HYPERLIQUID · PERPETUAL FUTURES

EIGEN

EIGEN-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-eigen · fresh · feed 3s old
24h sparkline · 60 pts 3.86%
realized vol (ann.)
84.22%
max drawdown
2.09%
sharpe
-35.26
ulcer index
1.34%
RMS drawdown
pain index
1.24%
mean drawdown
mod. VaR 95%
0.05%
Cornish-Fisher
martin ratio
-2210.54
ret / ulcer
CDaR 95%
1.92%
cond. drawdown
gain/pain
0.94
Σgain / Σ|loss|
sterling
-1547.53
ret / CDaR
omega (θ=0)
0.94
upside/downside
roll spread
1.3 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
3.86%
flow lean
carry
longs_pay
10.95%
signalNEUTRALconfidence 33%
  • 24h change +3.86%
  • funding: longs pay — perp shorts get paid to wait
  • mark cheap vs HL oracle by 10.3bps — long bias
Same bundle via M2M API: /api/m2m/hl-eigen/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH3.1s--:--:-- 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·
MARK · live
$0.194
24h Δ · live
3.86%
24h vol · live
$1.5M
EIGEN · live 24h price
n=25 · μ=0.1924 · σ=0.0058 · range [0.1847, 0.2038] · R²=0.480 RISING +4.93%σ NORMAL 2.99%LAST 0.19380.20380.19900.19430.18950.1847μ = 0.1924max 0.2038min 0.1847dataMA(5)OLS R²=0.48μ lineμ ± σ bandmaxminlive endpoint
25 closes · last $0.19
Funding direction · live
Long fee 48.1%Short fee 51.9%SHORT FEE51.9%
Σ = 0.0%
Σ-sides total = 0.00% (100.00pp arb gap)
H(p) entropy = 0.999 / 1.00 bits (100%) · max uncertainty (~50/50)
Long fee
48.1% +0.00pp
Short fee
51.9% +0.00pp
1h funding 0.001250% · longs pay
Hourly contract volume · live
n=25 · Σ=7,581,407 · μ=303256.3 · σ=250162.1 · CV=0.82BURSTYcumulative energy ↗ · 50% by h=140212,439424,877637,316849,754μ = 303256849,754.3850%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 849754 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
snapshot age
3.1s
$mark $
$0.1936
$mid $
$0.1936
prev-day close
$0.1864
Δ24h Δ %
+3.863%
$24h vol $
$1.46M
open interest $
$3.03M
%funding (1h)
0.001250%
%funding (yr)
+10.95%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=0.1924 · σ=0.0058 · range [0.1847, 0.2038] · R²=0.480 RISING +4.93%σ NORMAL 2.99%LAST 0.19380.20380.19900.19430.18950.1847μ = 0.1924max 0.2038min 0.1847dataMA(5)OLS R²=0.48μ lineμ ± σ bandmaxmin
mark $0.1936 · 24h 3.86% · range $[0.1847, 0.2038]
OHLC candles · hourly
n=25 · up 13 · down 12 (52% up) · range [0.1833, 0.2072] · σ=0.0058 · CV=0.03 · bodyµ=40%BULLISH +4.25%CLOSE 0.1938 vs OPEN 0.1859 (+4.25%)&#9650; CLOSE 0.19380.20720.20120.19520.18930.1833μ close = 0.1924O0.186 H0.187 L0.184 C0.185 (-0.65%)O0.186 H0.187 L0.184 C0.185 (-0.65%)O0.185 H0.187 L0.185 C0.187 (+0.86%)O0.185 H0.187 L0.185 C0.187 (+0.86%)O0.186 H0.189 L0.186 C0.188 (+0.75%)O0.186 H0.189 L0.186 C0.188 (+0.75%)O0.187 H0.188 L0.183 C0.188 (+0.43%)O0.187 H0.188 L0.183 C0.188 (+0.43%)O0.188 H0.189 L0.185 C0.186 (-1.17%)O0.188 H0.189 L0.185 C0.186 (-1.17%)O0.186 H0.188 L0.185 C0.186 (+0.22%)O0.186 