POLYMARKET · PREDICTION MARKET · CRYPTO

Bitcoin Up or Down on June 20?

YES · live
94.3¢
NO · live
5.7¢

▸ Advanced metrics · M2M bundle

polymarket · bitcoin-up-or-down-on-june-20-2026 · fresh · feed 12s old
24h sparkline · 60 pts
realized vol (ann.)
693.14%
max drawdown
24.31%
sharpe
ulcer index
8.75%
RMS drawdown
pain index
5.08%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
20.79%
cond. drawdown
gain/pain
1.22
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
1.22
upside/downside
roll spread
2.0 bps
implied (price-only)
bars used
1048
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/pm-bitcoin-up-or-down-on-june-20-2026/bundle · venue execution: polymarket
LIVEPOLL0SRCWARMING11.8s--:--:-- UTC8NEXT8.0sUP0s--:--HIST0/30
▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC WARMING·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC WARMING·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·
YES · live
94.3¢
NO · live
5.7¢
YES price · live 24h
n=25 · μ=0.6622 · σ=0.2003 · range [0.3650, 0.9445] · R²=0.775 RISING +90.81%σ EXTREME 30.24%LAST 0.94450.94450.79960.65470.50990.3650μ = 0.6622max 0.9445min 0.3650dataMA(5)OLS R²=0.78μ lineμ ± σ bandmaxminlive endpoint
25 ticks · last 94.45¢
YES / NO split · live
YES 94.3%NO 5.7%YES94.3%94.35¢ · odds 1/1.06
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.313 / 1.00 bits (31%) · informative — one side favoured
YES
94.3%94.3¢1.06× +0.00pp
NO
5.7%5.7¢17.70× +0.00pp
Σ 100.00% · arb gap 0.00pp
Per-tick activity · |Δp| in basis points · live
n=24 · Σ=18,895 · μ=787.3 · σ=692.6 · CV=0.88BURSTYcumulative energy ↗ · 50% by h=1305001,0001,5002,000μ = 7872,00050%h1h5h9h13h17h21#1 peak#2-3> μactivequietμ linecum energy
Σ 18895bp moved · peak 2000bp · n=24 ticks
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
11.8s
YES mid
94.35¢ (94.35%)
NO mid
5.65¢ (5.65%)
ΣΣ sides
100.00%
arb gap
0.000pp
$24h vol $
$197.6k
liquidity $
$28.6k
history points
25 ticks (live)

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

YES price · CLOB mid
n=25 · μ=0.6622 · σ=0.2003 · range [0.3650, 0.9445] · R²=0.775 RISING +90.81%σ EXTREME 30.24%LAST 0.94450.94450.79960.65470.50990.3650μ = 0.6622max 0.9445min 0.3650dataMA(5)OLS R²=0.78μ lineμ ± σ bandmaxmin
25 YES observations from clob.polymarket.com · last 94.45¢
NO price · CLOB mid
n=25 · μ=0.3380 · σ=0.2000 · range [0.0595, 0.6350] · R²=0.775 FALLING -88.22%σ EXTREME 59.18%LAST 0.05950.63500.49110.34730.20340.0595μ = 0.3380max 0.6350min 0.0595dataMA(5)OLS R²=0.77μ lineμ ± σ bandmaxmin
25 NO observations from clob.polymarket.com · last 5.95¢

