NOSTRADAMUS · Position Analytics Engine

SIMULATOR Game 6: Carolina at Vegas Winner?

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/kalshi-kxnhlgame-26jun14carvgk-car page.

▲ YES EDGE · +0.000 · f★ 0.0% · deploy 0.0% · net -0.73pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0002@ model P(YES) = 0.530
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.530model 0.530YES 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★ = 0.03% · g(f★) = 0.000%deploy 0.02% · g = 0.000%
-2.00%-1.50%-1.00%-0.49%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 @ 0.530 · EV +$0stake $4 · 0.02% of bankroll
Deployed stakestake
$4
0.02% of bankroll
Sharesunits
8
each pays $1 if YES
Max payoutwin
$8
gross, if win
Max profitwin
+$4
net of cost
Max losslose
-$4
binary settles to $0
Payout multiple×
×1.89
$1 → $1.89
Risk:RewardR:R
0.89 : 1
win $0.89 per $1
Expected P/LE[P/L]
+$0
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)53.0%+$4+$2
Resolves against (lose)47.0%-$4-$2
Expected value100.0%+$0
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 +0.0 pprelative edge +0.0%
Required win ratebreak-even
53.0%
price = implied probability
Model win rateP(win)
53.0%
what you forecast
Cushionedge
+0.0 pp
margin of safety
Fair pricemodel
0.530
where you think it should trade
-60-3003060020406080100you @ 53.0%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
53.0%
= price
Decimal oddsEU
1.887
total return per $1
AmericanUS
-113
risk $113 to win $100
FractionalUK
0.89 / 1
profit per $1 risked
Profit per $100stake
+$88.68
clean dollar framing
-1000-5000+500+1000020406080100you · 53.0%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 0% · APY 0%ROI 0.0% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+0.0%
APR (simple)scaled
+0%
ROI × 365/days
APY (compounded)if redeployed
+0%
(1+ROI)^(365/d) − 1
Daily expectedper day
+0.00%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
0%11%22%33%44%55%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 -0.73 pperosion 4953% · break-even w/ fees 53.8%
-1.0pp-0.8pp-0.6pp-0.3pp-0.1pp0.1pp+0.02Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee-0.73Net 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★
$8
0.03% · g = 0.000%
Half Kelly½ f★
$4
0.02% · g = 0.000%
Quarter Kelly¼ f★
$2
0.01% · g = 0.000%
Flat 1%1%
$250
1.00% · g = -0.004%
Flat 2%2%
$500
2.00% · g = -0.017%
Flat 5%5%
$1,250
5.00% · g = -0.110%
Recommended¼ f★
$2
survives model error
$0$369$738$1,106$1,475$8Full Kelly0.03%$4Half Kelly0.02%$2Quarter Kelly0.01%$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)
0.997 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.997 bit
Δ -0.000 bit vs market
Surprise · YES−log₂ p
0.92 bit
self-information
Surprise · NO−log₂(1−p)
1.09 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) = 0.0000 nat (0.0000 bit)belief ≈ market — stand down
-0.001-0.0010.0000.0010.0010.0002YES branch-0.0002NO branchΣKL = 0.0000 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 0.530 · CI [0.41, 0.65] · κ 68.2
Posterior meanE[θ]
0.530
Beta(36.2, 32.0)
95% credible intervalHDI
[0.41, 0.65]
price INSIDE → weak edge
Concentrationκ
68.2
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] +3.3% · P(YES) 54.8% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+3.30%
P(YES) empiricalq
54.8%
Best pathmax
+88.7%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 53.0¢model q 53.0¢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 -0.01% · ruin rate 0.0%400 paths × 120 bets · f deploy 0.50%
Sharpe / betμ/σ
-0.004
μ -0.00% · σ 0.5%
Sortino / betμ/σ↓
-0.003
downside-only denominator
VaR 95%5%
-0.5%
per-bet worst-case
CVaR 95%ES
-0.5%
mean tail loss
Max drawdownMDD
-1.1%
Calmar -0.01
Ruin rate≤50%
0.0%
P(equity ever ≤ 50%)
0.87×0.92×0.98×1.03×1.09×1.15×020406080100120startruin 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 -4.7pp · crowd gap -4.7pp
0%20%40%60%80%100%Reference base rate57.7%Market price53.0%Model P(YES)53.0%
Anchor gapmodel − base
-4.7 pp
Crowd gapprice − base
-4.7 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 17.3% · AUC 0.752out-of-sample BSS (5-fold) 17.4% ± 2.0% · Brier 0.2067 · log-loss 0.6160 · n 1600n = 1600
BrierBS
0.2067
lower = better · ō 0.50
BSSvs base
17.3%
improvement over base rate
ReliabilityREL
0.0065
miscalibration · want ↓
ResolutionRES
0.0494
decisiveness · want ↑
Log lossLL
0.6160
cross-entropy
AUCROC
0.752
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 = 0.752false positive ratetrue positive rate0.0000.0750.1500.2250.3000.250UNC0.049RES0.007REL0.207BRIERcontribution
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 +0.012R180 trades · win 51.1% · Sharpe 0.009
Total P/Lnet
+$520
on $45,000 cycled
Win ratehit %
51.1%
92 W / 88 L
Profit factorPF
1.02
$ won / $ lost
Expectancyper trade
+$2.89
avg $ per position
R-expectancyper risk
+0.012R
in units of risk taken
Avg win / losspayoff
$244.78 / -$250.00
ratio 0.98 : 1
Sharpe / traderisk-adj
0.009
μR / σR
Closing line valueCLV
+3.42 pp
avg edge vs close
-$1,387-$717-$48$621$1,29003672108144180trade #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

kalshi · kxnhlgame-26jun14carvgk-car · fresh · feed 28s old
24h sparkline · 60 pts
realized vol (ann.)
158.37%
max drawdown
1.89%
sharpe
ulcer index
0.37%
RMS drawdown
pain index
0.07%
mean drawdown
mod. VaR 95%
0.38%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
0.07%
cond. drawdown
gain/pain
1.00
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
1.00
upside/downside
roll spread
69.8 bps
implied (price-only)
bars used
617
store
spread
190.5 bps
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/kalshi-kxnhlgame-26jun14carvgk-car/bundle · venue execution: kalshi