HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #442

Ecuador

Primary · Yes
86.5¢
Counter · No
13.5¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-ecuador-442 · fresh · feed 6s old
24h sparkline · 60 pts
realized vol (ann.)
27.48%
max drawdown
0.59%
sharpe
ulcer index
0.24%
RMS drawdown
pain index
0.18%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
0.49%
cond. drawdown
gain/pain
1.01
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
1.01
upside/downside
roll spread
0.1 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-ecuador-442/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH6.1s--:--:-- 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
86.5¢
No mid · live
13.5¢
Yes · live 24h price
n=24 · μ=0.8745 · σ=0.0058 · range [0.8657, 0.8846] · R²=0.152 FALLING -0.14%σ LOW 0.66%LAST 0.86970.88460.87990.87510.87040.8657μ = 0.8745max 0.8846min 0.8657dataMA(4)OLS R²=0.15μ lineμ ± σ bandmaxminlive endpoint
24 bars · close 86.97¢ · 24h -0.14%
Probability split · live
Yes 86.5%No 13.5%YES86.5%86.53¢ · odds 1/1.16
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.570 / 1.00 bits (57%) · moderate uncertainty
Yes
86.5%86.5¢1.16× +0.00pp
No
13.5%13.5¢7.42× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=24 · Σ=130,824 · μ=5451.0 · σ=14010.1 · CV=2.57BURSTY · concentratedcumulative energy ↗ · 50% by h=17012,28624,57236,85849,144μ = 545149,14450%h1h5h9h13h17h21#1 peak#2-3> μactivequietμ linecum energy
Σ 130824 · peak 49144
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
6.1s
Yes mid
86.529¢
No mid
13.470¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
24 bars
Δ24h close
86.97¢
Δ24h change
-0.14%

§1 · 24h time-series

Mid price · Yes (24 hourly observations)
n=24 · μ=0.8745 · σ=0.0058 · range [0.8657, 0.8846] · R²=0.152 FALLING -0.14%σ LOW 0.66%LAST 0.86970.88460.87990.87510.87040.8657μ = 0.8745max 0.8846min 0.8657dataMA(4)OLS R²=0.15μ lineμ ± σ bandmaxmin
range [86.57¢, 88.46¢] · span 1.89pp · MA(5) latest 86.91¢
Candlestick · open / high / low / close per hour
n=24 · up 18 · down 6 (75% up) · range [0.8603, 0.8846] · σ=0.0058 · CV=0.01 · bodyµ=33%BEARISH -1.28%CLOSE 0.8697 vs OPEN 0.8809 (-1.28%)&#9660; CLOSE 0.86970.88460.87850.87250.86640.8603μ close = 0.8745O0.881 H0.881 L0.871 C0.871 (-1.14%)O0.881 H0.881 L0.871 C0.871 (-1.14%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.878 H0.885 L0.878 C0.885 (+0.74%)O0.878 H0.885 L0.878 C0.885 (+0.74%)O0.885 H0.885 L0.885 C0.885 (+0.00%)O0.885 H0.885 L0.885 C0.885 (+0.00%)O0.885 H0.885 L0.885 C0.885 (+0.00%)O0.885 H0.885 L0.885 C0.885 (+0.00%)O0.885 H0.885 L0.885 C0.885 (+0.00%)O0.885 H0.885 L0.885 C0.885 (+0.00%)O0.877 H0.877 L0.877 C0.877 (+0.00%)O0.877 H0.877 L0.877 C0.877 (+0.00%)O0.878 H0.878 L0.878 C0.878 (+0.00%)O0.878 H0.878 L0.878 C0.878 (+0.00%)O0.878 H0.878 L0.878 C0.878 (+0.00%)O0.878 H0.878 L0.878 C0.878 (+0.00%)O0.878 H0.878 L0.868 C0.877 (-0.18%)O0.878 H0.878 L0.868 C0.877 (-0.18%)O0.877 H0.877 L0.877 C0.877 (+0.00%)O0.877 H0.877 L0.877 C0.877 (+0.00%)O0.877 H0.877 L0.877 C0.877 (+0.00%)O0.877 H0.877 L0.877 C0.877 (+0.00%)O0.878 H0.878 L0.867 C0.877 (-0.10%)O0.878 H0.878 L0.867 C0.877 (-0.10%)O0.867 H0.872 L0.867 C0.872 (+0.57%)O0.867 H0.872 L0.867 C0.872 (+0.57%)-1.3%O0.877 H0.877 L0.866 C0.866 (-1.25%)O0.877 H0.877 L0.866 C0.866 (-1.25%)O0.876 H0.876 L0.871 C0.871 (-0.54%)O0.876 H0.876 L0.871 C0.871 (-0.54%)O0.870 H0.870 L0.870 C0.870 (+0.00%)O0.870 H0.870 L0.870 C0.870 (+0.00%)O0.860 H0.870 L0.860 C0.870 (+1.10%)O0.860 H0.870 L0.860 C0.870 (+1.10%)O0.870 H0.870 L0.870 C0.870 (-0.01%)O0.870 H0.870 L0.870 C0.870 (-0.01%)O0.866 H0.866 L0.866 C0.866 (+0.00%)O0.866 H0.866 L0.866 C0.866 (+0.00%)O0.860 H0.870 L0.860 C0.870 (+1.09%)O0.860 H0.870 L0.860 C0.870 (+1.09%)#1#5#9#13#17#21up bar (C≥O)down bar (C<O)MA(4) closeμ closedoji (~no body)biggest body
24 bars · last close 86.97¢
Hourly traded contracts
n=24 · Σ=130,824 · μ=5451.0 · σ=14010.1 · CV=2.57BURSTY · concentratedcumulative energy &nearr; · 50% by h=17012,28624,57236,85849,144μ = 545124 · 0.0% peak24 · 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% peak25,000 · 50.9% peak25,000 · 50.9% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak1,412 · 2.9% peak1,412 · 2.9% peak31 · 0.1% peak31 · 0.1% peak0 · 0.0% peak0 · 0.0% peak8,022 · 16.3% peak8,022 · 16.3% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak119 · 0.2% peak119 · 0.2% peak46,052 · 93.7% peak46,052 · 93.7% peak435 · 0.9% peak435 · 0.9% peak351 · 0.7% peak351 · 0.7% peak12 · 0.0% peak12 · 0.0% peak60 · 0.1% peak60 · 0.1% peak38 · 0.1% peak38 · 0.1% peak124 · 0.3% peak124 · 0.3% peak49,14449,144 · 100.0% peak49,144 · 100.0% peak50%#1#5#9#13#17#21#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 130824 · peak 49144 · mean 5451.0

