POLYMARKET · PREDICTION MARKET · STRAIT OF HORMUZ TRAFFIC RETURNS TO NORMAL BY JULY 31?

Strait of Hormuz traffic returns to normal by July 31?

YES · live
48.5¢
NO · live
51.5¢

▸ Advanced metrics · M2M bundle

polymarket · strait-of-hormuz-traffic-returns-to-normal-by-july-31 · fresh · feed 4s old
24h sparkline · 60 pts
realized vol (ann.)
215.42%
max drawdown
4.04%
sharpe
ulcer index
1.49%
RMS drawdown
pain index
0.85%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
4.04%
cond. drawdown
gain/pain
1.17
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
1.17
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
568
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/pm-strait-of-hormuz-traffic-returns-to-normal-by-july-31/bundle · venue execution: polymarket
LIVEPOLL0SRCFRESH3.9s--:--:-- UTC8NEXT8.0sUP0s--:--HIST0/30
▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC FRESH·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC FRESH·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·
YES · live
48.5¢
NO · live
51.5¢
YES price · live 24h
n=25 · μ=0.4548 · σ=0.0225 · range [0.4150, 0.4950] · R²=0.606 RISING +4.30%σ NORMAL 4.94%LAST 0.48500.49500.47500.45500.43500.4150μ = 0.4548max 0.4950min 0.4150dataMA(5)OLS R²=0.61μ lineμ ± σ bandmaxminlive endpoint
25 ticks · last 48.50¢
YES / NO split · live
YES 48.5%NO 51.5%NO51.5%51.50¢ · odds 1/1.94
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.999 / 1.00 bits (100%) · max uncertainty (~50/50)
YES
48.5%48.5¢2.06× +0.00pp
NO
51.5%51.5¢1.94× +0.00pp
Σ 100.00% · arb gap 0.00pp
Per-tick activity · |Δp| in basis points · live
n=24 · Σ=3,100 · μ=129.2 · σ=105.2 · CV=0.81BURSTYcumulative energy ↗ · 50% by h=90100200300400μ = 12940050%h1h5h9h13h17h21#1 peak#2-3> μactivequietμ linecum energy
Σ 3100bp moved · peak 400bp · n=24 ticks
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
3.9s
YES mid
48.50¢ (48.50%)
NO mid
51.50¢ (51.50%)
ΣΣ sides
100.00%
arb gap
0.000pp
$24h vol $
$345.3k
liquidity $
$172.3k
history points
25 ticks (live)

§1 · 24h price history (YES + NO tokens)

YES price · CLOB mid
n=25 · μ=0.4548 · σ=0.0225 · range [0.4150, 0.4950] · R²=0.606 RISING +4.30%σ NORMAL 4.94%LAST 0.48500.49500.47500.45500.43500.4150μ = 0.4548max 0.4950min 0.4150dataMA(5)OLS R²=0.61μ lineμ ± σ bandmaxmin
25 YES observations from clob.polymarket.com · last 48.50¢
NO price · CLOB mid
n=25 · μ=0.5452 · σ=0.0225 · range [0.5050, 0.5850] · R²=0.606 FALLING -3.74%σ NORMAL 4.12%LAST 0.51500.58500.56500.54500.52500.5050μ = 0.5452max 0.5850min 0.5050dataMA(5)OLS R²=0.61μ lineμ ± σ bandmaxmin
25 NO observations from clob.polymarket.com · last 51.50¢

