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HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #316

Tunisia

Primary · Yes
21.3¢
Counter · No
78.7¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-tunisia-316 · fresh · feed 3s old
24h sparkline · 60 pts
realized vol (ann.)
69.58%
max drawdown
3.46%
sharpe
ulcer index
1.89%
RMS drawdown
pain index
1.22%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
3.46%
cond. drawdown
gain/pain
1.25
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
1.25
upside/downside
roll spread
5.1 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-tunisia-316/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH3.3s--:--:-- 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
21.3¢
No mid · live
78.7¢
Yes · live 24h price
n=25 · μ=0.2158 · σ=0.0063 · range [0.2000, 0.2350] · R²=0.052 FALLING -7.68%σ NORMAL 2.91%LAST 0.20000.23500.22630.21750.20870.2000μ = 0.2158max 0.2350min 0.2000dataMA(5)OLS R²=0.05μ lineμ ± σ bandmaxminlive endpoint
25 bars · close 20.00¢ · 24h -7.68%
Probability split · live
Yes 21.3%No 78.7%NO78.7%78.70¢ · odds 1/1.27
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.747 / 1.00 bits (75%) · moderate uncertainty
Yes
21.3%21.3¢4.70× +0.00pp
No
78.7%78.7¢1.27× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=25 · Σ=23,080 · μ=923.2 · σ=2242.5 · CV=2.43BURSTY · concentratedcumulative energy ↗ · 50% by h=1202,0144,0286,0428,056μ = 9238,05650%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
Σ 23080 · peak 8056
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
3.3s
Yes mid
21.298¢
No mid
78.702¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
25 bars
Δ24h close
20.00¢
Δ24h change
-7.68%

§1 · 24h time-series

Mid price · Yes (25 hourly observations)
n=25 · μ=0.2158 · σ=0.0063 · range [0.2000, 0.2350] · R²=0.052 FALLING -7.68%σ NORMAL 2.91%LAST 0.20000.23500.22630.21750.20870.2000μ = 0.2158max 0.2350min 0.2000dataMA(5)OLS R²=0.05μ lineμ ± σ bandmaxmin
range [20.00¢, 23.50¢] · span 3.50pp · MA(5) latest 21.60¢
Candlestick · open / high / low / close per hour
n=25 · up 20 · down 5 (80% up) · range [0.1904, 0.2350] · σ=0.0063 · CV=0.03 · bodyµ=20%BEARISH -7.68%CLOSE 0.2000 vs OPEN 0.2166 (-7.68%)&#9660; CLOSE 0.20000.23500.22380.21270.20150.1904μ close = 0.2158O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)O0.217 H0.217 L0.217 C0.217 (+0.00%)8.2%O0.217 H0.235 L0.217 C0.235 (+8.23%)O0.217 H0.235 L0.217 C0.235 (+8.23%)O0.217 H0.217 L0.216 C0.216 (-0.63%)O0.217 H0.217 L0.216 C0.216 (-0.63%)O0.215 H0.215 L0.215 C0.215 (-0.14%)O0.215 H0.215 L0.215 C0.215 (-0.14%)O0.215 H0.215 L0.215 C0.215 (+0.00%)O0.215 H0.215 L0.215 C0.215 (+0.00%)O0.215 H0.215 L0.215 C0.215 (+0.00%)O0.215 H0.215 L0.215 C0.215 (+0.00%)O0.215 H0.215 L0.215 C0.215 (+0.00%)O0.215 H0.215 L0.215 C0.215 (+0.00%)O0.215 H0.215 L0.215 C0.215 (+0.00%)O0.215 H0.215 L0.215 C0.215 (+0.00%)O0.207 H0.207 L0.207 C0.207 (+0.00%)O0.207 H0.207 L0.207 C0.207 (+0.00%)O0.207 H0.207 L0.207 C0.207 (+0.00%)O0.207 H0.207 L0.207 C0.207 (+0.00%)O0.207 H0.207 L0.207 C0.207 (+0.00%)O0.207 H0.207 L0.207 C0.207 (+0.00%)O0.220 H0.220 L0.190 C0.220 (-0.06%)O0.220 H0.220 L0.190 C0.220 (-0.06%)O0.220 H0.220 L0.220 C0.220 (-0.17%)O0.220 H0.220 L0.220 C0.220 (-0.17%)O0.220 H0.220 L0.220 C0.220 (+0.00%)O0.220 H0.220 L0.220 C0.220 (+0.00%)O0.220 H0.220 L0.220 C0.220 (+0.00%)O0.220 H0.220 L0.220 C0.220 (+0.00%)O0.220 H0.220 L0.220 C0.220 (+0.00%)O0.220 H0.220 L0.220 C0.220 (+0.00%)O0.205 H0.205 L0.200 C0.200 (-2.44%)O0.205 H0.205 L0.200 C0.200 (-2.44%)#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 20.00¢
Hourly traded contracts
n=25 · Σ=23,080 · μ=923.2 · σ=2242.5 · CV=2.43BURSTY · concentratedcumulative energy &nearr; · 50% by h=1202,0144,0286,0428,056μ = 9230 · 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% peak2,506 · 31.1% peak2,506 · 31.1% peak8,0568,056 · 100.0% peak8,056 · 100.0% peak2,172 · 27.0% peak2,172 · 27.0% peak742 · 9.2% peak742 · 9.2% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak19 · 0.2% peak19 · 0.2% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak1,181 · 14.7% peak1,181 · 14.7% peak8,002 · 99.3% peak8,002 · 99.3% peak52 · 0.6% peak52 · 0.6% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak350 · 4.3% peak350 · 4.3% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 23080 · peak 8056 · mean 923.2

