POLYMARKET · PREDICTION MARKET · CRYPTO

Will the price of Bitcoin be above $66,000 on June 15?

YES · live
8.5¢
NO · live
91.5¢

▸ Advanced metrics · M2M bundle

polymarket · bitcoin-above-66k-on-june-15-2026 · fresh · feed 0s old
24h sparkline · 60 pts
realized vol (ann.)
177.64%
max drawdown
45.16%
sharpe
ulcer index
21.55%
RMS drawdown
pain index
16.59%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
45.16%
cond. drawdown
gain/pain
0.73
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.73
upside/downside
roll spread
3.3 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/pm-bitcoin-above-66k-on-june-15-2026/bundle · venue execution: polymarket
LIVEPOLL0SRCFRESH3ms--:--:-- 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
8.5¢
NO · live
91.5¢
YES price · live 24h
n=25 · μ=0.1234 · σ=0.0201 · range [0.0850, 0.1550] · R²=0.017 FALLING -9.52%σ EXTREME 16.32%LAST 0.09500.15500.13750.12000.10250.0850μ = 0.1234max 0.1550min 0.0850dataMA(5)OLS R²=0.02μ lineμ ± σ bandmaxminlive endpoint
25 ticks · last 9.50¢
YES / NO split · live
YES 8.5%NO 91.5%NO91.5%91.50¢ · odds 1/1.09
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.420 / 1.00 bits (42%) · informative — one side favoured
YES
8.5%8.5¢11.76× +0.00pp
NO
91.5%91.5¢1.09× +0.00pp
Σ 100.00% · arb gap 0.00pp
Per-tick activity · |Δp| in basis points · live
n=24 · Σ=2,300 · μ=95.8 · σ=99.9 · CV=1.04BURSTY · concentratedcumulative energy ↗ · 50% by h=160100200300400μ = 9640050%h1h5h9h13h17h21#1 peak#2-3> μactivequietμ linecum energy
Σ 2300bp moved · peak 400bp · n=24 ticks
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
3ms
YES mid
8.50¢ (8.50%)
NO mid
91.50¢ (91.50%)
ΣΣ sides
100.00%
arb gap
0.000pp
$24h vol $
$54.5k
liquidity $
$31.5k
history points
25 ticks (live)

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

YES price · CLOB mid
n=25 · μ=0.1234 · σ=0.0201 · range [0.0850, 0.1550] · R²=0.017 FALLING -9.52%σ EXTREME 16.32%LAST 0.09500.15500.13750.12000.10250.0850μ = 0.1234max 0.1550min 0.0850dataMA(5)OLS R²=0.02μ lineμ ± σ bandmaxmin
25 YES observations from clob.polymarket.com · last 9.50¢
NO price · CLOB mid
n=25 · μ=0.8766 · σ=0.0201 · range [0.8450, 0.9150] · R²=0.017 RISING +1.12%σ NORMAL 2.30%LAST 0.90500.91500.89750.88000.86250.8450μ = 0.8766max 0.9150min 0.8450dataMA(5)OLS R²=0.02μ lineμ ± σ bandmaxmin
25 NO observations from clob.polymarket.com · last 90.50¢

