HYPERLIQUID · PERPETUAL FUTURES

ARK

ARK-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-ark · fresh · feed 2s old
24h sparkline · 60 pts -0.31%
realized vol (ann.)
52.80%
max drawdown
1.10%
sharpe
-15.19
ulcer index
0.37%
RMS drawdown
pain index
0.28%
mean drawdown
mod. VaR 95%
0.03%
Cornish-Fisher
martin ratio
-2151.13
ret / ulcer
CDaR 95%
0.87%
cond. drawdown
gain/pain
0.96
Σgain / Σ|loss|
sterling
-919.71
ret / CDaR
omega (θ=0)
0.96
upside/downside
roll spread
1.0 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
-0.31%
flow lean
carry
longs_pay
10.95%
signalNEUTRALconfidence 36%
  • funding: longs pay — perp shorts get paid to wait
  • mark cheap vs HL oracle by 16.5bps — long bias
Same bundle via M2M API: /api/m2m/hl-ark/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH1.5s--:--:-- 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
$0.121
24h Δ · live
-0.31%
24h vol · live
$0.1M
ARK · live 24h price
n=25 · μ=0.1215 · σ=0.0004 · range [0.1207, 0.1222] · R²=0.012 FALLING -0.63%σ LOW 0.35%LAST 0.12110.12220.12180.12150.12110.1207μ = 0.1215max 0.1222min 0.1207dataMA(5)OLS R²=0.01μ lineμ ± σ bandmaxminlive endpoint
25 closes · last $0.12
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=563,032 · μ=22521.3 · σ=15024.7 · CV=0.67STEADY FLOWcumulative energy ↗ · 50% by h=14017,07834,15651,23368,311μ = 2252168,31150%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 68311 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
snapshot age
1.5s
$mark $
$0.1211
$mid $
$0.1212
prev-day close
$0.1215
Δ24h Δ %
-0.313%
$24h vol $
$68.45k
open interest $
$103.28k
%funding (1h)
0.001250%
%funding (yr)
+10.95%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=0.1215 · σ=0.0004 · range [0.1207, 0.1222] · R²=0.012 FALLING -0.63%σ LOW 0.35%LAST 0.12110.12220.12180.12150.12110.1207μ = 0.1215max 0.1222min 0.1207dataMA(5)OLS R²=0.01μ lineμ ± σ bandmaxmin
mark $0.1211 · 24h -0.31% · range $[0.1207, 0.1222]
OHLC candles · hourly
n=25 · up 12 · down 13 (48% up) · range [0.1203, 0.1225] · σ=0.0004 · CV=0.00 · bodyµ=45%BEARISH -0.31%CLOSE 0.1211 vs OPEN 0.1215 (-0.31%)&#9660; CLOSE 0.12110.12250.12200.12140.12090.1203μ close = 0.1215O0.121 H0.122 L0.121 C0.122 (+0.32%)O0.121 H0.122 L0.121 C0.122 (+0.32%)O0.122 H0.122 L0.121 C0.122 (-0.24%)O0.122 H0.122 L0.121 C0.122 (-0.24%)O0.121 H0.122 L0.121 C0.121 (-0.26%)O0.121 H0.122 L0.121 C0.121 (-0.26%)O0.121 H0.121 L0.121 C0.121 (-0.06%)O0.121 H0.121 L0.121 C0.121 (-0.06%)O0.121 H0.122 L0.121 C0.122 (+0.30%)O0.121 H0.122 L0.121 C0.122 (+0.30%)O0.122 H0.122 L0.120 C0.121 (-0.24%)O0.122 H0.122 L0.120 C0.121 (-0.24%)O0.121 H0.122 L0.121 C0.122 (+0.40%)O0.121 H0.122 L0.121 C0.122 (+0.40%)O0.121 H0.122 L0.121 C0.121 (-0.21%)O0.121 H0.122 L0.121 C0.121 (-0.21%)O0.121 H0.122 L0.121 C0.121 (+0.04%)O0.121 H0.122 L0.121 C0.121 (+0.04%)O0.121 H0.121 L0.121 C0.121 (-0.51%)O0.121 H0.121 L0.121 C0.121 (-0.51%)O0.121 H0.122 L0.121 C0.122 (+0.88%)O0.121 H0.122 L0.121 C0.122 (+0.88%)O0.122 H0.122 L0.121 C0.121 (-0.25%)O0.122 H0.122 L0.121 C0.121 (-0.25%)O0.121 H0.121 L0.121 C0.121 (-0.14%)O0.121 H0.121 L0.121 C0.121 (-0.14%)O0.121 H0.122 L0.121 C0.121 (-0.29%)O0.121 H0.122 L0.121 C0.121 (-0.29%)O0.121 H0.122 L0.121 C0.122 (+0.71%)O0.121 H0.122 L0.121 C0.122 (+0.71%)O0.122 H0.122 L0.122 C0.122 (+0.21%)O0.122 H0.122 L0.122 C0.122 (+0.21%)O0.122 H0.123 L0.122 C0.122 (-0.02%)O0.122 H0.123 L0.122 C0.122 (-0.02%)-1.0%O0.122 H0.122 L0.121 C0.121 (-1.04%)O0.122 H0.122 L0.121 C0.121 (-1.04%)O0.121 H0.122 L0.120 C0.122 (+0.49%)O0.121 H0.122 L0.120 C0.122 (+0.49%)O0.122 H0.122 L0.121 C0.121 (-0.69%)O0.122 H0.122 L0.121 C0.121 (-0.69%)O0.121 H0.122 L0.121 C0.121 (+0.01%)O0.121 H0.122 L0.121 C0.121 (+0.01%)O0.121 H0.122 L0.121 C0.122 (+0.28%)O0.121 H0.122 L0.121 C0.122 (+0.28%)O0.122 H0.122 L0.121 C0.122 (+0.26%)O0.122 H0.122 L0.121 C0.122 (+0.26%)O0.122 H0.122 L0.121 C0.121 (-0.93%)O0.122 H0.122 L0.121 C0.121 (-0.93%)O0.121 H0.121 L0.121 C0.121 (+0.00%)O0.121 H0.121 L0.121 C0.121 (+0.00%)#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=563,032 · μ=22521.3 · σ=15024.7 · CV=0.67STEADY FLOWcumulative energy &nearr; · 50% by h=14017,07834,15651,23368,311μ = 2252120,995 · 30.7% peak20,995 · 30.7% peak18,354 · 26.9% peak18,354 · 26.9% peak17,650 · 25.8% peak17,650 · 25.8% peak16,359 · 23.9% peak16,359 · 23.9% peak68,31168,311 · 100.0% peak68,311 · 100.0% peak12,967 · 19.0% peak12,967 · 19.0% peak18,849 · 27.6% peak18,849 · 27.6% peak14,095 · 20.6% peak14,095 · 20.6% peak17,911 · 26.2% peak17,911 · 26.2% peak14,868 · 21.8% peak14,868 · 21.8% peak18,773 · 27.5% peak18,773 · 27.5% peak14,462 · 21.2% peak14,462 · 21.2% peak15,649 · 22.9% peak15,649 · 22.9% peak37,758 · 55.3% peak37,758 · 55.3% peak36,266 · 53.1% peak36,266 · 53.1% peak14,256 · 20.9% peak14,256 · 20.9% peak15,925 · 23.3% peak15,925 · 23.3% peak63,283 · 92.6% peak63,283 · 92.6% peak31,540 · 46.2% peak31,540 · 46.2% peak18,596 · 27.2% peak18,596 · 27.2% peak21,360 · 31.3% peak21,360 · 31.3% peak15,362 · 22.5% peak15,362 · 22.5% peak20,216 · 29.6% peak20,216 · 29.6% peak18,982 · 27.8% peak18,982 · 27.8% peak245 · 0.4% peak245 · 0.4% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 563032 · peak 68311 · CV 0.67

