HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #181

Colombia

Primary · Yes
1.6¢
Counter · No
98.4¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-colombia-181 · fresh · feed 1s old
24h sparkline · 60 pts
realized vol (ann.)
2.59%
max drawdown
3.17%
sharpe
ulcer index
0.90%
RMS drawdown
pain index
0.32%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
3.13%
cond. drawdown
gain/pain
0.01
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.01
upside/downside
roll spread
0.3 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/hl-pred-colombia-181/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH1.1s--:--:-- 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 mid · live
1.6¢
No mid · live
98.4¢
Yes · live 24h price
n=25 · μ=0.0166 · σ=0.0007 · range [0.0152, 0.0180] · R²=0.000 FALLING -15.64%σ NORMAL 4.11%LAST 0.01520.01800.01730.01660.01590.0152μ = 0.0166max 0.0180min 0.0152dataMA(5)OLS R²=0.00μ lineμ ± σ bandmaxminlive endpoint
25 bars · close 1.52¢ · 24h -15.64%
Probability split · live
Yes 1.6%No 98.4%NO98.4%98.37¢ · odds 1/1.02
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.120 / 1.00 bits (12%) · informative — one side favoured
Yes
1.6%1.6¢61.24× +0.00pp
No
98.4%98.4¢1.02× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=25 · Σ=49,133 · μ=1965.3 · σ=8619.6 · CV=4.39BURSTY · concentratedcumulative energy ↗ · 50% by h=15010,80421,60832,41243,216μ = 196543,21650%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
Σ 49133 · peak 43216
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
1.1s
Yes mid
1.633¢
No mid
98.367¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
25 bars
Δ24h close
1.52¢
Δ24h change
-15.64%

§1 · 24h time-series

Mid price · Yes (25 hourly observations)
n=25 · μ=0.0166 · σ=0.0007 · range [0.0152, 0.0180] · R²=0.000 FALLING -15.64%σ NORMAL 4.11%LAST 0.01520.01800.01730.01660.01590.0152μ = 0.0166max 0.0180min 0.0152dataMA(5)OLS R²=0.00μ lineμ ± σ bandmaxmin
range [1.52¢, 1.80¢] · span 0.28pp · MA(5) latest 1.60¢
Candlestick · open / high / low / close per hour
n=25 · up 24 · down 1 (96% up) · range [0.0152, 0.0180] · σ=0.0007 · CV=0.04 · bodyµ=8%BEARISH -15.64%CLOSE 0.0152 vs OPEN 0.0180 (-15.64%)&#9660; CLOSE 0.01520.01800.01730.01660.01590.0152μ close = 0.0166O0.018 H0.018 L0.018 C0.018 (+0.00%)O0.018 H0.018 L0.018 C0.018 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.017 H0.018 L0.017 C0.018 (+0.11%)O0.017 H0.018 L0.017 C0.018 (+0.11%)O0.018 H0.018 L0.018 C0.018 (+0.00%)O0.018 H0.018 L0.018 C0.018 (+0.00%)O0.018 H0.018 L0.018 C0.018 (+0.00%)O0.018 H0.018 L0.018 C0.018 (+0.00%)O0.018 H0.018 L0.018 C0.018 (+0.00%)O0.018 H0.018 L0.018 C0.018 (+0.00%)O0.018 H0.018 L0.018 C0.018 (+0.00%)O0.018 H0.018 L0.018 C0.018 (+0.00%)O0.018 H0.018 L0.018 C0.018 (+0.00%)O0.018 H0.018 L0.018 C0.018 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)O0.016 H0.016 L0.016 C0.016 (+0.00%)-6.2%O0.016 H0.016 L0.015 C0.015 (-6.23%)O0.016 H0.016 L0.015 C0.015 (-6.23%)#1#5#9#13#17#21#25up bar (C≥O)down bar (C<O)MA(5) closeμ closedoji (~no body)biggest body
25 bars · last close 1.52¢
Hourly traded contracts
n=25 · Σ=49,133 · μ=1965.3 · σ=8619.6 · CV=4.39BURSTY · concentratedcumulative energy &nearr; · 50% by h=15010,80421,60832,41243,216μ = 19650 · 0.0% peak0 · 0.0% peak200 · 0.5% peak200 · 0.5% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak43,21643,216 · 100.0% peak43,216 · 100.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak1,099 · 2.5% peak1,099 · 2.5% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak2,595 · 6.0% peak2,595 · 6.0% peak2,023 · 4.7% peak2,023 · 4.7% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 49133 · peak 43216 · mean 1965.3