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

Histogram of Δp
n=23 · 12 bins · μ=0.0001 · σ=0.0039 · skew=1.06 (right-skewed) · kurt=2.98 (leptokurtic (fat tails))13107302-0.66ppbin -0.66pp · n=2 · 15.4% peakbin -0.66pp · n=2 · 15.4% peak2-0.48ppbin -0.48pp · n=2 · 15.4% peakbin -0.48pp · n=2 · 15.4% peak-0.31pp3-0.13ppbin -0.13pp · n=3 · 23.1% peakbin -0.13pp · n=3 · 23.1% peak130.05ppbin 0.05pp · n=13 · 100.0% peakbin 0.05pp · n=13 · 100.0% peak0.22pp10.40ppbin 0.40pp · n=1 · 7.7% peakbin 0.40pp · n=1 · 7.7% peak10.58ppbin 0.58pp · n=1 · 7.7% peakbin 0.58pp · n=1 · 7.7% peak0.75pp0.93pp1.11pp11.28ppbin 1.28pp · n=1 · 7.7% peakbin 1.28pp · n=1 · 7.7% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=23 · positive 6 · negative 7
Q-Q plot · standardised Δp vs N(0,1)
n=23 · skew=1.36 · kurt=4.06 · near 11 / mid 11 / far 1 · OLS slope=0.90 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=24RIGHT-SKEWED (G₁=0.52)
μ MEAN87.45¢95% CI: [87.22¢, 87.68¢]
σ STD DEV0.58ppσ² = 0.334 · CV = 0.66%
med MEDIAN87.17¢Q₁ 87.08¢ · Q₃ 87.73¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 86.57¢Q₁ 87.08¢med 87.17¢Q₃ 87.73¢max 88.46¢μ
SKEWNESS · G₁0.523right-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂-0.886mesokurtic · normal-like
−30+2+4+6
μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.47
σ × 1.349 ↔ IQRdiverges from normalratio = 1.20
range ↔ σconcentrated (range < 4σ)range / σ = 3.28
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-0.084within white-noise band
ρ(2) AUTOCORR-0.068lag-2 not significant
H · HURST EXPONENT0.635persistent
OLS TREND · t-STAT-1.987significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.635PERSISTENT
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=1-0.084k=2-0.068k=3+0.060k=4-0.330k=5+0.1610+1−1+0.420.42+ momentum (ρ > +0.42)− reversal (ρ < −0.42)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 0.35high · clear structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 5% (|t|=1.99)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#442
SLUGecuador-442
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES86.53¢implied prob 86.53% · decimal odds 1.16×
COUNTER · NO13.47¢implied prob 13.47% · decimal odds 7.42×
86.53¢
13.47¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME130.82k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS YES (87¢)|primary − counter| = 0.731 · entropy 0.570 bits
LIQUIDITY DEPTHDEEP100k+ 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 86.5%No 13.5%YES86.5%H = 0.570 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes1.16×(87¢)No7.42×(13¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.570 bits (57% 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 Ecuador wins the Game.

