HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #438

Germany

Primary · Yes
64.8¢
Counter · No
35.2¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-germany-438 · fresh · feed 1s old
24h sparkline · 60 pts
realized vol (ann.)
68.08%
max drawdown
0.67%
sharpe
ulcer index
0.33%
RMS drawdown
pain index
0.26%
mean drawdown
mod. VaR 95%
0.03%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
0.67%
cond. drawdown
gain/pain
0.98
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.98
upside/downside
roll spread
4.1 bps
implied (price-only)
bars used
632
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/hl-pred-germany-438/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH1.4s--:--:-- 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
64.8¢
No mid · live
35.2¢
Yes · live 24h price
n=25 · μ=0.6433 · σ=0.0038 · range [0.6322, 0.6490] · R²=0.187 RISING +0.50%σ LOW 0.59%LAST 0.64880.64900.64480.64060.63640.6322μ = 0.6433max 0.6490min 0.6322dataMA(5)OLS R²=0.19μ lineμ ± σ bandmaxminlive endpoint
25 bars · close 64.88¢ · 24h +0.50%
Probability split · live
Yes 64.8%No 35.2%YES64.8%64.78¢ · odds 1/1.54
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.936 / 1.00 bits (94%) · high uncertainty
Yes
64.8%64.8¢1.54× +0.00pp
No
35.2%35.2¢2.84× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=25 · Σ=43,585 · μ=1743.4 · σ=3340.2 · CV=1.92BURSTY · concentratedcumulative energy ↗ · 50% by h=203,1326,2649,39612,528μ = 174312,52850%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
Σ 43585 · peak 12528
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
1.4s
Yes mid
64.776¢
No mid
35.224¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
25 bars
Δ24h close
64.88¢
Δ24h change
+0.50%