§2 · Distribution of Δp

Histogram of hourly increments
n=24 · 10 bins · μ=-0.0007 · σ=0.0129 · skew=-0.76 (left-skewed) · kurt=0.59 (mesokurtic)975201-3.70ppbin -3.70pp · n=1 · 11.1% peakbin -3.70pp · n=1 · 11.1% peak-3.10pp-2.50pp2-1.90ppbin -1.90pp · n=2 · 22.2% peakbin -1.90pp · n=2 · 22.2% peak2-1.30ppbin -1.30pp · n=2 · 22.2% peakbin -1.30pp · n=2 · 22.2% peak2-0.70ppbin -0.70pp · n=2 · 22.2% peakbin -0.70pp · n=2 · 22.2% peak9-0.10ppbin -0.10pp · n=9 · 100.0% peakbin -0.10pp · n=9 · 100.0% peak0.50pp51.10ppbin 1.10pp · n=5 · 55.6% peakbin 1.10pp · n=5 · 55.6% peak31.70ppbin 1.70pp · n=3 · 33.3% peakbin 1.70pp · n=3 · 33.3% 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=-0.80 · kurt=0.99 · near 18 / mid 6 / far 0 · OLS slope=0.98 intercept=-0.00APPROXIMATELY NORMALUPPER 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=-1.12)
μ MEAN12.34¢95% CI: [11.55¢, 13.13¢]
σ STD DEV2.01ppσ² = 4.057 · CV = 16.32%
med MEDIAN11.50¢Q₁ 11.50¢ · Q₃ 14.50¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 8.50¢Q₁ 11.50¢med 11.50¢Q₃ 14.50¢max 15.50¢μ
SKEWNESS · G₁0.063approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.116platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.42
σ × 1.349 ↔ IQRconsistent with normalratio = 0.91
range ↔ σconcentrated (range < 4σ)range / σ = 3.48
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: TRENDING · variance ratio > 1
ρ(1) AUTOCORR-0.002within white-noise band
ρ(2) AUTOCORR+0.221lag-2 not significant
H · HURST EXPONENT1.048strongly persistent
OLS TREND · t-STAT-0.625fails 5% test
HURST EXPONENT [0, 1]
H = 1.048STRONGLY PERSISTENT
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=1-0.002k=2+0.221k=3-0.067k=4-0.334k=5-0.2430+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 CLASSIFICATIONTRENDING · variance ratio > 1from Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 1.00very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCENOT SIGNIFICANT (|t|=0.63)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 ID2471077
SLUGbitcoin-above-66k-on-june-15-2026
CATEGORYCrypto
TWO-SIDED PRICING
PRIMARY · YES8.50¢implied prob 8.50% · decimal odds 11.76×
COUNTER · NO91.50¢implied prob 91.50% · decimal odds 1.09×
8.50¢
91.50¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME54.46k USD 24h
LIQUIDITY31.53k USD
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (92¢)|primary − counter| = 0.830 · entropy 0.420 bits
LIQUIDITY DEPTHACTIVE100k+ 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 8.5%NO 91.5%YES8.5%H = 0.420 / 1.00 bits
Probability scale (YES)
0%25%50%
fair
75%100%
Implied decimal odds
YES11.76×(9¢)NO1.09×(92¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.420 bits (42% of max) · informative — one side strongly favoured
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 · HIGHresolves 2026-06-15 16:00 UTC
0days
23hrs
50min
YES$1.00(P = 8.5%)
NO$0.00(P = 91.5%)
current: $0.0850 · expected return per side: $0.92 on YES hit · $0.09 on NO hit
0%25%50%75%100%YES $1NO $0NOW+11.9hRESOLVESP projection · σ=2.01% · path funnel to settle at YES=1 or NO=0
Theta progression · θ ∝ σ / √t_remainingθ_now = 9.867 pp/day
now23.85h left
9.867 pp/day×1.00
−25%17.89h left
11.394 pp/day×1.15
−50%11.92h left
13.954 pp/day×1.41
−75%5.96h left
19.734 pp/day×2.00
−90%2.38h left
31.203 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 2.00% · worst -4.00% · typical |Δ| 0.96%BEARISH SESSION -1.00%BEST+2.00%5hWORST-4.00%20hTYPICAL |Δ|0.96%mean absoluteCUMULATIVE-1.00%Σ signed ΔSTREAK↗ 1up-runASIA · 00-08 UTCμ +0.43% · Σ +3.00%EUROPE · 08-16 UTCμ -0.25% · Σ -2.00%US · 16-24 UTCμ -0.38% · Σ -3.00%CUMULATIVE Δ PATH · final -1.00%+5.00%-2.00%0.00% · 1h0.00% · 1h·1h0.00% · 2h0.00% · 2h·2h1.00% · 3h1.00% · 3h1.00%3h0.00% · 4h0.00% · 4h·4h2.00% · 5h2.00% · 5h2.00%5h★ BEST-1.00% · 6h-1.00% · 6h-1.00%6h1.00% · 7h1.00% · 7h1.00%7h2.00% · 8h2.00% · 8h2.00%8h0.00% · 9h0.00% · 9h·9h-1.00% · 10h-1.00% · 10h-1.00%10h0.00% · 11h0.00% · 11h·11h-2.00% · 12h-2.00% · 12h-2.00%12h-1.00% · 13h-1.00% · 13h-1.00%13h0.00% · 14h0.00% · 14h·14h0.00% · 15h0.00% · 15h·15h1.00% · 16h1.00% · 16h1.00%16h2.00% · 17h2.00% · 17h2.00%17h0.00% · 18h0.00% · 18h·18h1.00% · 19h1.00% · 19h1.00%19h-4.00% · 20h-4.00% · 20h-4.00%20h▼ WORST0.00% · 21h0.00% · 21h·21h-2.00% · 22h-2.00% · 22h-2.00%22h-1.00% · 23h-1.00% · 23h-1.00%23h1.00% · 24h1.00% · 24h1.00%24hTIME PATTERNAsia-led (+3.00%)RUNSup max 2 · down max 2BREADTH33% up · 29% down · 38% flat
8 up bars · 7 down · best 2.00% · worst -4.00% · typical |Δ| 0.958%