H0.188 L0.185 C0.186 (+0.22%)O0.186 H0.187 L0.185 C0.185 (-0.16%)O0.186 H0.187 L0.185 C0.185 (-0.16%)O0.185 H0.186 L0.184 C0.186 (+0.16%)O0.185 H0.186 L0.184 C0.186 (+0.16%)O0.186 H0.189 L0.185 C0.187 (+0.65%)O0.186 H0.189 L0.185 C0.187 (+0.65%)O0.187 H0.187 L0.185 C0.185 (-1.07%)O0.187 H0.187 L0.185 C0.185 (-1.07%)3.5%O0.185 H0.193 L0.185 C0.192 (+3.51%)O0.185 H0.193 L0.185 C0.192 (+3.51%)O0.192 H0.195 L0.190 C0.195 (+1.51%)O0.192 H0.195 L0.190 C0.195 (+1.51%)O0.195 H0.202 L0.195 C0.200 (+2.77%)O0.195 H0.202 L0.195 C0.200 (+2.77%)O0.200 H0.205 L0.199 C0.200 (-0.30%)O0.200 H0.205 L0.199 C0.200 (-0.30%)O0.200 H0.207 L0.198 C0.204 (+2.16%)O0.200 H0.207 L0.198 C0.204 (+2.16%)O0.204 H0.205 L0.196 C0.198 (-2.94%)O0.204 H0.205 L0.196 C0.198 (-2.94%)O0.197 H0.203 L0.196 C0.198 (+0.51%)O0.197 H0.203 L0.196 C0.198 (+0.51%)O0.198 H0.201 L0.197 C0.198 (-0.30%)O0.198 H0.201 L0.197 C0.198 (-0.30%)O0.198 H0.199 L0.196 C0.197 (-0.46%)O0.198 H0.199 L0.196 C0.197 (-0.46%)O0.196 H0.198 L0.196 C0.197 (+0.10%)O0.196 H0.198 L0.196 C0.197 (+0.10%)O0.197 H0.197 L0.194 C0.197 (-0.05%)O0.197 H0.197 L0.194 C0.197 (-0.05%)O0.197 H0.197 L0.194 C0.194 (-1.12%)O0.197 H0.197 L0.194 C0.194 (-1.12%)O0.194 H0.195 L0.194 C0.194 (-0.21%)O0.194 H0.195 L0.194 C0.194 (-0.21%)O0.194 H0.194 L0.193 C0.194 (-0.21%)O0.194 H0.194 L0.193 C0.194 (-0.21%)O0.193 H0.194 L0.193 C0.194 (+0.21%)O0.193 H0.194 L0.193 C0.194 (+0.21%)#1#5#9#13#17#21#25up bar (C≥O)down bar (C<O)MA(5) closeμ closedoji (~no body)biggest body
25 bars
Hourly volume (base units)
n=25 · Σ=7,581,407 · μ=303256.3 · σ=250162.1 · CV=0.82BURSTYcumulative energy &nearr; · 50% by h=140212,439424,877637,316849,754μ = 30325647,146.26 · 5.5% peak47,146.26 · 5.5% peak291,814.06 · 34.3% peak291,814.06 · 34.3% peak530,796.15 · 62.5% peak530,796.15 · 62.5% peak238,931.32 · 28.1% peak238,931.32 · 28.1% peak161,317.31 · 19.0% peak161,317.31 · 19.0% peak42,365.65 · 5.0% peak42,365.65 · 5.0% peak97,917.39 · 11.5% peak97,917.39 · 11.5% peak53,983.03 · 6.4% peak53,983.03 · 6.4% peak44,167.96 · 5.2% peak44,167.96 · 5.2% peak687,701.95 · 80.9% peak687,701.95 · 80.9% peak849,754.38849,754.38 · 100.0% peak849,754.38 · 100.0% peak346,348.74 · 40.8% peak346,348.74 · 40.8% peak354,729.51 · 41.7% peak354,729.51 · 41.7% peak314,149.86 · 37.0% peak314,149.86 · 37.0% peak557,967.05 · 65.7% peak557,967.05 · 65.7% peak433,895.46 · 51.1% peak433,895.46 · 51.1% peak559,105.63 · 65.8% peak559,105.63 · 65.8% peak105,268.37 · 12.4% peak105,268.37 · 12.4% peak670,651.62 · 78.9% peak670,651.62 · 78.9% peak89,221.79 · 10.5% peak89,221.79 · 10.5% peak105,924.66 · 12.5% peak105,924.66 · 12.5% peak96,495 · 11.4% peak96,495 · 11.4% peak671,832.39 · 79.1% peak671,832.39 · 79.1% peak197,865.49 · 23.3% peak197,865.49 · 23.3% peak32,055.7 · 3.8% peak32,055.7 · 3.8% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 7581407 · peak 849754 · CV 0.82

