NOSTRADAMUS · Position Analytics Engine

SIMULATOR Will Bitcoin dip to $55,000 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-dip-to-55k-in-june-2026-779 page.

▲ YES EDGE · +0.008 · f★ 0.9% · deploy 0.4% · net 0.02pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0077@ model P(YES) = 0.142
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.135model 0.142YES 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★ = 0.89% · g(f★) = 0.025%deploy 0.44% · g = 0.019%
-2.07%-1.55%-1.02%-0.50%0.03%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 @ 0.135 · EV +$6stake $111 · 0.44% of bankroll
Deployed stakestake
$111
0.44% of bankroll
Sharesunits
825
each pays $1 if YES
Max payoutwin
$825
gross, if win
Max profitwin
+$714
net of cost
Max losslose
-$111
binary settles to $0
Payout multiple×
×7.43
$1 → $7.43
Risk:RewardR:R
6.43 : 1
win $6.43 per $1
Expected P/LE[P/L]
+$6
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)14.2%+$714+$102
Resolves against (lose)85.8%-$111-$95
Expected value100.0%+$6
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 +0.8 pprelative edge +5.7%
Required win ratebreak-even
13.5%
price = implied probability
Model win rateP(win)
14.2%
what you forecast
Cushionedge
+0.8 pp
margin of safety
Fair pricemodel
0.142
where you think it should trade
-60-3003060020406080100you @ 13.5%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
13.5%
= price
Decimal oddsEU
7.435
total return per $1
AmericanUS
+643
$100 wins $643
FractionalUK
6.43 / 1
profit per $1 risked
Profit per $100stake
+$643.49
clean dollar framing
-1000-5000+500+1000020406080100you · 13.5%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 99% · APY 163%ROI 5.7% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+5.7%
APR (simple)scaled
+99%
ROI × 365/days
APY (compounded)if redeployed
+163%
(1+ROI)^(365/d) − 1
Daily expectedper day
+0.26%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
0%220%440%660%880%1100%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 +0.02 pperosion 98% · break-even w/ fees 14.2%
-0.1pp0.1pp0.4pp0.6pp0.8pp1.1pp+0.77Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee+0.02Net 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★
$222
0.89% · g = 0.025%
Half Kelly½ f★
$111
0.44% · g = 0.019%
Quarter Kelly¼ f★
$55
0.22% · g = 0.011%
Flat 1%1%
$250
1.00% · g = 0.025%
Flat 2%2%
$500
2.00% · g = -0.012%
Flat 5%5%
$1,250
5.00% · g = -0.434%
Recommended¼ f★
$55
survives model error
$0$369$738$1,106$1,475$222Full Kelly0.89%$111Half Kelly0.44%$55Quarter Kelly0.22%$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)
0.570 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.590 bit
Δ +0.020 bit vs market
Surprise · YES−log₂ p
2.89 bit
self-information
Surprise · NO−log₂(1−p)
0.21 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) = 0.0002 nat (0.0004 bit)belief ≈ market — stand down
-0.010-0.0050.0000.0050.0100.0079YES branch-0.0076NO branchΣKL = 0.0002 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 0.142 · CI [0.05, 0.28] · κ 32.9
Posterior meanE[θ]
0.142
Beta(4.7, 28.2)
95% credible intervalHDI
[0.05, 0.28]
price INSIDE → weak edge
Concentrationκ
32.9
pseudo-obs behind belief
Disagreementvs crowd
+0.8 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] +41.3% · P(YES) 19.0% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+41.26%
P(YES) empiricalq
19.0%
Best pathmax
+643.5%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 13.5¢model q 14.2¢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 0.02% · ruin rate 0.0%400 paths × 120 bets · f deploy 0.50%
Sharpe / betμ/σ
0.026
μ 0.03% · σ 1.3%
Sortino / betμ/σ↓
0.069
downside-only denominator
VaR 95%5%
-0.5%
per-bet worst-case
CVaR 95%ES
-0.5%
mean tail loss
Max drawdownMDD
-3.9%
Calmar 0.00
Ruin rate≤50%
0.0%
P(equity ever ≤ 50%)
0.77×0.89×1.02×1.15×1.28×1.41×020406080100120startruin 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 -37.9pp · crowd gap -38.6pp
0%20%40%60%80%100%Reference base rate52.1%Market price13.5%Model P(YES)14.2%
Anchor gapmodel − base
-37.9 pp
Crowd gapprice − base
-38.6 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 18.2% · AUC 0.758out-of-sample BSS (5-fold) 18.3% ± 0.9% · Brier 0.2044 · log-loss 0.6097 · n 1600n = 1600
BrierBS
0.2044
lower = better · ō 0.50
BSSvs base
18.2%
improvement over base rate
ReliabilityREL
0.0062
miscalibration · want ↓
ResolutionRES
0.0518
decisiveness · want ↑
Log lossLL
0.6097
cross-entropy
AUCROC
0.758
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 = 0.758false positive ratetrue positive rate0.0000.0750.1500.2250.3000.250UNC0.052RES0.006REL0.204BRIERcontribution
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
PROFITABLE · PF 1.17 · expectancy +0.077R180 trades · win 53.9% · Sharpe 0.065
Total P/Lnet
+$3,450
on $45,000 cycled
Win ratehit %
53.9%
97 W / 83 L
Profit factorPF
1.17
$ won / $ lost
Expectancyper trade
+$19.17
avg $ per position
R-expectancyper risk
+0.077R
in units of risk taken
Avg win / losspayoff
$249.49 / -$250.00
ratio 1.00 : 1
Sharpe / traderisk-adj
0.065
μR / σR
Closing line valueCLV
+3.44 pp
avg edge vs close
-$1,209$502$2,214$3,926$5,63703672108144180trade #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-dip-to-55k-in-june-2026-779 · 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-will-bitcoin-dip-to-55k-in-june-2026-779/bundle · venue execution: polymarket