Behavioural factor framework — timing and tolls across four investor domains
Section titled “Behavioural factor framework — timing and tolls across four investor domains”Background
Section titled “Background”- Talbot’s reframe (2026-09-29, closing Market-timing-Red-Team, verbatim excerpts):
- “This project should be framed at trying to refine existing rules-of-thumb AND common practices (actual investor behaviour from DALBAR, etc.) in EACH toll domain”:
- new investable money;
- existing invested assets (with equities);
- those with primary objectives different than (only) optimizing for more future wealth (peace of mind, better reward/risk…);
- those leveraging, with and without margin call risks.
- “Much of the Red Team’s adjustments and conclusion modifications appear to be (mostly) based on assessing numeric values and frequencies, without regard to risk and emotional/behavioural factors… EMOTIONAL/ANXIETY/BEHAVIOURAL impacts are NOT addressed even qualitatively.”
- “This is almost a robots vs humans issue… A proper EV calculation SHOULD include a factor for (human) probability of implementation.”
- The behavioural factor
bf(working name): the 0–1 share of a strategy actually implemented. It is a probability across a group, or the actual amount for an individual.- RRSP example: normally FV = PV × (1+i)^n. Talbot’s version, where a refund COULD be invested: FV = PV × (1+i)^n + bf × (PV × TaxRate × (1+i)^n).
- If bf = 0, the refund adds no retirement benefit. That is the typical case: most people spend the $400 refund on a $1,000 contribution. Talbot’s RRSP Refund Strategies education is what changes it.
- Invest vs debt paydown: the key input is the share of freed-up cash flow actually invested once the debt is gone. The usual assumption is 100%, and “only robots would”.
- Margin and leverage: “margin call risk can FORCE magnified losses… the ADDITIONAL toll of financing/carry costs AND EMOTIONAL strain… forced selling at low prices creates a negative flywheel impact, increasing losses for other investors.” This is “the direct link to my help-others SDC mission.”
- Direction: “maybe the timing triggers should be based on this type of (Martin ratio) metric (or better)… Should we explore several different timing formulas that relate to reward/risk or Martin ratios over time? Are there other ‘or better’ metrics?”
- Aim: “I want to be the leader in including the most important and overlooked behavioural (and emotional) factors in most analyzes. This is the real potential value in this initiative.”
- “This project should be framed at trying to refine existing rules-of-thumb AND common practices (actual investor behaviour from DALBAR, etc.) in EACH toll domain”:
- Inputs from the Red Team (settled):
~/projects/cape-timing(README,redteam/).- The latched Valuation + Trend Rule (MT-1, valuation-trend-rule, level 1, Risks pending).
- L11 (“enough, is it wrong to wait?”: waiting is a regime bet; the floor + smaller sleeve option).
- L12 (CAPE drift).
Claude’s initial thoughts (2026-09-29, for Talbot to push on)
Section titled “Claude’s initial thoughts (2026-09-29, for Talbot to push on)”- bf is a function of the path, not a constant.
- Adherence falls exactly when it matters: buy-and-hold investors abandon in deep, long drawdowns, and rule-followers abandon after years of trailing a rising market (the latched rule trailed in 392 of 1,081 periods).
- So model bf(t) = f(drawdown depth and duration, time behind a benchmark, …) and simulate expected realized outcomes. A strategy’s behavioural value is then how much it raises bf on the paths that decide wealth.
- This is where the Martin/Ulcer measure (depth × time underwater) connects: it is a candidate input to bf, and not only a score.
- Two abandonment modes, one framework. “Sell after the crash” (common with buy-and-hold) and “quit the rule after years of lagging” (common with timing rules) are both 1 − bf events. Any claim that “the rule helps behaviourally” must show it lowers the first more than it raises the second.
- Martin-based triggers: beware circularity.
- The realized Martin ratio is backward-looking. A trigger needs an ex-ante estimate: current drawdown and volatility regime, ECY-conditioned expected Martin (the lab’s candidate), or a policy chosen to maximize expected Martin, or a drawdown-penalized utility.