§2 · Distribution of Δp

Histogram of hourly increments
n=24 · 10 bins · μ=0.0016 · σ=0.0154 · skew=-0.14 (symmetric) · kurt=0.33 (mesokurtic)754201-3.63ppbin -3.63pp · n=1 · 14.3% peakbin -3.63pp · n=1 · 14.3% peak-2.88pp2-2.13ppbin -2.13pp · n=2 · 28.6% peakbin -2.13pp · n=2 · 28.6% peak-1.38pp7-0.63ppbin -0.63pp · n=7 · 100.0% peakbin -0.63pp · n=7 · 100.0% peak40.13ppbin 0.13pp · n=4 · 57.1% peakbin 0.13pp · n=4 · 57.1% peak60.88ppbin 0.88pp · n=6 · 85.7% peakbin 0.88pp · n=6 · 85.7% peak11.63ppbin 1.63pp · n=1 · 14.3% peakbin 1.63pp · n=1 · 14.3% peak12.38ppbin 2.38pp · n=1 · 14.3% peakbin 2.38pp · n=1 · 14.3% peak23.13ppbin 3.13pp · n=2 · 28.6% peakbin 3.13pp · n=2 · 28.6% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=-0.10 · kurt=0.17 · near 21 / mid 3 / far 0 · OLS slope=1.00 intercept=-0.00MATCHES NORMAL · WELL-BEHAVEDUPPER TAIL NORMALLOWER TAIL NORMAL-3σ-3σ-2σ-2σ-1σ-1σ+0σ+0σ+1σ+1σ+2σ+2σ+3σ+3σsample ↓marginal: sample bars + theoretical N(0,1) curve →theoretical Φ⁻¹(p) →↑ sample z-quantile|Δ| < 0.3σ · on the line|Δ| < 1σ · moderate|Δ| ≥ 1σ · outliery = x refOLS fit
reference line = identity (perfect normality). Heavy upper-right tail = fat positive tail.

§3 · Sample moments

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25PLATYKURTIC · THIN TAILS (G₂=-1.01)
μ MEAN45.48¢95% CI: [44.60¢, 46.36¢]
σ STD DEV2.25ppσ² = 5.052 · CV = 4.94%
med MEDIAN45.50¢Q₁ 43.50¢ · Q₃ 47.50¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 41.50¢Q₁ 43.50¢med 45.50¢Q₃ 47.50¢max 49.50¢μ
SKEWNESS · G₁-0.347approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.008platykurtic · thin tails
−30+2+4+6
μ ↔ median≈ equal · symmetric|μ−med| / σ = 0.01
σ × 1.349 ↔ IQRdiverges from normalratio = 0.76
range ↔ σconcentrated (range < 4σ)range / σ = 3.56
μ = mean YES probability · σ = standard deviation · 95% CI = μ ± 1.96·SE. Skew/kurt diagnose departure from normality.

§5 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ADF rejects unit root
ρ(1) AUTOCORR-0.143within white-noise band
ρ(2) AUTOCORR-0.267lag-2 not significant
H · HURST EXPONENT0.466random-walk
OLS TREND · t-STAT+5.945significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.466RANDOM-WALK
0
anti-persistent
0.45
mean-reverting
0.5
random walk
0.55
persistent
1
strongly trending
AUTOCORRELATION FUNCTION · ρ(k) for k=1..5
k=1-0.143k=2-0.267k=3-0.048k=4+0.140k=5-0.1000+1−1+0.410.41+ momentum (ρ > +0.41)− reversal (ρ < −0.41)noise (within band)±2/√n threshold
OLS TREND · t-STAT · [-5, +5]
−5 reject−1.960 retain H₀+1.96+5 reject
REGIME CLASSIFICATIONMEAN-REVERTING · ADF rejects unit rootfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.21moderate · 1-step ahead inferrable|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=5.95)α=0.05 critical |t|=1.96 · α=0.01 |t|=2.58
ρ(k) = lag-k sample autocorrelation · H = R/S Hurst exponent · t = OLS-trend t-statistic. Significance bands at ±2/√n approximate the 95% white-noise envelope. α=0.05 critical |t|=1.96; α=0.01 |t|=2.58.

§6 · Microstructure

Market quality · two-sided pricing · activity
MICROSTRUCTURE · MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%
MARKET ID2176262
SLUGstrait-of-hormuz-traffic-returns-to-normal-by-july-31
CATEGORYStrait of Hormuz traffic returns to normal by July 31?
TWO-SIDED PRICING
PRIMARY · YES48.50¢implied prob 48.50% · decimal odds 2.06×
COUNTER · NO51.50¢implied prob 51.50% · decimal odds 1.94×
48.50¢
51.50¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME345.27k USD 24h
LIQUIDITY172.27k USD
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWBALANCED · ~50/50|primary − counter| = 0.030 · entropy 0.999 bits
LIQUIDITY DEPTHDEEP100k+ deep · 10k+ active · 1k+ modest · 100+ thin
Σ-sides = YES + NO implied probabilities. Perfect arb-free Σ = 100%. |1−Σ| > 2pp suggests synthetic outright arbitrage.

