HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #178

Brazil

Primary · Yes
7.4¢
Counter · No
92.6¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-brazil-178 · fresh · feed 2s old
24h sparkline · 60 pts
realized vol (ann.)
0.45%
max drawdown
0.07%
sharpe
ulcer index
0.00%
RMS drawdown
pain index
0.00%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
0.01%
cond. drawdown
gain/pain
1.91
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
1.91
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-brazil-178/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH2.2s--:--:-- 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
7.4¢
No mid · live
92.6¢
Yes · live 24h price
n=23 · μ=0.0799 · σ=0.0043 · range [0.0739, 0.0837] · R²=0.672 FALLING -10.72%σ HIGH 5.36%LAST 0.07410.08370.08130.07880.07640.0739μ = 0.0799max 0.0837min 0.0739dataMA(4)OLS R²=0.67μ lineμ ± σ bandmaxminlive endpoint
23 bars · close 7.41¢ · 24h -10.72%
Probability split · live
Yes 7.4%No 92.6%NO92.6%92.56¢ · odds 1/1.08
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.382 / 1.00 bits (38%) · informative — one side favoured
Yes
7.4%7.4¢13.44× +0.00pp
No
92.6%92.6¢1.08× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=23 · Σ=132,754 · μ=5771.9 · σ=19486.8 · CV=3.38BURSTY · concentratedcumulative energy ↗ · 50% by h=14023,54447,08770,63194,174μ = 577294,17450%h1h4h7h10h13h16h19h22#1 peak#2-3> μactivequietμ linecum energy
Σ 132754 · peak 94174
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
2.2s
Yes mid
7.440¢
No mid
92.561¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
23 bars
Δ24h close
7.41¢
Δ24h change
-10.72%

§1 · 24h time-series

Mid price · Yes (23 hourly observations)
n=23 · μ=0.0799 · σ=0.0043 · range [0.0739, 0.0837] · R²=0.672 FALLING -10.72%σ HIGH 5.36%LAST 0.07410.08370.08130.07880.07640.0739μ = 0.0799max 0.0837min 0.0739dataMA(4)OLS R²=0.67μ lineμ ± σ bandmaxmin
range [7.39¢, 8.37¢] · span 0.98pp · MA(5) latest 7.43¢
Candlestick · open / high / low / close per hour
n=23 · up 18 · down 5 (78% up) · range [0.0739, 0.0896] · σ=0.0043 · CV=0.05 · bodyµ=29%BEARISH -10.72%CLOSE 0.0741 vs OPEN 0.0830 (-10.72%)&#9660; CLOSE 0.07410.08960.08570.08180.07780.0739μ close = 0.0799O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.083 L0.083 C0.083 (+0.25%)O0.083 H0.083 L0.083 C0.083 (+0.25%)O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.083 L0.083 C0.083 (-0.33%)O0.083 H0.083 L0.083 C0.083 (-0.33%)O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.083 L0.083 C0.083 (+0.00%)O0.083 H0.084 L0.083 C0.084 (+0.54%)O0.083 H0.084 L0.083 C0.084 (+0.54%)O0.084 H0.084 L0.084 C0.084 (+0.00%)O0.084 H0.084 L0.084 C0.084 (+0.00%)O0.084 H0.084 L0.084 C0.084 (+0.04%)O0.084 H0.084 L0.084 C0.084 (+0.04%)O0.084 H0.090 L0.077 C0.083 (-0.27%)O0.084 H0.090 L0.077 C0.083 (-0.27%)O0.083 H0.083 L0.081 C0.081 (-2.86%)O0.083 H0.083 L0.081 C0.081 (-2.86%)-3.9%O0.077 H0.077 L0.074 C0.074 (-3.88%)O0.077 H0.077 L0.074 C0.074 (-3.88%)O0.074 H0.074 L0.074 C0.074 (+0.00%)O0.074 H0.074 L0.074 C0.074 (+0.00%)O0.074 H0.074 L0.074 C0.074 (-0.07%)O0.074 H0.074 L0.074 C0.074 (-0.07%)O0.074 H0.074 L0.074 C0.074 (+0.00%)O0.074 H0.074 L0.074 C0.074 (+0.00%)O0.074 H0.074 L0.074 C0.074 (+0.00%)O0.074 H0.074 L0.074 C0.074 (+0.00%)O0.075 H0.075 L0.075 C0.075 (+0.01%)O0.075 H0.075 L0.075 C0.075 (+0.01%)O0.075 H0.075 L0.075 C0.075 (+0.00%)O0.075 H0.075 L0.075 C0.075 (+0.00%)O0.074 H0.074 L0.074 C0.074 (+0.00%)O0.074 H0.074 L0.074 C0.074 (+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 7.41¢
Hourly traded contracts
n=23 · Σ=132,754 · μ=5771.9 · σ=19486.8 · CV=3.38BURSTY · concentratedcumulative energy &nearr; · 50% by h=14023,54447,08770,63194,174μ = 57720 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak130 · 0.1% peak130 · 0.1% peak361 · 0.4% peak361 · 0.4% peak674 · 0.7% peak674 · 0.7% peak0 · 0.0% peak0 · 0.0% peak200 · 0.2% peak200 · 0.2% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak429 · 0.5% peak429 · 0.5% peak1,133 · 1.2% peak1,133 · 1.2% peak7,848 · 8.3% peak7,848 · 8.3% peak94,17494,174 · 100.0% peak94,174 · 100.0% peak1,292 · 1.4% peak1,292 · 1.4% peak5,981 · 6.4% peak5,981 · 6.4% peak0 · 0.0% peak0 · 0.0% peak6,073 · 6.4% peak6,073 · 6.4% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak10,078 · 10.7% peak10,078 · 10.7% peak3,306 · 3.5% peak3,306 · 3.5% peak1,075 · 1.1% peak1,075 · 1.1% peak50%#1#4#7#10#13#16#19#22#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 132754 · peak 94174 · mean 5771.9

