HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #186

Ecuador

Primary · Yes
0.6¢
Counter · No
99.4¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-ecuador-186 · fresh · feed 3s old
24h sparkline · 60 pts
realized vol (ann.)
26.37%
max drawdown
62.10%
sharpe
ulcer index
9.33%
RMS drawdown
pain index
7.48%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
14.07%
cond. drawdown
gain/pain
0.78
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.78
upside/downside
roll spread
1.5 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-186/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH3.2s--:--:-- 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
0.6¢
No mid · live
99.4¢
Yes · live 24h price
n=23 · μ=0.0075 · σ=0.0013 · range [0.0032, 0.0080] · R²=0.341 FALLING -60.05%σ EXTREME 16.79%LAST 0.00320.00800.00680.00560.00440.0032μ = 0.0075max 0.0080min 0.0032dataMA(4)OLS R²=0.34μ lineμ ± σ bandmaxminlive endpoint
23 bars · close 0.32¢ · 24h -60.05%
Probability split · live
Yes 0.6%No 99.4%NO99.4%99.41¢ · odds 1/1.01
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.052 / 1.00 bits (5%) · informative — one side favoured
Yes
0.6%0.6¢169.20× +0.00pp
No
99.4%99.4¢1.01× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=23 · Σ=21,320 · μ=927.0 · σ=2602.7 · CV=2.81BURSTY · concentratedcumulative energy ↗ · 50% by h=2202,3754,7507,1249,499μ = 9279,49950%h1h4h7h10h13h16h19h22#1 peak#2-3> μactivequietμ linecum energy
Σ 21320 · peak 9499
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
3.2s
Yes mid
0.591¢
No mid
99.409¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
23 bars
Δ24h close
0.32¢
Δ24h change
-60.05%

§1 · 24h time-series

Mid price · Yes (23 hourly observations)
n=23 · μ=0.0075 · σ=0.0013 · range [0.0032, 0.0080] · R²=0.341 FALLING -60.05%σ EXTREME 16.79%LAST 0.00320.00800.00680.00560.00440.0032μ = 0.0075max 0.0080min 0.0032dataMA(4)OLS R²=0.34μ lineμ ± σ bandmaxmin
range [0.32¢, 0.80¢] · span 0.48pp · MA(5) latest 0.60¢
Candlestick · open / high / low / close per hour
n=23 · up 23 · down 0 (100% up) · range [0.0032, 0.0080] · σ=0.0013 · CV=0.17 · bodyµ=0%BEARISH -60.05%CLOSE 0.0032 vs OPEN 0.0080 (-60.05%)&#9660; CLOSE 0.00320.00800.00680.00560.00440.0032μ close = 0.0075O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.008 H0.008 L0.008 C0.008 (+0.00%)O0.004 H0.004 L0.004 C0.004 (+0.00%)O0.004 H0.004 L0.004 C0.004 (+0.00%)O0.003 H0.003 L0.003 C0.003 (+0.00%)O0.003 H0.003 L0.003 C0.003 (+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 0.32¢
Hourly traded contracts
n=23 · Σ=21,320 · μ=927.0 · σ=2602.7 · CV=2.81BURSTY · concentratedcumulative energy &nearr; · 50% by h=2202,3754,7507,1249,499μ = 9270 · 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% peak0 · 0.0% peak0 · 0.0% peak9,4999,499 · 100.0% peak9,499 · 100.0% 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% peak3,826 · 40.3% peak3,826 · 40.3% peak7,995 · 84.2% peak7,995 · 84.2% peak50%#1#4#7#10#13#16#19#22#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 21320 · peak 9499 · mean 927.0