§10 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=23 bars · best 1.37% · worst -0.75% · typical |Δ| 0.22%MILD BEARISH -0.12%BEST+1.37%16hWORST-0.75%20hTYPICAL |Δ|0.22%mean absoluteCUMULATIVE-0.12%Σ signed ΔSTREAK↗ 1up-runASIA · 00-08 UTCμ -0.08% · Σ -0.67%EUROPE · 08-16 UTCμ -0.00% · Σ -0.02%US · 16-24 UTCμ +0.07% · Σ +0.56%CUMULATIVE Δ PATH · final -0.12%+1.37%-0.52%0.00% · 12h0.00% · 12h·12h0.00% · 13h0.00% · 13h·13h0.00% · 14h0.00% · 14h·14h0.00% · 15h0.00% · 15h·15h1.37% · 16h1.37% · 16h1.37%16h★ BEST0.00% · 17h0.00% · 17h·17h0.00% · 18h0.00% · 18h·18h0.00% · 19h0.00% · 19h·19h-0.75% · 20h-0.75% · 20h-0.75%20h▼ WORST0.05% · 21h0.05% · 21h0.05%21h0.00% · 22h0.00% · 22h·22h-0.11% · 23h-0.11% · 23h-0.11%23h0.00% · 00h0.00% · 00h·00h0.00% · 01h0.00% · 01h·01h0.06% · 02h0.06% · 02h0.06%02h-0.51% · 03h-0.51% · 03h-0.51%03h-0.59% · 04h-0.59% · 04h-0.59%04h0.54% · 05h0.54% · 05h0.54%05h-0.11% · 06h-0.11% · 06h-0.11%06h-0.05% · 07h-0.05% · 07h-0.05%07h0.00% · 08h0.00% · 08h0.00%08h-0.42% · 09h-0.42% · 09h-0.42%09h0.40% · 10h0.40% · 10h0.40%10hTIME PATTERNUS-led (+0.56%)RUNSup max 1 · down max 2BREADTH26% up · 30% down · 43% flat
6 up bars · 7 down · best 1.37% · worst -0.75% · typical |Δ| 0.216%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=24 barsLOSS · SHALLOW DD (-0.14%)FINAL-0.14%MAX DD-1.89%RECOVERYONGOING · 15 barsMAX RUN-UP+1.37%UNDERWATER15/24 (63%)STREAK↗ 1EQUITY CURVE · end 0.9986 · peak 1.0137 · range [0.9946, 1.0137]1.01370.9946break-even = 1★ PEAK 1.0137UNDERWATER DRAWDOWN · max -1.89% · moderate0%-1.89%▼ TROUGH -1.89%TOP DRAWDOWN PERIODS · 1 total#1 -1.89%bar 10-24 · 15 bars · ONGOINGDD SEVERITYmoderate (max -1.89%)RECOVERYongoing · 15 barsTIME UNDER WATER63% of session · 15/24 bars
final equity 0.9986 (-0.14%) · max DD -1.89% · time-under-water 15/24 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +5 / −14 (26% positive) · μ=-12.02 · σ=33.65UNPROFITABLE STRATEGYLAST -11.37 (+0.02σ vs μ)62.1931.100.00-31.10-62.19μ = -12.0241.8641.8641.8641.8641.8641.8641.8641.8615.1515.15-38.13-38.13-38.13-38.13-45.49-45.49-45.49-45.49-18.79-18.79-17.27-17.27-46.19-46.19-62.19-62.19-20.53-20.53-25.19-25.19-30.11-30.11-9.80-9.80-2.27-2.27-11.37-11.37v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -11.374 · range [-62.19, 41.86] · μ -12.020 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=37.6771 · σ=17.3833 · range [5.7819, 71.9413] · R²=0.235 FALLING -51.95%σ EXTREME 46.14%LAST 27.572371.941355.401538.861622.32185.7819μ = 37.6771max 71.9413min 5.7819dataMA(3)OLS R²=0.23μ lineμ ± σ bandmaxmin
latest 27.57% · range [5.78%, 71.94%] · μ 37.68% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +1 / −18 (5% positive) · μ=-0.210 · σ=0.201MEAN-REVERSIONLAST -0.529 (-1.58σ vs μ)0.5550.2770.000-0.277-0.555μ = -0.210-0.050-0.050-0.300-0.300-0.300-0.300-0.300-0.300-0.007-0.007-0.350-0.350-0.334-0.334-0.402-0.402-0.171-0.171-0.103-0.103-0.093-0.093-0.168-0.1680.3400.340-0.191-0.191-0.227-0.227-0.143-0.143-0.555-0.555-0.118-0.118-0.529-0.529v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.529 · |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
36.1997
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
4.5369
p-VALUE (log scale)
0.4762
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
-1.6730
p-VALUE (log scale)
0.4510
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedrandom-walk behaviour (crit ≈ -2.86)
±