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

Histogram of Δp
n=22 · 12 bins · μ=-0.0004 · σ=0.0015 · skew=-3.09 (left-skewed) · kurt=9.03 (leptokurtic (fat tails))14117401-0.63ppbin -0.63pp · n=1 · 7.1% peakbin -0.63pp · n=1 · 7.1% peak-0.57pp-0.50pp-0.44pp-0.37pp1-0.31ppbin -0.31pp · n=1 · 7.1% peakbin -0.31pp · n=1 · 7.1% peak-0.24pp-0.18pp-0.12pp4-0.05ppbin -0.05pp · n=4 · 28.6% peakbin -0.05pp · n=4 · 28.6% peak140.01ppbin 0.01pp · n=14 · 100.0% peakbin 0.01pp · n=14 · 100.0% peak20.08ppbin 0.08pp · n=2 · 14.3% peakbin 0.08pp · n=2 · 14.3% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=22 · positive 5 · negative 7
Q-Q plot · standardised Δp vs N(0,1)
n=22 · skew=-3.17 · kurt=9.91 · near 6 / mid 13 / far 3 · OLS slope=0.73 intercept=0.00LEPTOKURTIC — FAT TAILSTHIN UPPER TAILMILDLY HEAVY LOWER-3σ-3σ-2σ-2σ-1σ-1σ+0σ+0σ+1σ+1σ+2σ+2σ+3σ+3σΔ=-2.08σsample ↓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=23LEFT-SKEWED (G₁=-0.56)
μ MEAN7.99¢95% CI: [7.81¢, 8.16¢]
σ STD DEV0.43ppσ² = 0.183 · CV = 5.36%
med MEDIAN8.27¢Q₁ 7.44¢ · Q₃ 8.30¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 7.39¢Q₁ 7.44¢med 8.27¢Q₃ 8.30¢max 8.37¢μ
SKEWNESS · G₁-0.556left-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂-1.696platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.66
σ × 1.349 ↔ IQRdiverges from normalratio = 0.67
range ↔ σconcentrated (range < 4σ)range / σ = 2.29
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: TRENDING · variance ratio > 1
ρ(1) AUTOCORR+0.304within white-noise band
ρ(2) AUTOCORR-0.037lag-2 not significant
H · HURST EXPONENT0.900strongly persistent
OLS TREND · t-STAT-6.554significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.900STRONGLY 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+0.304k=2-0.037k=3-0.090k=4-0.137k=5-0.3530+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 CLASSIFICATIONTRENDING · variance ratio > 1from Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 1.00very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=6.55)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#178
SLUGbrazil-178
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES7.44¢implied prob 7.44% · decimal odds 13.44×
COUNTER · NO92.56¢implied prob 92.56% · decimal odds 1.08×
7.44¢
92.56¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME132.75k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (93¢)|primary − counter| = 0.851 · entropy 0.382 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 7.4%No 92.6%YES7.4%H = 0.382 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes13.44×(7¢)No1.08×(93¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.382 bits (38% 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 Brazil 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 0.11% · worst -0.66% · typical |Δ| 0.06%BEARISH SESSION -0.89%BEST+0.11%05hWORST-0.66%00hTYPICAL |Δ|0.06%mean absoluteCUMULATIVE-0.89%Σ signed ΔSTREAK↘ 2down-runASIA · 00-08 UTCμ -0.08% · Σ -0.65%EUROPE · 08-16 UTCμ -0.01% · Σ -0.03%US · 16-24 UTCμ -0.03% · Σ -0.21%CUMULATIVE Δ PATH · final -0.89%+0.07%-0.91%0.00% · 10h0.00% · 10h·10h0.00% · 11h0.00% · 11h·11h0.02% · 12h0.02% · 12h0.02%12h-0.05% · 13h-0.05% · 13h-0.05%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·18h0.10% · 19h0.10% · 19h0.10%19h0.00% · 20h0.00% · 20h0.00%20h0.00% · 21h0.00% · 21h0.00%21h-0.03% · 22h-0.03% · 22h-0.03%22h-0.28% · 23h-0.28% · 23h-0.28%23h-0.66% · 00h-0.66% · 00h-0.66%00h▼ WORST0.00% · 01h0.00% · 01h·01h-0.01% · 02h-0.01% · 02h-0.01%02h0.00% · 03h0.00% · 03h·03h0.00% · 04h0.00% · 04h·04h0.11% · 05h0.11% · 05h0.11%05h★ BEST-0.03% · 06h-0.03% · 06h-0.03%06h-0.06% · 07h-0.06% · 07h-0.06%07hTIME PATTERNEurope-led (+-0.03%)RUNSup max 3 · down max 3BREADTH23% up · 32% down · 45% flat
5 up bars · 7 down · best 0.11% · worst -0.66% · typical |Δ| 0.062%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=23 barsLOSS · SHALLOW DD (-0.89%)FINAL-0.89%MAX DD-0.98%RECOVERYONGOING · 10 barsMAX RUN-UP+0.07%UNDERWATER16/23 (70%)STREAK↘ 2EQUITY CURVE · end 0.9911 · peak 1.0007 · range [0.9909, 1.0007]1.00070.9909break-even = 1★ PEAK 1.0007UNDERWATER DRAWDOWN · max -0.98% · shallow0%-0.98%▼ TROUGH -0.98%TOP DRAWDOWN PERIODS · 2 total#1 -0.98%bar 14-23 · 10 bars · ONGOING#2 -0.05%bar 5-10 · 6 bars · recoveredDD SEVERITYshallow (max -0.98%)RECOVERYongoing · 10 barsTIME UNDER WATER70% of session · 16/23 bars
final equity 0.9911 (-0.89%) · max DD -0.98% · time-under-water 16/23 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=18 · +7 / −10 (39% positive) · μ=-11.29 · σ=40.31MIXED EDGELAST 5.23 (+0.41σ vs μ)64.1632.080.00-32.08-64.16μ = -11.29-21.71-21.71-21.71-21.71-21.71-21.71-41.86-41.860.000.0041.8641.8642.9242.9244.5444.5429.6829.68-26.98-26.98-62.73-62.73-62.93-62.93-64.16-64.16-61.48-61.48-42.57-42.5737.5537.5522.9122.915.235.23v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 5.230 · range [-64.16, 44.54] · μ -11.286 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=18 · μ=10.6273 · σ=10.8174 · range [0.0000, 27.6175] · R²=0.259 RISING +133.51%σ EXTREME 101.79%LAST 6.030427.617520.713113.80876.90440.0000μ = 10.6273max 27.6175min 0.0000dataMA(3)OLS R²=0.26μ lineμ ± σ bandmaxmin
latest 6.03% · range [0.00%, 27.62%] · μ 10.63% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=18 · +3 / −14 (17% positive) · μ=-0.147 · σ=0.214MEAN-REVERSIONLAST -0.119 (+0.13σ vs μ)0.4900.2450.000-0.245-0.490μ = -0.147-0.446-0.446-0.446-0.446-0.490-0.490-0.050-0.0500.0000.000-0.050-0.050-0.284-0.284-0.305-0.305-0.182-0.1820.0630.0630.2940.294-0.095-0.095-0.090-0.0900.0660.066-0.055-0.055-0.022-0.022-0.430-0.430-0.119-0.119v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.119 · |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
195.5244
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
7.0250
p-VALUE (log scale)
0.2177
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
-0.4352
p-VALUE (log scale)
0.9007
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
-0.5205
p-VALUE (log scale)
0.6027
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (6 runs)
χ