§1 · 24h time-series

Mid price · Yes (25 hourly observations)
n=25 · μ=0.6433 · σ=0.0038 · range [0.6322, 0.6490] · R²=0.187 RISING +0.50%σ LOW 0.59%LAST 0.64880.64900.64480.64060.63640.6322μ = 0.6433max 0.6490min 0.6322dataMA(5)OLS R²=0.19μ lineμ ± σ bandmaxmin
range [63.22¢, 64.90¢] · span 1.68pp · MA(5) latest 64.63¢
Candlestick · open / high / low / close per hour
n=25 · up 13 · down 12 (52% up) · range [0.6322, 0.6490] · σ=0.0038 · CV=0.01 · bodyµ=72%BULLISH +1.79%CLOSE 0.6488 vs OPEN 0.6374 (+1.79%)&#9650; CLOSE 0.64880.64900.64480.64060.63640.6322μ close = 0.6433O0.637 H0.646 L0.637 C0.646 (+1.28%)O0.637 H0.646 L0.637 C0.646 (+1.28%)O0.637 H0.646 L0.636 C0.646 (+1.28%)O0.637 H0.646 L0.636 C0.646 (+1.28%)O0.645 H0.645 L0.645 C0.645 (+0.00%)O0.645 H0.645 L0.645 C0.645 (+0.00%)O0.645 H0.645 L0.641 C0.641 (-0.54%)O0.645 H0.645 L0.641 C0.641 (-0.54%)O0.641 H0.641 L0.640 C0.640 (-0.09%)O0.641 H0.641 L0.640 C0.640 (-0.09%)O0.641 H0.641 L0.641 C0.641 (+0.00%)O0.641 H0.641 L0.641 C0.641 (+0.00%)O0.641 H0.641 L0.640 C0.640 (-0.18%)O0.641 H0.641 L0.640 C0.640 (-0.18%)O0.642 H0.642 L0.632 C0.642 (+0.04%)O0.642 H0.642 L0.632 C0.642 (+0.04%)O0.643 H0.643 L0.642 C0.642 (-0.04%)O0.643 H0.643 L0.642 C0.642 (-0.04%)-1.6%O0.642 H0.642 L0.632 C0.632 (-1.56%)O0.642 H0.642 L0.632 C0.632 (-1.56%)O0.642 H0.642 L0.642 C0.642 (-0.02%)O0.642 H0.642 L0.642 C0.642 (-0.02%)O0.642 H0.642 L0.642 C0.642 (+0.00%)O0.642 H0.642 L0.642 C0.642 (+0.00%)O0.641 H0.641 L0.641 C0.641 (-0.10%)O0.641 H0.641 L0.641 C0.641 (-0.10%)O0.641 H0.641 L0.640 C0.640 (-0.16%)O0.641 H0.641 L0.640 C0.640 (-0.16%)O0.638 H0.644 L0.638 C0.644 (+0.96%)O0.638 H0.644 L0.638 C0.644 (+0.96%)O0.641 H0.646 L0.641 C0.646 (+0.74%)O0.641 H0.646 L0.641 C0.646 (+0.74%)O0.638 H0.646 L0.638 C0.646 (+1.19%)O0.638 H0.646 L0.638 C0.646 (+1.19%)O0.644 H0.646 L0.642 C0.646 (+0.42%)O0.644 H0.646 L0.642 C0.646 (+0.42%)O0.646 H0.646 L0.645 C0.645 (-0.13%)O0.646 H0.646 L0.645 C0.645 (-0.13%)O0.646 H0.646 L0.646 C0.646 (-0.00%)O0.646 H0.646 L0.646 C0.646 (-0.00%)O0.646 H0.646 L0.636 C0.639 (-1.11%)O0.646 H0.646 L0.636 C0.639 (-1.11%)O0.646 H0.647 L0.646 C0.647 (+0.15%)O0.646 H0.647 L0.646 C0.647 (+0.15%)O0.647 H0.649 L0.646 C0.649 (+0.30%)O0.647 H0.649 L0.646 C0.649 (+0.30%)O0.649 H0.649 L0.643 C0.648 (-0.16%)O0.649 H0.649 L0.643 C0.648 (-0.16%)O0.645 H0.649 L0.643 C0.649 (+0.58%)O0.645 H0.649 L0.643 C0.649 (+0.58%)#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 64.88¢
Hourly traded contracts
n=25 · Σ=43,585 · μ=1743.4 · σ=3340.2 · CV=1.92BURSTY · concentratedcumulative energy &nearr; · 50% by h=203,1326,2649,39612,528μ = 174312,455 · 99.4% peak12,455 · 99.4% peak12,52812,528 · 100.0% peak12,528 · 100.0% peak327 · 2.6% peak327 · 2.6% peak101 · 0.8% peak101 · 0.8% peak1,124 · 9.0% peak1,124 · 9.0% peak31 · 0.2% peak31 · 0.2% peak221 · 1.8% peak221 · 1.8% peak472 · 3.8% peak472 · 3.8% peak1,116 · 8.9% peak1,116 · 8.9% peak19 · 0.2% peak19 · 0.2% peak138 · 1.1% peak138 · 1.1% peak16 · 0.1% peak16 · 0.1% peak97 · 0.8% peak97 · 0.8% peak1,996 · 15.9% peak1,996 · 15.9% peak141 · 1.1% peak141 · 1.1% peak205 · 1.6% peak205 · 1.6% peak126 · 1.0% peak126 · 1.0% peak884 · 7.1% peak884 · 7.1% peak910 · 7.3% peak910 · 7.3% peak327 · 2.6% peak327 · 2.6% peak2,892 · 23.1% peak2,892 · 23.1% peak2,172 · 17.3% peak2,172 · 17.3% peak2,228 · 17.8% peak2,228 · 17.8% peak1,879 · 15.0% peak1,879 · 15.0% peak1,180 · 9.4% peak1,180 · 9.4% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 43585 · peak 12528 · mean 1743.4