Wald-Wolfowitz runs

REJECT H₀*

H₀: Sign sequence of Δ is random

STATISTIC
2.0634
p-VALUE (log scale)
0.0391
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-random sign pattern (11 runs)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.3213
p-VALUE (log scale)
0.1449
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
-0.3126
p-VALUE (log scale)
0.7546
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.935 ≈ 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=1.69e-5 · top T=2.56h (35.4%) · top-3 cover 64.1%1 SIGNIFICANT CYCLEcumulative energy ↗ (1 bin above 2× noise)6.6e-54.9e-53.3e-51.6e-50.0e+0μ noise floor2× noise (significance)period 23.0 · power 1.73e-5 · 9.3% energyperiod 23.0 · power 1.73e-5 · 9.3% energyperiod 11.5 · power 7.98e-6 · 4.3% energyperiod 11.5 · power 7.98e-6 · 4.3% energyperiod 7.7 · power 2.50e-5 · 13.5% energyperiod 7.7 · power 2.50e-5 · 13.5% energyperiod 5.8 · power 1.02e-5 · 5.5% energyperiod 5.8 · power 1.02e-5 · 5.5% energyperiod 4.6 · power 2.81e-5 · 15.2% energyperiod 4.6 · power 2.81e-5 · 15.2% energyperiod 3.8 · power 7.86e-7 · 0.4% energyperiod 3.8 · power 7.86e-7 · 0.4% energyperiod 3.3 · power 2.08e-5 · 11.2% energyperiod 3.3 · power 2.08e-5 · 11.2% energyperiod 2.9 · power 1.03e-6 · 0.6% energyperiod 2.9 · power 1.03e-6 · 0.6% energyperiod 2.6 · power 6.57e-5 · 35.4% energyperiod 2.6 · power 6.57e-5 · 35.4% energyperiod 2.3 · power 7.34e-6 · 4.0% energyperiod 2.3 · power 7.34e-6 · 4.0% energyperiod 2.1 · power 1.19e-6 · 0.6% energyperiod 2.1 · power 1.19e-6 · 0.6% energy50% by T=3.3h#1 dominantT=2.56h#2T=4.60h#3T=7.67hT=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 ≈ 2.56h (freq 0.391) · concentrates 35.4% of total energy · Σ|X̂|²/n = 1.854e-4

▸ Depth section using sovereign-store price series (4506 bars · effective 5254346 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 0.459pp · expected |Δp| over horizon 5.95ppterminal variance p(1−p) = 0.1166 · n = 4506n = 4506
μ per bar
+0.008pp
average Δp · drift
σ per bar
0.459pp
one-bar volatility · logit-free
Per-day movedaily
2.25pp
σ × √24
Per-horizon move7d
5.95pp
σ × √168
Terminal variancebinary
0.1166
p(1−p) at resolution
Current pricep
86.5¢
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 0.75pp · ES₉₅ 0.94pp · method parametric · drift-correcteddrift +0.008pp/bar · quantised: yes · median step 0.00pp · unique ratio 0.04n = 4506
VaR 95%
0.75pp
1.645·σ (parametric) of Δp
ES 95%
0.94pp
mean of the tail
Max drawdown
10.0pp
peak 88.0¢ → trough 79.2¢
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
86.5%
= price
Decimal oddsEU
1.156
total return per $1
AmericanUS
-642
risk $642 to win $100
FractionalUK
0.16 / 1
profit per $1 risked
Profit per $100stake
+$15.57
clean dollar framing
-1000-5000+500+1000020406080100you · 86.5%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)
0.570 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.570 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
0.21 bit
self-information
Surprise · NO−log₂(1−p)
2.89 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
2026-06-20 11:42:03 UTC
Snapshot age
6.1s
Page rendered
2026-06-20 11:42:10 UTC
History points
24 closes · 24 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
6f4a6d9e2887dc42a9103031344835225832c851a87c0d6700c024398451a6b8 · 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 · 4,506 barsperiods/year ≈ 5.25M
Realized vol (annualised)
1501.86%
σ per bar = 0.006552
Mean return (annualised)
63969.17%
μ per bar = 0.000122
Sharpe (rf=0)
42.59
annualised; risk-free assumed zero
Max drawdown
9.99%
peak 0.88 → trough 0.79 over 30 bars

/api/asset/hl-pred-ecuador-442/risk · same metrics, JSON