KPSS (μ stationarity)

REJECT H₀*

H₀: p IS level-stationary

STATISTIC
0.6530
p-VALUE (log scale)
0.0178
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
1.7237
p-VALUE (log scale)
0.0848
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 1.367 ≈ 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=2.38e-6 · top T=11.00h (21.0%) · top-3 cover 51.5%1 SIGNIFICANT CYCLEcumulative energy ↗ (1 bin above 2× noise)5.5e-64.1e-62.7e-61.4e-60.0e+0μ noise floor2× noise (significance)period 22.0 · power 3.42e-6 · 13.1% energyperiod 22.0 · power 3.42e-6 · 13.1% energyperiod 11.0 · power 5.50e-6 · 21.0% energyperiod 11.0 · power 5.50e-6 · 21.0% energyperiod 7.3 · power 4.57e-6 · 17.4% energyperiod 7.3 · power 4.57e-6 · 17.4% energyperiod 5.5 · power 2.03e-6 · 7.8% energyperiod 5.5 · power 2.03e-6 · 7.8% energyperiod 4.4 · power 1.24e-6 · 4.7% energyperiod 4.4 · power 1.24e-6 · 4.7% energyperiod 3.7 · power 3.41e-6 · 13.0% energyperiod 3.7 · power 3.41e-6 · 13.0% energyperiod 3.1 · power 2.24e-6 · 8.5% energyperiod 3.1 · power 2.24e-6 · 8.5% energyperiod 2.8 · power 8.68e-7 · 3.3% energyperiod 2.8 · power 8.68e-7 · 3.3% energyperiod 2.4 · power 2.98e-7 · 1.1% energyperiod 2.4 · power 2.98e-7 · 1.1% energyperiod 2.2 · power 1.37e-6 · 5.2% energyperiod 2.2 · power 1.37e-6 · 5.2% energyperiod 2.0 · power 1.26e-6 · 4.8% energyperiod 2.0 · power 1.26e-6 · 4.8% energy50% by T=7.3h#1 dominantT=11.00h#2T=7.33h#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 21.0% of total energy · Σ|X̂|²/n = 2.621e-5

▸ 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 0.000pp · expected |Δp| over horizon 0.00ppterminal variance p(1−p) = 0.0689 · n = 5000n = 5000
μ per bar
-0.000pp
average Δp · drift
σ per bar
0.000pp
one-bar volatility · logit-free
Per-day movedaily
0.00pp
σ × √24
Per-horizon move7d
0.00pp
σ × √168
Terminal variancebinary
0.0689
p(1−p) at resolution
Current pricep
7.4¢
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 0.00pp · ES₉₅ 0.00pp · method parametric · drift-correcteddrift -0.000pp/bar · quantised: yes · median step 0.00pp · unique ratio 0.00n = 5000
VaR 95%
0.00pp
1.645·σ (parametric) of Δp
ES 95%
0.00pp
mean of the tail
Max drawdown
0.2pp
peak 7.4¢ → trough 7.4¢
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
7.4%
= price
Decimal oddsEU
13.442
total return per $1
AmericanUS
+1244
$100 wins $1244
FractionalUK
12.44 / 1
profit per $1 risked
Profit per $100stake
+$1244.18
clean dollar framing
-1000-5000+500+1000020406080100you · 7.4%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)
0.382 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.382 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
3.75 bit
self-information
Surprise · NO−log₂(1−p)
0.11 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 09:42:25 UTC
Snapshot age
2.2s
Page rendered
2026-06-14 09:42:27 UTC
History points
23 closes · 23 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
84e8b239465640bfe0d98efa145e807ade8846cd19476c6212b7b30f1a15cd49 · 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)
8.69%
σ per bar = 0.000038
Mean return (annualised)
-127.18%
μ per bar = -0.000000
Sharpe (rf=0)
-14.63
annualised; risk-free assumed zero
Max drawdown
0.19%
peak 0.07 → trough 0.07 over 2505 bars

/api/asset/hl-pred-brazil-178/risk · same metrics, JSON