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=0.0019 · σ=0.0125 · skew=0.50 (symmetric) · kurt=0.87 (mesokurtic)118630 1-271.77bpbin -271.77bp · n=1 · 9.1% peakbin -271.77bp · n=1 · 9.1% peak-217.66bp-163.54bp 3-109.43bpbin -109.43bp · n=3 · 27.3% peakbin -109.43bp · n=3 · 27.3% peak 2-55.31bpbin -55.31bp · n=2 · 18.2% peakbin -55.31bp · n=2 · 18.2% peak 11-1.20bpbin -1.20bp · n=11 · 100.0% peakbin -1.20bp · n=11 · 100.0% peak 252.91bpbin 52.91bp · n=2 · 18.2% peakbin 52.91bp · n=2 · 18.2% peak 1107.03bpbin 107.03bp · n=1 · 9.1% peakbin 107.03bp · n=1 · 9.1% peak 1161.14bpbin 161.14bp · n=1 · 9.1% peakbin 161.14bp · n=1 · 9.1% peak 1215.26bpbin 215.26bp · n=1 · 9.1% peakbin 215.26bp · n=1 · 9.1% peak 1269.37bpbin 269.37bp · n=1 · 9.1% peakbin 269.37bp · n=1 · 9.1% peak 1323.48bpbin 323.48bp · n=1 · 9.1% peakbin 323.48bp · n=1 · 9.1% 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 rₜ vs N(0,1)
n=24 · skew=0.43 · kurt=1.14 · near 15 / mid 9 / far 0 · OLS slope=0.98 intercept=-0.00APPROXIMATELY NORMALMILDLY HEAVY UPPERLOWER 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

§3 · Spot quote

Mark price
$0.1936
Mid price
$0.1936
24h change
+3.86%
Mark–mid spread
0.00 bps
Prev-day close
$0.1864

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25PLATYKURTIC · THIN TAILS (G₂=-1.39)
μ MEAN0.1924$95% CI: [0.1902$, 0.1947$]
σ STD DEV0.0058$σ² = 0.332×10⁻⁴ · CV = 2.99%
med MEDIAN0.1938$Q₁ 0.1866$ · Q₃ 0.1966$
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.1847$Q₁ 0.1866$med 0.1938$Q₃ 0.1966$max 0.2038$μ
SKEWNESS · G₁0.086approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.393platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.24
σ × 1.349 ↔ IQRdiverges from normalratio = 0.78
range ↔ σconcentrated (range < 4σ)range / σ = 3.32
μ = mean · σ = standard deviation · CV = coefficient of variation. Skew (G₁): >0 right-skewed. Kurt (G₂, excess): >0 leptokurtic. 95% CI = μ ± 1.96·SE.

