HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #316

Tunisia

Primary · Yes
21.0¢
Counter · No
79.0¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-tunisia-316 · fresh · feed 3s old
24h sparkline · 60 pts
realized vol (ann.)
136.80%
max drawdown
3.97%
sharpe
ulcer index
2.77%
RMS drawdown
pain index
2.62%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
3.88%
cond. drawdown
gain/pain
0.96
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.96
upside/downside
roll spread
15.9 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-tunisia-316/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH2.5s--:--:-- 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
21.0¢
No mid · live
79.0¢
Yes · live 24h price
n=23 · μ=0.2162 · σ=0.0055 · range [0.2071, 0.2350] · R²=0.031 RISING +1.55%σ NORMAL 2.53%LAST 0.22000.23500.22800.22100.21410.2071μ = 0.2162max 0.2350min 0.2071dataMA(4)OLS R²=0.03μ lineμ ± σ bandmaxminlive endpoint
23 bars · close 22.00¢ · 24h +1.55%
Probability split · live
Yes 21.0%No 79.0%NO79.0%78.96¢ · odds 1/1.27
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.742 / 1.00 bits (74%) · moderate uncertainty
Yes
21.0%21.0¢4.75× +0.00pp
No
79.0%79.0¢1.27× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=23 · Σ=22,730 · μ=988.3 · σ=2329.8 · CV=2.36BURSTY · concentratedcumulative energy ↗ · 50% by h=1302,0144,0286,0428,056μ = 9888,05650%h1h4h7h10h13h16h19h22#1 peak#2-3> μactivequietμ linecum energy
Σ 22730 · peak 8056
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
2.5s
Yes mid
21.043¢
No mid
78.957¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
23 bars
Δ24h close
22.00¢
Δ24h change
+1.55%

§1 · 24h time-series

Mid price · Yes (23 hourly observations)
n=23 · μ=0.2162 · σ=0.0055 · range [0.2071, 0.2350] · R²=0.031 RISING +1.55%σ NORMAL 2.53%LAST 0.22000.23500.22800.22100.21410.2071μ = 0.2162max 0.2350min 0.2071dataMA(4)OLS R²=0.03μ lineμ ± σ bandmaxmin
range [20.71¢, 23.50¢] · span 2.79pp · MA(5) latest 21.49¢
Candlestick · open / high / low / close per hour
n=23 · up 19 · down 4 (83% up) · range [0.1904, 0.2350] · σ=0.0055 · CV=0.03 · bodyµ=17%BULLISH +1.55%CLOSE 0.2200 vs OPEN 0.2166 (+1.55%)&#9650; CLOSE 0.22000.23500.22380.21270.20150.1904μ close = 0.2162O0.217 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%)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%)#1#4#7#10#13#16#19#22up bar (C≥O)down bar (C<O)MA(4) closeμ closedoji (~no body)biggest body
23 bars · last close 22.00¢
Hourly traded contracts
n=23 · Σ=22,730 · μ=988.3 · σ=2329.8 · CV=2.36BURSTY · concentratedcumulative energy &nearr; · 50% by h=1302,0144,0286,0428,056μ = 9880 · 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% 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% peak50%#1#4#7#10#13#16#19#22#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 22730 · peak 8056 · mean 988.3