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=-0.0002 · σ=0.0046 · skew=-0.01 (symmetric) · kurt=-0.01 (mesokurtic)54310 2-95.72bpbin -95.72bp · n=2 · 40.0% peakbin -95.72bp · n=2 · 40.0% peak-78.22bp 1-60.72bpbin -60.72bp · n=1 · 20.0% peakbin -60.72bp · n=1 · 20.0% peak 2-43.23bpbin -43.23bp · n=2 · 40.0% peakbin -43.23bp · n=2 · 40.0% peak 3-25.73bpbin -25.73bp · n=3 · 60.0% peakbin -25.73bp · n=3 · 60.0% peak 5-8.24bpbin -8.24bp · n=5 · 100.0% peakbin -8.24bp · n=5 · 100.0% peak 49.26bpbin 9.26bp · n=4 · 80.0% peakbin 9.26bp · n=4 · 80.0% peak 326.75bpbin 26.75bp · n=3 · 60.0% peakbin 26.75bp · n=3 · 60.0% peak 144.25bpbin 44.25bp · n=1 · 20.0% peakbin 44.25bp · n=1 · 20.0% peak 161.74bpbin 61.74bp · n=1 · 20.0% peakbin 61.74bp · n=1 · 20.0% peak 179.24bpbin 79.24bp · n=1 · 20.0% peakbin 79.24bp · n=1 · 20.0% peak 196.73bpbin 96.73bp · n=1 · 20.0% peakbin 96.73bp · n=1 · 20.0% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 11 · negative 12
Q-Q plot · standardised rₜ vs N(0,1)
n=24 · skew=-0.07 · kurt=0.09 · near 23 / mid 1 / far 0 · OLS slope=1.02 intercept=-0.00MATCHES NORMAL · WELL-BEHAVEDUPPER 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

