HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #204

Paraguay

Primary · Yes
0.5¢
Counter · No
99.5¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-paraguay-204 · fresh · feed 0s old
24h sparkline · 60 pts
realized vol (ann.)
46.32%
max drawdown
88.86%
sharpe
ulcer index
4.48%
RMS drawdown
pain index
0.49%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
1.07%
cond. drawdown
gain/pain
0.94
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.94
upside/downside
roll spread
0.9 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-paraguay-204/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH307ms--:--:-- 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
0.5¢
No mid · live
99.5¢
Yes · live 24h price
n=25 · μ=0.0017 · σ=0.0005 · range [0.0011, 0.0021] · R²=0.242 FLATσ EXTREME 26.97%LAST 0.00110.00210.00180.00160.00140.0011μ = 0.0017max 0.0021min 0.0011dataMA(5)OLS R²=0.24μ lineμ ± σ bandmaxminlive endpoint
25 bars · close 0.11¢ · 24h +0.00%
Probability split · live
Yes 0.5%No 99.5%NO99.5%99.50¢ · odds 1/1.01
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.045 / 1.00 bits (5%) · informative — one side favoured
Yes
0.5%0.5¢200.00× +0.00pp
No
99.5%99.5¢1.01× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=25 · Σ=45,521 · μ=1820.8 · σ=3780.3 · CV=2.08BURSTY · concentratedcumulative energy ↗ · 50% by h=1602,7765,5538,32911,105μ = 182111,10550%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
Σ 45521 · peak 11105
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
307ms
Yes mid
0.500¢
No mid
99.500¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
25 bars
Δ24h close
0.11¢
Δ24h change
+0.00%

§1 · 24h time-series

Mid price · Yes (25 hourly observations)
n=25 · μ=0.0017 · σ=0.0005 · range [0.0011, 0.0021] · R²=0.242 FLATσ EXTREME 26.97%LAST 0.00110.00210.00180.00160.00140.0011μ = 0.0017max 0.0021min 0.0011dataMA(5)OLS R²=0.24μ lineμ ± σ bandmaxmin
range [0.11¢, 0.21¢] · span 0.09pp · MA(5) latest 0.17¢
Candlestick · open / high / low / close per hour
n=25 · up 25 · down 0 (100% up) · range [0.0011, 0.0021] · σ=0.0005 · CV=0.27 · bodyµ=0%BULLISH +0.00%CLOSE 0.0011 vs OPEN 0.0011 (+0.00%)&#9650; CLOSE 0.00110.00210.00180.00160.00140.0011μ close = 0.0017O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.002 H0.002 L0.002 C0.002 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)O0.001 H0.001 L0.001 C0.001 (+0.00%)#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 0.11¢
Hourly traded contracts
n=25 · Σ=45,521 · μ=1820.8 · σ=3780.3 · CV=2.08BURSTY · concentratedcumulative energy &nearr; · 50% by h=1602,7765,5538,32911,105μ = 18210 · 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% peak8,695 · 78.3% peak8,695 · 78.3% peak200 · 1.8% peak200 · 1.8% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak11,10511,105 · 100.0% peak11,105 · 100.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak6,207 · 55.9% peak6,207 · 55.9% 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% peak8,695 · 78.3% peak8,695 · 78.3% peak10,619 · 95.6% peak10,619 · 95.6% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 45521 · peak 11105 · mean 1820.8