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

Histogram of Δp
n=22 · 12 bins · μ=0.0009 · σ=0.0063 · skew=-0.25 (symmetric) · kurt=3.55 (leptokurtic (fat tails))17139401-1.79ppbin -1.79pp · n=1 · 5.9% peakbin -1.79pp · n=1 · 5.9% peak-1.47pp-1.16pp1-0.84ppbin -0.84pp · n=1 · 5.9% peakbin -0.84pp · n=1 · 5.9% peak-0.53pp1-0.21ppbin -0.21pp · n=1 · 5.9% peakbin -0.21pp · n=1 · 5.9% peak170.10ppbin 0.10pp · n=17 · 100.0% peakbin 0.10pp · n=17 · 100.0% peak0.42pp0.73pp1.05pp11.36ppbin 1.36pp · n=1 · 5.9% peakbin 1.36pp · n=1 · 5.9% peak11.68ppbin 1.68pp · n=1 · 5.9% peakbin 1.68pp · n=1 · 5.9% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=22 · positive 4 · negative 4
Q-Q plot · standardised Δp vs N(0,1)
n=22 · skew=0.03 · kurt=4.10 · near 6 / mid 13 / far 3 · OLS slope=0.80 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=23LEPTOKURTIC · FAT TAILS (G₂=4.11)
μ MEAN21.62¢95% CI: [21.40¢, 21.84¢]
σ STD DEV0.55ppσ² = 0.299 · CV = 2.53%
med MEDIAN21.66¢Q₁ 21.49¢ · Q₃ 21.66¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 20.71¢Q₁ 21.49¢med 21.66¢Q₃ 21.66¢max 23.50¢μ
SKEWNESS · G₁1.213right-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂4.112leptokurtic · fat tails
−30+2+4+6
μ ↔ median≈ equal · symmetric|μ−med| / σ = 0.08
σ × 1.349 ↔ IQRdiverges from normalratio = 4.17
range ↔ σwide tails (range > 4σ)range / σ = 5.10
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) -0.36 + ADF rejected
ρ(1) AUTOCORR-0.361within white-noise band
ρ(2) AUTOCORR-0.024lag-2 not significant
H · HURST EXPONENT1.405strongly persistent
OLS TREND · t-STAT-0.817fails 5% test
HURST EXPONENT [0, 1]
H = 1.405STRONGLY 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=1-0.361k=2-0.024k=3-0.101k=4+0.001k=5+0.0090+1−1+0.430.43+ momentum (ρ > +0.43)− reversal (ρ < −0.43)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) -0.36 + 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|=0.82)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 · YES21.04¢implied prob 21.04% · decimal odds 4.75×
COUNTER · NO78.96¢implied prob 78.96% · decimal odds 1.27×
21.04¢
78.96¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME22.73k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (79¢)|primary − counter| = 0.579 · entropy 0.742 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 21.0%No 79.0%YES21.0%H = 0.742 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes4.75×(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) = 0.742 bits (74% 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=22 bars · best 1.84% · worst -1.94% · typical |Δ| 0.27%MILD BULLISH +0.34%BEST+1.84%19hWORST-1.94%20hTYPICAL |Δ|0.27%mean absoluteCUMULATIVE+0.34%Σ signed ΔSTREAK↗ 1up-runASIA · 00-08 UTCμ +0.06% · Σ +0.51%EUROPE · 08-16 UTCμ +0.00% · Σ +0.00%US · 16-24 UTCμ -0.02% · Σ -0.18%CUMULATIVE Δ PATH · final +0.34%+1.84%-0.95%0.00% · 10h0.00% · 10h·10h0.00% · 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▼ WORST-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%07hTIME PATTERNAsia-led (+0.51%)RUNSup max 1 · down max 2BREADTH18% up · 18% down · 64% flat
4 up bars · 4 down · best 1.84% · worst -1.94% · typical |Δ| 0.273%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=23 barsPROFITABLE +0.29%FINAL+0.29%MAX DD-2.77%RECOVERYONGOING · 12 barsMAX RUN-UP+1.84%UNDERWATER12/23 (52%)STREAK↗ 1EQUITY CURVE · end 1.0029 · peak 1.0184 · range [0.9901, 1.0184]1.01840.9901break-even = 1★ PEAK 1.0184UNDERWATER DRAWDOWN · max -2.77% · moderate0%-2.77%▼ TROUGH -2.77%TOP DRAWDOWN PERIODS · 1 total#1 -2.77%bar 12-23 · 12 bars · ONGOINGDD SEVERITYmoderate (max -2.77%)RECOVERYongoing · 12 barsTIME UNDER WATER52% of session · 12/23 bars
final equity 1.0029 (0.29%) · max DD -2.77% · time-under-water 12/23 bars

§12 · Rolling-window statistics (w = 5 bars)