§5 · Returns analytics (log-returns)

Risk-adjusted performance · log-returns
RETURNS · RISK-ADJUSTEDEXCEPTIONAL EDGE · SR=13.95
μᵣ MEAN / h+0.200391%drift is positive per h · |μ|/σ = 0.149
σᵣ STD / h1.344050%σ²ᵣ = 1.806×10⁻⁴ · CV = 6.71×
σ ANNUALISED125.80%/yrscaled by √8760 (hourly→yearly) · 1.344%/h base
RISK-ADJUSTED PERFORMANCE
SHARPE (annualised)13.95excellent · top-decile
-2-10+1+2+3+4
SORTINO (annualised)16.94strong downside-adjusted
-2-10+1+2+3+4
CALMAR (return / max-DD)100.00exceptional DD control
-20+2+4+6
RETURN-DISTRIBUTION SHAPE
SKEWNESS · G₁0.46approximately symmetric
-3-10+1+3
EXCESS KURTOSIS · G₂1.71leptokurtic · fat tails
-30+2+4+6
SORTINO vs SHARPEdownside vol < total vol · favourableSoR / SR = 1.21
CALMAR · DD CONTROLdrawdown control exceptionalCR = 100.00
EXPECTED EDGE+1755.42%/yr driftμ × 8760 = annualised expectation
rₜ = ln(pₜ/pₜ₋₁). σ × √8760 = annualised. Sharpe = μ/σ scaled; Sortino uses downside-only vol; Calmar = annual return / max drawdown.

§6 · Risk metrics

Tail risk + drawdown · downside diagnostics
TAIL & DRAWDOWN RISKHIGH · 95% VaR 1.22%
VaR₉₅ (h)1.216%5% prob of larger adverse h move
VaR₉₉ (h)2.584%1% prob · extreme-tail threshold
ES₉₅ (CVaR)2.110%expected loss given 5% tail event
MAX DRAWDOWN5.05%9h from peak to trough
TAIL-RISK LADDER (h losses)
0 · no lossVaR₉₅1.216%VaR₉₉2.584%ES₉₅2.110%worst tail ←→ zero loss
MAX DRAWDOWN PROFILE
PEAK20.38$
5.05% drawdown over 9h
19.35$TROUGH
ES / VaR · TAIL THICKNESSmoderate fat tail|ES₉₅| / |VaR₉₅| = 1.74× (normal ≈ 1.25)
VaR₉₉ / VaR₉₅ · CONCENTRATIONextreme-tail dominated · severe outliersratio = 2.13× (normal ≈ 1.41)
DRAWDOWN · CAPITAL DURATIONsignificant drawdownrecovery needed: +5.32% (compounding)
VaR = quantile loss · ES (CVaR) = expected loss conditional on tail · DD = peak-to-trough decline. Under normality ES₉₅/VaR₉₅ ≈ 1.25; ratio > 1.5 ⇒ fat-tail regime.

§7 · Technicals

RSI(14)
57.0 · neutral
Bollinger %B
0.496 · within band
Bollinger upper
$0.2049
Bollinger MA
$0.1939
Bollinger lower
$0.1829

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: TRENDING · variance ratio > 1
ρ(1) AUTOCORR-0.079within white-noise band
ρ(2) AUTOCORR+0.419lag-2 dependence detected
H · HURST EXPONENT1.026strongly persistent
OLS TREND · t-STAT+4.611significant @ α=0.05
HURST EXPONENT [0, 1]
H = 1.026STRONGLY 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=1-0.079k=2+0.419k=3-0.201k=4+0.052k=5-0.3090+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|=4.61)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.

