NOSTRADAMUS · Position Analytics Engine

SIMULATOR Will BTC trimmed mean be above $75000.00 by 11:59 PM ET on Jun 30, 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/kalshi-kxbtcmaxmon-btc-26jun30-7500000 page.

▲ YES EDGE · +0.040 · f★ 4.3% · deploy 2.1% · net 3.30pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0405@ model P(YES) = 0.090
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.050model 0.090YES 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★ = 4.26% · g(f★) = 1.406%deploy 2.13% · g = 1.117%
-6.22%-4.26%-2.30%-0.34%1.62%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 @ 0.050 · EV +$431stake $533 · 2.13% of bankroll
Deployed stakestake
$533
2.13% of bankroll
Sharesunits
10,655
each pays $1 if YES
Max payoutwin
$10,655
gross, if win
Max profitwin
+$10,122
net of cost
Max losslose
-$533
binary settles to $0
Payout multiple×
×20.00
$1 → $20.00
Risk:RewardR:R
19.00 : 1
win $19.00 per $1
Expected P/LE[P/L]
+$431
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)9.0%+$10,122+$916
Resolves against (lose)91.0%-$533-$485
Expected value100.0%+$431
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 +4.0 pprelative edge +81.0%
Required win ratebreak-even
5.0%
price = implied probability
Model win rateP(win)
9.0%
what you forecast
Cushionedge
+4.0 pp
margin of safety
Fair pricemodel
0.090
where you think it should trade
-60-3003060020406080100you @ 5.0%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
5.0%
= price
Decimal oddsEU
20.000
total return per $1
AmericanUS
+1900
$100 wins $1900
FractionalUK
19.00 / 1
profit per $1 risked
Profit per $100stake
+$1900.00
clean dollar framing
-1000-5000+500+1000020406080100you · 5.0%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 1407% · APY 3004036%ROI 81.0% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+81.0%
APR (simple)scaled
+1407%
ROI × 365/days
APY (compounded)if redeployed
+3004036%
(1+ROI)^(365/d) − 1
Daily expectedper day
+2.87%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
0%660888%1321776%1982663%2643551%3304439%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 +3.30 pperosion 19% · break-even w/ fees 5.8%
-0.1pp1.0pp2.0pp3.1pp4.1pp5.2pp+4.05Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee+3.30Net 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★
$1,065
4.26% · g = 1.406%
Half Kelly½ f★
$533
2.13% · g = 1.117%
Quarter Kelly¼ f★
$266
1.07% · g = 0.694%
Flat 1%1%
$250
1.00% · g = 0.660%
Flat 2%2%
$500
2.00% · g = 1.077%
Flat 5%5%
$1,250
5.00% · g = 1.378%
Recommended¼ f★
$266
survives model error
$0$369$738$1,106$1,475$1,065Full Kelly4.26%$533Half Kelly2.13%$266Quarter Kelly1.07%$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)
0.286 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.438 bit
Δ +0.152 bit vs market
Surprise · YES−log₂ p
4.32 bit
self-information
Surprise · NO−log₂(1−p)
0.07 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) = 0.0141 nat (0.0203 bit)belief ≈ market — stand down
-0.049-0.0190.0110.0400.0700.0537YES branch-0.0396NO branchΣKL = 0.0141 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 0.090 · CI [0.01, 0.24] · κ 21.9
Posterior meanE[θ]
0.090
Beta(2.0, 19.9)
95% credible intervalHDI
[0.01, 0.24]
price INSIDE → weak edge
Concentrationκ
21.9
pseudo-obs behind belief
Disagreementvs crowd
+4.0 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] +115.0% · P(YES) 10.8% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+115.00%
P(YES) empiricalq
10.8%
Best pathmax
+1900.0%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 5.0¢model q 9.0¢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 1.17% · ruin rate 8.3%400 paths × 120 bets · f deploy 2.13%
Sharpe / betμ/σ
0.152
μ 1.89% · σ 12.5%
Sortino / betμ/σ↓
0.888
downside-only denominator
VaR 95%5%
-2.1%
per-bet worst-case
CVaR 95%ES
-2.1%
mean tail loss
Max drawdownMDD
-22.8%
Calmar 0.05
Ruin rate≤50%
8.3%
P(equity ever ≤ 50%)
0.49×8.28×16.06×23.84×31.63×39.41×020406080100120startruin 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 -36.2pp · crowd gap -40.2pp
0%20%40%60%80%100%Reference base rate45.2%Market price5.0%Model P(YES)9.0%
Anchor gapmodel − base
-36.2 pp
Crowd gapprice − base
-40.2 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 22.8% · AUC 0.780out-of-sample BSS (5-fold) 23.0% ± 1.1% · Brier 0.1929 · log-loss 0.5749 · n 1600n = 1600
BrierBS
0.1929
lower = better · ō 0.51
BSSvs base
22.8%
improvement over base rate
ReliabilityREL
0.0029
miscalibration · want ↓
ResolutionRES
0.0597
decisiveness · want ↑
Log lossLL
0.5749
cross-entropy
AUCROC
0.780
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 = 0.780false positive ratetrue positive rate0.0000.0750.1500.2250.3000.250UNC0.060RES0.003REL0.193BRIERcontribution
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 0.85 · expectancy -0.077R180 trades · win 49.4% · Sharpe -0.077
Total P/Lnet
-$3,486
on $45,000 cycled
Win ratehit %
49.4%
89 W / 91 L
Profit factorPF
0.85
$ won / $ lost
Expectancyper trade
-$19.37
avg $ per position
R-expectancyper risk
-0.077R
in units of risk taken
Avg win / losspayoff
$216.45 / -$250.00
ratio 0.87 : 1
Sharpe / traderisk-adj
-0.077
μR / σR
Closing line valueCLV
+2.65 pp
avg edge vs close
-$3,486-$1,968-$451$1,067$2,58503672108144180trade #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

kalshi · kxbtcmaxmon-btc-26jun30-7500000 · fresh · feed 12s old
24h sparkline · 40 pts
realized vol (ann.)
214.83%
max drawdown
33.33%
sharpe
ulcer index
17.28%
RMS drawdown
pain index
12.92%
mean drawdown
mod. VaR 95%
0.73%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
33.33%
cond. drawdown
gain/pain
0.50
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.50
upside/downside
roll spread
102.1 bps
implied (price-only)
bars used
40
store
spread
2222.2 bps
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/kalshi-kxbtcmaxmon-btc-26jun30-7500000/bundle · venue execution: kalshi