§7 · Position sizing & edge analysis

Probability split · YES vs NO · Kelly · entropy · arbitrage
FAIR MARKET · no edge
YES 48.5%NO 51.5%YES48.5%H = 0.999 / 1.00 bits
Probability scale (YES)
0%25%50%
fair
75%100%
Implied decimal odds
YES2.06×(49¢)NO1.94×(52¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.999 bits (100% of max) · maximum uncertainty (~50/50)
0 (certain)0.250.50.751.00 (max)
Σ-sides = 100.00% · |1 − Σ| = 0.00pp · tight cross-venue rounding
K* full = (b·p − q)/b · ½K and ¼K are conservative fractions of the full-Kelly bet. Entropy in bits — log₂(2)=1 is maximum uncertainty for a binary market.

§8 · Time decay & θ projection

Time decay & theta projection
⏱ URGENCY · DISTANTresolves 2026-07-31 00:00 UTC
40days
14hrs
14min
YES$1.00(P = 48.5%)
NO$0.00(P = 51.5%)
current: $0.4850 · expected return per side: $0.52 on YES hit · $0.48 on NO hit
0%25%50%75%100%YES $1NO $0NOW+20.3dRESOLVESP projection · σ=2.25% · path funnel to settle at YES=1 or NO=0
Theta progression · θ ∝ σ / √t_remainingθ_now = 11.011 pp/day
now40.59d left
11.011 pp/day×1.00
−25%30.45d left
12.714 pp/day×1.15
−50%20.30d left
15.572 pp/day×1.41
−75%10.15d left
22.022 pp/day×2.00
−90%4.06d left
34.820 pp/day×3.16
θ approximation: σ/√T (expected daily move magnitude). The cone shows ±√(p̂(1−p̂)) widening as time decays, funneling to {0, 1} at resolution. Theta accelerates as √(t_left)→0.

§9 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 3.50% · worst -4.00% · typical |Δ| 1.29%MILD BULLISH +2.00%BEST+3.50%3hWORST-4.00%1hTYPICAL |Δ|1.29%mean absoluteCUMULATIVE+2.00%Σ signed ΔSTREAK↘ 1down-runASIA · 00-08 UTCμ -0.57% · Σ -4.00%EUROPE · 08-16 UTCμ +0.62% · Σ +5.00%US · 16-24 UTCμ +0.25% · Σ +2.00%CUMULATIVE Δ PATH · final +2.00%+3.00%-5.00%-4.00% · 1h-4.00% · 1h-4.00%1h▼ WORST-0.50% · 2h-0.50% · 2h-0.50%2h3.50% · 3h3.50% · 3h3.50%3h★ BEST-2.00% · 4h-2.00% · 4h-2.00%4h-2.00% · 5h-2.00% · 5h-2.00%5h0.00% · 6h0.00% · 6h·6h1.00% · 7h1.00% · 7h1.00%7h1.00% · 8h1.00% · 8h1.00%8h3.00% · 9h3.00% · 9h3.00%9h-1.00% · 10h-1.00% · 10h-1.00%10h0.00% · 11h0.00% · 11h·11h-1.00% · 12h-1.00% · 12h-1.00%12h1.00% · 13h1.00% · 13h1.00%13h0.00% · 14h0.00% · 14h·14h2.00% · 15h2.00% · 15h2.00%15h-1.00% · 16h-1.00% · 16h-1.00%16h1.00% · 17h1.00% · 17h1.00%17h-1.00% · 18h-1.00% · 18h-1.00%18h1.00% · 19h1.00% · 19h1.00%19h0.00% · 20h0.00% · 20h·20h-1.00% · 21h-1.00% · 21h-1.00%21h1.00% · 22h1.00% · 22h1.00%22h2.00% · 23h2.00% · 23h2.00%23h-1.00% · 24h-1.00% · 24h-1.00%24hTIME PATTERNEurope-led (+5.00%)RUNSup max 3 · down max 2BREADTH42% up · 42% down · 17% flat
10 up bars · 10 down · best 3.50% · worst -4.00% · typical |Δ| 1.292%