§9 · Microstructure

24h volume (USD)
$1.46M
Open interest (USD)
$3.03M
Vol / OI (turnover)
0.48x
1h funding
0.001250%
Funding (annualised)
+10.95%/yr

§10 · Position sizing

Continuous Kelly (μ/σ²)
10.000× leverage · optimal log-utility leverage
Half-Kelly
5.000× · industry-standard conservative
Quarter-Kelly
2.500×

§11 · Hourly return heatmap

24-hour signed Δln-r grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 3.51% · worst -2.99% · typical |Δ| 0.89%MILD BULLISH +4.81%BEST+3.51%23hWORST-2.99%04hTYPICAL |Δ|0.89%mean absoluteCUMULATIVE+4.81%Σ signed ΔSTREAK↗ 1up-runASIA · 00-08 UTCμ +0.32% · Σ +2.58%EUROPE · 08-16 UTCμ +0.03% · Σ +0.23%US · 16-24 UTCμ +0.25% · Σ +2.00%CUMULATIVE Δ PATH · final +4.81%+9.84%0.00%1.02% · 14h1.02% · 14h1.02%14h0.64% · 15h0.64% · 15h0.64%15h0.05% · 16h0.05% · 16h0.05%16h-1.23% · 17h-1.23% · 17h-1.23%17h0.22% · 18h0.22% · 18h0.22%18h-0.27% · 19h-0.27% · 19h-0.27%19h0.11% · 20h0.11% · 20h0.11%20h0.70% · 21h0.70% · 21h0.70%21h-1.08% · 22h-1.08% · 22h-1.08%22h3.51% · 23h3.51% · 23h3.51%23h★ BEST1.50% · 00h1.50% · 00h1.50%00h2.84% · 01h2.84% · 01h2.84%01h-0.25% · 02h-0.25% · 02h-0.25%02h2.08% · 03h2.08% · 03h2.08%03h-2.99% · 04h-2.99% · 04h-2.99%04h▼ WORST0.25% · 05h0.25% · 05h0.25%05h-0.35% · 06h-0.35% · 06h-0.35%06h-0.51% · 07h-0.51% · 07h-0.51%07h0.00% · 08h0.00% · 08h·08h-0.05% · 09h-0.05% · 09h-0.05%09h-1.13% · 10h-1.13% · 10h-1.13%10h-0.15% · 11h-0.15% · 11h-0.15%11h-0.26% · 12h-0.26% · 12h-0.26%12h0.15% · 13h0.15% · 13h0.15%13hTIME PATTERNAsia-led (+2.58%)RUNSup max 3 · down max 4BREADTH50% up · 46% down · 4% flat
12 up bars · 11 down · best 3.51% · worst -2.99% · typical |Δ| 0.889%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +4.71%FINAL+4.71%MAX DD-5.11%RECOVERYONGOING · 10 barsMAX RUN-UP+10.17%UNDERWATER17/25 (68%)STREAK↗ 1EQUITY CURVE · end 1.0471 · peak 1.1017 · range [1.0000, 1.1017]1.10171.0000break-even = 1★ PEAK 1.1017UNDERWATER DRAWDOWN · max -5.11% · significant0%-5.11%▼ TROUGH -5.11%TOP DRAWDOWN PERIODS · 3 total#1 -5.11%bar 16-25 · 10 bars · ONGOING#2 -1.56%bar 5-10 · 6 bars · recovered#3 -0.25%bar 14-14 · 1 bars · recoveredDD SEVERITYsignificant (max -5.11%)RECOVERYongoing · 10 barsTIME UNDER WATER68% of session · 17/25 bars
final equity 1.0471 (4.71%) · max DD -5.11% · time-under-water 17/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +9 / −10 (47% positive) · μ=-1.35 · σ=48.62MIXED EDGELAST -49.02 (-0.98σ vs μ)81.7240.860.00-40.86-81.72μ = -1.358.618.61-11.86-11.86-10.26-10.26-31.93-31.9331.5531.5543.3243.3268.9568.9563.7063.7075.4475.4443.7343.7325.7125.7111.9911.99-16.91-16.91-14.47-14.47-47.55-47.55-57.20-57.20-81.72-81.72-77.72-77.72-49.02-49.02v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -49.021 · range [-81.72, 75.44] · μ -1.349 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=118.4187 · σ=61.2614 · range [39.1664, 223.3403] · R²=0.019 FALLING -41.71%σ EXTREME 51.73%LAST 42.7225223.3403177.2969131.253485.209939.1664μ = 118.4187max 223.3403min 39.1664dataMA(3)OLS R²=0.02μ lineμ ± σ bandmaxmin
latest 42.72% · range [39.17%, 223.34%] · μ 118.42% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +1 / −18 (5% positive) · μ=-0.292 · σ=0.167MEAN-REVERSIONLAST -0.198 (+0.56σ vs μ)0.5900.2950.000-0.295-0.590μ = -0.2920.1040.104-0.242-0.242-0.205-0.205-0.312-0.312-0.366-0.366-0.168-0.168-0.160-0.160-0.339-0.339-0.532-0.532-0.212-0.212-0.241-0.241-0.384-0.384-0.588-0.588-0.590-0.590-0.196-0.196-0.179-0.179-0.386-0.386-0.357-0.357-0.198-0.198v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.198 · |ρ| > 0.3 ⇒ regime with persistence (ρ > 0) or reversal (ρ < 0) · |ρ| ≤ 0.1 = consistent with random walk

