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arXiv:2609.05905 ★ 84 Sep 5, 2026

AuditForecast: splits a forecast into a precise base rate and separate adjustments, instead of blending everything into one big guess

Key result

Ask an LLM the probability of the same event twice and you'll get two different numbers: 55% and 75%. No logic involved, just guessing dressed up as expertise. AuditForecast lets you get a stable, checkable forecast that doesn't shift from question to question and that can be challenged step by step. The method separates the base rate from individual news-based adjustments — each adjustment gets its own multiplier, and at the end all the odds are simply multiplied together.

01

TL;DR

AuditForecast is a technique that makes an LLM first calculate a base rate using a clear model or historical statistics, and then layer on separate adjustments for specific news items and factors — each adjustment as its own number, not part of a vague overall impression. The final forecast isn't a guess anymore, it's a multiplication: base odds × adjustment1 × adjustment2 × ...

When you ask an LLM (or a human analyst) to estimate the probability of an event, they typically list arguments for and against in prose, then spit out a number — 65%, just because it "felt right." Ask the same question again and you'll get 55% or 75% — no stability, no way to trace where the number came from. Worse: the same fact can quietly get counted twice — once baked into the overall impression, once as a separate argument — and the final confidence ends up inflated.

AuditForecast fixes this in three steps: first it locks in a base rate from a clear model or a reference class of similar cases, then it separately hunts for factors that base rate did NOT account for and assigns each one a multiplier ("pushes toward YES," "pushes toward NO," or "neutral"), and finally all the multipliers get mechanically multiplied against the base odds.

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02

Method Blueprint

STEP 1 (Base rate): 
Define a reference model / base statistic for the question → p0 (a number from 0 to 1)

STEP 2 (Find factors outside the base):
Find factors that the model from Step 1 does NOT account for
→ check "is this really outside the base?" (scope check)
→ check "does this factor duplicate one already counted?" (independence check)
→ list of distinct factors with supporting evidence

STEP 3 (Score and multiply):
Assign each factor a multiplier:
  >1 = pushes toward "YES"
  <1 = pushes toward "NO"  
  =1 = neutral
→ Final odds = (base odds) × (multiplier1) × (multiplier2) × ...
→ Convert the odds back into a probability

All three steps can be run in a single prompt — the LLM is capable of reasoning through this structure step by step, no external tools required.

03

Example

Task: Estimate the probability that the Fed will cut interest rates at its next meeting — the classic question that floods every finance Twitter/X feed before each meeting.

Prompt:

Estimate the probability that the Fed will cut interest rates at its next meeting.
Follow this structure:

STEP 1. BASE RATE:
Define a reasonable base model — for example, the analyst consensus forecast,
or the historical frequency of rate cuts under similar inflation conditions.
Give the base probability p0 and explain what it's based on.

STEP 2. FACTORS OUTSIDE THE BASE:
List factors this base estimate does NOT yet account for —
for example, recent Fed official statements, fresh inflation data,
the dollar index movement over the past week.
For each factor, check:
— Is this really not already covered by the base estimate?
— Does this factor duplicate one already listed?

STEP 3. MULTIPLIERS AND FINAL RESULT:
Give each factor a multiplier: 
>1 if it increases the probability of a cut, <1 if it decreases it, 
=1 if neutral. Justify each number.
Convert the base probability into odds (p/(1-p)), multiply by all multipliers, 
convert back into a probability. Show the full calculation.

Result: The model produces a structured report in three parts: first the base probability with justification (e.g., "analyst consensus puts it at 30%"), then a list of 2-4 factors with explicit numeric multipliers and an explanation for each, and finally an open calculation (odds × multipliers = final odds → final probability). You get more than just a number — you see the entire path to it, and you can push back on any single step.

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Why It Works

When an LLM is simply asked to "give a probability," it blends all the arguments into one vague impression — much like a person who weighs a pile of pros and cons in their head and names a number that just "feels right." The problem is that such a number is unstable and opaque: ask again and you'll get a different one, and no one can explain why.