§3 · Spot quote

Mark price
$0.1211
Mid price
$0.1212
24h change
-0.31%
Mark–mid spread
11.97 bps
Prev-day close
$0.1215

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25PLATYKURTIC · THIN TAILS (G₂=-1.16)
μ MEAN0.1215$95% CI: [0.1213$, 0.1216$]
σ STD DEV0.0004$σ² = 0.002×10⁻⁴ · CV = 0.35%
med MEDIAN0.1215$Q₁ 0.1211$ · Q₃ 0.1218$
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.1207$Q₁ 0.1211$med 0.1215$Q₃ 0.1218$max 0.1222$μ
SKEWNESS · G₁0.262approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.156platykurtic · thin tails
−30+2+4+6
μ ↔ median≈ equal · symmetric|μ−med| / σ = 0.00
σ × 1.349 ↔ IQRconsistent with normalratio = 0.87
range ↔ σconcentrated (range < 4σ)range / σ = 3.49
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-ADJUSTEDUNPROFITABLE · SR=-4.99
μᵣ MEAN / h-0.026409%drift is negative per h · |μ|/σ = 0.053
σᵣ STD / h0.495013%σ²ᵣ = 0.245×10⁻⁴ · CV = 18.74×
σ ANNUALISED46.33%/yrscaled by √8760 (hourly→yearly) · 0.495%/h base
RISK-ADJUSTED PERFORMANCE
SHARPE (annualised)-4.99negative edge
-2-10+1+2+3+4
SORTINO (annualised)-4.84downside drag
-2-10+1+2+3+4
CALMAR (return / max-DD)-100.00drawdown overwhelms returns
-20+2+4+6
RETURN-DISTRIBUTION SHAPE
SKEWNESS · G₁-0.07approximately symmetric
-3-10+1+3
EXCESS KURTOSIS · G₂0.41mesokurtic · normal-like tails
-30+2+4+6
SORTINO vs SHARPEdownside vol < total vol · favourableSoR / SR = 0.97
CALMAR · DD CONTROLdrawdown > returns · adverseCR = -100.00
EXPECTED EDGE-231.35%/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 RISKELEVATED · 95% VaR 0.93%
VaR₉₅ (h)0.926%5% prob of larger adverse h move
VaR₉₉ (h)1.031%1% prob · extreme-tail threshold
ES₉₅ (CVaR)1.016%expected loss given 5% tail event
MAX DRAWDOWN1.04%1h from peak to trough
TAIL-RISK LADDER (h losses)
0 · no lossVaR₉₅0.926%VaR₉₉1.031%ES₉₅1.016%worst tail ←→ zero loss
MAX DRAWDOWN PROFILE
PEAK12.22$
1.04% drawdown over 1h
12.09$TROUGH
ES / VaR · TAIL THICKNESSthin tails · ES ≈ VaR|ES₉₅| / |VaR₉₅| = 1.10× (normal ≈ 1.25)
VaR₉₉ / VaR₉₅ · CONCENTRATIONuniform tailratio = 1.11× (normal ≈ 1.41)
DRAWDOWN · CAPITAL DURATIONmoderate drawdownrecovery needed: +1.05% (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)
44.8 · neutral
Bollinger %B
0.295 · within band
Bollinger upper
$0.1224
Bollinger MA
$0.1215
Bollinger lower
$0.1206

