NOSTRADAMUS · Position Analytics Engine

SIMULATOR Will Bitcoin reach $100,000 in June?

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-will-bitcoin-reach-100k-in-june-2026 page.

▲ YES EDGE · +0.018 · f★ 1.9% · deploy 0.9% · net 1.10pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0185@ model P(YES) = 0.020
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.002model 0.020YES 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★ = 1.85% · g(f★) = 3.348%deploy 0.93% · g = 3.027%
-12.04%-8.07%-4.10%-0.12%3.85%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 @ 0.002 · EV +$2,856stake $232 · 0.93% of bankroll
Deployed stakestake
$232
0.93% of bankroll
Sharesunits
154,398
each pays $1 if YES
Max payoutwin
$154,398
gross, if win
Max profitwin
+$154,167
net of cost
Max losslose
-$232
binary settles to $0
Payout multiple×
×666.67
$1 → $666.67
Risk:RewardR:R
665.67 : 1
win $665.67 per $1
Expected P/LE[P/L]
+$2,856
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)2.0%+$154,167+$3,083
Resolves against (lose)98.0%-$232-$227
Expected value100.0%+$2,856
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 +1233.3%
Required win ratebreak-even
0.1%
price = implied probability
Model win rateP(win)
2.0%
what you forecast
Cushionedge
+1.8 pp
margin of safety
Fair pricemodel
0.020
where you think it should trade
-60-3003060020406080100you @ 0.1%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
0.1%
= price
Decimal oddsEU
666.667
total return per $1
AmericanUS
+66567
$100 wins $66567
FractionalUK
665.67 / 1
profit per $1 risked
Profit per $100stake
+$66566.67
clean dollar framing
-1000-5000+500+1000020406080100you · 0.1%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 21437% · APY 3.568671828277318e+21%ROI 1233.3% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+1233.3%
APR (simple)scaled
+21437%
ROI × 365/days
APY (compounded)if redeployed
+3.568671828277318e+21%
(1+ROI)^(365/d) − 1
Daily expectedper day
+13.13%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
0%785107802221009960960%1.57021560444202e+21%2.35532340666303e+21%3.14043120888404e+21%3.92553901110505e+21%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 +1.10 pperosion 41% · break-even w/ fees 0.9%
-0.1pp0.4pp0.9pp1.4pp1.9pp2.4pp+1.85Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee+1.10Net 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★
$463
1.85% · g = 3.348%
Half Kelly½ f★
$232
0.93% · g = 3.027%
Quarter Kelly¼ f★
$116
0.46% · g = 2.359%
Flat 1%1%
$250
1.00% · g = 3.086%
Flat 2%2%
$500
2.00% · g = 3.343%
Flat 5%5%
$1,250
5.00% · g = 2.043%
Recommended¼ f★
$116
survives model error
$0$369$738$1,106$1,475$463Full Kelly1.85%$232Half Kelly0.93%$116Quarter Kelly0.46%$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)
0.016 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.141 bit
Δ +0.125 bit vs market
Surprise · YES−log₂ p
9.38 bit
self-information
Surprise · NO−log₂(1−p)
0.00 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
SIGNAL · D_KL(q ‖ p) = 0.0335 nat (0.0483 bit)exploitable edge present
-0.023-0.0000.0220.0450.0670.0518YES branch-0.0183NO branchΣKL = 0.0335 natKL contribution (nat)
YES contributionNO contributionbelief ‖ marketsignal
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 0.020 · CI [0.00, 0.30] · κ 4.4
Posterior meanE[θ]
0.020
Beta(0.1, 4.4)
95% credible intervalHDI
[0.00, 0.30]
price INSIDE → weak edge
Concentrationκ
4.4
pseudo-obs behind belief
Disagreementvs crowd
+0.0 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] +1566.7% · P(YES) 2.5% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+1566.67%
P(YES) empiricalq
2.5%
Best pathmax
+66566.7%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 0.1¢model q 2.0¢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 5.83% · ruin rate 3.5%400 paths × 120 bets · f deploy 0.93%
Sharpe / betμ/σ
0.192
μ 22.72% · σ 118.5%
Sortino / betμ/σ↓
24.528
downside-only denominator
VaR 95%5%
-0.9%
per-bet worst-case
CVaR 95%ES
-0.9%
mean tail loss
Max drawdownMDD
-21.5%
Calmar 0.27
Ruin rate≤50%
3.5%
P(equity ever ≤ 50%)
0.52×560312.36×1120624.19×1680936.03×2241247.87×2801559.71×020406080100120startruin 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 -47.2pp · crowd gap -49.0pp
0%20%40%60%80%100%Reference base rate49.2%Market price0.1%Model P(YES)2.0%
Anchor gapmodel − base
-47.2 pp
Crowd gapprice − base
-49.0 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 19.7% · AUC 0.766out-of-sample BSS (5-fold) 19.8% ± 2.4% · Brier 0.2006 · log-loss 0.6022 · n 1600n = 1600
BrierBS
0.2006
lower = better · ō 0.49
BSSvs base
19.7%
improvement over base rate
ReliabilityREL
0.0046
miscalibration · want ↓
ResolutionRES
0.0535
decisiveness · want ↑
Log lossLL
0.6022
cross-entropy
AUCROC
0.766
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 = 0.766false positive ratetrue positive rate0.0000.0750.1500.2250.3000.250UNC0.053RES0.005REL0.201BRIERcontribution
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 49.4% · Sharpe -0.006
Total P/Lnet
-$305
on $45,000 cycled
Win ratehit %
49.4%
89 W / 91 L
Profit factorPF
0.99
$ won / $ lost
Expectancyper trade
-$1.69
avg $ per position
R-expectancyper risk
-0.007R
in units of risk taken
Avg win / losspayoff
$252.19 / -$250.00
ratio 1.01 : 1
Sharpe / traderisk-adj
-0.006
μR / σR
Closing line valueCLV
+2.52 pp
avg edge vs close
-$3,047-$1,985-$924$137$1,19903672108144180trade #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 · will-bitcoin-reach-100k-in-june-2026 · fresh · feed 0s old
24h sparkline · 60 pts -40.00%
realized vol (ann.)
2.96%
max drawdown
40.00%
sharpe
ulcer index
23.87%
RMS drawdown
pain index
14.24%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
40.00%
cond. drawdown
gain/pain
0.00
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.00
upside/downside
roll spread
4.7 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
-40.00%
flow lean
carry
flat
signalNEUTRALconfidence 25%
  • 24h change -40.00%
Same bundle via M2M API: /api/m2m/pm-will-bitcoin-reach-100k-in-june-2026/bundle · venue execution: polymarket