- Candidates to test: volatility-managed exposure; drawdown-control rules; the ECY-conditioned expected-Martin tilt; the latched rule as the baseline. All would be pre-registered, with episode-level evaluation (both Red Team reviews insisted on that).
- The margin domain is different in kind. bf matters less there, because the broker enforces the exit. The tolls are mechanical: the probability of a margin call given the loan-to-value ratio and the decline path, forced sale prices, carry cost and re-entry. The flywheel is a documented market mechanism. Anything at
risk-level >= 2, or that involves borrowing, routes through SDC/Risks first (IP charter). - Evidence for bf values must be sourced. Candidates to check at the source (all unverified until read):
- DALBAR QAIB (whose methodology is disputed);
- Morningstar Mind the Gap (investor-return gap);
- Vanguard Advisor’s Alpha (behavioural-coaching estimate);
- Malmendier & Nagel (2011) Depression Babies;
- RRSP refund-use data (Talbot’s field experience, plus any published survey).
- Framework note: define bf formally (group probability vs individual amount; constant vs path-dependent), and write the four-domain map (new money / existing equity / non-wealth objective / leveraged ± margin). For each domain: the common rule of thumb, actual behaviour (sourced), the tolls (tax, carry, time, emotion), and where bf enters.
- Worked formulas: the RRSP refund (Talbot’s), invest vs debt paydown (the freed-cash-flow share), and the timing rule (EV with bf(path)). Put them in
sd-mathterms, so the lab task can implement them. - Martin-ratio and “or better” trigger study in
cape-timing: 3–6 pre-registered candidate rules, evaluated by episode on expected Martin, drawdown, time behind, and simulated realized wealth under a stated bf(path) model. - Margin/leverage domain analysis: margin-call probability and forced-loss magnification by loan-to-value ratio over historical decline paths; carry cost; the latched rule as pre-decline deleveraging (pre-decline-deleveraging). Route through Risks.
- Red Team the new framework with OpenAI Codex (the headless recipe in
cape-timing/redteam/), then feed results to Market-timing-report-rewrite andsdc-market-timing-lab.
Success Criteria
Section titled “Success Criteria”- bf is defined, named (the CEO confirms or renames it), and shown in at least 3 worked formulas.
- Each of the four domains has a rule of thumb, sourced actual behaviour, tolls, and a place for bf.
- The trigger study compares at least 3 pre-registered rules by episode, including a path-dependent bf simulation.
- The margin domain quantifies forced-sale magnification, and has Risks routing recorded.
- Every external claim is sourced or marked unverified; OpenAI Red Team findings are triaged.
Inherited from Market-timing-Red-Team
Section titled “Inherited from Market-timing-Red-Team”Closed 2026-09-29 after 7 rounds. Log: 2026-09-29_Market-Timing-Red-Team (SDC/IP/Logs/).
- Both Red Team passes are triaged: Claude Opus, then OpenAI GPT-6 Sol via Codex (two runs).
- The latched exit is adopted, and MT-1 is at risk level 1 (Risks sign-off pending).
- L11 (“enough, is it wrong to wait?”) and L12 (CAPE drift) are done.
- Every
Next Steps for Talbotitem was answered; nothing open carries over except the route below.
Path to Completion (rebased)
Section titled “Path to Completion (rebased)”Project SSOT: /home/ta/projects/cape-timing/README.md · \\wsl$\Ubuntu-24.04\home\ta\projects\cape-timing\README.md. Oversight SSOT: that README.
Now: /task-start /mnt/d/FSS/KB/SDC/IP/Tasks/Behavioural-factor-framework.md
Then, in order:
/task-start /mnt/d/FSS/KB/SDC/IP/Tasks/Market-timing-report-rewrite.md: the prose, the core message, and Talbot’s artifact upgrades (item 4b)./model opus, then/task-start /mnt/d/FSS/KB/SDC/IT/Tasks/sdc-market-timing-lab.md: implement bf, the costs including TIME, and the household after-tax and spending-floor tests.
Related open tasks:
- MDW-valuation-trend-offering (
SDC/Offerings/Tasks/) inherits the latched exit, level 1 and the framing. - ai-config-openai-codex-integration (
Core/AI/Tasks/) is startable now.