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

Histogram of Δp
n=24 · 12 bins · μ=-0.0001 · σ=0.0072 · skew=-0.61 (left-skewed) · kurt=2.41 (leptokurtic (fat tails))18149502-1.84ppbin -1.84pp · n=2 · 11.1% peakbin -1.84pp · n=2 · 11.1% peak-1.52pp-1.20pp1-0.88ppbin -0.88pp · n=1 · 5.6% peakbin -0.88pp · n=1 · 5.6% peak-0.56pp1-0.24ppbin -0.24pp · n=1 · 5.6% peakbin -0.24pp · n=1 · 5.6% peak180.08ppbin 0.08pp · n=18 · 100.0% peakbin 0.08pp · n=18 · 100.0% peak0.40pp0.72pp1.04pp11.36ppbin 1.36pp · n=1 · 5.6% peakbin 1.36pp · n=1 · 5.6% peak11.68ppbin 1.68pp · n=1 · 5.6% peakbin 1.68pp · n=1 · 5.6% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 4 · negative 5
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=-0.46 · kurt=2.82 · near 6 / mid 16 / far 2 · OLS slope=0.82 intercept=-0.00LEPTOKURTIC — FAT TAILSUPPER 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 (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25LEPTOKURTIC · FAT TAILS (G₂=2.59)
μ MEAN21.58¢95% CI: [21.34¢, 21.83¢]
σ STD DEV0.63ppσ² = 0.394 · CV = 2.91%
med MEDIAN21.66¢Q₁ 21.49¢ · Q₃ 21.66¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 20.00¢Q₁ 21.49¢med 21.66¢Q₃ 21.66¢max 23.50¢μ
SKEWNESS · G₁0.236approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂2.589leptokurtic · fat tails
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.13
σ × 1.349 ↔ IQRdiverges from normalratio = 4.78
range ↔ σwide tails (range > 4σ)range / σ = 5.58
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 · ρ(1) -0.25 + ADF rejected
ρ(1) AUTOCORR-0.254within white-noise band
ρ(2) AUTOCORR-0.016lag-2 not significant
H · HURST EXPONENT1.326strongly persistent
OLS TREND · t-STAT-1.120fails 5% test
HURST EXPONENT [0, 1]
H = 1.326STRONGLY 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=1-0.254k=2-0.016k=3-0.072k=4+0.003k=5-0.1900+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) -0.25 + ADF rejectedfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 1.00very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCENOT SIGNIFICANT (|t|=1.12)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#316
SLUGtunisia-316
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES21.30¢implied prob 21.30% · decimal odds 4.70×
COUNTER · NO78.70¢implied prob 78.70% · decimal odds 1.27×
21.30¢
78.70¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME23.08k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (79¢)|primary − counter| = 0.574 · entropy 0.747 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 21.3%No 78.7%YES21.3%H = 0.747 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes4.70×(21¢)No1.27×(79¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.747 bits (75% of max) · moderate uncertainty
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 Tunisia wins the Game.