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ρ(1) -0.44 + ADF rejected
ρ(1) AUTOCORR-0.437negative · reversal
ρ(2) AUTOCORR+0.101lag-2 not significant
H · HURST EXPONENT0.400mean-reverting
OLS TREND · t-STAT+0.531fails 5% test
HURST EXPONENT [0, 1]
H = 0.400MEAN-REVERTING
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=1-0.437k=2+0.101k=3-0.387k=4+0.379k=5-0.3130+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) -0.44 + ADF rejectedfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.64very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCENOT SIGNIFICANT (|t|=0.53)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)
$68.45k
Open interest (USD)
$103.28k
Vol / OI (turnover)
0.66x
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 1.05% · worst -1.04% · typical |Δ| 0.37%MILD BEARISH -0.63%BEST+1.05%21hWORST-1.04%04hTYPICAL |Δ|0.37%mean absoluteCUMULATIVE-0.63%Σ signed ΔSTREAK↗ 1up-runASIA · 00-08 UTCμ +0.03% · Σ +0.22%EUROPE · 08-16 UTCμ -0.07% · Σ -0.54%US · 16-24 UTCμ -0.04% · Σ -0.31%CUMULATIVE Δ PATH · final -0.63%+0.28%-0.96%-0.26% · 12h-0.26% · 12h-0.26%12h-0.33% · 13h-0.33% · 13h-0.33%13h-0.04% · 14h-0.04% · 14h-0.04%14h0.40% · 15h0.40% · 15h0.40%15h-0.24% · 16h-0.24% · 16h-0.24%16h0.35% · 17h0.35% · 17h0.35%17h-0.52% · 18h-0.52% · 18h-0.52%18h0.13% · 19h0.13% · 19h0.13%19h-0.44% · 20h-0.44% · 20h-0.44%20h1.05% · 21h1.05% · 21h1.05%21h★ BEST-0.58% · 22h-0.58% · 22h-0.58%22h-0.07% · 23h-0.07% · 23h-0.07%23h-0.09% · 00h-0.09% · 00h-0.09%00h0.77% · 01h0.77% · 01h0.77%01h0.12% · 02h0.12% · 02h0.12%02h0.03% · 03h0.03% · 03h0.03%03h-1.04% · 04h-1.04% · 04h-1.04%04h▼ WORST0.57% · 05h0.57% · 05h0.57%05h-0.13% · 06h-0.13% · 06h-0.13%06h0.00% · 07h0.00% · 07h·07h0.25% · 08h0.25% · 08h0.25%08h0.34% · 09h0.34% · 09h0.34%09h-0.99% · 10h-0.99% · 10h-0.99%10h0.09% · 11h0.09% · 11h0.09%11hTIME PATTERNAsia-led (+0.22%)RUNSup max 3 · down max 3BREADTH46% up · 50% down · 4% flat
11 up bars · 12 down · best 1.05% · worst -1.04% · typical |Δ| 0.368%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS · SHALLOW DD (-0.66%)FINAL-0.66%MAX DD-1.04%RECOVERYONGOING · 8 barsMAX RUN-UP+0.26%UNDERWATER20/25 (80%)STREAK↗ 1EQUITY CURVE · end 0.9934 · peak 1.0026 · range [0.9904, 1.0026]1.00260.9904break-even = 1★ PEAK 1.0026UNDERWATER DRAWDOWN · max -1.04% · moderate0%-1.04%▼ TROUGH -1.04%TOP DRAWDOWN PERIODS · 3 total#1 -1.04%bar 18-25 · 8 bars · ONGOING#2 -0.96%bar 2-10 · 9 bars · recovered#3 -0.74%bar 12-14 · 3 bars · recoveredDD SEVERITYmoderate (max -1.04%)RECOVERYongoing · 8 barsTIME UNDER WATER80% of session · 20/25 bars
final equity 0.9934 (-0.66%) · max DD -1.04% · time-under-water 20/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +9 / −10 (47% positive) · μ=-0.44 · σ=11.93MIXED EDGELAST -14.22 (-1.16σ vs μ)31.0415.520.00-15.52-31.04μ = -0.44-6.42-6.42-16.30-16.303.293.29-12.62-12.628.888.88-0.20-0.20-10.61-10.610.220.2215.1715.1731.0431.046.456.45-7.53-7.538.738.737.697.69-13.25-13.25-9.41-9.41-0.45-0.451.181.18-14.22-14.22v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -14.221 · range [-16.30, 31.04] · μ -0.440 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=49.6917 · σ=9.9794 · range [29.8806, 61.7259] · R²=0.192 RISING +50.04%σ EXTREME 20.08%LAST 44.832661.725953.764545.803237.841929.8806μ = 49.6917max 61.7259min 29.8806dataMA(3)OLS R²=0.19μ lineμ ± σ bandmaxmin
latest 44.83% · range [29.88%, 61.73%] · μ 49.69% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +2 / −17 (11% positive) · μ=-0.407 · σ=0.221MEAN-REVERSIONLAST -0.330 (+0.35σ vs μ)0.7110.3560.000-0.356-0.711μ = -0.407-0.193-0.193-0.485-0.485-0.711-0.711-0.630-0.630-0.473-0.473-0.674-0.674-0.608-0.608-0.651-0.651-0.528-0.528-0.324-0.3240.0530.0530.0220.022-0.297-0.297-0.293-0.293-0.529-0.529-0.501-0.501-0.361-0.361-0.223-0.223-0.330-0.330v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.330 · |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
2 of 6 REJECT · mixed evidence2 reject·4 pass·α = 0.05
𝒩