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

Histogram of Δp
n=22 · 12 bins · μ=-0.0004 · σ=0.0007 · skew=-4.11 (left-skewed) · kurt=15.52 (leptokurtic (fat tails))191410501-0.36ppbin -0.36pp · n=1 · 5.3% peakbin -0.36pp · n=1 · 5.3% peak-0.33pp-0.30pp-0.27pp-0.24pp-0.20pp-0.17pp-0.14pp-0.11pp1-0.08ppbin -0.08pp · n=1 · 5.3% peakbin -0.08pp · n=1 · 5.3% peak1-0.05ppbin -0.05pp · n=1 · 5.3% peakbin -0.05pp · n=1 · 5.3% peak19-0.02ppbin -0.02pp · n=19 · 100.0% peakbin -0.02pp · n=19 · 100.0% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=22 · positive 0 · negative 3
Q-Q plot · standardised Δp vs N(0,1)
n=22 · skew=-4.11 · kurt=15.52 · near 5 / mid 11 / far 6 · OLS slope=0.55 intercept=0.00LEPTOKURTIC — FAT TAILSTHIN UPPER TAILMILDLY HEAVY LOWER-3σ-3σ-2σ-2σ-1σ-1σ+0σ+0σ+1σ+1σ+2σ+2σ+3σ+3σΔ=-2.49σΔ=-1.72σsample ↓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=5.75)
μ MEAN0.75¢95% CI: [0.70¢, 0.80¢]
σ STD DEV0.13ppσ² = 0.016 · CV = 16.79%
med MEDIAN0.77¢Q₁ 0.77¢ · Q₃ 0.80¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.32¢Q₁ 0.77¢med 0.77¢Q₃ 0.80¢max 0.80¢μ
SKEWNESS · G₁-2.690left-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂5.753leptokurtic · fat tails
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.16
σ × 1.349 ↔ IQRdiverges from normalratio = 4.98
range ↔ σconcentrated (range < 4σ)range / σ = 3.83
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: INDETERMINATE · weak signal at n=22
ρ(1) AUTOCORR+0.120within white-noise band
ρ(2) AUTOCORR-0.012lag-2 not significant
H · HURST EXPONENT1.684strongly persistent
OLS TREND · t-STAT-3.299significant @ α=0.05
HURST EXPONENT [0, 1]
H = 1.684STRONGLY 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+0.120k=2-0.012k=3-0.016k=4-0.019k=5-0.0230+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 CLASSIFICATIONINDETERMINATE · weak signal at n=22from Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 1.00very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=3.30)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#186
SLUGecuador-186
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES0.59¢implied prob 0.59% · decimal odds 169.20×
COUNTER · NO99.41¢implied prob 99.41% · decimal odds 1.01×
0.59¢
99.41¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME21.32k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (99¢)|primary − counter| = 0.988 · entropy 0.052 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 0.6%No 99.4%YES0.6%H = 0.052 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes169.20×(1¢)No1.01×(99¢)
Kelly bet-size (% of bankroll) K* = -0.00%
K* full
-0.00%
½K half
-0.00%
¼K quarter
-0.00%
Entropy H(p̂) = 0.052 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 Ecuador 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=22 bars · best 0.00% · worst -0.38% · typical |Δ| 0.02%MILD BEARISH -0.48%BEST+0.00%17hWORST-0.38%13hTYPICAL |Δ|0.02%mean absoluteCUMULATIVE-0.48%Σ signed ΔSTREAK↘ 2down-runASIA · 00-08 UTCμ -0.00% · Σ -0.03%EUROPE · 08-16 UTCμ -0.06% · Σ -0.45%US · 16-24 UTCμ +0.00% · Σ +0.00%CUMULATIVE Δ PATH · final -0.48%+0.00%-0.48%0.00% · 17h0.00% · 17h·17h★ BEST0.00% · 18h0.00% · 18h·18h0.00% · 19h0.00% · 19h·19h0.00% · 20h0.00% · 20h·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-0.03% · 03h-0.03% · 03h-0.03%03h0.00% · 04h0.00% · 04h·04h0.00% · 05h0.00% · 05h·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-0.38% · 13h-0.38% · 13h-0.38%13h▼ WORST-0.07% · 14h-0.07% · 14h-0.07%14hTIME PATTERNUS-led (+0.00%)RUNSup max 0 · down max 2BREADTH0% up · 14% down · 86% flat
0 up bars · 3 down · best 0.00% · worst -0.38% · typical |Δ| 0.022%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=23 barsLOSS · SHALLOW DD (-0.48%)FINAL-0.48%MAX DD-0.48%RECOVERYONGOING · 12 barsMAX RUN-UP+0.00%UNDERWATER12/23 (52%)STREAK↘ 2EQUITY CURVE · end 0.9952 · peak 1.0000 · range [0.9952, 1.0000]1.00000.9952break-even = 1★ PEAK 1.0000UNDERWATER DRAWDOWN · max -0.48% · shallow0%-0.48%▼ TROUGH -0.48%TOP DRAWDOWN PERIODS · 1 total#1 -0.48%bar 12-23 · 12 bars · ONGOINGDD SEVERITYshallow (max -0.48%)RECOVERYongoing · 12 barsTIME UNDER WATER52% of session · 12/23 bars
final equity 0.9952 (-0.48%) · max DD -0.48% · time-under-water 12/23 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=18 · +0 / −7 (0% positive) · μ=-16.79 · σ=21.75UNPROFITABLE STRATEGYLAST -51.00 (-1.57σ vs μ)51.0025.500.00-25.50-51.00μ = -16.790.000.000.000.000.000.000.000.000.000.000.000.00-41.86-41.86-41.86-41.86-41.86-41.86-41.86-41.86-41.86-41.860.000.000.000.000.000.000.000.000.000.00-41.86-41.86-51.00-51.00v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -50.997 · range [-51.00, 0.00] · μ -16.785 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=18 · μ=2.1275 · σ=4.9397 · range [0.0000, 15.8219] · R²=0.300 FLATσ EXTREME 232.19%LAST 15.356615.821911.86647.91103.95550.0000μ = 2.1275max 15.8219min 0.0000dataMA(3)OLS R²=0.30μ lineμ ± σ bandmaxmin
latest 15.36% · range [0.00%, 15.82%] · μ 2.13% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=18 · +0 / −7 (0% positive) · μ=-0.066 · σ=0.114MEAN-REVERSIONLAST -0.146 (-0.70σ vs μ)0.3000.1500.000-0.150-0.300μ = -0.0660.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000-0.050-0.050-0.300-0.300-0.300-0.300-0.300-0.300-0.050-0.0500.0000.0000.0000.0000.0000.0000.0000.0000.0000.000-0.050-0.050-0.146-0.146v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.146 · |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 5 REJECT · mixed evidence2 reject·3 pass·1 n/a·α = 0.05
𝒩