§10 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS WITH MODERATE DD (-1.22%)FINAL-1.22%MAX DD-6.92%RECOVERYONGOING · 15 barsMAX RUN-UP+5.07%UNDERWATER17/25 (68%)STREAK↗ 1EQUITY CURVE · end 0.9878 · peak 1.0507 · range [0.9780, 1.0507]1.05070.9780break-even = 1★ PEAK 1.0507UNDERWATER DRAWDOWN · max -6.92% · significant0%-6.92%▼ TROUGH -6.92%TOP DRAWDOWN PERIODS · 2 total#1 -6.92%bar 11-25 · 15 bars · ONGOING#2 -1.00%bar 7-8 · 2 bars · recoveredDD SEVERITYsignificant (max -6.92%)RECOVERYongoing · 15 barsTIME UNDER WATER68% of session · 17/25 bars
final equity 0.9878 (-1.22%) · max DD -6.92% · time-under-water 17/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +8 / −7 (42% positive) · μ=1.42 · σ=44.71MIXED EDGELAST -40.19 (-0.93σ vs μ)76.4238.210.00-38.21-76.42μ = 1.4230.2130.2144.6244.6266.7266.7251.5251.5233.9533.9513.3413.340.000.00-22.83-22.83-76.42-76.42-76.42-76.42-30.21-30.210.000.0030.2130.2176.4276.420.000.000.000.00-21.59-21.59-52.32-52.32-40.19-40.19v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -40.188 · range [-76.42, 76.42] · μ 1.422 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=127.1499 · σ=42.2487 · range [76.4199, 202.9088] · R²=0.369 RISING +87.92%σ EXTREME 33.23%LAST 181.6480202.9088171.2866139.6644108.042176.4199μ = 127.1499max 202.9088min 76.4199dataMA(3)OLS R²=0.37μ lineμ ± σ bandmaxmin
latest 181.65% · range [76.42%, 202.91%] · μ 127.15% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +6 / −13 (32% positive) · μ=-0.187 · σ=0.324MEAN-REVERSIONLAST -0.506 (-0.98σ vs μ)0.7730.3860.000-0.386-0.773μ = -0.187-0.583-0.583-0.773-0.773-0.492-0.492-0.561-0.561-0.237-0.2370.0930.0930.2000.2000.0950.095-0.333-0.333-0.133-0.1330.1670.1670.4000.4000.1670.167-0.133-0.133-0.091-0.091-0.091-0.091-0.245-0.245-0.500-0.500-0.506-0.506v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.506 · |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
ALL TESTS PASS · data behaves as nominal0 reject·6 pass·α = 0.05
𝒩

Jarque-Bera

FAIL TO REJECTns

H₀: Δp ~ Normal(μ, σ²)

STATISTIC
5.2934
p-VALUE (log scale)
0.0709
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
6.9393
p-VALUE (log scale)
0.2241
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
-1.5672
p-VALUE (log scale)
0.5013
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
-0.7898
p-VALUE (log scale)
0.4297
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (7 runs)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.1624
p-VALUE (log scale)
0.4224
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedstationary not rejected (crit 0.463)
χ