§2 · Distribution of Δp

Histogram of hourly increments
n=24 · 10 bins · μ=0.0164 · σ=0.0981 · skew=-0.11 (symmetric) · kurt=-0.52 (mesokurtic)543102-17.05ppbin -17.05pp · n=2 · 40.0% peakbin -17.05pp · n=2 · 40.0% peak1-13.15ppbin -13.15pp · n=1 · 20.0% peakbin -13.15pp · n=1 · 20.0% peak1-9.25ppbin -9.25pp · n=1 · 20.0% peakbin -9.25pp · n=1 · 20.0% peak2-5.35ppbin -5.35pp · n=2 · 40.0% peakbin -5.35pp · n=2 · 40.0% peak5-1.45ppbin -1.45pp · n=5 · 100.0% peakbin -1.45pp · n=5 · 100.0% peak52.45ppbin 2.45pp · n=5 · 100.0% peakbin 2.45pp · n=5 · 100.0% peak16.35ppbin 6.35pp · n=1 · 20.0% peakbin 6.35pp · n=1 · 20.0% peak410.25ppbin 10.25pp · n=4 · 80.0% peakbin 10.25pp · n=4 · 80.0% peak14.15pp318.05ppbin 18.05pp · n=3 · 60.0% peakbin 18.05pp · n=3 · 60.0% 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=-0.04 · kurt=-0.34 · near 22 / mid 2 / far 0 · OLS slope=1.01 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=-1.64)
μ MEAN66.22¢95% CI: [58.37¢, 74.07¢]
σ STD DEV20.03ppσ² = 401.009 · CV = 30.24%
med MEDIAN70.50¢Q₁ 48.50¢ · Q₃ 84.50¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 36.50¢Q₁ 48.50¢med 70.50¢Q₃ 84.50¢max 94.45¢μ
SKEWNESS · G₁-0.004approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.640platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.21
σ × 1.349 ↔ IQRdiverges from normalratio = 0.75
range ↔ σconcentrated (range < 4σ)range / σ = 2.89
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 · ρ(1) -0.26 + ADF rejected
ρ(1) AUTOCORR-0.261within white-noise band
ρ(2) AUTOCORR-0.082lag-2 not significant
H · HURST EXPONENT0.723strongly persistent
OLS TREND · t-STAT+8.907significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.723STRONGLY 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=1-0.261k=2-0.082k=3-0.007k=4-0.365k=5+0.3350+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 · ρ(1) -0.26 + ADF rejectedfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.71very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=8.91)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 ID2596387
SLUGbitcoin-up-or-down-on-june-20-2026
CATEGORYCrypto
TWO-SIDED PRICING
PRIMARY · YES94.35¢implied prob 94.35% · decimal odds 1.06×
COUNTER · NO5.65¢implied prob 5.65% · decimal odds 17.70×
94.35¢
5.65¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME197.63k USD 24h
LIQUIDITY28.58k USD
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS YES (94¢)|primary − counter| = 0.887 · entropy 0.313 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 94.3%NO 5.7%YES94.3%H = 0.313 / 1.00 bits
Probability scale (YES)
0%25%50%
fair
75%100%
Implied decimal odds
YES1.06×(94¢)NO17.70×(6¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.313 bits (31% 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 · VERY HIGHresolves 2026-06-20 16:00 UTC
0days
03hrs
09min
YES$1.00(P = 94.3%)
NO$0.00(P = 5.6%)
current: $0.9435 · expected return per side: $0.06 on YES hit · $0.94 on NO hit
0%25%50%75%100%YES $1NO $0NOW+1.6hRESOLVESP projection · σ=20.03% · path funnel to settle at YES=1 or NO=0
Theta progression · θ ∝ σ / √t_remainingθ_now = 98.103 pp/day
now3.16h left
98.103 pp/day×1.00
−25%2.37h left
113.280 pp/day×1.15
−50%1.58h left
138.739 pp/day×1.41
−75%0.79h left
196.206 pp/day×2.00
−90%0.32h left
310.229 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 20.00% · worst -19.00% · typical |Δ| 7.87%MILD BULLISH +44.95%BEST+20.00%21hWORST-19.00%14hTYPICAL |Δ|7.87%mean absoluteCUMULATIVE+44.95%Σ signed ΔSTREAK↗ 4up-runASIA · 00-08 UTCμ -1.71% · Σ -12.00%EUROPE · 08-16 UTCμ +4.38% · Σ +35.00%US · 16-24 UTCμ +2.63% · Σ +21.00%CUMULATIVE Δ PATH · final +44.95%+44.95%-13.00%0.00% · 1h0.00% · 1h·1h0.00% · 2h0.00% · 2h·2h-2.00% · 3h-2.00% · 3h-2.00%3h-8.00% · 4h-8.00% · 4h-8.00%4h9.00% · 5h9.00% · 5h9.00%5h-4.00% · 6h-4.00% · 6h-4.00%6h-7.00% · 7h-7.00% · 7h-7.00%7h11.00% · 8h11.00% · 8h11.00%8h-12.00% · 9h-12.00% · 9h-12.00%9h20.00% · 10h20.00% · 10h20.00%10h19.00% · 11h19.00% · 11h19.00%11h0.00% · 12h0.00% · 12h·12h4.00% · 13h4.00% · 13h4.00%13h-19.00% · 14h-19.00% · 14h-19.00%14h▼ WORST12.00% · 15h12.00% · 15h12.00%15h9.00% · 16h9.00% · 16h9.00%16h3.00% · 17h3.00% · 17h3.00%17h6.00% · 18h6.00% · 18h6.00%18h-3.00% · 19h-3.00% · 19h-3.00%19h-17.00% · 20h-17.00% · 20h-17.00%20h20.00% · 21h20.00% · 21h20.00%21h★ BEST1.00% · 22h1.00% · 22h1.00%22h2.00% · 23h2.00% · 23h2.00%23h0.95% · 24h0.95% · 24h0.95%24hTIME PATTERNEurope-led (+35.00%)RUNSup max 4 · down max 2BREADTH54% up · 33% down · 13% flat
13 up bars · 8 down · best 20.00% · worst -19.00% · typical |Δ| 7.873%