§14 · 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

FAIL TO REJECTns

H₀: Δln-r ~ Normal(μ, σ²)

STATISTIC
3.7751
p-VALUE (log scale)
0.1514
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainednormality not rejected
ρ

Ljung-Box(h=5)

FAIL TO REJECTns

H₀: No serial autocorrelation up to lag 5

STATISTIC
9.5648
p-VALUE (log scale)
0.0876
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
-1.5150
p-VALUE (log scale)
0.5262
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
0.2231
p-VALUE (log scale)
0.8234
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (13 runs)
χ

KPSS (μ stationarity)

REJECT H₀*

H₀: p IS level-stationary

STATISTIC
0.5777
p-VALUE (log scale)
0.0247
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-stationary (crit 0.463)
χ

Variance ratio q=3

FAIL TO REJECTns

H₀: Δln-r is a random walk · VR = 1

STATISTIC
0.8617
p-VALUE (log scale)
0.3888
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 1.262 ≈ 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).

§15 · Spectral analysis (DFT periodogram)

Power spectrum of Δln-r · ‖X̂(k)‖²/n
n=12 bins · noise floor μ=1.95e-4 · top T=2.00h (22.0%) · top-3 cover 56.6%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)5.1e-43.9e-42.6e-41.3e-40.0e+0μ noise floor2× noise (significance)period 24.0 · power 2.52e-4 · 10.8% energyperiod 24.0 · power 2.52e-4 · 10.8% energyperiod 12.0 · power 3.57e-4 · 15.3% energyperiod 12.0 · power 3.57e-4 · 15.3% energyperiod 8.0 · power 1.85e-4 · 7.9% energyperiod 8.0 · power 1.85e-4 · 7.9% energyperiod 6.0 · power 1.27e-4 · 5.4% energyperiod 6.0 · power 1.27e-4 · 5.4% energyperiod 4.8 · power 4.09e-5 · 1.8% energyperiod 4.8 · power 4.09e-5 · 1.8% energyperiod 4.0 · power 2.90e-5 · 1.2% energyperiod 4.0 · power 2.90e-5 · 1.2% energyperiod 3.4 · power 2.90e-5 · 1.2% energyperiod 3.4 · power 2.90e-5 · 1.2% energyperiod 3.0 · power 1.96e-4 · 8.4% energyperiod 3.0 · power 1.96e-4 · 8.4% energyperiod 2.7 · power 3.73e-5 · 1.6% energyperiod 2.7 · power 3.73e-5 · 1.6% energyperiod 2.4 · power 1.16e-4 · 5.0% energyperiod 2.4 · power 1.16e-4 · 5.0% energyperiod 2.2 · power 4.51e-4 · 19.3% energyperiod 2.2 · power 4.51e-4 · 19.3% energyperiod 2.0 · power 5.14e-4 · 22.0% energyperiod 2.0 · power 5.14e-4 · 22.0% energy50% by T=3.0h#1 dominantT=2.00h#2T=2.18h#3T=12.00hT=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 ≈ 2.00h (freq 0.500) · concentrates 22.0% of total energy · Σ|X̂|²/n = 2.335e-3

▸ Depth section using sovereign-store price series (5000 bars · effective 5257847 bars/year) — annualisation reflects native polling cadence, not upstream timeframes.

