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HYPERLIQUID · PERPETUAL FUTURES

SUSHI

SUSHI-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-sushi · fresh · feed 22s old
24h sparkline · 60 pts 1.19%
realized vol (ann.)
67.34%
max drawdown
1.12%
sharpe
-91.72
ulcer index
0.76%
RMS drawdown
pain index
0.69%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
-8111.56
ret / ulcer
CDaR 95%
1.06%
cond. drawdown
gain/pain
0.80
Σgain / Σ|loss|
sterling
-5844.86
ret / CDaR
omega (θ=0)
0.80
upside/downside
roll spread
1.2 bps
implied (price-only)
bars used
613
store
spread
24h Δ
1.19%
flow lean
carry
longs_pay
10.95%
signalNEUTRALconfidence 34%
  • 24h change +1.19%
  • funding: longs pay — perp shorts get paid to wait
  • mark cheap vs HL oracle by 13.6bps — long bias
Same bundle via M2M API: /api/m2m/hl-sushi/bundle · venue execution: hyperliquid
LIVEPOLL0SRCWARMING22.3s--:--:-- UTC8NEXT8.0sUP0s--:--HIST0/30
▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC WARMING·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC WARMING·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·
MARK · live
$0.176
24h Δ · live
1.19%
24h vol · live
$0.1M
SUSHI · live 24h price
n=25 · μ=0.1761 · σ=0.0011 · range [0.1738, 0.1782] · R²=0.179 RISING +1.23%σ LOW 0.61%LAST 0.17590.17820.17710.17600.17490.1738μ = 0.1761max 0.1782min 0.1738dataMA(5)OLS R²=0.18μ lineμ ± σ bandmaxminlive endpoint
25 closes · last $0.18
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=555,577 · μ=22223.1 · σ=12632.5 · CV=0.57STEADY FLOWcumulative energy ↗ · 50% by h=13013,75627,51341,26955,025μ = 2222355,025.250%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 55025 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
snapshot age
22.3s
$mark $
$0.1758
$mid $
$0.1758
prev-day close
$0.1738
Δ24h Δ %
+1.191%
$24h vol $
$94.77k
open interest $
$111.52k
%funding (1h)
0.001250%
%funding (yr)
+10.95%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=0.1761 · σ=0.0011 · range [0.1738, 0.1782] · R²=0.179 RISING +1.23%σ LOW 0.61%LAST 0.17590.17820.17710.17600.17490.1738μ = 0.1761max 0.1782min 0.1738dataMA(5)OLS R²=0.18μ lineμ ± σ bandmaxmin
mark $0.1758 · 24h 1.19% · range $[0.1738, 0.1782]
OHLC candles · hourly
n=25 · up 17 · down 8 (68% up) · range [0.1733, 0.1788] · σ=0.0011 · CV=0.01 · bodyµ=48%BULLISH +0.46%CLOSE 0.1759 vs OPEN 0.1751 (+0.46%)&#9650; CLOSE 0.17590.17880.17740.17600.17470.1733μ close = 0.1761O0.175 H0.175 L0.173 C0.174 (-0.76%)O0.175 H0.175 L0.173 C0.174 (-0.76%)O0.174 H0.175 L0.174 C0.174 (+0.32%)O0.174 H0.175 L0.174 C0.174 (+0.32%)O0.175 H0.176 L0.174 C0.175 (+0.43%)O0.175 H0.176 L0.174 C0.175 (+0.43%)O0.175 H0.176 L0.174 C0.175 (+0.06%)O0.175 H0.176 L0.174 C0.175 (+0.06%)O0.175 H0.177 L0.175 C0.176 (+0.21%)O0.175 H0.177 L0.175 C0.176 (+0.21%)O0.176 H0.177 L0.174 C0.176 (+0.33%)O0.176 H0.177 