§10 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +38.07%FINAL+38.07%MAX DD-19.49%RECOVERYFULLY RECOVEREDMAX RUN-UP+38.07%UNDERWATER15/25 (60%)STREAK↗ 4EQUITY CURVE · end 1.3807 · peak 1.3807 · range [0.8570, 1.3807]1.38070.8570break-even = 1★ PEAK 1.3807UNDERWATER DRAWDOWN · max -19.49% · severe0%-19.49%▼ TROUGH -19.49%TOP DRAWDOWN PERIODS · 3 total#1 -19.49%bar 20-24 · 5 bars · recovered#2 -19.00%bar 15-17 · 3 bars · recovered#3 -14.30%bar 4-10 · 7 bars · recoveredDD SEVERITYsevere (max -19.49%)RECOVERYfully recoveredTIME UNDER WATER60% of session · 15/25 bars
final equity 1.3807 (38.07%) · max DD -19.49% · time-under-water 15/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +15 / −4 (79% positive) · μ=14.18 · σ=20.34PROFITABLE STRATEGYLAST 5.20 (-0.44σ vs μ)53.5726.780.00-26.78-53.57μ = 14.18-13.75-13.75-30.37-30.37-1.91-1.91-17.99-17.9921.4721.4730.2530.2535.7535.7553.5753.5711.8011.8038.4638.4629.7629.7612.8412.8421.1921.1911.1211.1214.8614.8622.6322.6312.9312.9311.6511.655.205.20v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 5.203 · range [-30.37, 53.57] · μ 14.182 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=1069.9973 · σ=244.5063 · range [530.8295, 1484.5929] · R²=0.186 RISING +108.82%σ EXTREME 22.85%LAST 1108.45901484.59291246.15201007.7112769.2704530.8295μ = 1069.9973max 1484.5929min 530.8295dataMA(3)OLS R²=0.19μ lineμ ± σ bandmaxmin
latest 1108.46% · range [530.83%, 1484.59%] · μ 1070.00% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +2 / −17 (11% positive) · μ=-0.293 · σ=0.219MEAN-REVERSIONLAST -0.384 (-0.42σ vs μ)0.6070.3030.000-0.303-0.607μ = -0.293-0.582-0.582-0.411-0.411-0.426-0.426-0.607-0.607-0.565-0.565-0.119-0.119-0.319-0.319-0.307-0.307-0.021-0.0210.0150.015-0.234-0.234-0.302-0.302-0.279-0.279-0.214-0.2140.2870.287-0.309-0.309-0.387-0.387-0.398-0.398-0.384-0.384v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.384 · |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
0.0226
p-VALUE (log scale)
0.9888
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
9.8697
p-VALUE (log scale)
0.0781
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
-1.0051
p-VALUE (log scale)
0.7500
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
-0.4308
p-VALUE (log scale)
0.6666
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (10 runs)
χ

KPSS (μ stationarity)