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

Histogram of Δp
n=24 · 12 bins · μ=0.0001 · σ=0.0038 · skew=-0.05 (symmetric) · kurt=1.64 (leptokurtic (fat tails))864201-0.93ppbin -0.93pp · n=1 · 12.5% peakbin -0.93pp · n=1 · 12.5% peak1-0.77ppbin -0.77pp · n=1 · 12.5% peakbin -0.77pp · n=1 · 12.5% peak-0.60pp-0.44pp1-0.28ppbin -0.28pp · n=1 · 12.5% peakbin -0.28pp · n=1 · 12.5% peak7-0.12ppbin -0.12pp · n=7 · 87.5% peakbin -0.12pp · n=7 · 87.5% peak80.05ppbin 0.05pp · n=8 · 100.0% peakbin 0.05pp · n=8 · 100.0% peak30.21ppbin 0.21pp · n=3 · 37.5% peakbin 0.21pp · n=3 · 37.5% peak10.37ppbin 0.37pp · n=1 · 12.5% peakbin 0.37pp · n=1 · 12.5% peak0.53pp0.70pp20.86ppbin 0.86pp · n=2 · 25.0% peakbin 0.86pp · n=2 · 25.0% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 12 · negative 11
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=-0.04 · kurt=1.77 · near 10 / mid 14 / far 0 · OLS slope=0.96 intercept=-0.00APPROXIMATELY NORMALUPPER 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=25LEFT-SKEWED (G₁=-0.77)
μ MEAN64.33¢95% CI: [64.19¢, 64.48¢]
σ STD DEV0.38ppσ² = 0.144 · CV = 0.59%
med MEDIAN64.41¢Q₁ 64.12¢ · Q₃ 64.58¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 63.22¢Q₁ 64.12¢med 64.41¢Q₃ 64.58¢max 64.90¢μ
SKEWNESS · G₁-0.770left-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂0.698mesokurtic · normal-like
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.20
σ × 1.349 ↔ IQRconsistent with normalratio = 1.11
range ↔ σwide tails (range > 4σ)range / σ = 4.42
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) -0.39 + ADF rejected
ρ(1) AUTOCORR-0.390within white-noise band
ρ(2) AUTOCORR-0.127lag-2 not significant
H · HURST EXPONENT0.751strongly persistent
OLS TREND · t-STAT+2.303significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.751STRONGLY 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=1-0.390k=2-0.127k=3+0.105k=4+0.050k=5-0.0670+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) -0.39 + ADF rejectedfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.89very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 5% (|t|=2.30)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#438
SLUGgermany-438
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES64.78¢implied prob 64.78% · decimal odds 1.54×
COUNTER · NO35.22¢implied prob 35.22% · decimal odds 2.84×
64.78¢
35.22¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME43.59k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS YES (65¢)|primary − counter| = 0.296 · entropy 0.936 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 64.8%No 35.2%YES64.8%H = 0.936 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes1.54×(65¢)No2.84×(35¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.936 bits (94% of max) · high 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 Germany wins the Game.