§10 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 1.84% · worst -2.00% · typical |Δ| 0.33%BEARISH SESSION -1.66%BEST+1.84%19hWORST-2.00%10hTYPICAL |Δ|0.33%mean absoluteCUMULATIVE-1.66%Σ signed ΔSTREAK↘ 1down-runASIA · 00-08 UTCμ +0.06% · Σ +0.51%EUROPE · 08-16 UTCμ -0.25% · Σ -2.00%US · 16-24 UTCμ -0.02% · Σ -0.18%CUMULATIVE Δ PATH · final -1.66%+1.84%-1.66%0.00% · 11h0.00% · 11h·11h0.00% · 12h0.00% · 12h·12h0.00% · 13h0.00% · 13h·13h0.00% · 14h0.00% · 14h·14h0.00% · 15h0.00% · 15h·15h0.00% · 16h0.00% · 16h·16h0.00% · 17h0.00% · 17h·17h0.00% · 18h0.00% · 18h·18h1.84% · 19h1.84% · 19h1.84%19h★ BEST-1.94% · 20h-1.94% · 20h-1.94%20h-0.10% · 21h-0.10% · 21h-0.10%21h0.03% · 22h0.03% · 22h0.03%22h0.00% · 23h0.00% · 23h·23h0.00% · 00h0.00% · 00h·00h0.00% · 01h0.00% · 01h·01h-0.78% · 02h-0.78% · 02h-0.78%02h0.00% · 03h0.00% · 03h·03h0.00% · 04h0.00% · 04h·04h1.31% · 05h1.31% · 05h1.31%05h-0.02% · 06h-0.02% · 06h-0.02%06h0.00% · 07h0.00% · 07h0.00%07h0.00% · 08h0.00% · 08h·08h0.00% · 09h0.00% · 09h·09h-2.00% · 10h-2.00% · 10h-2.00%10h▼ WORSTTIME PATTERNAsia-led (+0.51%)RUNSup max 1 · down max 2BREADTH17% up · 21% down · 63% flat
4 up bars · 5 down · best 1.84% · worst -2.00% · typical |Δ| 0.333%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS WITH MODERATE DD (-1.72%)FINAL-1.72%MAX DD-3.49%RECOVERYONGOING · 15 barsMAX RUN-UP+1.84%UNDERWATER15/25 (60%)STREAK↘ 1EQUITY CURVE · end 0.9828 · peak 1.0184 · range [0.9828, 1.0184]1.01840.9828break-even = 1★ PEAK 1.0184UNDERWATER DRAWDOWN · max -3.49% · moderate0%-3.49%▼ TROUGH -3.49%TOP DRAWDOWN PERIODS · 1 total#1 -3.49%bar 11-25 · 15 bars · ONGOINGDD SEVERITYmoderate (max -3.49%)RECOVERYongoing · 15 barsTIME UNDER WATER60% of session · 15/25 bars
final equity 0.9828 (-1.72%) · max DD -3.49% · time-under-water 15/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +6 / −10 (32% positive) · μ=-1.52 · σ=24.68UNPROFITABLE STRATEGYLAST -10.45 (-0.36σ vs μ)42.0521.020.00-21.02-42.05μ = -1.520.000.000.000.000.000.0038.2138.21-1.40-1.40-2.63-2.63-2.31-2.31-2.31-2.31-2.31-2.31-39.82-39.82-42.05-42.05-36.72-36.72-38.21-38.2112.3112.3111.8411.8411.8611.8637.5437.5437.5437.54-10.45-10.45v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -10.450 · range [-42.05, 38.21] · μ -1.521 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=62.1681 · σ=40.1664 · range [0.0000, 111.9868] · R²=0.027 FLATσ EXTREME 64.61%LAST 99.1985111.986883.990155.993427.99670.0000μ = 62.1681max 111.9868min 0.0000dataMA(3)OLS R²=0.03μ lineμ ± σ bandmaxmin
latest 99.20% · range [0.00%, 111.99%] · μ 62.17% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +2 / −14 (11% positive) · μ=-0.183 · σ=0.204MEAN-REVERSIONLAST -0.008 (+0.86σ vs μ)0.4950.2470.000-0.247-0.495μ = -0.1830.0000.0000.0000.0000.0000.000-0.033-0.033-0.495-0.495-0.474-0.474-0.474-0.474-0.474-0.474-0.482-0.4820.0150.015-0.038-0.038-0.222-0.222-0.233-0.2330.0270.027-0.035-0.035-0.063-0.063-0.244-0.244-0.244-0.244-0.008-0.008v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.008 · |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
2 of 6 REJECT · mixed evidence2 reject·4 pass·α = 0.05
𝒩

Jarque-Bera

REJECT H₀***

H₀: Δp ~ Normal(μ, σ²)

STATISTIC
15.4777
p-VALUE (log scale)
0.0004
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
3.1040
p-VALUE (log scale)
0.6866
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedconsistent with white noise
Ψ

