NOSTRADAMUS · Position Analytics Engine

SIMULATOR Will Elon Musk post 60-79 tweets from June 12 to June 19, 2026?

A live, interactive instrument for dissecting a single binary position. Sweep the inputs and watch every indicator recompute — payoff geometry, Kelly growth, Bayesian posterior, KL divergence, cost waterfall, Monte-Carlo equity fan, forecast calibration. Companion to the live /feed/pm-elon-musk-of-tweets-june-12-june-19-60-79 page.

▲ YES EDGE · +0.018 · f★ 1.8% · deploy 0.9% · net 1.03pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0178@ model P(YES) = 0.023
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.005model 0.023YES resolution priceP/L per $1 contract
P/L per sharemarket pricemodel Pprofit zoneloss zone
Profit is linear in the eventual settlement price.
Kelly growth curve · g(f) with f★ and deployed f markers
f★ = 1.79% · g(f★) = 1.606%deploy 0.90% · g = 1.370%
-6.82%-4.65%-2.49%-0.32%1.85%0%8%16%24%32%40%f★ optimumdeployfraction of bankroll fexpected log-growth g(f)
g(f)f★ optimumdeployed fgrowth zone
Underbet leaves growth on the table; overbet destroys capital. The interior maximum is f★.

§2 · The trade ticket

Trade ticket · dollar outcomes at this stake
YES @ 0.005 · EV +$728stake $224 · 0.90% of bankroll
Deployed stakestake
$224
0.90% of bankroll
Sharesunits
40,779
each pays $1 if YES
Max payoutwin
$40,779
gross, if win
Max profitwin
+$40,555
net of cost
Max losslose
-$224
binary settles to $0
Payout multiple×
×181.82
$1 → $181.82
Risk:RewardR:R
180.82 : 1
win $180.82 per $1
Expected P/LE[P/L]
+$728
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)2.3%+$40,555+$947
Resolves against (lose)97.7%-$224-$219
Expected value100.0%+$728
What you actually win and lose. The bottom table tabulates probability-weighted P/L by outcome.

§3 · Break-even & cushion

Break-even & cushion · margin of safety
Cushion +1.8 pprelative edge +324.4%
Required win ratebreak-even
0.5%
price = implied probability
Model win rateP(win)
2.3%
what you forecast
Cushionedge
+1.8 pp
margin of safety
Fair pricemodel
0.023
where you think it should trade
-60-3003060020406080100you @ 0.5%market price (%)cushion (pp)
The market price equals the win rate you must beat to make money.

§4 · Odds conversion

Implied probability, decimal, American, fractional
Implied probabilityP
0.5%
= price
Decimal oddsEU
181.818
total return per $1
AmericanUS
+18082
$100 wins $18082
FractionalUK
180.82 / 1
profit per $1 risked
Profit per $100stake
+$18081.82
clean dollar framing
-1000-5000+500+1000020406080100you · 0.5%implied probability (%)American odds
underdog (+)favorite (-)your price
Five views of the same number.

§4b · Time & annualized return

Time & APR · capital lockup vs annualized return
APR 5639% · APY 8166047105857%ROI 324.4% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+324.4%
APR (simple)scaled
+5639%
ROI × 365/days
APY (compounded)if redeployed
+8166047105857%
(1+ROI)^(365/d) − 1
Daily expectedper day
+7.13%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
0%1796530363289%3593060726577%5389591089866%7186121453155%8982651816443%121416180100120now 21ddays to resolutionannualized return (capped 1000%)
simple APRcompounded APYyour horizon
Rank positions by APR, not raw ROI. A thin edge tomorrow beats a fat edge next year.

§5 · Costs & net edge

Cost waterfall · gross edge → net of friction
Net edge +1.03 pperosion 42% · break-even w/ fees 1.3%
-0.1pp0.4pp0.9pp1.4pp1.8pp2.3pp+1.78Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee+1.03Net edgeEV / share (pp)
gross edgefrictionnet edgefee 0 bps · spread 1.50¢
The number that decides whether to trade.

§6 · Sizing menu

Sizing menu · disciplined deployment
Full Kellyf★
$449
1.79% · g = 1.606%
Half Kelly½ f★
$224
0.90% · g = 1.370%
Quarter Kelly¼ f★
$112
0.45% · g = 0.947%
Flat 1%1%
$250
1.00% · g = 1.429%
Flat 2%2%
$500
2.00% · g = 1.598%
Flat 5%5%
$1,250
5.00% · g = 0.375%
Recommended¼ f★
$112
survives model error
$0$369$738$1,106$1,475$449Full Kelly1.79%$224Half Kelly0.90%$112Quarter Kelly0.45%$250Flat 1%1.00%$500Flat 2%2.00%$1,250Flat 5%5.00%
Quarter-Kelly is the industry default — survives model error far better than full Kelly.

§7 · Information theory

Binary entropy · uncertainty in bits
Market entropyH(p)
0.049 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.160 bit
Δ +0.111 bit vs market
Surprise · YES−log₂ p
7.51 bit
self-information
Surprise · NO−log₂(1−p)
0.01 bit
self-information
0.000.260.530.791.050.00.20.40.60.81.0marketmodelprobabilityH (bits)
H(p) peaks at p = 0.5 (one bit of irreducible doubt).
KL divergence · upper bound on exploitable edge
NOISE · D_KL(q ‖ p) = 0.0161 nat (0.0232 bit)belief ≈ market — stand down
-0.022-0.0060.0110.0270.0440.0337YES branch-0.0177NO branchΣKL = 0.0161 natKL contribution (nat)
YES contributionNO contributionbelief ‖ marketnoise
Zero KL ⇒ you know nothing the crowd doesn't.