§16 · NOSTRADAMUS continuous quant — perp leverage & bootstrap MC

Continuous-price extension of the prediction-market quant module. Kelly growth on observed returns (Merton μ/σ² parametric vs argmax empirical), Monte-Carlo equity fan bootstrapped from the historical return distribution at quarter-Kelly leverage, and an annualized return decomposition. Sweep parameters in the simulator.

§17 · Continuous Kelly

Continuous-Kelly growth · g(f) = E[ln(1 + f·r)]
NO LONG EDGE · μ -0.001% per barparametric μ/σ² short edge (μ<0) · μ -0.001% · σ 0.05%
μ per barmean
-0.001%
σ per barvol
0.05%
Empirical f★argmax g(f)
0.00×
from observed distribution
Parametric f★μ/σ²
-19.49×
Merton continuous-time
Half-Kelly½ f★
0.00×
~⅔ of full growth, half the variance
Quarter-Kelly¼ f★
0.00×
industry default — survives model error
-0.01%0.02%0.05%0.07%0.10%0.0×1.6×3.2×4.8×6.4×8.0×leverage fraction fexpected log-growth per bar
g(f) empiricalf★ argmaxparametric f★
Maximum expected log-growth from leveraging the historical return distribution. Empirical f★ argmaxes the sample expectation; parametric f★ = μ/σ² is Merton's continuous-time optimum.

§18 · MC equity fan

Bootstrapped equity fan at 0.10× leverage
Median CAGR/bar -0.000% · annualized Sharpe -27.82400 paths × 720 bars · leverage 0.10× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
-0.012
annualized -27.82
μ per barafter L
-0.000%
σ per barafter L
0.01%
VaR 95%5%
0.01%
per-bar worst-case
CVaR 95%ES
0.01%
mean tail loss
Max DD (median)MDD
-0.1%
0.95×0.97×0.99×1.01×1.03×1.05×0120240360480600720startbar #equity multiple
median25/75 band5/95 band
Median path with 25/75 and 5/95 percentile bands across 400 simulated careers. Bars resample with replacement from the observed return distribution — preserves fat tails the parametric model misses.

§19 · Annualized breakdown

Annualized return components
APR -1000% · APY -100% · Sharpe -23.96σ ann 123% · Sortino -16.58 · n 4999 · ⚠ capped (n=4999 too small to support 8760-bar projection)
-2875%-2271%-1666%-1062%-457%148%-1000.0%APR (simple)-100.0%APY (compound)123.0%Ann. vol σ-2396.2%Sharpe (ann)-1658.2%Sortino (ann)
Simple APR vs compounded APY · annualized volatility · risk-adjusted Sharpe and Sortino. All scaled by √(periods/yr).

§20 · GARCH(1,1) volatility band

GARCH(1,1) · conditional vol envelope (±2σ)
GARCH persistence α+β = 0.980· σ̂ₜ = 1.001% · long-run σ = 2.236%
0.1850.1900.1940.1990.2040.209t-4999t-4166t-3333t-2500t-1666t-833t-0

Persistence near 1 ⇒ vol clusters strongly (slow mean reversion). Long-run σ is the unconditional target the conditional vol orbits. The ±2σ band reflects time-varying scale, unlike a flat-vol band.

Time-varying volatility band fitted to the price series. Persistence α+β > 0.98 means vol shocks decay slowly — recent moves stay relevant.

