NOSTRADAMUS · Position Analytics Engine

SIMULATOR Will Russia capture all of Kupiansk by June 30?

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-russia-capture-all-of-kupiansk-by-june-30 page.

▲ YES EDGE · +0.002 · f★ 0.2% · deploy 0.1% · net -0.55pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0020@ model P(YES) = 0.020
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.018model 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★ = 0.20% · g(f★) = 0.011%deploy 0.10% · g = 0.008%
-2.03%-1.52%-1.01%-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 @ 0.018 · EV +$3stake $25 · 0.10% of bankroll
Deployed stakestake
$25
0.10% of bankroll
Sharesunits
1,414
each pays $1 if YES
Max payoutwin
$1,414
gross, if win
Max profitwin
+$1,389
net of cost
Max losslose
-$25
binary settles to $0
Payout multiple×
×55.56
$1 → $55.56
Risk:RewardR:R
54.56 : 1
win $54.56 per $1
Expected P/LE[P/L]
+$3
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)2.0%+$1,389+$28
Resolves against (lose)98.0%-$25-$25
Expected value100.0%+$3
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 +0.2 pprelative edge +11.1%
Required win ratebreak-even
1.8%
price = implied probability
Model win rateP(win)
2.0%
what you forecast
Cushionedge
+0.2 pp
margin of safety
Fair pricemodel
0.020
where you think it should trade
-60-3003060020406080100you @ 1.8%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
1.8%
= price
Decimal oddsEU
55.556
total return per $1
AmericanUS
+5456
$100 wins $5456
FractionalUK
54.56 / 1
profit per $1 risked
Profit per $100stake
+$5455.56
clean dollar framing
-1000-5000+500+1000020406080100you · 1.8%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 193% · APY 524%ROI 11.1% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+11.1%
APR (simple)scaled
+193%
ROI × 365/days
APY (compounded)if redeployed
+524%
(1+ROI)^(365/d) − 1
Daily expectedper day
+0.50%
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 -0.55 pperosion 375% · break-even w/ fees 2.5%
-0.8pp-0.6pp-0.3pp-0.1pp0.1pp0.4pp+0.20Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee-0.55Net 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★
$51
0.20% · g = 0.011%
Half Kelly½ f★
$25
0.10% · g = 0.008%
Quarter Kelly¼ f★
$13
0.05% · g = 0.005%
Flat 1%1%
$250
1.00% · g = -0.114%
Flat 2%2%
$500
2.00% · g = -0.504%
Flat 5%5%
$1,250
5.00% · g = -2.395%
Recommended¼ f★
$13
survives model error
$0$369$738$1,106$1,475$51Full Kelly0.20%$25Half Kelly0.10%$13Quarter Kelly0.05%$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)
0.130 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.141 bit
Δ +0.011 bit vs market
Surprise · YES−log₂ p
5.80 bit
self-information
Surprise · NO−log₂(1−p)
0.03 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 (0.0002 bit)belief ≈ market — stand down
-0.003-0.002-0.0000.0010.0030.0021YES branch-0.0020NO 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 0.020 · 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] +25.0% · P(YES) 2.3% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+25.00%
P(YES) empiricalq
2.3%
Best pathmax
+5455.6%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 1.8¢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 0.53% · ruin rate 0.0%400 paths × 120 bets · f deploy 0.50%
Sharpe / betμ/σ
0.113
μ 0.62% · σ 5.5%
Sortino / betμ/σ↓
1.235
downside-only denominator
VaR 95%5%
-0.5%
per-bet worst-case
CVaR 95%ES
-0.5%
mean tail loss
Max drawdownMDD
-12.2%
Calmar 0.04
Ruin rate≤50%
0.0%
P(equity ever ≤ 50%)
0.66×1.59×2.53×3.46×4.40×5.33×020406080100120startruin 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 -39.9pp · crowd gap -40.1pp
0%20%40%60%80%100%Reference base rate41.9%Market price1.8%Model P(YES)2.0%
Anchor gapmodel − base
-39.9 pp
Crowd gapprice − base
-40.1 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 0.765out-of-sample BSS (5-fold) 19.8% ± 0.9% · Brier 0.2007 · log-loss 0.6014 · n 1600n = 1600
BrierBS
0.2007
lower = better · ō 0.49
BSSvs base
19.7%
improvement over base rate
ReliabilityREL
0.0042
miscalibration · want ↓
ResolutionRES
0.0525
decisiveness · want ↑
Log lossLL
0.6014
cross-entropy
AUCROC
0.765
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 = 0.765false positive ratetrue positive rate0.0000.0750.1500.2250.3000.250UNC0.053RES0.004REL0.201BRIERcontribution
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
PROFITABLE · PF 1.24 · expectancy +0.116R180 trades · win 51.1% · Sharpe 0.077
Total P/Lnet
+$5,220
on $45,000 cycled
Win ratehit %
51.1%
92 W / 88 L
Profit factorPF
1.24
$ won / $ lost
Expectancyper trade
+$29.00
avg $ per position
R-expectancyper risk
+0.116R
in units of risk taken
Avg win / losspayoff
$295.87 / -$250.00
ratio 1.18 : 1
Sharpe / traderisk-adj
0.077
μR / σR
Closing line valueCLV
+3.12 pp
avg edge vs close
-$2,120$5$2,130$4,255$6,38003672108144180trade #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-russia-capture-all-of-kupiansk-by-june-30 · 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-russia-capture-all-of-kupiansk-by-june-30/bundle · venue execution: polymarket