§10 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +1.69%FINAL+1.69%MAX DD-5.05%RECOVERYONGOING · 14 barsMAX RUN-UP+2.71%UNDERWATER22/25 (88%)STREAK↘ 1EQUITY CURVE · end 1.0169 · peak 1.0271 · range [0.9495, 1.0271]1.02710.9495break-even = 1★ PEAK 1.0271UNDERWATER DRAWDOWN · max -5.05% · significant0%-5.05%▼ TROUGH -5.05%TOP DRAWDOWN PERIODS · 3 total#1 -5.05%bar 2-15 · 14 bars · recovered#2 -1.02%bar 17-23 · 7 bars · recovered#3 -1.00%bar 25-25 · 1 bars · ONGOINGDD SEVERITYsignificant (max -5.05%)RECOVERYongoing · 24 barsTIME UNDER WATER88% of session · 22/25 bars
final equity 1.0169 (1.69%) · max DD -5.05% · time-under-water 22/25 bars

§11 · Rolling-window statistics (w = 6 bars)

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +16 / −2 (84% positive) · μ=16.62 · σ=17.42PROFITABLE STRATEGYLAST 25.76 (+0.52σ vs μ)45.6722.830.00-22.83-45.67μ = 16.62-30.67-30.670.000.0011.1911.198.048.0417.8217.8245.6745.6730.8630.8630.8630.8620.7220.7213.3413.3413.3413.3425.7625.7625.7625.7625.7625.7625.7625.76-15.87-15.8715.8715.8725.7625.7625.7625.76v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 25.761 · range [-30.67, 45.67] · μ 16.617 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=137.3186 · σ=39.9315 · range [92.0217, 238.0084] · R²=0.756 FALLING -52.38%σ EXTREME 29.08%LAST 113.3490238.0084201.5117165.0151128.518492.0217μ = 137.3186max 238.0084min 92.0217dataMA(3)OLS R²=0.76μ lineμ ± σ bandmaxmin
latest 113.35% · range [92.02%, 238.01%] · μ 137.32% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +1 / −18 (5% positive) · μ=-0.299 · σ=0.303MEAN-REVERSIONLAST -0.242 (+0.19σ vs μ)0.7420.3710.000-0.371-0.742μ = -0.299-0.132-0.132-0.221-0.221-0.060-0.0600.4230.423-0.051-0.051-0.226-0.226-0.065-0.065-0.152-0.152-0.333-0.333-0.150-0.150-0.492-0.492-0.652-0.652-0.652-0.652-0.742-0.742-0.697-0.697-0.592-0.592-0.592-0.592-0.061-0.061-0.242-0.242v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.242 · |ρ| > 0.3 ⇒ regime with persistence (ρ > 0) or reversal (ρ < 0) · |ρ| ≤ 0.1 = consistent with random walk

§12 · Hypothesis tests (α = 0.05)

Formal inference at 5% significance
1 of 6 REJECT · mixed evidence1 reject·5 pass·α = 0.05
𝒩

Jarque-Bera

FAIL TO REJECTns

H₀: Δp ~ Normal(μ, σ²)

STATISTIC
0.3055
p-VALUE (log scale)
0.8583
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainednormality not rejected
ρ

Ljung-Box(h=5)

FAIL TO REJECTns

H₀: No serial autocorrelation up to lag 5

STATISTIC
3.5892
p-VALUE (log scale)
0.6123
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedconsistent with white noise
Ψ

Dickey-Fuller (τ_μ)

FAIL TO REJECTns

H₀: p has a unit root (non-stationary)

STATISTIC
-1.6569
p-VALUE (log scale)
0.4586
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedrandom-walk behaviour (crit ≈ -2.86)
±

Wald-Wolfowitz runs

FAIL TO REJECTns

H₀: Sign sequence of Δ is random

STATISTIC
0.9189
p-VALUE (log scale)
0.3581
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (13 runs)
χ

KPSS (μ stationarity)

REJECT H₀**

H₀: p IS level-stationary

STATISTIC
0.7450
p-VALUE (log scale)
0.0097
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-stationary (crit 0.463)
χ

Variance ratio q=3

FAIL TO REJECTns

H₀: Δp is a random walk · VR = 1

STATISTIC
-1.8229
p-VALUE (log scale)
0.0683
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.445 ≈ 1 (RW behaviour)
Each row states an explicit null H₀, the test statistic, an approximated p-value, and the decision. REJECT means evidence against H₀. KPSS complements ADF (rejecting both ⇒ ambiguous; rejecting one ⇒ clean verdict).