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

Histogram of Δp
n=24 · 12 bins · μ=-0.0001 · σ=0.0002 · skew=0.77 (right-skewed) · kurt=8.89 (leptokurtic (fat tails))211611501-0.08ppbin -0.08pp · n=1 · 4.8% peakbin -0.08pp · n=1 · 4.8% peak-0.06pp-0.05pp-0.04pp-0.02pp21-0.01ppbin -0.01pp · n=21 · 100.0% peakbin -0.01pp · n=21 · 100.0% peak10.01ppbin 0.01pp · n=1 · 4.8% peakbin 0.01pp · n=1 · 4.8% peak0.02pp0.04pp0.05pp0.06pp10.08ppbin 0.08pp · n=1 · 4.8% peakbin 0.08pp · n=1 · 4.8% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 2 · negative 3
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=0.06 · kurt=8.76 · near 6 / mid 10 / far 8 · OLS slope=0.67 intercept=-0.00LEPTOKURTIC — FAT TAILSTHIN UPPER TAILTHIN LOWER TAIL-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=25PLATYKURTIC · THIN TAILS (G₂=-1.92)
μ MEAN0.17¢95% CI: [0.15¢, 0.18¢]
σ STD DEV0.05ppσ² = 20.321×10⁻⁴ · CV = 26.97%
med MEDIAN0.20¢Q₁ 0.11¢ · Q₃ 0.20¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.11¢Q₁ 0.11¢med 0.20¢Q₃ 0.20¢max 0.21¢μ
SKEWNESS · G₁-0.370approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.916platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.73
σ × 1.349 ↔ IQRdiverges from normalratio = 0.70
range ↔ σconcentrated (range < 4σ)range / σ = 2.11
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: MARTINGALE · UNPREDICTABLE
ρ(1) AUTOCORR+0.064within white-noise band
ρ(2) AUTOCORR+0.000lag-2 not significant
H · HURST EXPONENT0.804strongly persistent
OLS TREND · t-STAT+2.710significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.804STRONGLY 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+0.064k=2+0.000k=3+0.000k=4+0.000k=5+0.0000+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 CLASSIFICATIONMARTINGALE · UNPREDICTABLEfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.67very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=2.71)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#204
SLUGparaguay-204
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES0.50¢implied prob 0.50% · decimal odds 200.00×
COUNTER · NO99.50¢implied prob 99.50% · decimal odds 1.01×
0.50¢
99.50¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME45.52k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (100¢)|primary − counter| = 0.990 · entropy 0.045 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 0.5%No 99.5%YES0.5%H = 0.045 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes200.00×(1¢)No1.01×(100¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.045 bits (5% 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 Paraguay 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 0.09% · worst -0.09% · typical |Δ| 0.01%MIXED · 2 UP / 3 DNBEST+0.09%22hWORST-0.09%13hTYPICAL |Δ|0.01%mean absoluteCUMULATIVE+0.00%Σ signed ΔSTREAK↘ 2down-runASIA · 00-08 UTCμ -0.00% · Σ -0.01%EUROPE · 08-16 UTCμ -0.01% · Σ -0.09%US · 16-24 UTCμ +0.01% · Σ +0.09%CUMULATIVE Δ PATH · final +0.00%+0.09%0.00%0.00% · 15h0.00% · 15h·15h0.00% · 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·21h0.09% · 22h0.09% · 22h0.09%22h★ BEST0.01% · 23h0.01% · 23h0.01%23h0.00% · 00h0.00% · 00h·00h0.00% · 01h0.00% · 01h·01h0.00% · 02h0.00% · 02h·02h0.00% · 03h0.00% · 03h·03h0.00% · 04h0.00% · 04h·04h-0.01% · 05h-0.01% · 05h-0.01%05h0.00% · 06h0.00% · 06h·06h0.00% · 07h0.00% · 07h·07h0.00% · 08h0.00% · 08h·08h0.00% · 09h0.00% · 09h·09h0.00% · 10h0.00% · 10h·10h0.00% · 11h0.00% · 11h·11h0.00% · 12h0.00% · 12h·12h-0.09% · 13h-0.09% · 13h-0.09%13h▼ WORST-0.00% · 14h-0.00% · 14h-0.00%14hTIME PATTERNuniform across sessionsRUNSup max 2 · down max 2BREADTH8% up · 13% down · 79% flat
2 up bars · 3 down · best 0.09% · worst -0.09% · typical |Δ| 0.008%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsFLAT · NO MATERIAL MOVEMENTFINAL-0.00%MAX DD-0.09%RECOVERYONGOING · 10 barsMAX RUN-UP+0.10%UNDERWATER10/25 (40%)STREAK↘ 2EQUITY CURVE · end 1.0000 · peak 1.0010 · range [1.0000, 1.0010]1.00101.0000break-even = 1★ PEAK 1.0010UNDERWATER DRAWDOWN · max -0.09% · shallow0%-0.09%▼ TROUGH -0.09%TOP DRAWDOWN PERIODS · 1 total#1 -0.09%bar 16-25 · 10 bars · ONGOINGDD SEVERITYshallow (max -0.09%)RECOVERYongoing · 10 barsTIME UNDER WATER40% of session · 10/25 bars
final equity 1.0000 (-0.00%) · max DD -0.09% · time-under-water 10/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +7 / −8 (37% positive) · μ=-0.84 · σ=36.41MIXED EDGELAST -39.28 (-1.06σ vs μ)42.8821.440.00-21.44-42.88μ = -0.840.000.000.000.0038.2138.2142.8842.8842.8842.8842.8842.8842.8842.8842.8842.8838.2138.21-38.21-38.21-38.21-38.21-38.21-38.21-38.21-38.21-38.21-38.21-38.21-38.210.000.000.000.00-38.21-38.21-39.28-39.28v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -39.283 · range [-39.28, 42.88] · μ -0.840 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=1.4800 · σ=1.5489 · range [0.0000, 3.2861] · R²=0.033 FLATσ EXTREME 104.66%LAST 3.23343.28612.46451.64300.82150.0000μ = 1.4800max 3.2861min 0.0000dataMA(3)OLS R²=0.03μ lineμ ± σ bandmaxmin
latest 3.23% · range [0.00%, 3.29%] · μ 1.48% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +1 / −14 (5% positive) · μ=-0.099 · σ=0.102MEAN-REVERSIONLAST -0.213 (-1.12σ vs μ)0.2330.1170.000-0.117-0.233μ = -0.0990.0000.0000.0000.000-0.033-0.033-0.140-0.140-0.164-0.164-0.164-0.164-0.164-0.1640.0640.064-0.033-0.033-0.033-0.033-0.233-0.233-0.233-0.233-0.233-0.233-0.233-0.233-0.033-0.0330.0000.0000.0000.000-0.033-0.033-0.213-0.213v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.213 · |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 6 REJECT · mixed evidence1 reject·5 pass·α = 0.05
𝒩

