HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #304

Ecuador

Primary · Yes
37.1¢
Counter · No
62.9¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-ecuador-304 · fresh · feed 2s old
24h sparkline · 60 pts
realized vol (ann.)
16.78%
max drawdown
1.34%
sharpe
ulcer index
0.73%
RMS drawdown
pain index
0.60%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
0.95%
cond. drawdown
gain/pain
0.32
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.32
upside/downside
roll spread
0.0 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-ecuador-304/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH2.0s--:--:-- 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
37.1¢
No mid · live
62.9¢
Yes · live 24h price
n=25 · μ=0.3874 · σ=0.0131 · range [0.3686, 0.4104] · R²=0.827 FALLING -9.01%σ NORMAL 3.39%LAST 0.37340.41040.40000.38950.37910.3686μ = 0.3874max 0.4104min 0.3686dataMA(5)OLS R²=0.83μ lineμ ± σ bandmaxminlive endpoint
25 bars · close 37.34¢ · 24h -9.01%
Probability split · live
Yes 37.1%No 62.9%NO62.9%62.95¢ · odds 1/1.59
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.951 / 1.00 bits (95%) · max uncertainty (~50/50)
Yes
37.1%37.1¢2.70× +0.00pp
No
62.9%62.9¢1.59× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=25 · Σ=8,616 · μ=344.6 · σ=580.3 · CV=1.68BURSTY · concentratedcumulative energy ↗ · 50% by h=1605001,0001,5002,000μ = 3452,00050%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
Σ 8616 · peak 2000
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
2.0s
Yes mid
37.051¢
No mid
62.948¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
25 bars
Δ24h close
37.34¢
Δ24h change
-9.01%

§1 · 24h time-series

Mid price · Yes (25 hourly observations)
n=25 · μ=0.3874 · σ=0.0131 · range [0.3686, 0.4104] · R²=0.827 FALLING -9.01%σ NORMAL 3.39%LAST 0.37340.41040.40000.38950.37910.3686μ = 0.3874max 0.4104min 0.3686dataMA(5)OLS R²=0.83μ lineμ ± σ bandmaxmin
range [36.86¢, 41.04¢] · span 4.18pp · MA(5) latest 37.45¢
Candlestick · open / high / low / close per hour
n=25 · up 21 · down 4 (84% up) · range [0.3686, 0.4104] · σ=0.0131 · CV=0.03 · bodyµ=24%BEARISH -9.01%CLOSE 0.3734 vs OPEN 0.4104 (-9.01%)&#9660; CLOSE 0.37340.41040.40000.38950.37910.3686μ close = 0.3874O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.408 H0.408 L0.408 C0.408 (+0.00%)O0.408 H0.408 L0.408 C0.408 (+0.00%)-4.1%O0.408 H0.408 L0.392 C0.392 (-4.07%)O0.408 H0.408 L0.392 C0.392 (-4.07%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.378 C0.388 (+0.00%)O0.388 H0.388 L0.378 C0.388 (+0.00%)O0.383 H0.383 L0.376 C0.376 (-1.66%)O0.383 H0.383 L0.376 C0.376 (-1.66%)O0.376 H0.376 L0.376 C0.376 (+0.00%)O0.376 H0.376 L0.376 C0.376 (+0.00%)O0.379 H0.379 L0.369 C0.379 (+0.04%)O0.379 H0.379 L0.369 C0.379 (+0.04%)O0.379 H0.379 L0.379 C0.379 (+0.01%)O0.379 H0.379 L0.379 C0.379 (+0.01%)O0.379 H0.379 L0.370 C0.370 (-2.26%)O0.379 H0.379 L0.370 C0.370 (-2.26%)O0.379 H0.379 L0.379 C0.379 (+0.00%)O0.379 H0.379 L0.379 C0.379 (+0.00%)O0.378 H0.378 L0.369 C0.369 (-2.56%)O0.378 H0.378 L0.369 C0.369 (-2.56%)O0.378 H0.378 L0.378 C0.378 (+0.07%)O0.378 H0.378 L0.378 C0.378 (+0.07%)O0.373 H0.373 L0.373 C0.373 (+0.00%)O0.373 H0.373 L0.373 C0.373 (+0.00%)O0.373 H0.373 L0.373 C0.373 (+0.00%)O0.373 H0.373 L0.373 C0.373 (+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 37.34¢
Hourly traded contracts
n=25 · Σ=8,616 · μ=344.6 · σ=580.3 · CV=1.68BURSTY · concentratedcumulative energy &nearr; · 50% by h=1605001,0001,5002,000μ = 34526 · 1.3% peak26 · 1.3% peak0 · 0.0% peak0 · 0.0% peak2,0002,000 · 100.0% peak2,000 · 100.0% peak26 · 1.3% peak26 · 1.3% peak27 · 1.4% peak27 · 1.4% peak127 · 6.3% peak127 · 6.3% peak94 · 4.7% peak94 · 4.7% 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% peak38 · 1.9% peak38 · 1.9% peak625 · 31.3% peak625 · 31.3% peak147 · 7.3% peak147 · 7.3% peak1,928 · 96.4% peak1,928 · 96.4% peak0 · 0.0% peak0 · 0.0% peak795 · 39.8% peak795 · 39.8% peak480 · 24.0% peak480 · 24.0% peak55 · 2.8% peak55 · 2.8% peak100 · 5.0% peak100 · 5.0% peak1,329 · 66.5% peak1,329 · 66.5% peak329 · 16.4% peak329 · 16.4% peak351 · 17.5% peak351 · 17.5% peak139 · 7.0% peak139 · 7.0% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 8616 · peak 2000 · mean 344.6