§13 · Spectral analysis (DFT periodogram)

Power spectrum of Δp · ‖X̂(k)‖²/n
n=12 bins · noise floor μ=3.02e-4 · top T=2.00h (19.5%) · top-3 cover 53.1%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)7.0e-45.3e-43.5e-41.8e-40.0e+0μ noise floor2× noise (significance)period 24.0 · power 1.15e-4 · 3.2% energyperiod 24.0 · power 1.15e-4 · 3.2% energyperiod 12.0 · power 9.69e-5 · 2.7% energyperiod 12.0 · power 9.69e-5 · 2.7% energyperiod 8.0 · power 8.39e-5 · 2.3% energyperiod 8.0 · power 8.39e-5 · 2.3% energyperiod 6.0 · power 3.64e-4 · 10.0% energyperiod 6.0 · power 3.64e-4 · 10.0% energyperiod 4.8 · power 6.42e-4 · 17.7% energyperiod 4.8 · power 6.42e-4 · 17.7% energyperiod 4.0 · power 5.77e-4 · 15.9% energyperiod 4.0 · power 5.77e-4 · 15.9% energyperiod 3.4 · power 5.21e-4 · 14.4% energyperiod 3.4 · power 5.21e-4 · 14.4% energyperiod 3.0 · power 2.32e-4 · 6.4% energyperiod 3.0 · power 2.32e-4 · 6.4% energyperiod 2.7 · power 8.69e-5 · 2.4% energyperiod 2.7 · power 8.69e-5 · 2.4% energyperiod 2.4 · power 5.72e-5 · 1.6% energyperiod 2.4 · power 5.72e-5 · 1.6% energyperiod 2.2 · power 1.39e-4 · 3.8% energyperiod 2.2 · power 1.39e-4 · 3.8% energyperiod 2.0 · power 7.04e-4 · 19.5% energyperiod 2.0 · power 7.04e-4 · 19.5% energy50% by T=4.0h#1 dominantT=2.00h#2T=4.80h#3T=4.00hT=2hT=3hT=4hT=6hT=8hT=12hT=16hT=24h← shorter cycle (high freq · Nyquist=½) · period T (bars per cycle) · longer cycle (low freq · 1/n) →#1 dominant#2 peak#3 peak> 2× noisenoiseμ floor2μ sig.cum energy
dominant period ≈ 2.00h (freq 0.500) · concentrates 19.5% of total energy · Σ|X̂|²/n = 3.619e-3

▸ Depth section using sovereign-store price series (5000 bars · effective 1752518 bars/year) — annualisation reflects native polling cadence, not upstream timeframes.

§14 · Honest position analytics

A binary-market analytics module framed in horizon time (days to resolution, not annualised). Estimators that need a model probability q as a first-class input (Kelly, KL divergence, Bayesian posterior, Mark-to-Market MC) only render when q is provided externally. Sweep an exploratory q at the interactive simulator →

§15 · Horizon returns

Returns · per bar / per day / per horizon
Horizon 40.6 d · σ/bar 0.177pp · expected |Δp| over horizon 5.52ppterminal variance p(1−p) = 0.2498 · n = 5000n = 5000
μ per bar
-0.001pp
average Δp · drift
σ per bar
0.177pp
one-bar volatility · logit-free
Per-day movedaily
0.87pp
σ × √24
Per-horizon move41d
5.52pp
σ × √974.2465902777778
Terminal variancebinary
0.2498
p(1−p) at resolution
Current pricep
48.5¢
latest snapshot
Note: annualised Sharpe/Sortino are omitted — they are not meaningful for a bounded fixed-horizon binary contract that snaps to {0, 1} at resolution.
Annualised metrics are intentionally omitted — they don't apply to bounded probability series that resolve at a fixed date.

§16 · Tail risk

VaR · ES · max drawdown
VaR₉₅ 0.29pp · ES₉₅ 0.37pp · method parametric · drift-correcteddrift -0.001pp/bar · quantised: yes · median step 0.50pp · unique ratio 0.00n = 5000
VaR 95%
0.29pp
1.645·σ (parametric) of Δp
ES 95%
0.37pp
mean of the tail
Max drawdown
21.8pp
peak 59.5¢ → trough 46.5¢
Median step
0.50pp
price bucket granularity
Price series is bucketed (cent grid). Empirical quantiles collapse to grid points — parametric N(0, σ²) used instead.
Empirical quantiles unless the price series is bucketed (PM cent grid), in which case parametric N(0, σ²) is used to avoid grid collapse.