Jarque-Bera

REJECT H₀***

H₀: Δp ~ Normal(μ, σ²)

STATISTIC
125.5385
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
0.1108
p-VALUE (log scale)
0.9993
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
-1.3904
p-VALUE (log scale)
0.5855
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
-1.5275
p-VALUE (log scale)
0.1266
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (2 runs)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.4190
p-VALUE (log scale)
0.0690
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
-0.0247
p-VALUE (log scale)
0.9803
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.992 ≈ 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=6.64e-8 · top T=6.00h (15.6%) · top-3 cover 45.0%WHITE NOISE · no dominant cyclecumulative energy ↗ (0 bins above 2× noise)1.2e-79.3e-86.2e-83.1e-80.0e+0μ noise floorperiod 24.0 · power 1.17e-7 · 14.7% energyperiod 24.0 · power 1.17e-7 · 14.7% energyperiod 12.0 · power 6.86e-8 · 8.6% energyperiod 12.0 · power 6.86e-8 · 8.6% energyperiod 8.0 · power 2.42e-8 · 3.0% energyperiod 8.0 · power 2.42e-8 · 3.0% energyperiod 6.0 · power 1.24e-7 · 15.6% energyperiod 6.0 · power 1.24e-7 · 15.6% energyperiod 4.8 · power 1.84e-8 · 2.3% energyperiod 4.8 · power 1.84e-8 · 2.3% energyperiod 4.0 · power 7.28e-8 · 9.1% energyperiod 4.0 · power 7.28e-8 · 9.1% energyperiod 3.4 · power 8.94e-8 · 11.2% energyperiod 3.4 · power 8.94e-8 · 11.2% energyperiod 3.0 · power 1.25e-11 · 0.0% energyperiod 3.0 · power 1.25e-11 · 0.0% energyperiod 2.7 · power 1.07e-7 · 13.5% energyperiod 2.7 · power 1.07e-7 · 13.5% energyperiod 2.4 · power 4.51e-8 · 5.7% energyperiod 2.4 · power 4.51e-8 · 5.7% energyperiod 2.2 · power 1.28e-8 · 1.6% energyperiod 2.2 · power 1.28e-8 · 1.6% energyperiod 2.0 · power 1.18e-7 · 14.7% energyperiod 2.0 · power 1.18e-7 · 14.7% energy50% by T=4.0h#1 dominantT=6.00h#2T=2.00h#3T=24.00hT=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 ≈ 6.00h (freq 0.167) · concentrates 15.6% of total energy · Σ|X̂|²/n = 7.973e-7

▸ 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 0.013pp · expected |Δp| over horizon 0.17ppterminal variance p(1−p) = 0.0050 · n = 5000n = 5000
μ per bar
-0.000pp
average Δp · drift
σ per bar
0.013pp
one-bar volatility · logit-free
Per-day movedaily
0.06pp
σ × √24
Per-horizon move7d
0.17pp
σ × √168
Terminal variancebinary
0.0050
p(1−p) at resolution
Current pricep
0.5¢
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.

§17 · Tail risk

VaR · ES · max drawdown
VaR₉₅ 0.02pp · ES₉₅ 0.03pp · method parametric · drift-correcteddrift -0.000pp/bar · quantised: yes · median step 0.05pp · unique ratio 0.00n = 5000
VaR 95%
0.02pp
1.645·σ (parametric) of Δp
ES 95%
0.03pp
mean of the tail
Max drawdown
88.9pp
peak 0.6¢ → trough 0.1¢
Median step
0.05pp
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
0.5%
= price
Decimal oddsEU
200.000
total return per $1
AmericanUS
+19900
$100 wins $19900
FractionalUK
199.00 / 1
profit per $1 risked
Profit per $100stake
+$19900.00
clean dollar framing
-1000-5000+500+1000020406080100you · 0.5%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.

§19 · Binary entropy

Binary entropy · uncertainty as bits of information
Market entropyH(p)
0.045 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.045 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
7.64 bit
self-information
Surprise · NO−log₂(1−p)
0.01 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 14:51:12 UTC
Snapshot age
307ms
Page rendered
2026-06-14 14:51:12 UTC
History points
25 closes · 25 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
dc8dab274fcdfd34a212d725cb28c926c3e2aee972b4924a5f72a1a81f502ff4 · 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)
12221.12%
σ per bar = 0.053298
Mean return (annualised)
-10215.59%
μ per bar = -0.000019
Sharpe (rf=0)
-0.84
annualised; risk-free assumed zero
Max drawdown
88.86%
peak 0.01 → trough 0.00 over 3451 bars

/api/asset/hl-pred-paraguay-204/risk · same metrics, JSON