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 1s old
24h sparkline · 60 pts
realized vol (ann.)
2.36%
max drawdown
0.47%
sharpe
ulcer index
0.06%
RMS drawdown
pain index
0.04%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
0.08%
cond. drawdown
gain/pain
0.69
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.69
upside/downside
roll spread
1.9 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-brazil-178/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH1.3s--:--:-- 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=25 · μ=0.0777 · σ=0.0044 · range [0.0739, 0.0837] · R²=0.705 FALLING -10.51%σ HIGH 5.64%LAST 0.07400.08370.08130.07880.07640.0739μ = 0.0777max 0.0837min 0.0739dataMA(5)OLS R²=0.70μ lineμ ± σ bandmaxminlive endpoint
25 bars · close 7.40¢ · 24h -10.51%
Probability split · live
Yes 7.4%No 92.6%NO92.6%92.57¢ · 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¢13.47× +0.00pp
No
92.6%92.6¢1.08× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=25 · Σ=143,594 · μ=5743.8 · σ=18711.6 · CV=3.26BURSTY · concentratedcumulative energy ↗ · 50% by h=9023,54447,08770,63194,174μ = 574494,17450%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
Σ 143594 · peak 94174
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
1.3s
Yes mid
7.426¢
No mid
92.574¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
25 bars
Δ24h close
7.40¢
Δ24h change
-10.51%

§1 · 24h time-series

Mid price · Yes (25 hourly observations)
n=25 · μ=0.0777 · σ=0.0044 · range [0.0739, 0.0837] · R²=0.705 FALLING -10.51%σ HIGH 5.64%LAST 0.07400.08370.08130.07880.07640.0739μ = 0.0777max 0.0837min 0.0739dataMA(5)OLS R²=0.70μ lineμ ± σ bandmaxmin
range [7.39¢, 8.37¢] · span 0.98pp · MA(5) latest 7.42¢
Candlestick · open / high / low / close per hour
n=25 · up 18 · down 7 (72% up) · range [0.0739, 0.0896] · σ=0.0044 · CV=0.06 · bodyµ=35%BEARISH -10.51%CLOSE 0.0740 vs OPEN 0.0827 (-10.51%)&#9660; CLOSE 0.07400.08960.08570.08180.07780.0739μ close = 0.0777O0.083 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%)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%)O0.074 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%)O0.074 H0.075 L0.074 C0.075 (+0.78%)O0.074 H0.075 L0.074 C0.075 (+0.78%)O0.075 H0.075 L0.074 C0.074 (-0.78%)O0.075 H0.075 L0.074 C0.074 (-0.78%)O0.075 H0.075 L0.074 C0.074 (-0.92%)O0.075 H0.075 L0.074 C0.074 (-0.92%)#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 7.40¢
Hourly traded contracts
n=25 · Σ=143,594 · μ=5743.8 · σ=18711.6 · CV=3.26BURSTY · concentratedcumulative energy &nearr; · 50% by h=9023,54447,08770,63194,174μ = 57440 · 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% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak23 · 0.0% peak23 · 0.0% peak1,741 · 1.8% peak1,741 · 1.8% peak10,241 · 10.9% peak10,241 · 10.9% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 143594 · peak 94174 · mean 5743.8