Blocked on you: MT-1 Risks sign-off at level 1, and supervisor pre-approval before public use.
Done when: bf is defined and applied in the worked formulas, the four domains are mapped, the trigger and margin studies are Red-Teamed, and the rewrite and lab tasks have absorbed the results.
Claude Response — 2026-09-29
Section titled “Claude Response — 2026-09-29”Frontmatter: rock: 1 (it ladders to Rock #1, the Market Timing solution). category was changed from Strategy to Development, following that Rock’s category per the /task-start §4c rule. Change it back if you prefer.
Summary:
- Framework note written:
Behavioural-Factor-bf.md, a draft in the new folderSDC/IP/Frameworks/. It covers:- bf’s definition: group vs individual, constant vs path-dependent;
- E[V] = bf·V(implemented) + (1−bf)·V(fallback), plus the two conditions it needs;
- the four-domain map;
- an evidence register in which every external figure is marked verified, via the research note, or unverified.
- ⚠ One success criterion is not fully met: Domain 3 (non-wealth objectives) has no sourced “actual behaviour”. No source located measures abandonment by investor objective, and the note says so rather than filling the gap.
- Pre-registration deviations still open: bf results and equity outcomes by named crash episode (they are reported by decade block). Queued for the lab task and logged in the pre-registration.
- The honest headline: the big, well-measured behavioural effects are at the implement/contribute decision, not the hold/timing decision:
- 86% of intending savers had made no change 4 months later;
- self-serve take-up is 4–10%, against 55–83% when the action arrives done;
- forced amortization had an elasticity of 0.993. The measured timing cost is only 0.10%/yr (Fulkerson et al., FAJ 2026). Your “leader in behavioural factors” claim is strongest in Domain 1 (refunds, freed cash flow).
- Worked formulas, in
sd-mathterms:- The RRSP refund: your formula verbatim, plus flagged extensions. When the refund goes back into the RRSP, the recursion gives FV = PV(1+i)^n / (1 − bf·t); at bf = 1 that is exactly your gross-up refund.
sd-math’srrsp.pyalready has the bf = 0 and bf = 1 endpoints (spend_refund/reinvest_refund). The note proposes arefund_invest_ratiofield.distrib_reinvest_ratiois already a bf. - Debt vs invest: see the Red Team item below; this headline changed.
- Timing EV with bf(path): a
BehaviourModelspec.
- The RRSP refund: your formula verbatim, plus flagged extensions. When the refund goes back into the RRSP, the recursion gives FV = PV(1+i)^n / (1 − bf·t); at bf = 1 that is exactly your gross-up refund.
- Study A (pre-registered, commit
6db45dbbefore any run): 4 candidates were tested: volatility-managed, drawdown brake, expected-Martin tilt, and expected-Martin + latched trend. None beats MT-1. The results under bf(path):- MT-1’s behavioural value is real but modest: implied drag −1.10%/yr vs −1.27%/yr for buy-and-hold at a high panic hazard.
- Trend-only halves the drag (−0.64%/yr), but costs return.
- MT-1’s robust gain is the tail: 10th-percentile wealth 1.06x vs 0.85x cash.
- The fallback matters more than bf. A rule-quitter who goes to buy-and-hold loses little; a panic-seller who goes to cash loses a lot.
- Study B (margin, pre-registered):
- Margin leaves the median alone and wrecks the tail. At a 33% loan-to-value with bank-broker pricing, the 10th percentile falls from 0.93 to 0.59. The forced sale locks in the loss: median terminal equity 0.48 vs 0.82 without calls.
- MT-1 used as a pre-decline deleveraging trigger cuts calls from 16% to 7% and restores the 10th percentile to 0.97.
- At a 50% loan-to-value it helps much less (38% to 31%), because re-levering exposes the account to the next leg down. A loan-to-value ceiling is the primary control.
- Routed to Risks via
SDC/Risks/Inbox.md. Not signed off.