Rolling annualised Sharpe ratio · green positive · red negative
n=18 · +4 / −9 (22% positive) · μ=-5.34 · σ=25.56UNPROFITABLE STRATEGYLAST 41.09 (+1.82σ vs μ)43.7021.850.00-21.85-43.70μ = -5.340.000.000.000.000.000.000.000.000.000.0041.8641.86-1.50-1.50-2.83-2.83-2.48-2.48-2.48-2.48-43.70-43.70-28.14-28.14-40.17-40.17-41.86-41.86-41.86-41.8613.2413.2412.7312.7341.0941.09v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 41.094 · range [-43.70, 41.86] · μ -5.338 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=18 · μ=53.1074 · σ=48.7757 · range [0.0000, 125.1959] · R²=0.080 FLATσ EXTREME 91.84%LAST 54.9120125.195993.897062.598031.29900.0000μ = 53.1074max 125.1959min 0.0000dataMA(3)OLS R²=0.08μ lineμ ± σ bandmaxmin
latest 54.91% · range [0.00%, 125.20%] · μ 53.11% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=18 · +1 / −12 (6% positive) · μ=-0.180 · σ=0.203MEAN-REVERSIONLAST -0.308 (-0.63σ vs μ)0.4940.2470.000-0.247-0.494μ = -0.1800.0000.0000.0000.0000.0000.0000.0000.0000.0000.000-0.050-0.050-0.494-0.494-0.474-0.474-0.475-0.475-0.484-0.484-0.003-0.003-0.256-0.256-0.046-0.046-0.300-0.300-0.300-0.3000.0320.032-0.075-0.075-0.308-0.308v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.308 · |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
28.1327
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
3.5806
p-VALUE (log scale)
0.6136
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
-3.3300
p-VALUE (log scale)
0.0148
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
1.5275
p-VALUE (log scale)
0.1266
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
0.1459
p-VALUE (log scale)
0.4513
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedstationary not rejected (crit 0.463)
χ

Variance ratio q=2

FAIL TO REJECTns

H₀: Δp is a random walk · VR = 1

STATISTIC
-1.5445
p-VALUE (log scale)
0.1225
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.671 ≈ 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=11 bins · noise floor μ=4.99e-5 · top T=2.00h (27.5%) · top-3 cover 55.6%1 SIGNIFICANT CYCLEcumulative energy ↗ (1 bin above 2× noise)1.5e-41.1e-47.6e-53.8e-50.0e+0μ noise floor2× noise (significance)period 22.0 · power 8.42e-6 · 1.5% energyperiod 22.0 · power 8.42e-6 · 1.5% energyperiod 11.0 · power 2.08e-5 · 3.8% energyperiod 11.0 · power 2.08e-5 · 3.8% energyperiod 7.3 · power 5.31e-6 · 1.0% energyperiod 7.3 · power 5.31e-6 · 1.0% energyperiod 5.5 · power 7.89e-5 · 14.4% energyperiod 5.5 · power 7.89e-5 · 14.4% energyperiod 4.4 · power 2.09e-5 · 3.8% energyperiod 4.4 · power 2.09e-5 · 3.8% energyperiod 3.7 · power 4.38e-5 · 8.0% energyperiod 3.7 · power 4.38e-5 · 8.0% energyperiod 3.1 · power 5.36e-5 · 9.8% energyperiod 3.1 · power 5.36e-5 · 9.8% energyperiod 2.8 · power 6.19e-5 · 11.3% energyperiod 2.8 · power 6.19e-5 · 11.3% energyperiod 2.4 · power 7.51e-5 · 13.7% energyperiod 2.4 · power 7.51e-5 · 13.7% energyperiod 2.2 · power 2.93e-5 · 5.3% energyperiod 2.2 · power 2.93e-5 · 5.3% energyperiod 2.0 · power 1.51e-4 · 27.5% energyperiod 2.0 · power 1.51e-4 · 27.5% energy50% by T=2.8h#1 dominantT=2.00h#2T=5.50h#3T=2.44hT=2hT=3hT=4hT=6hT=8hT=12hT=16h← 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 27.5% of total energy · Σ|X̂|²/n = 5.490e-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 0.063pp · expected |Δp| over horizon 0.82ppterminal variance p(1−p) = 0.1661 · n = 5000n = 5000
μ per bar
-0.000pp
average Δp · drift
σ per bar
0.063pp
one-bar volatility · logit-free
Per-day movedaily
0.31pp
σ × √24
Per-horizon move7d
0.82pp
σ × √168
Terminal variancebinary
0.1661
p(1−p) at resolution
Current pricep
21.0¢
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
21.0%
= price
Decimal oddsEU
4.752
total return per $1
AmericanUS
+375
$100 wins $375
FractionalUK
3.75 / 1
profit per $1 risked
Profit per $100stake
+$375.22
clean dollar framing
-1000-5000+500+1000020406080100you · 21.0%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)
0.742 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.742 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
2.25 bit
self-information
Surprise · NO−log₂(1−p)
0.34 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 09:43:19 UTC
Snapshot age
2.5s
Page rendered
2026-06-14 09:43:22 UTC
History points
23 closes · 23 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
f4a6f6cf177981167754136edd1ddbf7db4f6cc93ddfaa4faf026f2cf080c7b7 · 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)
708.52%
σ per bar = 0.003090
Mean return (annualised)
-1452.16%
μ per bar = -0.000003
Sharpe (rf=0)
-2.05
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