY2021FY2022FY2023FY2024FY2025
Revenues $m9,2489,61313,63417,44019,929
Net income $m2,1571,4764,4434,3124,399
Net premiums earned $m8,0829,67912,44015,10017,065
Shareholders' equity $m13,54612,91018,35320,82024,206
Loss reserves $m17,75720,03222,75229,36933,547
Diluted weighted shares m400.3377.6378.8381.8375.9

(XBRL companyconcept, CIK 947484 — Revenues, NetIncomeLoss, PremiumsEarnedNet, StockholdersEquity, LiabilityForClaimsAndClaimsAdjustmentExpense, WeightedAverageNumberOfDilutedSharesOutstanding.)

Share count over five years, the stage's loudest trap check: 406.7m (2020-12-31) → 359.0m (2025-12-31) → 340.9m (2026-06-30). No dilution anywhere; the 2023 equity jump came from retained earnings, not issuance.

2026 to date, and the turn. Q2 2026 against Q2 2025, from the results 8-K:

Q2 2026Q2 2025Δ
Gross premiums written $m6,1266,196−1.1%
Net premiums written $m4,0494,348−6.9%
Net premiums earned $m3,9854,337−8.1%
Underwriting income $m657818−19.7%
Loss ratio55.1%53.1%+2.0 pt
CR ex-cat ex-PYD82.5%80.9%+1.6 pt
Net income to common $m1,047 (=$3.00/sh)1,182 (=$3.23/sh)−11%
Operating income to common $m893 (=$2.56/sh)979 (=$2.58/sh)−9%
BVPS$68.04+2.8% vs 2026-03-31

Survives or dies: survives, easily and with room. $24.0bn of equity, $1.1bn of cash, $65m of interest paid in a half against $2.1bn of net income, no maturity wall disclosed, a $2.2bn unexercised buyback authorisation and a reserve position the auditor treats as the single critical estimate rather than a solvency question. Nothing in this pass puts the company's existence in question. What it does put in question is the level of earnings: gross premium flat, net premium falling faster than gross because Arch is buying more reinsurance or ceding more, earned premium falling faster still, the underlying combined ratio deteriorating, and the released reserves that close the gap coming out of a short-tail book that is itself shrinking.

§4 — S3 gate: the three biggest risks management itself discloses

All three are taken from Arch's own ordered risk-factor summary (10-K FY2025, Item 1A, "RISK FACTORS SUMMARY", bullets 1-4 under Risks Relating to Our Industry, Business and Operations) — i.e. management's own ranking, not this pass's.

  1. Competition. "We operate in a highly competitive environment, and we may not be able to compete successfully in our industry." (Item 1A summary, bullet 1)
  2. Cyclicality — placed second, above catastrophes. "The insurance and reinsurance industry is highly cyclical, and we may at times experience periods characterized by excess underwriting capacity and unfavorable premium rates." (Item 1A summary, bullet 2) This is the cluster thesis stated by the company, in the company's own priority order, and it is the reason the S0 score of 2/4 is read as "cyclical business" rather than "bad company".
  3. Catastrophe volatility. "Claims for natural catastrophic events could cause large losses and substantial volatility in our results of operations and could have a material adverse effect on our financial position and results of operations." (Item 1A summary, bullet 4)

Reserving appears further down the same summary ("Underwriting risks and reserving for losses are based on probabilities and related modeling, which are subject to inherent uncertainties.") and is the auditor's sole critical audit matter: "Valuation of Reserve for Losses and Loss Adjustment Expenses", on a $33.5bn balance. PwC, PCAOB ID 238.

Red-flag sweep. Run against the EDGAR filing index for CIK 947484 back to 2010 rather than via efts.sec.gov full-text: no NT 10-K or NT 10-Q, no UPLOAD or CORRESP (no SEC comment-letter correspondence at all), no 10-K/A and no 10-Q/A. Nine 8-K/A filings, which is ordinary. This is the cleanest filing index of the three names in this slot.

§5 — S5 ownership, and a defect that invalidates a row in every 13F table in this repo

13F holders at 2026-06-30 (threespread.py holders ACGL), top five: BlackRock 30,220,703 sh / $2,933.2m (−1,133,501 QoQ); State Street 16,251,212 / $1,577.3m (+490); BAMCO Inc (Baron) 15,872,450 / $1,540.6m (−837,309); Invesco 4,947,084 (+887,704); Royal Bank of Canada 3,495,371 (−36,673).