§10 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 0.94% · worst -1.01% · typical |Δ| 0.25%MILD BULLISH +0.32%BEST+0.94%17hWORST-1.01%16hTYPICAL |Δ|0.25%mean absoluteCUMULATIVE+0.32%Σ signed ΔSTREAK↗ 1up-runASIA · 00-08 UTCμ +0.04% · Σ +0.32%EUROPE · 08-16 UTCμ -0.04% · Σ -0.32%US · 16-24 UTCμ +0.04% · Σ +0.33%CUMULATIVE Δ PATH · final +0.32%+0.34%-1.33%0.00% · 08h0.00% · 08h·08h-0.08% · 09h-0.08% · 09h-0.08%09h-0.34% · 10h-0.34% · 10h-0.34%10h-0.10% · 11h-0.10% · 11h-0.10%11h0.09% · 12h0.09% · 12h0.09%12h-0.13% · 13h-0.13% · 13h-0.13%13h0.22% · 14h0.22% · 14h0.22%14h0.02% · 15h0.02% · 15h0.02%15h-1.01% · 16h-1.01% · 16h-1.01%16h▼ WORST0.94% · 17h0.94% · 17h0.94%17h★ BEST0.00% · 18h0.00% · 18h0.00%18h-0.10% · 19h-0.10% · 19h-0.10%19h-0.09% · 20h-0.09% · 20h-0.09%20h0.44% · 21h0.44% · 21h0.44%21h0.18% · 22h0.18% · 22h0.18%22h-0.03% · 23h-0.03% · 23h-0.03%23h0.08% · 00h0.08% · 00h0.08%00h-0.10% · 01h-0.10% · 01h-0.10%01h0.04% · 02h0.04% · 02h0.04%02h-0.72% · 03h-0.72% · 03h-0.72%03h0.84% · 04h0.84% · 04h0.84%04h0.19% · 05h0.19% · 05h0.19%05h-0.10% · 06h-0.10% · 06h-0.10%06h0.08% · 07h0.08% · 07h0.08%07hTIME PATTERNUS-led (+0.33%)RUNSup max 2 · down max 3BREADTH50% up · 46% down · 4% flat
12 up bars · 11 down · best 0.94% · worst -1.01% · typical |Δ| 0.248%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +0.31%FINAL+0.31%MAX DD-1.33%RECOVERYONGOING · 13 barsMAX RUN-UP+0.33%UNDERWATER19/25 (76%)STREAK↗ 1EQUITY CURVE · end 1.0031 · peak 1.0033 · range [0.9867, 1.0033]1.00330.9867break-even = 1★ PEAK 1.0033UNDERWATER DRAWDOWN · max -1.33% · moderate0%-1.33%▼ TROUGH -1.33%TOP DRAWDOWN PERIODS · 4 total#1 -1.33%bar 3-15 · 13 bars · recovered#2 -0.78%bar 19-21 · 3 bars · recovered#3 -0.10%bar 24-25 · 2 bars · ONGOINGDD SEVERITYmoderate (max -1.33%)RECOVERYongoing · 23 barsTIME UNDER WATER76% of session · 19/25 bars
final equity 1.0031 (0.31%) · max DD -1.33% · time-under-water 19/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +13 / −6 (68% positive) · μ=3.78 · σ=29.31PROFITABLE STRATEGYLAST 10.48 (+0.23σ vs μ)61.3130.660.00-30.66-61.31μ = 3.78-61.31-61.31-27.55-27.55-19.17-19.17-32.31-32.313.323.321.221.221.971.97-5.95-5.954.254.2552.6452.6429.8229.8236.0836.0836.4136.4149.7649.76-26.73-26.733.693.6910.4810.484.774.7710.4810.48v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 10.483 · range [-61.31, 52.64] · μ 3.783 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=37.7931 · σ=17.4108 · range [13.5492, 60.7918] · R²=0.016 RISING +247.42%σ EXTREME 46.07%LAST 47.072760.791848.981237.170525.359813.5492μ = 37.7931max 60.7918min 13.5492dataMA(3)OLS R²=0.02μ lineμ ± σ bandmaxmin
latest 47.07% · range [13.55%, 60.79%] · μ 37.79% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +2 / −17 (11% positive) · μ=-0.242 · σ=0.229MEAN-REVERSIONLAST -0.405 (-0.71σ vs μ)0.5090.2540.000-0.254-0.509μ = -0.242-0.085-0.085-0.107-0.107-0.047-0.047-0.064-0.064-0.501-0.501-0.505-0.505-0.491-0.491-0.506-0.506-0.474-0.474-0.070-0.0700.0460.046-0.025-0.025-0.177-0.1770.1940.194-0.106-0.106-0.509-0.509-0.385-0.385-0.391-0.391-0.405-0.405v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.405 · |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

REJECT H₀*

H₀: Δp ~ Normal(μ, σ²)

STATISTIC
6.2727
p-VALUE (log scale)
0.0434
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
5.1439
p-VALUE (log scale)
0.3990
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
-2.7184
p-VALUE (log scale)
0.0744
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
1.5062
p-VALUE (log scale)
0.1320
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (16 runs)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.4156
p-VALUE (log scale)
0.0704
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedstationary not rejected (crit 0.463)
χ