§2 · Distribution of one-bar increments Δp = pₜ − pₜ₋₁

Histogram of Δp
n=24 · 12 bins · μ=-0.0000 · σ=0.0005 · skew=-1.54 (left-skewed) · kurt=3.62 (leptokurtic (fat tails))201510501-0.17ppbin -0.17pp · n=1 · 5.0% peakbin -0.17pp · n=1 · 5.0% peak-0.14pp1-0.12ppbin -0.12pp · n=1 · 5.0% peakbin -0.12pp · n=1 · 5.0% peak1-0.09ppbin -0.09pp · n=1 · 5.0% peakbin -0.09pp · n=1 · 5.0% peak-0.06pp-0.04pp-0.01pp200.01ppbin 0.01pp · n=20 · 100.0% peakbin 0.01pp · n=20 · 100.0% peak0.04pp0.06pp0.09pp10.11ppbin 0.11pp · n=1 · 5.0% peakbin 0.11pp · n=1 · 5.0% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 1 · negative 3
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=-1.10 · kurt=3.59 · near 6 / mid 13 / far 5 · OLS slope=0.76 intercept=-0.00LEPTOKURTIC — FAT TAILSTHIN UPPER TAILMILDLY HEAVY LOWER-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 (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25RIGHT-SKEWED (G₁=0.62)
μ MEAN1.66¢95% CI: [1.63¢, 1.68¢]
σ STD DEV0.07ppσ² = 46.287×10⁻⁴ · CV = 4.11%
med MEDIAN1.62¢Q₁ 1.62¢ · Q₃ 1.75¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 1.52¢Q₁ 1.62¢med 1.62¢Q₃ 1.75¢max 1.80¢μ
SKEWNESS · G₁0.616right-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂-0.625mesokurtic · normal-like
−30+2+4+6
μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.50
σ × 1.349 ↔ IQRdiverges from normalratio = 0.72
range ↔ σwide tails (range > 4σ)range / σ = 4.14
μ = mean · σ = standard deviation · CV = coefficient of variation · skew (G₁): >0 right-tail · kurt (G₂, excess): >0 leptokurtic. 95% CI uses 1.96·SE around μ. σ × 1.349 ≈ IQR under normality.

§6 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ADF rejects unit root
ρ(1) AUTOCORR-0.002within white-noise band
ρ(2) AUTOCORR-0.004lag-2 not significant
H · HURST EXPONENT0.836strongly persistent
OLS TREND · t-STAT+0.033fails 5% test
HURST EXPONENT [0, 1]
H = 0.836STRONGLY 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=2-0.004k=3-0.006k=4+0.173k=5+0.0110+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 0.67very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCENOT SIGNIFICANT (|t|=0.03)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.

§7 · Microstructure

Market quality · two-sided pricing · activity
MICROSTRUCTURE · MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%
OUTCOME ID#181
SLUGcolombia-181
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES1.63¢implied prob 1.63% · decimal odds 61.24×
COUNTER · NO98.37¢implied prob 98.37% · decimal odds 1.02×
1.63¢
98.37¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME49.13k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (98¢)|primary − counter| = 0.967 · entropy 0.120 bits
LIQUIDITY DEPTHACTIVE100k+ deep · 10k+ active · 1k+ modest · 100+ thin
Σ-sides = primary + counter implied probabilities. Perfect arb-free Σ = 100%. |1−Σ| > 2pp suggests synthetic outright arbitrage.

§8 · Position sizing & edge analysis

Yes vs No · Kelly · entropy · arbitrage
FAIR MARKET · no edge
Yes 1.6%No 98.4%YES1.6%H = 0.120 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes61.24×(2¢)No1.02×(98¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.120 bits (12% 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 where b = (1−p̂)/p̂ are the net odds implied by p̂. ½K and ¼K are industry-standard conservative fractions.

§9 · Resolution criteria

This outcome resolves to Yes if Colombia is officially declared the 2026 FIFA World Cup champion.

