NOSTRADAMUS · Position Analytics Engine

SIMULATOR Will Ukraine recapture Crimean territory by December 31, 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-will-ukraine-recapture-crimean-territory-by-december-31-2026 page.

▲ YES EDGE · +0.003 · f★ 0.3% · deploy 0.2% · net -0.44pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0031@ model P(YES) = 0.088
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.085model 0.088YES 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★ = 0.34% · g(f★) = 0.006%deploy 0.17% · g = 0.005%
-2.02%-1.51%-1.00%-0.50%0.01%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 @ 0.085 · EV +$2stake $42 · 0.17% of bankroll
Deployed stakestake
$42
0.17% of bankroll
Sharesunits
497
each pays $1 if YES
Max payoutwin
$497
gross, if win
Max profitwin
+$455
net of cost
Max losslose
-$42
binary settles to $0
Payout multiple×
×11.76
$1 → $11.76
Risk:RewardR:R
10.76 : 1
win $10.76 per $1
Expected P/LE[P/L]
+$2
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)8.8%+$455+$40
Resolves against (lose)91.2%-$42-$39
Expected value100.0%+$2
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 +0.3 pprelative edge +3.6%
Required win ratebreak-even
8.5%
price = implied probability
Model win rateP(win)
8.8%
what you forecast
Cushionedge
+0.3 pp
margin of safety
Fair pricemodel
0.088
where you think it should trade
-60-3003060020406080100you @ 8.5%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
8.5%
= price
Decimal oddsEU
11.765
total return per $1
AmericanUS
+1076
$100 wins $1076
FractionalUK
10.76 / 1
profit per $1 risked
Profit per $100stake
+$1076.47
clean dollar framing
-1000-5000+500+1000020406080100you · 8.5%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 63% · APY 86%ROI 3.6% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+3.6%
APR (simple)scaled
+63%
ROI × 365/days
APY (compounded)if redeployed
+86%
(1+ROI)^(365/d) − 1
Daily expectedper day
+0.17%
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 -0.44 pperosion 242% · break-even w/ fees 9.3%
-0.7pp-0.4pp-0.2pp0.0pp0.3pp0.5pp+0.31Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee-0.44Net 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★
$85
0.34% · g = 0.006%
Half Kelly½ f★
$42
0.17% · g = 0.005%
Quarter Kelly¼ f★
$21
0.08% · g = 0.003%
Flat 1%1%
$250
1.00% · g = -0.016%
Flat 2%2%
$500
2.00% · g = -0.125%
Flat 5%5%
$1,250
5.00% · g = -0.884%
Recommended¼ f★
$21
survives model error
$0$369$738$1,106$1,475$85Full Kelly0.34%$42Half Kelly0.17%$21Quarter Kelly0.08%$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)
0.420 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.430 bit
Δ +0.011 bit vs market
Surprise · YES−log₂ p
3.56 bit
self-information
Surprise · NO−log₂(1−p)
0.13 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) = 0.0001 nat (0.0001 bit)belief ≈ market — stand down
-0.005-0.003-0.0000.0020.0040.0031YES branch-0.0031NO branchΣKL = 0.0001 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 0.088 · CI [0.01, 0.24] · κ 21.3
Posterior meanE[θ]
0.088
Beta(1.9, 19.4)
95% credible intervalHDI
[0.01, 0.24]
price INSIDE → weak edge
Concentrationκ
21.3
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] -14.7% · P(YES) 7.2% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
-14.71%
P(YES) empiricalq
7.2%
Best pathmax
+1076.5%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 8.5¢model q 8.8¢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 0.03% · ruin rate 0.0%400 paths × 120 bets · f deploy 0.50%
Sharpe / betμ/σ
0.022
μ 0.04% · σ 1.7%
Sortino / betμ/σ↓
0.073
downside-only denominator
VaR 95%5%
-0.5%
per-bet worst-case
CVaR 95%ES
-0.5%
mean tail loss
Max drawdownMDD
-6.1%
Calmar 0.00
Ruin rate≤50%
0.0%
P(equity ever ≤ 50%)
0.73×0.88×1.03×1.19×1.34×1.49×020406080100120startruin 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 -44.7pp · crowd gap -45.0pp
0%20%40%60%80%100%Reference base rate53.5%Market price8.5%Model P(YES)8.8%
Anchor gapmodel − base
-44.7 pp
Crowd gapprice − base
-45.0 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 21.7% · AUC 0.775out-of-sample BSS (5-fold) 21.8% ± 2.0% · Brier 0.1957 · log-loss 0.5895 · n 1600n = 1600
BrierBS
0.1957
lower = better · ō 0.49
BSSvs base
21.7%
improvement over base rate
ReliabilityREL
0.0052
miscalibration · want ↓
ResolutionRES
0.0592
decisiveness · want ↑
Log lossLL
0.5895
cross-entropy
AUCROC
0.775
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 = 0.775false positive ratetrue positive rate0.0000.0750.1500.2250.3000.250UNC0.059RES0.005REL0.196BRIERcontribution
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 1.21 · expectancy +0.097R180 trades · win 54.4% · Sharpe 0.084
Total P/Lnet
+$4,376
on $45,000 cycled
Win ratehit %
54.4%
98 W / 82 L
Profit factorPF
1.21
$ won / $ lost
Expectancyper trade
+$24.31
avg $ per position
R-expectancyper risk
+0.097R
in units of risk taken
Avg win / losspayoff
$253.83 / -$250.00
ratio 1.02 : 1
Sharpe / traderisk-adj
0.084
μR / σR
Closing line valueCLV
+2.47 pp
avg edge vs close
-$181$1,435$3,052$4,668$6,28503672108144180trade #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-ukraine-recapture-crimean-territory-by-december-31-2026 · 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-ukraine-recapture-crimean-territory-by-december-31-2026/bundle · venue execution: polymarket