Dickey-Fuller (τ_μ)

REJECT H₀*

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

STATISTIC
-3.1883
p-VALUE (log scale)
0.0217
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonestationary · mean-reverting (crit ≈ -2.86)
±

Wald-Wolfowitz runs

FAIL TO REJECTns

H₀: Sign sequence of Δ is random

STATISTIC
1.8474
p-VALUE (log scale)
0.0647
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (8 runs)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.1700
p-VALUE (log scale)
0.4092
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
-1.6449
p-VALUE (log scale)
0.1000
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.499 ≈ 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=6.61e-5 · top T=2.00h (31.7%) · top-3 cover 64.3%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)2.5e-41.9e-41.3e-46.3e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 3.18e-6 · 0.4% energyperiod 24.0 · power 3.18e-6 · 0.4% energyperiod 12.0 · power 6.73e-5 · 8.5% energyperiod 12.0 · power 6.73e-5 · 8.5% energyperiod 8.0 · power 2.30e-5 · 2.9% energyperiod 8.0 · power 2.30e-5 · 2.9% energyperiod 6.0 · power 6.66e-5 · 8.4% energyperiod 6.0 · power 6.66e-5 · 8.4% energyperiod 4.8 · power 5.02e-5 · 6.3% energyperiod 4.8 · power 5.02e-5 · 6.3% energyperiod 4.0 · power 4.47e-6 · 0.6% energyperiod 4.0 · power 4.47e-6 · 0.6% energyperiod 3.4 · power 1.46e-4 · 18.4% energyperiod 3.4 · power 1.46e-4 · 18.4% energyperiod 3.0 · power 6.91e-6 · 0.9% energyperiod 3.0 · power 6.91e-6 · 0.9% energyperiod 2.7 · power 1.13e-4 · 14.3% energyperiod 2.7 · power 1.13e-4 · 14.3% energyperiod 2.4 · power 5.77e-5 · 7.3% energyperiod 2.4 · power 5.77e-5 · 7.3% energyperiod 2.2 · power 3.79e-6 · 0.5% energyperiod 2.2 · power 3.79e-6 · 0.5% energyperiod 2.0 · power 2.51e-4 · 31.7% energyperiod 2.0 · power 2.51e-4 · 31.7% energy50% by T=2.7h#1 dominantT=2.00h#2T=3.43h#3T=2.67hT=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 31.7% of total energy · Σ|X̂|²/n = 7.931e-4

▸ Depth section using sovereign-store price series (5000 bars · effective 5258724 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 0.064pp · expected |Δp| over horizon 0.83ppterminal variance p(1−p) = 0.1676 · n = 5000n = 5000
μ per bar
-0.000pp
average Δp · drift
σ per bar
0.064pp
one-bar volatility · logit-free
Per-day movedaily
0.31pp
σ × √24
Per-horizon move7d
0.83pp
σ × √168
Terminal variancebinary
0.1676
p(1−p) at resolution
Current pricep
21.3¢
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 0.10pp · ES₉₅ 0.13pp · method parametric · drift-correcteddrift -0.000pp/bar · quantised: yes · median step 0.01pp · unique ratio 0.01n = 5000
VaR 95%
0.10pp
1.645·σ (parametric) of Δp
ES 95%
0.13pp
mean of the tail
Max drawdown
14.1pp
peak 21.9¢ → trough 18.8¢
Median step
0.01pp
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
21.3%
= price
Decimal oddsEU
4.695
total return per $1
AmericanUS
+370
$100 wins $370
FractionalUK
3.70 / 1
profit per $1 risked
Profit per $100stake
+$369.53
clean dollar framing
-1000-5000+500+1000020406080100you · 21.3%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.

§19 · Binary entropy

Binary entropy · uncertainty as bits of information
Market entropyH(p)
0.747 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.747 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
2.23 bit
self-information
Surprise · NO−log₂(1−p)
0.35 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 10:14:02 UTC
Snapshot age
3.3s
Page rendered
2026-06-14 10:14:05 UTC
History points
25 closes · 25 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
d5f1ce84c56dfc6365b6a6c5a9af7debe787575c28da366c043530dd8936fd68 · 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)
711.62%
σ per bar = 0.003103
Mean return (annualised)
-185.06%
μ per bar = -0.000000
Sharpe (rf=0)
-0.26
annualised; risk-free assumed zero
Max drawdown
14.09%
peak 0.22 → trough 0.19 over 865 bars

/api/asset/hl-pred-tunisia-316/risk · same metrics, JSON