Variance ratio q=3

FAIL TO REJECTns

H₀: Δp is a random walk · VR = 1

STATISTIC
-1.8705
p-VALUE (log scale)
0.0614
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.431 ≈ 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=1.53e-5 · top T=3.43h (22.2%) · top-3 cover 59.4%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)4.1e-53.0e-52.0e-51.0e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 3.32e-6 · 1.8% energyperiod 24.0 · power 3.32e-6 · 1.8% energyperiod 12.0 · power 3.12e-6 · 1.7% energyperiod 12.0 · power 3.12e-6 · 1.7% energyperiod 8.0 · power 8.42e-6 · 4.6% energyperiod 8.0 · power 8.42e-6 · 4.6% energyperiod 6.0 · power 4.91e-6 · 2.7% energyperiod 6.0 · power 4.91e-6 · 2.7% energyperiod 4.8 · power 8.73e-6 · 4.8% energyperiod 4.8 · power 8.73e-6 · 4.8% energyperiod 4.0 · power 1.85e-5 · 10.1% energyperiod 4.0 · power 1.85e-5 · 10.1% energyperiod 3.4 · power 4.07e-5 · 22.2% energyperiod 3.4 · power 4.07e-5 · 22.2% energyperiod 3.0 · power 1.10e-5 · 6.0% energyperiod 3.0 · power 1.10e-5 · 6.0% energyperiod 2.7 · power 2.97e-5 · 16.2% energyperiod 2.7 · power 2.97e-5 · 16.2% energyperiod 2.4 · power 1.53e-5 · 8.3% energyperiod 2.4 · power 1.53e-5 · 8.3% energyperiod 2.2 · power 3.85e-5 · 21.0% energyperiod 2.2 · power 3.85e-5 · 21.0% energyperiod 2.0 · power 1.01e-6 · 0.6% energyperiod 2.0 · power 1.01e-6 · 0.6% energy50% by T=3.0h#1 dominantT=3.43h#2T=2.18h#3T=2.67hT=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 ≈ 3.43h (freq 0.292) · concentrates 22.2% of total energy · Σ|X̂|²/n = 1.831e-4

▸ Depth section using sovereign-store price series (2320 bars · effective 5250849 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 0.803pp · expected |Δp| over horizon 10.41ppterminal variance p(1−p) = 0.2282 · n = 2320n = 2320
μ per bar
+0.006pp
average Δp · drift
σ per bar
0.803pp
one-bar volatility · logit-free
Per-day movedaily
3.93pp
σ × √24
Per-horizon move7d
10.41pp
σ × √168
Terminal variancebinary
0.2282
p(1−p) at resolution
Current pricep
64.8¢
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 1.31pp · ES₉₅ 1.65pp · method parametric · drift-correcteddrift +0.006pp/bar · quantised: yes · median step 0.00pp · unique ratio 0.02n = 2320
VaR 95%
1.31pp
1.645·σ (parametric) of Δp
ES 95%
1.65pp
mean of the tail
Max drawdown
49.9pp
peak 50.0¢ → trough 25.1¢
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
64.8%
= price
Decimal oddsEU
1.544
total return per $1
AmericanUS
-184
risk $184 to win $100
FractionalUK
0.54 / 1
profit per $1 risked
Profit per $100stake
+$54.38
clean dollar framing
-1000-5000+500+1000020406080100you · 64.8%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)
0.936 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.936 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
0.63 bit
self-information
Surprise · NO−log₂(1−p)
1.51 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 07:59:01 UTC
Snapshot age
1.4s
Page rendered
2026-06-20 07:59:03 UTC
History points
25 closes · 25 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
4c08410309ef7233d9cf6316d0e9e1029c6364bd15fd0308c132e2bb20deadbb · 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 · 2,320 barsperiods/year ≈ 5.25M
Realized vol (annualised)
4239.68%
σ per bar = 0.018502
Mean return (annualised)
58624.78%
μ per bar = 0.000112
Sharpe (rf=0)
13.83
annualised; risk-free assumed zero
Max drawdown
49.90%
peak 0.50 → trough 0.25 over 1 bars

/api/asset/hl-pred-germany-438/risk · same metrics, JSON