Variance ratio q=3

FAIL TO REJECTns

H₀: Δp is a random walk · VR = 1

STATISTIC
0.8040
p-VALUE (log scale)
0.4214
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 1.245 ≈ 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=2.08e-4 · top T=2.00h (20.2%) · top-3 cover 58.4%BROADBAND · 4 CYCLEScumulative energy ↗ (4 bins above 2× noise)5.0e-43.8e-42.5e-41.3e-40.0e+0μ noise floor2× noise (significance)period 24.0 · power 1.08e-4 · 4.3% energyperiod 24.0 · power 1.08e-4 · 4.3% energyperiod 12.0 · power 4.78e-4 · 19.1% energyperiod 12.0 · power 4.78e-4 · 19.1% energyperiod 8.0 · power 4.31e-4 · 17.2% energyperiod 8.0 · power 4.31e-4 · 17.2% energyperiod 6.0 · power 1.67e-5 · 0.7% energyperiod 6.0 · power 1.67e-5 · 0.7% energyperiod 4.8 · power 5.46e-5 · 2.2% energyperiod 4.8 · power 5.46e-5 · 2.2% energyperiod 4.0 · power 2.08e-5 · 0.8% energyperiod 4.0 · power 2.08e-5 · 0.8% energyperiod 3.4 · power 1.58e-4 · 6.3% energyperiod 3.4 · power 1.58e-4 · 6.3% energyperiod 3.0 · power 1.67e-5 · 0.7% energyperiod 3.0 · power 1.67e-5 · 0.7% energyperiod 2.7 · power 4.78e-4 · 19.1% energyperiod 2.7 · power 4.78e-4 · 19.1% energyperiod 2.4 · power 1.89e-4 · 7.6% energyperiod 2.4 · power 1.89e-4 · 7.6% energyperiod 2.2 · power 4.62e-5 · 1.8% energyperiod 2.2 · power 4.62e-5 · 1.8% energyperiod 2.0 · power 5.04e-4 · 20.2% energyperiod 2.0 · power 5.04e-4 · 20.2% energy50% by T=3.4h#1 dominantT=2.00h#2T=2.67h#3T=12.00hT=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 20.2% of total energy · Σ|X̂|²/n = 2.500e-3

▸ Depth section using sovereign-store price series (2311 bars · effective 1752908 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 1.0 d · σ/bar 0.132pp · expected |Δp| over horizon 0.64ppterminal variance p(1−p) = 0.0778 · n = 2311n = 2311
μ per bar
-0.003pp
average Δp · drift
σ per bar
0.132pp
one-bar volatility · logit-free
Per-day movedaily
0.64pp
σ × √24
Per-horizon move1d
0.64pp
σ × √23.848281944444444
Terminal variancebinary
0.0778
p(1−p) at resolution
Current pricep
8.5¢
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 0.22pp · ES₉₅ 0.27pp · method parametric · drift-correcteddrift -0.003pp/bar · quantised: yes · median step 1.00pp · unique ratio 0.00n = 2311
VaR 95%
0.22pp
1.645·σ (parametric) of Δp
ES 95%
0.27pp
mean of the tail
Max drawdown
45.2pp
peak 15.5¢ → trough 8.5¢
Median step
1.00pp
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
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
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)
0.420 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.420 bit
Δ +0.000 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)
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
99385869089748060883493187425940291327898126813273757696122822367733187131189
NO token ID
34046587126672591731510127747802989750889246314517806860849995609139993615607
Snapshot fetched
2026-06-14 16:09:06 UTC
Snapshot age
3ms
History points
25 CLOB mids
Page rendered
2026-06-14 16:09:06 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
02daf79f136ffd1bf8f258b9139e83110dfc813673ef8bf208989e91e1612f87 · deterministic hash of source snapshot
Open data licence
CC0 / public domain

§∞-2 · Related markets · explore more

Also see: /arb opportunities · RSS feed · more in Crypto

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
0.095000
(best bid + best ask) / 2
Spread
1052.6bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.570
ask-heavy
Imbalance (top-5)
+0.108
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-bitcoin-above-66k-on-june-15-2026/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.1071731281.34bp0.1100002FILLED
BUY$10.00K0.31983523666.81bp0.76000030FILLED
BUY$100.00K0.77187871250.27bp0.99000039PARTIAL
SELL$1.00K0.0737392237.96bp0.0600004FILLED
SELL$10.00K0.0544754265.84bp0.0100009PARTIAL
SELL$100.00K0.0544754265.84bp0.0100009PARTIAL

Risk metrics

sovereign store · 2,311 barsperiods/year ≈ 1.75M
Realized vol (annualised)
1451.81%
σ per bar = 0.010966
Mean return (annualised)
-40528.03%
μ per bar = -0.000231
Sharpe (rf=0)
-27.92
annualised; risk-free assumed zero
Max drawdown
45.16%
peak 0.15 → trough 0.09 over 828 bars

/api/asset/pm-bitcoin-above-66k-on-june-15-2026/risk · same metrics, JSON