⚠️ The quarter is incompletely ingested — 609 filers against 898 for 2026-03-31. Prior holders with no filing in the quarter include both Vanguard entities (45.2m and 14.7m shares), Artisan (22.7m), WCM (12.6m), Geode (10.6m), JPMorgan, Northern Trust, Morgan Stanley and Dimensional. No exit may be read from any of those absences. This is the fourth consecutive slot in which the warning has fired.

13D/G: all 13G, no 13D; no activist and no strategic block.

Proxy (DEF 14A, 2026-03-24, as of 2026-03-09): "All directors and executive officers (17 persons) (22)" hold 11,618,680 common shares = 3.3% of 356,272,841 outstanding; every individual officer is below 1%. Director Brian S. Posner holds 3,000 Series F and 5,000 Series G preferred shares — the only preferred held by any insider.

⚠️⚠️ The Sixth Street row is not a holding. It is Schwab's book, counted twice.

3spread reports Sixth Street Partners Management Company, L.P. as a NEW holder of exactly 2,177,713 ACGL shares ($211.4m) — byte-identical to Charles Schwab Investment Management's line in the same table. The same pair appears in this slot at KNSL (199,715 shares each, $65.9m) and AX (751,934 each, $73.2m), and appeared at QCOM in slot names-ai-capex-2b (22,310,326 each, $4,122.7m), where the run recorded it as an unexplained duplication and did not carry it as a fact. That instinct was right. Here is the cause, traced to the source:

  • Sixth Street's 13F-HR for 2026-06-30, accession 0001752724-26-000051, contains an information-table file named 13F_0000884546_20260630.xml — 2,049,306 bytes. 0000884546 is Charles Schwab Investment Management's CIK. The filer agent attached Schwab's holdings table to Sixth Street's submission.
  • Sixth Street's own cover page in that same accession declares <tableEntryTotal>9</tableEntryTotal> and <tableValueTotal>579182557</tableValueTotal>9 holdings, $579m — against a table holding thousands of rows.
  • Sixth Street filed a 13F-HR/A, amendmentType RESTATEMENT, the same day (2026-08-14, accession 0001752724-26-000055) with the correct 4,662-byte table 13F_0001812095_20260630.xml. Its nine lines are: Atlanta Braves Holdings, Caris Life Sciences (×2), Essent Group, MasterBrand, PG&E, Sixth Street Specialty Lending and Sprinklr (×2). No ACGL, no KNSL, no AX, no QCOM.
  • 3spread has ingested the original and not the restatement.

Consequences for this repository, stated plainly so the next run does not re-derive them: (a) every "Sixth Street Partners Management Company" row in a threespread.py holders output is Schwab's position duplicated and must be dropped; (b) the shares reported total at the top of each table is overstated by that amount; (c) the QCOM scorecard's S5 note, which called it "read as duplication, not carried as a fact", is correct and can now name the cause; (d) this is not a 3spread bug — 3spread faithfully ingested a defective filing — so the fix is to prefer the latest 13F-HR/A for a given manager-quarter, not to distrust the vendor. threespread.py gained a mechanical duplicate-row warning in this commit so the next run is told rather than having to notice.

§6 — S8 valuation and sizing (proposals only — ⏳ OPEN (user))

Price $95.78 at 2026-09-21 (ROIC NASDAQ:ACGL). Shares 340.9m → market cap $32.6bn. Common equity $23,200m ($24,030m less $830m of preferred) → BVPS $68.04, P/B 1.41. ADV $349.7m over the 21 sessions to 2026-09-21. LTM net income $4,692m (FY2025 $4,399m less H1 2025 $1,811m plus H1 2026 $2,104m) → LTM P/E ≈ 7.0x.

Out-year model. The driver is not premium volume — it is the three-part combined ratio, so the model is built on it. Assumptions named so they can be disagreed with: net earned premium −7% in 2026 and −5% a year after; ex-cat ex-PYD combined ratio worsening 1.5 points a year from 82.5%; catastrophe load 6 points; favourable PYD fading from ~4 points to ~1.5 points by 2028 as the short-tail source shrinks; buybacks continuing at ~$2.7bn a year; tax ~14%.