§10 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 0.13% · worst -0.18% · typical |Δ| 0.02%MILD BEARISH -0.28%BEST+0.13%04hWORST-0.18%15hTYPICAL |Δ|0.02%mean absoluteCUMULATIVE-0.28%Σ signed ΔSTREAK↘ 1down-runASIA · 00-08 UTCμ +0.02% · Σ +0.13%EUROPE · 08-16 UTCμ -0.05% · Σ -0.41%US · 16-24 UTCμ +0.00% · Σ +0.00%CUMULATIVE Δ PATH · final -0.28%+0.00%-0.28%-0.18% · 15h-0.18% · 15h-0.18%15h▼ WORST0.00% · 16h0.00% · 16h·16h0.00% · 17h0.00% · 17h·17h0.00% · 18h0.00% · 18h·18h0.00% · 19h0.00% · 19h·19h0.00% · 20h0.00% · 20h·20h0.00% · 21h0.00% · 21h·21h0.00% · 22h0.00% · 22h·22h0.00% · 23h0.00% · 23h·23h0.00% · 00h0.00% · 00h·00h0.00% · 01h0.00% · 01h·01h0.00% · 02h0.00% · 02h·02h0.00% · 03h0.00% · 03h·03h0.13% · 04h0.13% · 04h0.13%04h★ BEST0.00% · 05h0.00% · 05h·05h0.00% · 06h0.00% · 06h·06h0.00% · 07h0.00% · 07h·07h0.00% · 08h0.00% · 08h·08h0.00% · 09h0.00% · 09h·09h-0.13% · 10h-0.13% · 10h-0.13%10h0.00% · 11h0.00% · 11h·11h0.00% · 12h0.00% · 12h·12h0.00% · 13h0.00% · 13h·13h-0.10% · 14h-0.10% · 14h-0.10%14hTIME PATTERNAsia-led (+0.13%)RUNSup max 1 · down max 1BREADTH4% up · 13% down · 83% flat
1 up bars · 3 down · best 0.13% · worst -0.18% · typical |Δ| 0.022%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS · SHALLOW DD (-0.28%)FINAL-0.28%MAX DD-0.28%RECOVERYONGOING · 24 barsMAX RUN-UP+0.00%UNDERWATER24/25 (96%)STREAK↘ 1EQUITY CURVE · end 0.9972 · peak 1.0000 · range [0.9972, 1.0000]1.00000.9972break-even = 1★ PEAK 1.0000UNDERWATER DRAWDOWN · max -0.28% · shallow0%-0.28%▼ TROUGH -0.28%TOP DRAWDOWN PERIODS · 1 total#1 -0.28%bar 2-25 · 24 bars · ONGOINGDD SEVERITYshallow (max -0.28%)RECOVERYongoing · 24 barsTIME UNDER WATER96% of session · 24/25 bars
final equity 0.9972 (-0.28%) · max DD -0.28% · time-under-water 24/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +6 / −6 (32% positive) · μ=-1.14 · σ=33.02UNPROFITABLE STRATEGYLAST -59.96 (-1.78σ vs μ)59.9629.980.00-29.98-59.96μ = -1.14-38.21-38.210.000.000.000.000.000.000.000.000.000.000.000.000.000.0038.2138.2138.2138.2138.2138.2138.2138.2138.2138.2138.2138.21-38.21-38.21-38.21-38.21-38.21-38.21-38.21-38.21-59.96-59.96v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -59.963 · range [-59.96, 38.21] · μ -1.145 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=3.2014 · σ=2.5567 · range [0.0000, 6.8778] · R²=0.368 FALLING -18.93%σ EXTREME 79.86%LAST 5.57576.87785.15833.43891.71940.0000μ = 3.2014max 6.8778min 0.0000dataMA(3)OLS R²=0.37μ lineμ ± σ bandmaxmin
latest 5.58% · range [0.00%, 6.88%] · μ 3.20% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +0 / −12 (0% positive) · μ=-0.112 · σ=0.123MEAN-REVERSIONLAST -0.353 (-1.96σ vs μ)0.3530.1770.000-0.177-0.353μ = -0.112-0.033-0.0330.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000-0.033-0.033-0.233-0.233-0.233-0.233-0.233-0.233-0.233-0.233-0.033-0.033-0.033-0.033-0.233-0.233-0.233-0.233-0.233-0.233-0.353-0.353v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.353 · |ρ| > 0.3 ⇒ regime with persistence (ρ > 0) or reversal (ρ < 0) · |ρ| ≤ 0.1 = consistent with random walk

§13 · Hypothesis tests (α = 0.05)

Formal inference at 5% significance
1 of 5 REJECT · mixed evidence1 reject·4 pass·1 n/a·α = 0.05
𝒩

Jarque-Bera

REJECT H₀***

H₀: Δp ~ Normal(μ, σ²)

STATISTIC
28.2651
p-VALUE (log scale)
< 0.0001
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-normal · fat tails or skew present
ρ

Ljung-Box(h=5)

FAIL TO REJECTns

H₀: No serial autocorrelation up to lag 5

STATISTIC
0.9443
p-VALUE (log scale)
0.9649
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
-2.4342
p-VALUE (log scale)
0.1399
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedrandom-walk behaviour (crit ≈ -2.86)
±

Wald-Wolfowitz runs

N/An/a

H₀: Sign sequence of Δ is random

STATISTIC
p-VALUE (log scale)
no decision possibleinsufficient sign variety (1+/3-)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.1228
p-VALUE (log scale)
0.4917
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
-1.0197
p-VALUE (log scale)
0.3079
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.690 ≈ 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).