- Red Team pass 4 (OpenAI GPT-6 Sol via Codex): it reproduced every key number. All 6 findings were accepted; triage is in the note §10. Two headlines changed:
- The debt-vs-invest “break-even bf 0.98” was rigged by an asymmetric assumption: the invest-now side was given adherence 1. At matched adherence (0.8), debt-first wins by $1,666. The real lesson: automate the freed cash flow the moment the debt disappears, whichever plan is chosen.
- “MT-1 raises realized bf” is withdrawn. It came from a miscount, now fixed. Realized bf isn’t comparable across strategies with different fallbacks.
- Also fixed: trading cost inside the simulation, the fee-inclusive margin sale, and the pre-registered outputs that had been missing. The “calibration anchor” is withdrawn: the hazards stay uncalibrated.
- Commits:
- cape-timing:
6db45db569c920e5f29e033e9e767ad7e9b747bdca; - KB:
919bd74,ddc1ce1, plus this round’s final commit. - Later cape-timing commit:
08b58b5(Study B breakdowns, an accurate deviations log). - Render check: Obsidian wasn’t running, so
obsidian-render-checkcouldn’t run. Instead: bare paired$were escaped (the LaTeX trap), andmarkdownlint-cli2is clean apart from line-length and single-H1. - The Codex recipe in
AI-Dev-Workflow.mdgained--skip-git-repo-check; without it, codex exits 1 on agit archivecopy.
- cape-timing:
Next Steps for Talbot:
-
Name it: keep bf (“behavioural factor”), or rename? Candidates: implementation factor, follow-through rate.
- keep bf
-
Debt vs invest, confirm the reframe. The defensible claim is “the freed cash flow must be automated”, not “invest instead of repaying”. OK to carry into the report rewrite and the lab?
- These were simply examples of how bf can be the most important factor. They are not related to this market timing research.
-
RRSP refund use: the IG “57% treat / 47% reinvest” survey could not be found at the source. Do you have a citable source, or field data from your own practice?
- my own experience. Not a factor for timing research.
-
Your formula’s extensions (§5.1): confirm that refund lag, the destination (TFSA / taxable / back into RRSP) and withdrawal tax should be explicit inputs.
- Not a factor for timing research.
-
Location: the note sits in a new folder,
SDC/IP/Frameworks/, which the IP charter’s Outputs list doesn’t include. Approve it, or name another home?- It belongs as part of the original SDC/IP/Tasks folder. Put it back.
-
Codex’s decisive test: a prospective, randomized field trial of automating the freed debt payment (3,000 households, partner advisor firms). It is the one way to measure bf rather than assume it. Park it, or pursue it as an SDC partnership offer?
- Not a factor for timing research.
Path to Completion
Section titled “Path to Completion”Review it: Behavioural-Factor-bf.md: vscode://file/D:/FSS/KB/SDC/IP/Frameworks/Behavioural-Factor-bf.md. Read §1–3, §5.2, §5b, §6 and §10 (the corrections).
Project SSOT: /home/ta/projects/cape-timing/README.md · \\wsl$\Ubuntu-24.04\home\ta\projects\cape-timing\README.md (current state, run order, Red Team history). Oversight SSOT: that README.
Now: /task-continue /mnt/d/FSS/KB/SDC/IP/Tasks/Behavioural-factor-framework.md. Run it after answering the 6 items above; it applies your naming and framing decisions, then readies the task to close.
Then, in order:
/task-complete /mnt/d/FSS/KB/SDC/IP/Tasks/Behavioural-factor-framework.md: closes the task and logs toSDC/IP/Logs/./task-start /mnt/d/FSS/KB/SDC/IP/Tasks/Market-timing-report-rewrite.md: the prose absorbs bf, the fallback lesson and the corrected MT-1 claims./model fable, then/task-start /mnt/d/FSS/KB/SDC/IT/Tasks/sdc-market-timing-lab.md: implementBehaviourModel,refund_invest_ratio, time-behind as a metric, and the household tests.