What LLMs are actually good at is narrow, concrete sub-tasks: naming a base statistic, scoring one factor in isolation, comparing it against factors already named. Each of these mini-tasks isn't a "vague impression" — it's a concrete decision with clear inputs.

The method takes this strength and builds a process around it: instead of one big fuzzy estimate, you get a chain of small, precise decisions (which base? which factor? which multiplier?) that then get mechanically multiplied together. A mistake in one step is easy to spot and fix; a mistake baked into an overall "impression" is impossible to even detect.

Control levers: - Rigor of the base model — for simple questions, "historical frequency of similar cases" is enough; for complex ones, ask the LLM to explicitly spell out a formula or model. - Number of factors — cap it at 2-3 for a quick estimate; allow more for a high-stakes decision. - Multiplier scale — set your own: for example, "use only 0.5/1/1.5/2/3" instead of arbitrary numbers — this makes it much easier to compare factors against each other. - Independence check — if you notice two factors are essentially describing the same thing (say, "rising inflation" and "the Fed's rhetoric about inflation"), explicitly ask the model to merge them — otherwise the probability can get skewed in one direction.

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Prompt Template

Estimate the probability of the following event: {question about a future event}.
Follow this structure, don't blend the steps together:

STEP 1. BASE RATE:
Find a suitable base model or reference class of similar cases 
for this question. Give the base probability p0 and explain what it's based on.
If {additional data} is available, use it in the calculation.

STEP 2. FACTORS OUTSIDE THE BASE:
List factors the base estimate hasn't accounted for yet.
For each factor, check:
— Is this really not already part of the Step 1 base estimate?
— Does this factor duplicate one already listed?

STEP 3. MULTIPLIERS AND FINAL RESULT:
Give each factor a multiplier to the odds:
>1 pushes toward "yes," <1 pushes toward "no," =1 neutral. Justify the numbers.
Convert p0 into odds, multiply by all the multipliers, convert back into a probability.
Show the full calculation explicitly.

Fill in: {question about a future event} — a specific binary event with a date attached (not "will the company be successful" but "will the company turn a profit by year end"); {additional data} — any numbers you have on hand (exchange rates, statistics, reports).

🚀 Quick start — paste this into the chat:

Here's a template for AuditForecast structured forecasting. Adapt it to 
my task: {describe your question about a future event}.
Ask me questions to fill in the fields.

[paste the template above]

The LLM will ask which base model makes sense for your specific question and whether you have any fresh data — because Step 1 can't be done accurately without that. After clarifying, it will walk you through all three steps using your actual data.

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Limitations

⚠️ You need an explicit numeric or reference anchor. The method works worse for questions with no natural base model — for example, subjective judgments ("will this movie be good"). In such cases, Step 1 degenerates into the same kind of guessing the method is supposed to eliminate.

⚠️ The risk of double-counting rests on the quality of the check. If the LLM misses that a Step 2 factor is already "hidden" inside the Step 1 base model, the multiplier will double-count the same argument and inflate confidence. Explicitly ask the model to re-verify this for every factor.

⚠️ The accuracy of the base rate depends on how current the model's knowledge is. In the study, the model pulled up-to-date data via real-time web search. In an ordinary chat without internet access, the base probability may rest on stale data — for fast-moving topics (exchange rates, breaking news), feed it fresh information yourself.

07

Resources

AuditForecast: A Structured Scaffold for Agentic Forecasting — Yuanpu Cao, Yongkang Du, Yurui Chang, Lu Lin, Jinghui Chen, Pennsylvania State University. Tested on live forecasting platforms Polymarket and Kalshi (via ProphetArena), plus the FutureX benchmark, using GPT-5.4, GPT-5.4-mini, and Gemini-3-flash.

Research digest

Key result

Ask an LLM the probability of the same event twice and you'll get two different numbers: 55% and 75%. No logic involved, just guessing dressed up as expertise. AuditForecast lets you get a stable, checkable forecast that doesn't shift from question to question and that can be challenged step by step. The method separates the base rate from individual news-based adjustments — each adjustment gets its own multiplier, and at the end all the odds are simply multiplied together.