Jarque-Bera

FAIL TO REJECTns

H₀: Δln-r ~ Normal(μ, σ²)

STATISTIC
0.1849
p-VALUE (log scale)
0.9117
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainednormality not rejected
ρ

Ljung-Box(h=5)

REJECT H₀**

H₀: No serial autocorrelation up to lag 5

STATISTIC
17.6203
p-VALUE (log scale)
0.0036
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zoneserial dependence detected
Ψ

Dickey-Fuller (τ_μ)

REJECT H₀***

H₀: p has a unit root (non-stationary)

STATISTIC
-4.5690
p-VALUE (log scale)
0.0003
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonestationary · mean-reverting (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
0.1249
p-VALUE (log scale)
0.4879
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedstationary not rejected (crit 0.463)
χ

Variance ratio q=3

FAIL TO REJECTns

H₀: Δln-r is a random walk · VR = 1

STATISTIC
-1.7929
p-VALUE (log scale)
0.0730
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.454 ≈ 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=3.27e-5 · top T=2.00h (56.6%) · top-3 cover 73.3%STRONG CYCLE @ T≈2.0cumulative energy ↗ (1 bin above 2× noise)2.2e-41.7e-41.1e-45.6e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 5.77e-6 · 1.5% energyperiod 24.0 · power 5.77e-6 · 1.5% energyperiod 12.0 · power 2.49e-7 · 0.1% energyperiod 12.0 · power 2.49e-7 · 0.1% energyperiod 8.0 · power 1.53e-5 · 3.9% energyperiod 8.0 · power 1.53e-5 · 3.9% energyperiod 6.0 · power 1.91e-5 · 4.9% energyperiod 6.0 · power 1.91e-5 · 4.9% energyperiod 4.8 · power 2.55e-5 · 6.5% energyperiod 4.8 · power 2.55e-5 · 6.5% energyperiod 4.0 · power 1.99e-5 · 5.1% energyperiod 4.0 · power 1.99e-5 · 5.1% energyperiod 3.4 · power 1.91e-5 · 4.9% energyperiod 3.4 · power 1.91e-5 · 4.9% energyperiod 3.0 · power 4.04e-5 · 10.3% energyperiod 3.0 · power 4.04e-5 · 10.3% energyperiod 2.7 · power 1.13e-5 · 2.9% energyperiod 2.7 · power 1.13e-5 · 2.9% energyperiod 2.4 · power 5.73e-6 · 1.5% energyperiod 2.4 · power 5.73e-6 · 1.5% energyperiod 2.2 · power 8.40e-6 · 2.1% energyperiod 2.2 · power 8.40e-6 · 2.1% energyperiod 2.0 · power 2.22e-4 · 56.6% energyperiod 2.0 · power 2.22e-4 · 56.6% energy50% by T=2.0h#1 dominantT=2.00h#2T=3.00h#3T=4.80hT=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 56.6% of total energy · Σ|X̂|²/n = 3.929e-4