REJECT H₀**

H₀: p IS level-stationary

STATISTIC
0.8227
p-VALUE (log scale)
0.0063
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
-1.1454
p-VALUE (log scale)
0.2521
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.651 ≈ 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=1.08e-2 · top T=2.67h (37.9%) · top-3 cover 65.2%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)4.9e-23.7e-22.5e-21.2e-20.0e+0μ noise floor2× noise (significance)period 24.0 · power 3.25e-3 · 2.5% energyperiod 24.0 · power 3.25e-3 · 2.5% energyperiod 12.0 · power 4.50e-3 · 3.5% energyperiod 12.0 · power 4.50e-3 · 3.5% energyperiod 8.0 · power 2.78e-3 · 2.1% energyperiod 8.0 · power 2.78e-3 · 2.1% energyperiod 6.0 · power 2.31e-2 · 17.8% energyperiod 6.0 · power 2.31e-2 · 17.8% energyperiod 4.8 · power 1.22e-2 · 9.4% energyperiod 4.8 · power 1.22e-2 · 9.4% energyperiod 4.0 · power 3.08e-4 · 0.2% energyperiod 4.0 · power 3.08e-4 · 0.2% energyperiod 3.4 · power 9.57e-3 · 7.4% energyperiod 3.4 · power 9.57e-3 · 7.4% energyperiod 3.0 · power 5.34e-4 · 0.4% energyperiod 3.0 · power 5.34e-4 · 0.4% energyperiod 2.7 · power 4.91e-2 · 37.9% energyperiod 2.7 · power 4.91e-2 · 37.9% energyperiod 2.4 · power 5.83e-3 · 4.5% energyperiod 2.4 · power 5.83e-3 · 4.5% energyperiod 2.2 · power 9.87e-3 · 7.6% energyperiod 2.2 · power 9.87e-3 · 7.6% energyperiod 2.0 · power 8.46e-3 · 6.5% energyperiod 2.0 · power 8.46e-3 · 6.5% energy50% by T=2.7h#1 dominantT=2.67h#2T=6.00h#3T=4.80hT=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 ≈ 2.67h (freq 0.375) · concentrates 37.9% of total energy · Σ|X̂|²/n = 1.296e-1

▸ Depth section using sovereign-store price series (1048 bars · effective 1752713 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 0.3 d · σ/bar 0.524pp · expected |Δp| over horizon 1.28ppterminal variance p(1−p) = 0.0520 · n = 1048n = 1048
μ per bar
+0.009pp
average Δp · drift
σ per bar
0.524pp
one-bar volatility · logit-free
Per-day movedaily
2.57pp
σ × √24
Per-horizon move0d
1.28pp
σ × √6
Terminal variancebinary
0.0520
p(1−p) at resolution
Current pricep
94.5¢
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 0.85pp · ES₉₅ 1.07pp · method parametric · drift-correcteddrift +0.009pp/bar · quantised: yes · median step 1.00pp · unique ratio 0.02n = 1048
VaR 95%
0.85pp
1.645·σ (parametric) of Δp
ES 95%
1.07pp
mean of the tail
Max drawdown
24.3pp
peak 90.5¢ → trough 68.5¢
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
94.3%
= price
Decimal oddsEU
1.060
total return per $1
AmericanUS
-1670
risk $1670 to win $100
FractionalUK
0.06 / 1
profit per $1 risked
Profit per $100stake
+$5.99
clean dollar framing
-1000-5000+500+1000020406080100you · 94.3%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)
0.313 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.313 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
0.08 bit
self-information
Surprise · NO−log₂(1−p)
4.15 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
17847716880005033584071641806708393122162161504457975970344068229195552593440
NO token ID
68848586858127002982485787929453354210679867821970040746697554683679287522540
Snapshot fetched
2026-06-20 12:50:20 UTC
Snapshot age
11.8s
History points
25 CLOB mids
Page rendered
2026-06-20 12:50:32 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
a3c84bfbd0602efe706d9d2661818b7db1096ff01219e934e008eca7f83d04fa · 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
$58
bid $19 · ask $39
Depth within 50bp
$259
bid $117 · ask $142
Mid price
0.940500
(best bid + best ask) / 2
Spread
10.6bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
+0.384
bid-heavy
Imbalance (top-5)
+0.031
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-up-or-down-on-june-20-2026/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.94855185.60bp0.95000010FILLED
BUY$10.00K0.951849120.67bp0.97000013FILLED
BUY$100.00K0.985315476.51bp0.99900026PARTIAL
SELL$1.00K0.926334150.62bp0.9240008FILLED
SELL$10.00K0.914463276.85bp0.84000025FILLED
SELL$100.00K0.2163257699.90bp0.00100062PARTIAL

Risk metrics

sovereign store · 1,048 barsperiods/year ≈ 1.75M
Realized vol (annualised)
852.93%
σ per bar = 0.006443
Mean return (annualised)
16754.31%
μ per bar = 0.000096
Sharpe (rf=0)
19.64
annualised; risk-free assumed zero
Max drawdown
24.31%
peak 0.91 → trough 0.69 over 217 bars

/api/asset/pm-bitcoin-up-or-down-on-june-20-2026/risk · same metrics, JSON