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

Histogram of Δp
n=24 · 12 bins · μ=-0.0016 · σ=0.0053 · skew=-0.62 (left-skewed) · kurt=1.04 (leptokurtic (fat tails))14117401-1.56ppbin -1.56pp · n=1 · 7.1% peakbin -1.56pp · n=1 · 7.1% peak-1.34pp1-1.12ppbin -1.12pp · n=1 · 7.1% peakbin -1.12pp · n=1 · 7.1% peak2-0.89ppbin -0.89pp · n=2 · 14.3% peakbin -0.89pp · n=2 · 14.3% peak-0.67pp2-0.45ppbin -0.45pp · n=2 · 14.3% peakbin -0.45pp · n=2 · 14.3% peak1-0.23ppbin -0.23pp · n=1 · 7.1% peakbin -0.23pp · n=1 · 7.1% peak14-0.01ppbin -0.01pp · n=14 · 100.0% peakbin -0.01pp · n=14 · 100.0% peak10.21ppbin 0.21pp · n=1 · 7.1% peakbin 0.21pp · n=1 · 7.1% peak0.43pp0.65pp20.87ppbin 0.87pp · n=2 · 14.3% peakbin 0.87pp · n=2 · 14.3% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 5 · negative 9
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=-0.68 · kurt=1.18 · near 11 / mid 13 / far 0 · OLS slope=0.94 intercept=-0.00APPROXIMATELY NORMALUPPER TAIL NORMALMILDLY 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=0.61)
μ MEAN38.74¢95% CI: [38.22¢, 39.25¢]
σ STD DEV1.31ppσ² = 1.722 · CV = 3.39%
med MEDIAN38.78¢Q₁ 37.84¢ · Q₃ 38.78¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 36.86¢Q₁ 37.84¢med 38.78¢Q₃ 38.78¢max 41.04¢μ
SKEWNESS · G₁0.613right-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂-0.801mesokurtic · normal-like
−30+2+4+6
μ ↔ median≈ equal · symmetric|μ−med| / σ = 0.04
σ × 1.349 ↔ IQRdiverges from normalratio = 1.88
range ↔ σconcentrated (range < 4σ)range / σ = 3.19
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) -0.37 + ADF rejected
ρ(1) AUTOCORR-0.366within white-noise band
ρ(2) AUTOCORR+0.165lag-2 not significant
H · HURST EXPONENT0.779strongly persistent
OLS TREND · t-STAT-10.470significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.779STRONGLY 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=1-0.366k=2+0.165k=3-0.231k=4+0.090k=5-0.1590+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) -0.37 + ADF rejectedfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.92very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=10.47)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#304
SLUGecuador-304
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES37.05¢implied prob 37.05% · decimal odds 2.70×
COUNTER · NO62.95¢implied prob 62.95% · decimal odds 1.59×
37.05¢
62.95¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME8.62k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (63¢)|primary − counter| = 0.259 · entropy 0.951 bits
LIQUIDITY DEPTHMODEST100k+ 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 37.1%No 62.9%YES37.1%H = 0.951 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes2.70×(37¢)No1.59×(63¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.951 bits (95% of max) · maximum uncertainty (~50/50)
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 Ecuador wins the Game.