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

Histogram of Δp
n=24 · 12 bins · μ=-0.0003 · σ=0.0014 · skew=-3.21 (left-skewed) · kurt=9.99 (leptokurtic (fat tails))15118401-0.63ppbin -0.63pp · n=1 · 6.7% peakbin -0.63pp · n=1 · 6.7% peak-0.57pp-0.50pp-0.44pp-0.37pp1-0.31ppbin -0.31pp · n=1 · 6.7% peakbin -0.31pp · n=1 · 6.7% peak-0.24pp-0.18pp-0.12pp4-0.05ppbin -0.05pp · n=4 · 26.7% peakbin -0.05pp · n=4 · 26.7% peak150.01ppbin 0.01pp · n=15 · 100.0% peakbin 0.01pp · n=15 · 100.0% peak30.08ppbin 0.08pp · n=3 · 20.0% peakbin 0.08pp · n=3 · 20.0% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 5 · negative 8
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=-3.30 · kurt=11.03 · near 7 / mid 14 / far 3 · OLS slope=0.72 intercept=-0.00LEPTOKURTIC — FAT TAILSTHIN UPPER TAILLOWER TAIL NORMAL-3σ-3σ-2σ-2σ-1σ-1σ+0σ+0σ+1σ+1σ+2σ+2σ+3σ+3σΔ=-2.22σsample ↓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=25PLATYKURTIC · THIN TAILS (G₂=-1.84)
μ MEAN7.77¢95% CI: [7.59¢, 7.94¢]
σ STD DEV0.44ppσ² = 0.192 · CV = 5.64%
med MEDIAN7.47¢Q₁ 7.41¢ · Q₃ 8.27¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 7.39¢Q₁ 7.41¢med 7.47¢Q₃ 8.27¢max 8.37¢μ
SKEWNESS · G₁0.417approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.841platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.68
σ × 1.349 ↔ IQRdiverges from normalratio = 0.69
range ↔ σconcentrated (range < 4σ)range / σ = 2.24
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+0.302within white-noise band
ρ(2) AUTOCORR-0.030lag-2 not significant
H · HURST EXPONENT0.921strongly persistent
OLS TREND · t-STAT-7.409significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.921STRONGLY 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+0.302k=2-0.030k=3-0.074k=4-0.124k=5-0.3500+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 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|=7.41)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 · YES7.43¢implied prob 7.43% · decimal odds 13.47×
COUNTER · NO92.57¢implied prob 92.57% · decimal odds 1.08×
7.43¢
92.57¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME143.59k 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
Yes13.47×(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=24 bars · best 0.11% · worst -0.66% · typical |Δ| 0.06%BEARISH SESSION -0.87%BEST+0.11%05hWORST-0.66%00hTYPICAL |Δ|0.06%mean absoluteCUMULATIVE-0.87%Σ signed ΔSTREAK↘ 2down-runASIA · 00-08 UTCμ -0.08% · Σ -0.65%EUROPE · 08-16 UTCμ -0.00% · Σ -0.01%US · 16-24 UTCμ -0.03% · Σ -0.21%CUMULATIVE Δ PATH · final -0.87%+0.10%-0.88%0.00% · 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%07h0.00% · 08h0.00% · 08h·08h0.00% · 09h0.00% · 09h·09h0.00% · 10h0.00% · 10h·10h0.00% · 11h0.00% · 11h·11h0.06% · 12h0.06% · 12h0.06%12h-0.06% · 13h-0.06% · 13h-0.06%13h-0.01% · 14h-0.01% · 14h-0.01%14hTIME PATTERNEurope-led (+-0.01%)RUNSup max 3 · down max 3BREADTH21% up · 33% down · 46% flat
5 up bars · 8 down · best 0.11% · worst -0.66% · typical |Δ| 0.059%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS · SHALLOW DD (-0.87%)FINAL-0.87%MAX DD-0.98%RECOVERYONGOING · 17 barsMAX RUN-UP+0.10%UNDERWATER17/25 (68%)STREAK↘ 2EQUITY CURVE · end 0.9913 · peak 1.0010 · range [0.9913, 1.0010]1.00100.9913break-even = 1★ PEAK 1.0010UNDERWATER DRAWDOWN · max -0.98% · shallow0%-0.98%▼ TROUGH -0.98%TOP DRAWDOWN PERIODS · 1 total#1 -0.98%bar 9-25 · 17 bars · ONGOINGDD SEVERITYshallow (max -0.98%)RECOVERYongoing · 17 barsTIME UNDER WATER68% of session · 17/25 bars
final equity 0.9913 (-0.87%) · max DD -0.98% · time-under-water 17/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +8 / −10 (42% positive) · μ=-12.90 · σ=34.19MIXED EDGELAST -4.64 (+0.24σ vs μ)57.0928.550.00-28.55-57.09μ = -12.9039.1439.1440.5540.5527.3727.37-24.92-24.92-47.68-47.68-55.89-55.89-56.80-56.80-57.05-57.05-54.87-54.87-31.02-31.0221.2221.222.432.434.874.874.874.874.874.87-57.09-57.09-0.42-0.420.000.00-4.64-4.64v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -4.643 · range [-57.09, 40.55] · μ -12.899 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=11.3750 · σ=10.1270 · range [2.3527, 26.5476] · R²=0.131 FALLING -7.27%σ EXTREME 89.03%LAST 3.458926.547620.498914.45028.40142.3527μ = 11.3750max 26.5476min 2.3527dataMA(3)OLS R²=0.13μ lineμ ± σ bandmaxmin