2025A2026E2027E2028E
Net earned premium $m17,06515,90015,10014,350
CR ex-cat ex-PYD~80.5%82.5%84.0%85.5%
Cat + PYD, net pts~+1+2+3.5+4.5
Reported combined ratio~81.5%84.5%87.5%90.0%
Net income to common $m4,359~3,910~3,640~3,380
Average diluted shares m375.9~348~319~291
EPS$11.60~$11.20~$11.40~$11.60
Year-end BVPS$64.5~$72.4~$82.0~$92.3

Note what the model says: EPS is flat for three years while the combined ratio deteriorates 8.5 points, because the buyback shrinks the share count 23% over the period. Per-share earnings hide the cycle; book value per share does not, and it compounds ~11% a year even after the buyback drag.

BasisValue
Bear2028 BVPS $85 (faster reserve strengthening, one bad cat year) at 0.9x~$77
Base2028 BVPS $92.3 at 1.25x, cross-checked at 9x $11.60 EPS = $104~$105
Bull2028 BVPS $95 at 1.45x, cross-checked at 12x EPS~$130

Against $95.78, the base case is +10% over roughly 2.3 years, before a dividend of about 0.1%. That is the sixth name in the last nine in this rotation whose correct operating forecast produces little or no return at the traded price (MRVL, ARM, ASML, CBRS, QCOM, now ACGL), with APH the exception.

Proposed buy price and size: ⏳ OPEN (user). For what it is worth to that decision: ADV of $349.7m/day imposes no liquidity constraint at any size the owner is likely to run, and the shares trade at 1.04x the modelled 2028 book value, which is the least demanding entry arithmetic of the three names in this slot.

§7 — S9 monitoring

  • Next earnings: late October 2026, DERIVED from filing cadence, not scheduled. Q3 results 8-Ks were filed 2025-10-27 and 2024-10-28; the 10-Q followed on 2025-11-06. ROIC.ai's calendar needs a paid plan and Equibles — which gave QCOM a real scheduled date last slot — did not connect this session.
  • Filing feed: the Tier 0 EDGAR sweep already covers CIK 947484 (watch_edgar.py), so a 10-Q, 8-K, 13D/G or Form 4 cluster promotes the name automatically.
  • Leading indicator between quarters: January renewal commentary from the European reinsurers and the retrocession market. Arch's own gross-flat/net-down-10% signature is a pricing statement; if 1/1 2027 property-cat rates fall again, the short-tail release source for 2027 shrinks with them.
  • The specific trigger that converts this to a buy: the long-tailed PYD column returns to zero or better for two consecutive quarters while the ex-cat ex-PYD combined ratio stops rising — i.e. the casualty years stop deteriorating before the property release runs out — with the shares still inside 1.15x book. That combination would mean the cycle risk is priced and the reserve risk has peaked. Neither condition holds today.

§8 — Evidence that is thin, named

  • No earnings-call transcript at all. Equibles did not connect; fool.com has no Q2 2026 ACGL transcript. The Q1 2026 fool.com transcript exists but WebFetch returns a model summary of it, not a locatable span, so it is [search-summary] and is quoted nowhere in this dossier or in relationships.yaml. Management commentary here is entirely from the 8-K release and the filings.
  • No short interest. FINRA is not reachable from this environment and Equibles, the usual route, was down. Four previous name slots had this figure; this one does not.
  • No analyst-coverage count. Standing gap; the cluster pass proposed folding it into the S6 search, which was not re-run for this name.
  • No shelf read. No S-3 appears in the recent filing index, but absence in an index read back to 2025-06 is not proof that no effective shelf exists; ACGL is a WKSI and may have one outside the window read.
  • Proxy compensation structure not extracted — ownership table only. This is the fourth name slot to leave it, and it is now the longest-standing unclosed item in the S3 gate-minimum table.
  • Segment-level 2026 premium detail not read beyond the group table in the release; the cluster file's segment figures (reinsurance NPW −10.4%, insurance −5.1%) are carried from there.

Process support, not investment advice.