Jarque-Bera

REJECT H₀***

H₀: Δp ~ Normal(μ, σ²)

STATISTIC
440.3038
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
0.3998
p-VALUE (log scale)
0.9936
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
0.7684
p-VALUE (log scale)
0.9990
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedrandom-walk behaviour (crit ≈ -2.86)
±

Wald-Wolfowitz runs

N/An/a

H₀: Sign sequence of Δ is random

STATISTIC
p-VALUE (log scale)
no decision possibleinsufficient sign variety (0+/3-)
χ

KPSS (μ stationarity)

REJECT H₀*

H₀: p IS level-stationary

STATISTIC
0.4765
p-VALUE (log scale)
0.0470
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-stationary (crit 0.463)
χ

Variance ratio q=2

FAIL TO REJECTns

H₀: Δp is a random walk · VR = 1

STATISTIC
0.7770
p-VALUE (log scale)
0.4372
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 1.166 ≈ 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=6.53e-7 · top T=11.00h (13.9%) · top-3 cover 36.4%WHITE NOISE · no dominant cyclecumulative energy ↗ (0 bins above 2× noise)1.0e-67.5e-75.0e-72.5e-70.0e+0μ noise floorperiod 22.0 · power 7.70e-7 · 10.7% energyperiod 22.0 · power 7.70e-7 · 10.7% energyperiod 11.0 · power 9.95e-7 · 13.9% energyperiod 11.0 · power 9.95e-7 · 13.9% energyperiod 7.3 · power 7.34e-7 · 10.2% energyperiod 7.3 · power 7.34e-7 · 10.2% energyperiod 5.5 · power 8.45e-7 · 11.8% energyperiod 5.5 · power 8.45e-7 · 11.8% energyperiod 4.4 · power 6.72e-7 · 9.4% energyperiod 4.4 · power 6.72e-7 · 9.4% energyperiod 3.7 · power 6.47e-7 · 9.0% energyperiod 3.7 · power 6.47e-7 · 9.0% energyperiod 3.1 · power 6.05e-7 · 8.4% energyperiod 3.1 · power 6.05e-7 · 8.4% energyperiod 2.8 · power 4.66e-7 · 6.5% energyperiod 2.8 · power 4.66e-7 · 6.5% energyperiod 2.4 · power 5.54e-7 · 7.7% energyperiod 2.4 · power 5.54e-7 · 7.7% energyperiod 2.2 · power 3.58e-7 · 5.0% energyperiod 2.2 · power 3.58e-7 · 5.0% energyperiod 2.0 · power 5.35e-7 · 7.4% energyperiod 2.0 · power 5.35e-7 · 7.4% energy50% by T=4.4h#1 dominantT=11.00h#2T=5.50h#3T=22.00hT=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 ≈ 11.00h (freq 0.091) · concentrates 13.9% of total energy · Σ|X̂|²/n = 7.182e-6

▸ 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 0.007pp · expected |Δp| over horizon 0.09ppterminal variance p(1−p) = 0.0059 · n = 5000n = 5000
μ per bar
-0.000pp
average Δp · drift
σ per bar
0.007pp
one-bar volatility · logit-free
Per-day movedaily
0.04pp
σ × √24
Per-horizon move7d
0.09pp
σ × √168
Terminal variancebinary
0.0059
p(1−p) at resolution
Current pricep
0.6¢
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 0.01pp · ES₉₅ 0.02pp · method parametric · drift-correcteddrift -0.000pp/bar · quantised: yes · median step 0.03pp · unique ratio 0.00n = 5000
VaR 95%
0.01pp
1.645·σ (parametric) of Δp
ES 95%
0.02pp
mean of the tail
Max drawdown
62.1pp
peak 0.7¢ → trough 0.3¢
Median step
0.03pp
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
0.6%
= price
Decimal oddsEU
169.205
total return per $1
AmericanUS
+16820
$100 wins $16820
FractionalUK
168.20 / 1
profit per $1 risked
Profit per $100stake
+$16820.47
clean dollar framing
-1000-5000+500+1000020406080100you · 0.6%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)
0.052 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.052 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
7.40 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 16:03:02 UTC
Snapshot age
3.2s
Page rendered
2026-06-14 16:03:06 UTC
History points
23 closes · 23 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
f36974c19ea65b0cb655df825d762b0fc25c1d508235799758abb18f957b44e4 · 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)
4001.56%
σ per bar = 0.017451
Mean return (annualised)
-15678.00%
μ per bar = -0.000030
Sharpe (rf=0)
-3.92
annualised; risk-free assumed zero
Max drawdown
62.10%
peak 0.01 → trough 0.00 over 4243 bars

/api/asset/hl-pred-ecuador-186/risk · same metrics, JSON