latest 3.46% · range [2.35%, 26.55%] · μ 11.38% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +7 / −12 (37% positive) · μ=-0.073 · σ=0.215CLOSE TO MARTINGALELAST -0.400 (-1.52σ vs μ)0.5000.2500.000-0.250-0.500μ = -0.073-0.216-0.216-0.231-0.231-0.143-0.1430.1110.1110.3210.3210.0330.0330.0260.0260.0330.0330.1480.148-0.024-0.024-0.392-0.392-0.108-0.108-0.105-0.105-0.105-0.105-0.085-0.0850.2560.256-0.000-0.000-0.500-0.500-0.400-0.400v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.400 · |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
246.4288
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
7.1650
p-VALUE (log scale)
0.2075
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
-1.0143
p-VALUE (log scale)
0.7466
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
-0.7097
p-VALUE (log scale)
0.4779
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
0.7302
p-VALUE (log scale)
0.0108
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
1.6722
p-VALUE (log scale)
0.0945
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 1.509 ≈ 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=2.21e-6 · top T=8.00h (19.8%) · top-3 cover 50.8%1 SIGNIFICANT CYCLEcumulative energy ↗ (1 bin above 2× noise)5.2e-63.9e-62.6e-61.3e-60.0e+0μ noise floor2× noise (significance)period 24.0 · power 3.26e-6 · 12.3% energyperiod 24.0 · power 3.26e-6 · 12.3% energyperiod 12.0 · power 4.41e-6 · 16.6% energyperiod 12.0 · power 4.41e-6 · 16.6% energyperiod 8.0 · power 5.24e-6 · 19.8% energyperiod 8.0 · power 5.24e-6 · 19.8% energyperiod 6.0 · power 2.20e-6 · 8.3% energyperiod 6.0 · power 2.20e-6 · 8.3% energyperiod 4.8 · power 1.42e-6 · 5.3% energyperiod 4.8 · power 1.42e-6 · 5.3% energyperiod 4.0 · power 1.50e-6 · 5.7% energyperiod 4.0 · power 1.50e-6 · 5.7% energyperiod 3.4 · power 3.81e-6 · 14.4% energyperiod 3.4 · power 3.81e-6 · 14.4% energyperiod 3.0 · power 1.18e-6 · 4.4% energyperiod 3.0 · power 1.18e-6 · 4.4% energyperiod 2.7 · power 7.63e-7 · 2.9% energyperiod 2.7 · power 7.63e-7 · 2.9% energyperiod 2.4 · power 2.06e-7 · 0.8% energyperiod 2.4 · power 2.06e-7 · 0.8% energyperiod 2.2 · power 1.50e-6 · 5.7% energyperiod 2.2 · power 1.50e-6 · 5.7% energyperiod 2.0 · power 1.02e-6 · 3.9% energyperiod 2.0 · power 1.02e-6 · 3.9% energy50% by T=6.0h#1 dominantT=8.00h#2T=12.00h#3T=3.43hT=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 ≈ 8.00h (freq 0.125) · concentrates 19.8% of total energy · Σ|X̂|²/n = 2.649e-5

▸ 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 0.001pp · expected |Δp| over horizon 0.01ppterminal variance p(1−p) = 0.0687 · n = 5000n = 5000
μ per bar
-0.000pp
average Δp · drift
σ per bar
0.001pp
one-bar volatility · logit-free
Per-day movedaily
0.00pp
σ × √24
Per-horizon move7d
0.01pp
σ × √168
Terminal variancebinary
0.0687
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
0.5pp
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
13.466
total return per $1
AmericanUS
+1247
$100 wins $1247
FractionalUK
12.47 / 1
profit per $1 risked
Profit per $100stake
+$1246.62
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 14:50:26 UTC
Snapshot age
1.3s
Page rendered
2026-06-14 14:50:28 UTC
History points
25 closes · 25 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
21001a210770bface4254bb82e011c195a6383691608a19d1157da10d58afb86 · 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)
20.50%
σ per bar = 0.000089
Mean return (annualised)
-120.32%
μ per bar = -0.000000
Sharpe (rf=0)
-5.87
annualised; risk-free assumed zero
Max drawdown
0.47%
peak 0.07 → trough 0.07 over 3336 bars

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