§∞ · Provenance & attestation

Snapshot fetched
2026-06-14 13:27:57 UTC
Snapshot age
3.1s
History points
25 hourly closes
Page rendered
2026-06-14 13:28:00 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
bf8df9d6cc83c271960027983f465b2b4129ed04adf95ceba372594f31438aab · deterministic hash of the source snapshot — proves this page was rendered from this exact data
Open data licence
CC0 / public domain · free to mirror, syndicate, analyse

§∞-2 · Related markets · explore more

Also see: /arb opportunities · RSS feed

Market depth

live order book · Hyperliquid perp
Depth within 1bp
$0
bid $0 · ask $0
Depth within 5bp
$5.28K
bid $4.98K · ask $308
Depth within 10bp
$10.87K
bid $9.03K · ask $1.84K
Depth within 50bp
$81.13K
bid $46.36K · ask $34.76K
Mid price
0.193650
(best bid + best ask) / 2
Spread
5.2bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
+0.356
bid-heavy
Imbalance (top-5)
+0.244
bid-heavy top-of-book

Slippage scenarios

live book walk · Hyperliquid perp

Simulating a market order at three notionals against the live book. Slippage = avg execution price vs. mid, in basis points. Worst fill = price of the deepest level touched. Live JSON: /api/asset/hl-eigen/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.1937696.15bp0.1938002FILLED
BUY$10.00K0.19394715.36bp0.1941005FILLED
BUY$100.00K0.19461149.61bp0.19680020PARTIAL
SELL$1.00K0.1936002.58bp0.1936001FILLED
SELL$10.00K0.1935405.68bp0.1934003FILLED
SELL$100.00K0.19265451.44bp0.19210015FILLED

Funding carry

LONGS PAY · shorts receive
Hourly funding
+1.250e-5
0.00125% / hr
Annualised APR
10.958%
hourly · 24 · 365.25
Long: days to 1% carry
33.3d
longs pay
Short: days to 1% carry
33.3d
shorts receive
SideDirectionAnnualised carryDays → 1%Days → 10%
LONGPAY-10.958%33.3d333.3d
SHORTRECEIVE10.958%33.3d333.3d

/api/asset/hl-eigen/carry · same metrics, JSON

Volume profile

real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$0.000000–$1.000025$7.58M

★ POC = Point of Control (highest-volume bin). Live JSON: /api/asset/hl-eigen/volprofile?priceStep=1

Order flow

BID-LEAN · +0.036 · Hyperliquid candles
Bars (buy / sell)
12 / 12
1 unclassified
Buy weight
$3.90M
real volume
Sell weight
$3.63M
real volume
Net delta
$269.78K
buyers net
Imbalance
3.58%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
3.6%
two-sided / balanced
Impact (|Δp|/vol)
needs real volume

Sparkline = cumulative delta over the 25-record window./api/asset/hl-eigen/flow?rollingWindow=30

Cascade clusters

DOWN · 3 found · deepest 5.05% · Hyperliquid candles

Price-only proxy for forced-unwind clusters. No exchange liquidation feed is wired — read each row as a candidate event, not a confirmed liquidation.

#WindowDurationPeak → TroughDrawdownBars
#12026-06-14 04:00:00Z8.0h0.2038000.1935005.054%9
#22026-06-13 17:00:00Z2.0h0.1879000.1855001.277%3
#32026-06-13 22:00:00Z0ms0.1870000.1850001.070%1

/api/asset/hl-eigen/cascades?windowMs=10800000&minDrawdownPct=0.005 · full list + parameters in JSON

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
122.96%
σ per bar = 0.000536
Mean return (annualised)
-2946.35%
μ per bar = -0.000006
Sharpe (rf=0)
-23.96
annualised; risk-free assumed zero
Max drawdown
4.09%
peak 0.20 → trough 0.19 over 3809 bars

/api/asset/hl-eigen/risk · same metrics, JSON