▸ Depth section using sovereign-store price series (5000 bars · effective 5258724 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 -0.000% per barparametric μ/σ² short edge (μ<0) · μ -0.000% · σ 0.02%
μ per barmean
-0.000%
σ per barvol
0.02%
Empirical f★argmax g(f)
0.00×
from observed distribution
Parametric f★μ/σ²
-27.56×
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
-0.00%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 -12.24400 paths × 720 bars · leverage 0.10× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
-0.005
annualized -12.24
μ per barafter L
-0.000%
σ per barafter L
0.00%
VaR 95%5%
0.00%
per-bar worst-case
CVaR 95%ES
0.01%
mean tail loss
Max DD (median)MDD
-0.0%
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 -788% · APY -100% · Sharpe -14.73σ ann 53% · Sortino -7.17 · n 4999
-1768%-1401%-1035%-669%-302%64%-787.5%APR (simple)-100.0%APY (compound)53.5%Ann. vol σ-1473.2%Sharpe (ann)-716.9%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 = 1.000% · long-run σ = 2.236%
0.1160.1180.1200.1230.1250.128t-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 11:00:57 UTC
Snapshot age
1.5s
History points
25 hourly closes
Page rendered
2026-06-14 11:00:59 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
fdc59d8f0abb9a0621bdfe606e1ac33348453f0ca58831911bda795a794b3e0e · 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
$1.97K
bid $568 · ask $1.40K
Depth within 10bp
$3.84K
bid $2.06K · ask $1.78K
Depth within 50bp
$19.23K
bid $9.70K · ask $9.53K
Mid price
0.121240
(best bid + best ask) / 2
Spread
4.9bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.206
ask-heavy
Imbalance (top-5)
+0.155
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-ark/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.1212783.17bp0.1212802FILLED
BUY$10.00K0.12152023.12bp0.12193010FILLED
BUY$100.00K0.124039230.85bp0.12848020PARTIAL
SELL$1.00K0.1211715.66bp0.1211303FILLED
SELL$10.00K0.12097022.30bp0.12029010FILLED
SELL$100.00K0.12013591.15bp0.11817020PARTIAL

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-ark/carry · same metrics, JSON

Volume profile

real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$0.000000–$1.000025$563.03K

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

Order flow

ASK-LEAN · -0.049 · Hyperliquid candles
Bars (buy / sell)
11 / 13
1 unclassified
Buy weight
$257.65K
real volume
Sell weight
$284.38K
real volume
Net delta
$26.73K
sellers net
Imbalance
-4.93%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
4.9%
two-sided / balanced
Impact (|Δp|/vol)
needs real volume

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

Cascade clusters

DOWN · 7 found · deepest 1.04% · 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 04:00:00Z0ms0.1222100.1209401.039%1
#22026-06-14 10:00:00Z1.0h0.1221900.1209900.982%2
#32026-06-13 20:00:00Z0ms0.1217100.1207100.822%1

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

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
53.46%
σ per bar = 0.000233
Mean return (annualised)
-787.53%
μ per bar = -0.000001
Sharpe (rf=0)
-14.73
annualised; risk-free assumed zero
Max drawdown
1.80%
peak 0.12 → trough 0.12 over 1268 bars

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