§14 · Spectral analysis (DFT periodogram)

Power spectrum of Δp · ‖X̂(k)‖²/n
n=12 bins · noise floor μ=3.00e-7 · top T=24.00h (23.4%) · top-3 cover 57.0%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)8.4e-76.3e-74.2e-72.1e-70.0e+0μ noise floor2× noise (significance)period 24.0 · power 8.43e-7 · 23.4% energyperiod 24.0 · power 8.43e-7 · 23.4% energyperiod 12.0 · power 1.42e-7 · 4.0% energyperiod 12.0 · power 1.42e-7 · 4.0% energyperiod 8.0 · power 3.15e-7 · 8.7% energyperiod 8.0 · power 3.15e-7 · 8.7% energyperiod 6.0 · power 2.56e-7 · 7.1% energyperiod 6.0 · power 2.56e-7 · 7.1% energyperiod 4.8 · power 5.44e-7 · 15.1% energyperiod 4.8 · power 5.44e-7 · 15.1% energyperiod 4.0 · power 6.63e-7 · 18.4% energyperiod 4.0 · power 6.63e-7 · 18.4% energyperiod 3.4 · power 3.77e-10 · 0.0% energyperiod 3.4 · power 3.77e-10 · 0.0% energyperiod 3.0 · power 1.03e-7 · 2.9% energyperiod 3.0 · power 1.03e-7 · 2.9% energyperiod 2.7 · power 9.41e-8 · 2.6% energyperiod 2.7 · power 9.41e-8 · 2.6% energyperiod 2.4 · power 5.32e-7 · 14.8% energyperiod 2.4 · power 5.32e-7 · 14.8% energyperiod 2.2 · power 7.89e-8 · 2.2% energyperiod 2.2 · power 7.89e-8 · 2.2% energyperiod 2.0 · power 2.53e-8 · 0.7% energyperiod 2.0 · power 2.53e-8 · 0.7% energy50% by T=4.8h#1 dominantT=24.00h#2T=4.00h#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 ≈ 24.00h (freq 0.042) · concentrates 23.4% of total energy · Σ|X̂|²/n = 3.598e-6

▸ Depth section using sovereign-store price series (5000 bars · effective 5257847 bars/year) — annualisation reflects native polling cadence, not upstream timeframes.

§15 · 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 →

§16 · Horizon returns

Returns · per bar / per day / per horizon
Horizon 7.0 d · σ/bar 0.001pp · expected |Δp| over horizon 0.01ppterminal variance p(1−p) = 0.0161 · n = 5000n = 5000
μ per bar
-0.000pp
average Δp · drift
σ per bar
0.001pp
one-bar volatility · logit-free
Per-day movedaily
0.00pp
σ × √24
Per-horizon move7d
0.01pp
σ × √168
Terminal variancebinary
0.0161
p(1−p) at resolution
Current pricep
1.6¢
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.

§17 · Tail risk

VaR · ES · max drawdown
VaR₉₅ 0.00pp · ES₉₅ 0.00pp · method parametric · drift-correcteddrift -0.000pp/bar · quantised: yes · median step 0.00pp · unique ratio 0.00n = 5000
VaR 95%
0.00pp
1.645·σ (parametric) of Δp
ES 95%
0.00pp
mean of the tail
Max drawdown
3.2pp
peak 1.7¢ → trough 1.6¢
Median step
0.00pp
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.

§18 · Odds conversion

Odds conversion · every dialect a bettor thinks in
Implied probabilityP
1.6%
= price
Decimal oddsEU
61.237
total return per $1
AmericanUS
+6024
$100 wins $6024
FractionalUK
60.24 / 1
profit per $1 risked
Profit per $100stake
+$6023.70
clean dollar framing
-1000-5000+500+1000020406080100you · 1.6%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.

§19 · Binary entropy

Binary entropy · uncertainty as bits of information
Market entropyH(p)
0.120 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.120 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
5.94 bit
self-information
Surprise · NO−log₂(1−p)
0.02 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.

§20 · 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

Snapshot fetched
2026-06-14 14:50:47 UTC
Snapshot age
1.1s
Page rendered
2026-06-14 14:50:48 UTC
History points
25 closes · 25 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
c6506c06cc84014ced997c5435b56d1539ffbf885f3bd831e0104a4779a85dbb · deterministic hash of source snapshot
Open data licence
CC0 / public domain

§∞-2 · Related markets · explore more

Also see: /arb opportunities · RSS feed

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
98.77%
σ per bar = 0.000431
Mean return (annualised)
-3390.58%
μ per bar = -0.000006
Sharpe (rf=0)
-34.33
annualised; risk-free assumed zero
Max drawdown
3.17%
peak 0.02 → trough 0.02 over 4959 bars

/api/asset/hl-pred-colombia-181/risk · same metrics, JSON