§17 · Odds conversion

Odds conversion · every dialect a bettor thinks in
Implied probabilityP
48.5%
= price
Decimal oddsEU
2.062
total return per $1
AmericanUS
+106
$100 wins $106
FractionalUK
1.06 / 1
profit per $1 risked
Profit per $100stake
+$106.19
clean dollar framing
-1000-5000+500+1000020406080100you · 48.5%implied probability (%)American odds
underdog (+)favorite (-)your price
Price → implied probability → decimal odds → American moneyline → fractional. Five views of the same number, plus the moneyline curve.

§18 · Binary entropy

Binary entropy · uncertainty as bits of information
Market entropyH(p)
0.999 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.999 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
1.04 bit
self-information
Surprise · NO−log₂(1−p)
0.96 bit
self-information
0.000.260.530.791.050.00.20.40.60.81.0marketmodelprobabilityH (bits)
Market entropy only — model entropy requires an external q.

§19 · Model-dependent surfaces

§ Edge / Kelly / KL · no model probability provided

External model required

The position-economics, Kelly, KL-divergence, Bayesian and Monte-Carlo surfaces require a model probability q as input — a number independent of the market price p.

The previous build defaulted q to a tape-momentum heuristic derived from p; that produces apparent edge that is structurally guaranteed to be small and is not a useful skill signal. The auto-derived path has been removed.

To explore these surfaces with a hypothetical q, open the interactive simulator and drag the MODEL P(YES) slider. To wire a real model, POST to the NOSTRADAMUS hook (TBD) or pass ?q=… on the simulator URL.

§∞ · Provenance & attestation

Upstream (snapshot)
gamma-api.polymarket.com
Upstream (history)
clob.polymarket.com
YES token ID
106929013576622300718402895513457875547556389240247806666273814836599548721421
NO token ID
35600405023007026690792769618276046675588493623969149550929635257490271313011
Snapshot fetched
2026-06-20 09:45:08 UTC
Snapshot age
3.9s
History points
25 CLOB mids
Page rendered
2026-06-20 09:45:12 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
f2b1a4abd3f6af9e01ccf311f24f91ab6daad786f2c9134d4f66e68f3231976c · deterministic hash of source snapshot
Open data licence
CC0 / public domain

§∞-2 · Related markets · explore more

Also see: /arb opportunities · RSS feed · more in Strait of Hormuz traffic returns to normal by July 31?

Market depth

live order book · Polymarket YES
Depth within 1bp
$0
bid $0 · ask $0
Depth within 5bp
$0
bid $0 · ask $0
Depth within 10bp
$0
bid $0 · ask $0
Depth within 50bp
$0
bid $0 · ask $0
Mid price
0.485000
(best bid + best ask) / 2
Spread
206.2bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
+0.871
bid-heavy
Imbalance (top-5)
+0.438
bid-heavy top-of-book

Slippage scenarios

live book walk · Polymarket YES

Simulating a market order at three notionals against the live book. Slippage = avg execution price vs. mid, in basis points. Worst fill = price of the deepest level touched. Live JSON: /api/asset/pm-strait-of-hormuz-traffic-returns-to-normal-by-july-31/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.493956184.65bp0.5000002FILLED
BUY$10.00K0.520651735.07bp0.5400006FILLED
BUY$100.00K0.7249614947.65bp0.92000042FILLED
SELL$1.00K0.471859270.95bp0.4700002FILLED
SELL$10.00K0.457152574.19bp0.4500004FILLED
SELL$100.00K0.1162347603.43bp0.02000046FILLED

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 1.75M
Realized vol (annualised)
445.04%
σ per bar = 0.003362
Mean return (annualised)
-4726.41%
μ per bar = -0.000027
Sharpe (rf=0)
-10.62
annualised; risk-free assumed zero
Max drawdown
21.85%
peak 0.59 → trough 0.47 over 340 bars

/api/asset/pm-strait-of-hormuz-traffic-returns-to-normal-by-july-31/risk · same metrics, JSON