Principle

Three steps, no mixing. First, the base rate — the historical frequency of similar cases or a consensus forecast, a number between 0 and 1. Then a list of factors this base doesn't already account for — checked to make sure none repeats one already named. Then each factor gets a multiplier applied to the odds: greater than 1 strengthens 'yes', less than 1 strengthens 'no'. No overall gut feeling — just a chain of small, precise decisions multiplied together at the end.

Why it works

LLMs are bad at guessing an overall probability — dozens of factors blur together in their 'head' into one vague number that just 'sounds right'. But naming a single piece of base-rate statistics or evaluating one specific factor is a narrow task the model handles accurately. A mistake in one step is easy to spot and fix; a mistake in an overall impression is impossible to even notice. The method turns one big guess into a set of small, checkable decisions.

When to apply

Probability estimation → binary events with a specific date: will the central bank cut rates at its next meeting, will the company turn a profit by year-end, will a competitor overtake it on some metric this quarter. Especially valuable when the decision is costly and you need to explain the logic to others — or to yourself a week from now. NOT suited for subjective judgments without an underlying base model — 'will this movie be good' turns step 1 into the same kind of guesswork the method is supposed to eliminate.

Mini recipe

1. Lock in the base rate: the historical frequency of similar cases or an analyst consensus forecast — give a number p0 and explain what it's based on. 2. Find factors outside the base: what the base rate definitely doesn't account for — fresh news, statements, this week's data. Check each one against what's already been named to avoid duplicates. 3. Assign multipliers: greater than 1 strengthens 'yes', less than 1 strengthens 'no', equal to 1 is neutral. Set your scale in advance (e.g., only 0.5/1/1.5/2/3) — that makes factors easier to compare. 4. Multiply the odds: convert p0 into odds (p/(1-p)), multiply by all the multipliers, then convert back into a probability. Show the entire calculation explicitly.

Examples

[BAD]: `What's the probability the central bank will cut rates at its next meeting?` [GOOD]: `Estimate the probability of a central bank rate cut. STEP 1: give a base probability from analyst consensus forecasts or the historical frequency of similar cases. STEP 2: list factors outside the base rate (recent central bank statements, fresh inflation data, exchange rate), checking each for duplication. STEP 3: assign a multiplier to each factor (>1 strengthens yes, <1 strengthens no), multiply the odds together, and show the full calculation.`

In plain words

When you ask an LLM to estimate the probability of an event, it's basically guessing based on overall vibes. The model dumps news, rumors, and facts into one pile and spits out a number that just "sounds authoritative." That's total nonsense: ask it three times in a row and you'll get three completely different forecasts, because inside the network you just got a plain old narrative hallucination that can't be verified.

It's like eyeballing car damage: the mechanic squints, scratches his head, and mutters "eh, call it three grand." A real appraiser instead starts from the base cost of the part and builds an estimate around specific damage. What you end up with is a clear calculation, not someone's confident-sounding fantasy.

The AuditForecast method breaks this habit and forces the model to calculate instead of narrate. First, the AI locks in base rates from historical statistics — say, how often a central bank actually changes rates under similar conditions. Then, for every real-world news event, the model applies a numerical adjustment: bad data comes out, multiply by 0.7; inflation drops, multiply by 1.3. The final result is built through strict multiplication of these coefficients.

It was tested on financial decisions like central bank rate calls, but the principle is universal. The method handles uncertainty the same way for feature-launch risk assessments, startup scoring, or geopolitical forecasts — anywhere the cost of being wrong is too high. The era of blindly trusting prompts is ending, and auditable analytics is taking over.

Bottom line: stop trying to squeeze abstract probabilities out of models through "expert reasoning" — demand a base rate and clear multipliers instead. Transparent math always beats convincing chatter. Whoever switches to structured forecasting gets a tool that actually works, while everyone else keeps burning budget on beautifully worded nonsense.

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Based on AuditForecast: splits a forecast into a precise base rate and separate adjustments, instead of blending everything into one big guess arXiv:2609.05905

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