§10 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 0.98% · worst -1.67% · typical |Δ| 0.33%BEARISH SESSION -3.70%BEST+0.98%12hWORST-1.67%19hTYPICAL |Δ|0.33%mean absoluteCUMULATIVE-3.70%Σ signed ΔSTREAK▬ 0flat-runASIA · 00-08 UTCμ -0.11% · Σ -0.90%EUROPE · 08-16 UTCμ -0.07% · Σ -0.54%US · 16-24 UTCμ -0.28% · Σ -2.26%CUMULATIVE Δ PATH · final -3.70%+0.00%-4.18%0.00% · 15h0.00% · 15h·15h-0.06% · 16h-0.06% · 16h-0.06%16h0.06% · 17h0.06% · 17h0.06%17h-0.22% · 18h-0.22% · 18h-0.22%18h-1.67% · 19h-1.67% · 19h-1.67%19h▼ WORST-0.37% · 20h-0.37% · 20h-0.37%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·02h-0.01% · 03h-0.01% · 03h-0.01%03h0.00% · 04h0.00% · 04h·04h-1.13% · 05h-1.13% · 05h-1.13%05h0.00% · 06h0.00% · 06h·06h0.24% · 07h0.24% · 07h0.24%07h0.00% · 08h0.00% · 08h0.00%08h-0.89% · 09h-0.89% · 09h-0.89%09h0.86% · 10h0.86% · 10h0.86%10h-1.00% · 11h-1.00% · 11h-1.00%11h0.98% · 12h0.98% · 12h0.98%12h★ BEST-0.50% · 13h-0.50% · 13h-0.50%13h0.00% · 14h0.00% · 14h·14hTIME PATTERNEurope-led (+-0.54%)RUNSup max 2 · down max 3BREADTH21% up · 38% down · 42% flat
5 up bars · 9 down · best 0.98% · worst -1.67% · 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 (-3.67%)FINAL-3.67%MAX DD-4.13%RECOVERYONGOING · 23 barsMAX RUN-UP+0.00%UNDERWATER23/25 (92%)STREAK▬ 0EQUITY CURVE · end 0.9633 · peak 1.0000 · range [0.9587, 1.0000]1.00000.9587break-even = 1★ PEAK 1.0000UNDERWATER DRAWDOWN · max -4.13% · moderate0%-4.13%▼ TROUGH -4.13%TOP DRAWDOWN PERIODS · 1 total#1 -4.13%bar 3-25 · 23 bars · ONGOINGDD SEVERITYmoderate (max -4.13%)RECOVERYongoing · 23 barsTIME UNDER WATER92% of session · 23/25 bars
final equity 0.9633 (-3.67%) · max DD -4.13% · time-under-water 23/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +1 / −17 (5% positive) · μ=-32.25 · σ=18.69UNPROFITABLE STRATEGYLAST -9.84 (+1.20σ vs μ)54.1527.070.00-27.07-54.15μ = -32.25-54.15-54.15-54.15-54.15-52.11-52.11-54.00-54.00-47.57-47.57-38.21-38.210.000.00-38.21-38.21-38.21-38.21-38.78-38.78-38.78-38.78-28.72-28.72-28.61-28.61-48.86-48.86-19.19-19.19-17.25-17.253.713.71-9.79-9.79-9.84-9.84v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -9.843 · range [-54.15, 3.71] · μ -32.249 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=48.7988 · σ=26.6036 · range [0.0000, 80.3965] · R²=0.122 RISING +31.98%σ EXTREME 54.52%LAST 80.390580.396560.297440.198320.09910.0000μ = 48.7988max 80.3965min 0.0000dataMA(3)OLS R²=0.12μ lineμ ± σ bandmaxmin
latest 80.39% · range [0.00%, 80.40%] · μ 48.80% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +4 / −14 (21% positive) · μ=-0.222 · σ=0.313MEAN-REVERSIONLAST -0.833 (-1.95σ vs μ)0.8430.4220.000-0.422-0.843μ = -0.2220.0500.050-0.004-0.0040.0020.0020.0340.0340.1670.167-0.033-0.0330.0000.000-0.033-0.033-0.233-0.233-0.037-0.037-0.240-0.240-0.162-0.162-0.129-0.129-0.219-0.219-0.325-0.325-0.650-0.650-0.728-0.728-0.843-0.843-0.833-0.833v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.833 · |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

FAIL TO REJECTns

H₀: Δp ~ Normal(μ, σ²)