Related open tasks (parallel work, not choices):
MDW-valuation-trend-offering: startable now,/task-start /mnt/d/FSS/KB/SDC/Offerings/Tasks/MDW-valuation-trend-offering.md. It should take in §6’s leverage finding.sdc-behavioural-solutions-debt: startable now,/task-start /mnt/d/FSS/KB/SDC/Strategy/Tasks/sdc-behavioural-solutions-debt.md. It sets the intervention ceilings that decide how hard SDC may push bf.
Blocked on you:
- The Risks review of the leverage domain (in the Risks Inbox) and the pending MT-1 level-1 sign-off: Risk-Challenger, then CEO.
Done when: bf is named, the 6 decisions above are applied to the note, the task is closed, and the report rewrite and the lab task have absorbed the note.
Talbot Response
Section titled “Talbot Response”- It appears that this has gone off the direction of researching market timing and possible solutions that are not based on traditional future value metrics. And trying to account for the emotional behavioral factors. Again directly related to market timing challenges and possible solutions. I don’t see any discussion about using different timing signals that are related to even the Martin ratio, perhaps re-entering equities when say the ECY hits an acceptable threshold (representing a better reward/risk environment).
- Re-examine the original premise and see if you can move more in the desired direction of continuing market timing research on four (or more) domains.
Claude Response — 2026-09-29 (round 2)
Section titled “Claude Response — 2026-09-29 (round 2)”Your redirect was right. Round 1 read Domain 1 as refunds and freed cash flow, which pulled the work off market timing. This round is the timing research you asked for: Study C, reward/risk (ECY) timing signals in all four domains. It was pre-registered before any outcome was computed (cape-timing 45a6a12; results 4b5d84f).
Summary:
- The fact that makes your ECY re-entry idea viable:
- ECY (1/CAPE minus the real 10-year yield) does not drift the way CAPE does. It was at or above its 25th percentile in 143 of 165 months since 2013, because low real rates offset high CAPE.
- So an ECY wait never failed to re-enter within 10 years, against 27–33% never re-entering for the CAPE wait (L11).
- It was verified to be computable in real time: it exactly equals 1/CAPE − (10-yr yield − trailing 10-yr inflation).
- Today it is at about the 19th percentile (“marginal”).
- Domain 1, new money at high valuations: ✅ your idea passes.
- From starts with ECY below the 25th percentile, investing at once has a certainty equivalent of 0.93, meaning a moderately risk-averse investor would prefer cash.
- Waiting in bills for ECY ≥ 25th scores 1.05, and improves the 10th percentile from 0.71 to 0.79.
- Robust form: half now, half when ECY ≥ 25th. It passes at both the 1- and 3-month lag.
- The limit: ECY reaches its 25th percentile during crashes, not at the bottoms. A wait deployed in Dec 1929 after −32%, then the market fell −76% more. It deployed in Oct 2001 after −31%, then −20% more. In 2007 it gave no warning at all. So waiting protects the typical expensive decade, not the crash.
- Domain 2, existing equity: ❌ no ECY rule beats MT-1 (5 tested: ECY hysteresis, MT-1 exit with ECY-or-trend re-entry, ECY-armed trend, and a continuous ECY tilt).
- The reason is the same: valuation tells you the decade’s reward/risk, not the path. ECY re-entry catches the falling knife: worst drawdown −75% to −78%, vs MT-1’s −62%.
- One behavioural plus: MT-1’s exit with ECY-or-trend re-entry had the best realized wealth under simulated abandonment (2.19 vs 2.17 at the central cell). Faster re-entry means fewer years behind, so followers are less likely to quit.
- Domain 3, the “enough” investor: a permanent sleeve sized by ECY (40% stocks, 70% when ECY ≥ 25th) beats the CAPE wait on every column except Ulcer (0.20 vs 0.19): median real end 0.91 vs 0.76, 0% never re-entered vs 27%.
- An all-in ECY wait has the worst floor-breach rate (75%).
- Use ECY to size the sleeve, not as an in/out switch.
- Domain 4, leverage: re-levering only when ECY ≥ 25th changes almost nothing; valuation-only deleveraging is worse. MT-1 deleveraging stands, and the loan-to-value ceiling remains the main control.
