NOSTRADAMUS · Position Analytics Engine

SIMULATOR China x Taiwan military clash before 2027?

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-china-x-taiwan-military-clash-before-2027 page.

▲ YES EDGE · +0.009 · f★ 0.9% · deploy 0.5% · net 0.11pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0086@ model P(YES) = 0.099
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.090model 0.099YES 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★ = 0.94% · g(f★) = 0.044%deploy 0.47% · g = 0.033%
-2.13%-1.59%-1.04%-0.50%0.05%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 @ 0.090 · EV +$11stake $118 · 0.47% of bankroll
Deployed stakestake
$118
0.47% of bankroll
Sharesunits
1,310
each pays $1 if YES
Max payoutwin
$1,310
gross, if win
Max profitwin
+$1,192
net of cost
Max losslose
-$118
binary settles to $0
Payout multiple×
×11.11
$1 → $11.11
Risk:RewardR:R
10.11 : 1
win $10.11 per $1
Expected P/LE[P/L]
+$11
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)9.9%+$1,192+$117
Resolves against (lose)90.1%-$118-$106
Expected value100.0%+$11
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 +0.9 pprelative edge +9.5%
Required win ratebreak-even
9.0%
price = implied probability
Model win rateP(win)
9.9%
what you forecast
Cushionedge
+0.9 pp
margin of safety
Fair pricemodel
0.099
where you think it should trade
-60-3003060020406080100you @ 9.0%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
9.0%
= price
Decimal oddsEU
11.111
total return per $1
AmericanUS
+1011
$100 wins $1011
FractionalUK
10.11 / 1
profit per $1 risked
Profit per $100stake
+$1011.11
clean dollar framing
-1000-5000+500+1000020406080100you · 9.0%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 166% · APY 387%ROI 9.5% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+9.5%
APR (simple)scaled
+166%
ROI × 365/days
APY (compounded)if redeployed
+387%
(1+ROI)^(365/d) − 1
Daily expectedper day
+0.43%
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 +0.11 pperosion 87% · break-even w/ fees 9.8%
-0.1pp0.2pp0.4pp0.7pp0.9pp1.2pp+0.86Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee+0.11Net 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★
$236
0.94% · g = 0.044%
Half Kelly½ f★
$118
0.47% · g = 0.033%
Quarter Kelly¼ f★
$59
0.24% · g = 0.019%
Flat 1%1%
$250
1.00% · g = 0.044%
Flat 2%2%
$500
2.00% · g = -0.006%
Flat 5%5%
$1,250
5.00% · g = -0.590%
Recommended¼ f★
$59
survives model error
$0$369$738$1,106$1,475$236Full Kelly0.94%$118Half Kelly0.47%$59Quarter Kelly0.24%$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)
0.436 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.464 bit
Δ +0.028 bit vs market
Surprise · YES−log₂ p
3.47 bit
self-information
Surprise · NO−log₂(1−p)
0.14 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) = 0.0004 nat (0.0006 bit)belief ≈ market — stand down
-0.011-0.0060.0000.0060.0120.0090YES branch-0.0085NO branchΣKL = 0.0004 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 0.099 · CI [0.02, 0.24] · κ 23.7
Posterior meanE[θ]
0.099
Beta(2.3, 21.3)
95% credible intervalHDI
[0.02, 0.24]
price INSIDE → weak edge
Concentrationκ
23.7
pseudo-obs behind belief
Disagreementvs crowd
+0.9 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] -8.3% · P(YES) 8.3% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
-8.33%
P(YES) empiricalq
8.3%
Best pathmax
+1011.1%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 9.0¢model q 9.9¢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 0.04% · ruin rate 0.0%400 paths × 120 bets · f deploy 0.50%
Sharpe / betμ/σ
0.030
μ 0.05% · σ 1.7%
Sortino / betμ/σ↓
0.101
downside-only denominator
VaR 95%5%
-0.5%
per-bet worst-case
CVaR 95%ES
-0.5%
mean tail loss
Max drawdownMDD
-5.4%
Calmar 0.01
Ruin rate≤50%
0.0%
P(equity ever ≤ 50%)
0.72×0.88×1.05×1.21×1.37×1.54×020406080100120startruin 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 -46.4pp · crowd gap -47.3pp
0%20%40%60%80%100%Reference base rate56.3%Market price9.0%Model P(YES)9.9%
Anchor gapmodel − base
-46.4 pp
Crowd gapprice − base
-47.3 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 16.8% · AUC 0.750out-of-sample BSS (5-fold) 16.9% ± 2.4% · Brier 0.2078 · log-loss 0.6147 · n 1600n = 1600
BrierBS
0.2078
lower = better · ō 0.51
BSSvs base
16.8%
improvement over base rate
ReliabilityREL
0.0062
miscalibration · want ↓
ResolutionRES
0.0474
decisiveness · want ↑
Log lossLL
0.6147
cross-entropy
AUCROC
0.750
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 = 0.750false positive ratetrue positive rate0.0000.0750.1500.2250.3000.250UNC0.047RES0.006REL0.208BRIERcontribution
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 1.02 · expectancy +0.009R180 trades · win 53.3% · Sharpe 0.009
Total P/Lnet
+$408
on $45,000 cycled
Win ratehit %
53.3%
96 W / 84 L
Profit factorPF
1.02
$ won / $ lost
Expectancyper trade
+$2.26
avg $ per position
R-expectancyper risk
+0.009R
in units of risk taken
Avg win / losspayoff
$223.00 / -$250.00
ratio 0.89 : 1
Sharpe / traderisk-adj
0.009
μR / σR
Closing line valueCLV
+2.35 pp
avg edge vs close
-$2,527-$1,388-$249$890$2,02903672108144180trade #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 · china-x-taiwan-military-clash-before-2027 · fresh · feed 9s old
24h sparkline · 60 pts 20.00%
realized vol (ann.)
86.31%
max drawdown
10.53%
sharpe
ulcer index
5.60%
RMS drawdown
pain index
5.17%
mean drawdown
mod. VaR 95%
0.03%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
10.53%
cond. drawdown
gain/pain
1.00
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
1.00
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
20.00%
flow lean
carry
flat
signalNEUTRALconfidence 25%
  • 24h change +20.00%
Same bundle via M2M API: /api/m2m/pm-china-x-taiwan-military-clash-before-2027/bundle · venue execution: polymarket