STATISTIC
5.1991
p-VALUE (log scale)
0.0743
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
7.0606
p-VALUE (log scale)
0.2150
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
-1.5887
p-VALUE (log scale)
0.4911
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
0.9591
p-VALUE (log scale)
0.3375
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (9 runs)
χ

KPSS (μ stationarity)

REJECT H₀**

H₀: p IS level-stationary

STATISTIC
0.8205
p-VALUE (log scale)
0.0064
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
-1.0713
p-VALUE (log scale)
0.2840
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.674 ≈ 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=3.76e-5 · top T=2.00h (34.3%) · top-3 cover 61.0%1 SIGNIFICANT CYCLEcumulative energy ↗ (1 bin above 2× noise)1.5e-41.2e-47.7e-53.9e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 5.40e-6 · 1.2% energyperiod 24.0 · power 5.40e-6 · 1.2% energyperiod 12.0 · power 3.33e-5 · 7.4% energyperiod 12.0 · power 3.33e-5 · 7.4% energyperiod 8.0 · power 1.91e-5 · 4.2% energyperiod 8.0 · power 1.91e-5 · 4.2% energyperiod 6.0 · power 4.47e-6 · 1.0% energyperiod 6.0 · power 4.47e-6 · 1.0% energyperiod 4.8 · power 5.57e-5 · 12.3% energyperiod 4.8 · power 5.57e-5 · 12.3% energyperiod 4.0 · power 3.54e-8 · 0.0% energyperiod 4.0 · power 3.54e-8 · 0.0% energyperiod 3.4 · power 3.34e-5 · 7.4% energyperiod 3.4 · power 3.34e-5 · 7.4% energyperiod 3.0 · power 1.67e-5 · 3.7% energyperiod 3.0 · power 1.67e-5 · 3.7% energyperiod 2.7 · power 6.48e-5 · 14.4% energyperiod 2.7 · power 6.48e-5 · 14.4% energyperiod 2.4 · power 1.72e-5 · 3.8% energyperiod 2.4 · power 1.72e-5 · 3.8% energyperiod 2.2 · power 4.61e-5 · 10.2% energyperiod 2.2 · power 4.61e-5 · 10.2% energyperiod 2.0 · power 1.55e-4 · 34.3% energyperiod 2.0 · power 1.55e-4 · 34.3% energy50% by T=2.7h#1 dominantT=2.00h#2T=2.67h#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 ≈ 2.00h (freq 0.500) · concentrates 34.3% of total energy · Σ|X̂|²/n = 4.509e-4

▸ 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 0.016pp · expected |Δp| over horizon 0.20ppterminal variance p(1−p) = 0.2332 · n = 5000n = 5000
μ per bar
-0.000pp
average Δp · drift
σ per bar
0.016pp
one-bar volatility · logit-free
Per-day movedaily
0.08pp
σ × √24
Per-horizon move7d
0.20pp
σ × √168
Terminal variancebinary
0.2332
p(1−p) at resolution
Current pricep
37.1¢
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 0.03pp · ES₉₅ 0.03pp · method parametric · drift-correcteddrift -0.000pp/bar · quantised: yes · median step 0.00pp · unique ratio 0.01n = 5000
VaR 95%
0.03pp
1.645·σ (parametric) of Δp
ES 95%
0.03pp
mean of the tail
Max drawdown
3.5pp
peak 38.3¢ → trough 36.9¢
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
37.1%
= price
Decimal oddsEU
2.699
total return per $1
AmericanUS
+170
$100 wins $170
FractionalUK
1.70 / 1
profit per $1 risked
Profit per $100stake
+$169.89
clean dollar framing
-1000-5000+500+1000020406080100you · 37.1%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)
0.951 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.951 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
1.43 bit
self-information
Surprise · NO−log₂(1−p)
0.67 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 14:49:18 UTC
Snapshot age
2.0s
Page rendered
2026-06-14 14:49:20 UTC
History points
25 closes · 25 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
de404ee16067e5cd516a9aa0d79626e9e4f1686d44504fc5e85db0eda23342eb · 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)
94.97%
σ per bar = 0.000414
Mean return (annualised)
-910.11%
μ per bar = -0.000002
Sharpe (rf=0)
-9.58
annualised; risk-free assumed zero
Max drawdown
3.51%
peak 0.38 → trough 0.37 over 2987 bars

/api/asset/hl-pred-ecuador-304/risk · same metrics, JSON