- The note was restructured and moved back to
SDC/IP/Tasks/, as you asked; the emptyFrameworks/folder was removed.- It is retitled Market Timing Across Four Investor Domains, and Study C now leads.
- The RRSP and debt examples moved to a labelled Appendix A (outside market timing).
- bf stays as the name, as a supporting lens. The “leader claim strongest on refunds” headline is withdrawn.
- Your answers applied:
- bf is kept.
- The RRSP source, the formula extensions and the field trial are all parked as not timing factors. Nothing further is done on them.
- Commits:
- cape-timing:
45a6a12(pre-registration),4b5d84f(Study C + deviations),9ad034f(README). - KB: this round’s commit.
- The markdown linter is clean apart from line length and the page title, and no paired
$remain.
- cape-timing:
Next Steps for Talbot:
-
[ ] New money (Domain 1): adopt “half now, half when ECY ≥ 25th” as the candidate rule for the report rewrite and MDW? It is the one ECY form that passed at both lags.
Section titled “[ ] New money (Domain 1): adopt “half now, half when ECY ≥ 25th” as the candidate rule for the report rewrite and MDW? It is the one ECY form that passed at both lags.” -
Next “or better” candidates to pre-register, tested in Domains 1–2 only:
- (a) re-enter on trend up and ECY ≥ 25th after a valuation-armed exit;
- (b) a drawdown-aware ECY: acceptable ECY and a completed decline of at least 20%. Run them next round, or hand them to the lab task?
-
[ ] Red Team Study C with Codex before the report rewrite uses it? About 15 minutes, headless. Recommended: the new-money result is the headline, and it has only 165 starts across a handful of episodes.
Section titled “[ ] Red Team Study C with Codex before the report rewrite uses it? About 15 minutes, headless. Recommended: the new-money result is the headline, and it has only 165 starts across a handful of episodes.” -
[ ] A side effect of the move:
Section titled “[ ] A side effect of the move: Behavioural-Factor-bf.md now sits in Tasks/. The dashboards’ /Tasks/ filter, and /task-start with no argument, will treat it as a task. OK as is, or should the note get status: reference frontmatter so the task views skip it?”Behavioural-Factor-bf.mdnow sits inTasks/. The dashboards’/Tasks/filter, and/task-startwith no argument, will treat it as a task. OK as is, or should the note getstatus: referencefrontmatter so the task views skip it?
Path to Completion
Section titled “Path to Completion”Review it: Behavioural-Factor-bf.md: vscode://file/D:/FSS/KB/SDC/IP/Tasks/Behavioural-Factor-bf.md. Read §0 (Study C: the domain tables and “What this round establishes”).
Project SSOT: /home/ta/projects/cape-timing/README.md · \\wsl$\Ubuntu-24.04\home\ta\projects\cape-timing\README.md. Oversight SSOT: that README.
Now: /task-continue /mnt/d/FSS/KB/SDC/IP/Tasks/Behavioural-factor-framework.md. Run it after answering the 4 items. If you say yes to the Red Team, it runs Codex on Study C and triages the result.
Then, in order:
/task-complete /mnt/d/FSS/KB/SDC/IP/Tasks/Behavioural-factor-framework.md: closes the task; the log goes toSDC/IP/Logs/./task-start /mnt/d/FSS/KB/SDC/IP/Tasks/Market-timing-report-rewrite.md: adds the four-domain findings (new-money ECY rule, “valuation arms, trend re-enters”, the ECY sleeve)./model fable, then/task-start /mnt/d/FSS/KB/SDC/IT/Tasks/sdc-market-timing-lab.md: puts the Study C rules and the bf model into the lab.
Related open tasks (parallel work, not choices):
MDW-valuation-trend-offering: startable now,/task-start /mnt/d/FSS/KB/SDC/Offerings/Tasks/MDW-valuation-trend-offering.md.
Blocked on you:
- The Risks review of the leverage findings (Risks Inbox) and the MT-1 level-1 sign-off: Risk-Challenger, then CEO.
Done when: you have ruled on the new-money rule and the next candidates, Study C has been Red-Teamed (or you have waived it), and the task is closed with its successors named.