§8 · Bayesian inference

Bayesian posterior · prior + evidence → belief with 95% CI
MARKET PRICE INSIDE 95% CIposterior μ 0.023 · CI [0.00, 0.27] · κ 5.3
Posterior meanE[θ]
0.023
Beta(0.1, 5.2)
95% credible intervalHDI
[0.00, 0.27]
price INSIDE → weak edge
Concentrationκ
5.3
pseudo-obs behind belief
Disagreementvs crowd
+0.3 pp
posterior − price
0.000.200.400.600.801.00marketposterior μprobability θposterior density
market prior (dashed)model posterior95% credible bandmarket price
When the market price falls outside the 95% credible interval, your disagreement is statistically meaningful.

§9 · Tail risk · Monte-Carlo (mode A · single position to resolution)

Mark-to-market MC · single position held to resolution
E[P/L] +309.1% · P(YES) 2.3% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+309.09%
P(YES) empiricalq
2.3%
Best pathmax
+18081.8%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 0.5¢model q 2.3¢bars until resolutionprice path
median path25/75 + 5/95 bandsentry pricemodel q
Logit-space mean-reverting walk + terminal flip with probability q. Answers: 'what happens to THIS one position'. Distinct from the repeated-edge fan below.

§9b · Tail risk · Monte-Carlo (mode B · repeated independent edges)

Monte-Carlo equity fan · this profile, repeated 400× independently
Median CAGR/bet 3.20% · ruin rate 2.5%400 paths × 120 bets · f deploy 0.90%
Sharpe / betμ/σ
0.187
μ 6.21% · σ 33.3%
Sortino / betμ/σ↓
6.924
downside-only denominator
VaR 95%5%
-0.9%
per-bet worst-case
CVaR 95%ES
-0.9%
mean tail loss
Max drawdownMDD
-20.2%
Calmar 0.16
Ruin rate≤50%
2.5%
P(equity ever ≤ 50%)
0.55×473.95×947.36×1420.76×1894.17×2367.58×020406080100120startruin 50%bet #bankroll multiple
median25/75 band5/95 bandruin line
Answers a different question: 'if I could find this exact edge forever, what is the bankroll trajectory'. Compounds 120 sequential resolutions which is NOT what happens to a single position.

§10 · Base-rate & macro context

Probability stack · base rate vs crowd vs model
ANCHORED · supported by convictionanchor gap -49.6pp · crowd gap -51.4pp
0%20%40%60%80%100%Reference base rate51.9%Market price0.5%Model P(YES)2.3%
Anchor gapmodel − base
-49.6 pp
Crowd gapprice − base
-51.4 pp
Verdictdiscipline
ANCHORED
Reference-class anchoring prevents narrative-driven blowups.

§11 · Forecast quality (synthetic ledger)

Brier · Murphy decomposition · reliability · ROC
SKILL POSITIVE · in-sample BSS 20.6% · AUC 0.769out-of-sample BSS (5-fold) 20.8% ± 2.9% · Brier 0.1985 · log-loss 0.5991 · n 1600n = 1600
BrierBS
0.1985
lower = better · ō 0.50
BSSvs base
20.6%
improvement over base rate
ReliabilityREL
0.0041
miscalibration · want ↓
ResolutionRES
0.0556
decisiveness · want ↑
Log lossLL
0.5991
cross-entropy
AUCROC
0.769
0.5 coin · 1.0 oracle
0.00.20.40.60.81.00.00.20.40.60.81.0stated probability fobserved frequency ō0.00.20.40.60.81.00.00.20.40.60.81.0AUC = 0.769false positive ratetrue positive rate0.0000.0750.1500.2250.3000.250UNC0.056RES0.004REL0.199BRIERcontribution
calibration curveROCUNC (irreducible)RES (skill, ↑)REL (miscalib, ↓)
Computed on a seeded synthetic forecast ledger. Reseed (⟳) to redraw.

§12 · Journal vitals (synthetic ledger)

Track record · win rate · PF · expectancy · CLV · equity curve
BLEEDING · PF 0.99 · expectancy -0.007R180 trades · win 50.0% · Sharpe -0.006
Total P/Lnet
-$296
on $45,000 cycled
Win ratehit %
50.0%
90 W / 90 L
Profit factorPF
0.99
$ won / $ lost
Expectancyper trade
-$1.65
avg $ per position
R-expectancyper risk
-0.007R
in units of risk taken
Avg win / losspayoff
$246.71 / -$250.00
ratio 0.99 : 1
Sharpe / traderisk-adj
-0.006
μR / σR
Closing line valueCLV
+2.39 pp
avg edge vs close
-$3,533-$2,200-$868$465$1,79703672108144180trade #cumulative P/L (USD)
cumulative P/Lprofitable zonered zonesynthetic · seeded from asset
The scorecard every trader checks. Synthetic ledger seeded from the asset slug — recomputes against your real fill history once wired.

▸ Advanced metrics · M2M bundle

polymarket · elon-musk-of-tweets-june-12-june-19-60-79 · fresh · feed 0s old
realized vol (ann.)
max drawdown
sharpe
ulcer index
RMS drawdown
pain index
mean drawdown
mod. VaR 95%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
cond. drawdown
gain/pain
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
upside/downside
roll spread
implied (price-only)
bars used
0
insufficient
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 0%
  • insufficient history for risk metrics — directional read only
Same bundle via M2M API: /api/m2m/pm-elon-musk-of-tweets-june-12-june-19-60-79/bundle · venue execution: polymarket