L0.174 C0.176 (+0.33%)O0.176 H0.178 L0.176 C0.178 (+1.00%)O0.176 H0.178 L0.176 C0.178 (+1.00%)O0.178 H0.179 L0.176 C0.177 (-0.81%)O0.178 H0.179 L0.176 C0.177 (-0.81%)O0.177 H0.177 L0.176 C0.177 (+0.05%)O0.177 H0.177 L0.176 C0.177 (+0.05%)O0.177 H0.178 L0.176 C0.176 (-0.07%)O0.177 H0.178 L0.176 C0.176 (-0.07%)O0.176 H0.178 L0.176 C0.177 (+0.34%)O0.176 H0.178 L0.176 C0.177 (+0.34%)O0.177 H0.177 L0.175 C0.176 (-0.66%)O0.177 H0.177 L0.175 C0.176 (-0.66%)O0.176 H0.176 L0.174 C0.175 (-0.74%)O0.176 H0.176 L0.174 C0.175 (-0.74%)O0.175 H0.176 L0.175 C0.176 (+0.51%)O0.175 H0.176 L0.175 C0.176 (+0.51%)O0.176 H0.176 L0.175 C0.175 (-0.76%)O0.176 H0.176 L0.175 C0.175 (-0.76%)O0.175 H0.176 L0.174 C0.176 (+0.46%)O0.175 H0.176 L0.174 C0.176 (+0.46%)O0.175 H0.177 L0.175 C0.177 (+0.61%)O0.175 H0.177 L0.175 C0.177 (+0.61%)O0.176 H0.179 L0.176 C0.177 (+0.26%)O0.176 H0.179 L0.176 C0.177 (+0.26%)O0.177 H0.178 L0.176 C0.177 (+0.19%)O0.177 H0.178 L0.176 C0.177 (+0.19%)-1.3%O0.177 H0.178 L0.175 C0.175 (-1.27%)O0.177 H0.178 L0.175 C0.175 (-1.27%)O0.175 H0.176 L0.175 C0.176 (+0.58%)O0.175 H0.176 L0.175 C0.176 (+0.58%)O0.176 H0.177 L0.176 C0.177 (+0.63%)O0.176 H0.177 L0.176 C0.177 (+0.63%)O0.177 H0.178 L0.177 C0.177 (+0.03%)O0.177 H0.178 L0.177 C0.177 (+0.03%)O0.177 H0.178 L0.177 C0.178 (+0.19%)O0.177 H0.178 L0.177 C0.178 (+0.19%)O0.177 H0.177 L0.176 C0.176 (-0.76%)O0.177 H0.177 L0.176 C0.176 (-0.76%)#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=555,577 · μ=22223.1 · σ=12632.5 · CV=0.57STEADY FLOWcumulative energy &nearr; · 50% by h=13013,75627,51341,26955,025μ = 2222316,917.3 · 30.7% peak16,917.3 · 30.7% peak39,862.6 · 72.4% peak39,862.6 · 72.4% peak22,466.3 · 40.8% peak22,466.3 · 40.8% peak18,188.7 · 33.1% peak18,188.7 · 33.1% peak36,955.9 · 67.2% peak36,955.9 · 67.2% peak55,025.255,025.2 · 100.0% peak55,025.2 · 100.0% peak12,155.7 · 22.1% peak12,155.7 · 22.1% peak9,425.1 · 17.1% peak9,425.1 · 17.1% peak10,569.8 · 19.2% peak10,569.8 · 19.2% peak15,877.5 · 28.9% peak15,877.5 · 28.9% peak21,763.9 · 39.6% peak21,763.9 · 39.6% peak12,282.6 · 22.3% peak12,282.6 · 22.3% peak41,042.4 · 74.6% peak41,042.4 · 74.6% peak16,845 · 30.6% peak16,845 · 30.6% peak8,705.7 · 15.8% peak8,705.7 · 15.8% peak10,022.2 · 18.2% peak10,022.2 · 18.2% peak16,264.7 · 29.6% peak16,264.7 · 29.6% peak19,642.5 · 35.7% peak19,642.5 · 35.7% peak19,922.5 · 36.2% peak19,922.5 · 36.2% peak19,718.6 · 35.8% peak19,718.6 · 35.8% peak32,327.5 · 58.8% peak32,327.5 · 58.8% peak9,382.1 · 17.1% peak9,382.1 · 17.1% peak39,559.4 · 71.9% peak39,559.4 · 71.9% peak37,281.5 · 67.8% peak37,281.5 · 67.8% peak13,372.1 · 24.3% peak13,372.1 · 24.3% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 555577 · peak 55025 · CV 0.57

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=0.0005 · σ=0.0057 · skew=-0.66 (left-skewed) · kurt=-0.70 (mesokurtic)65320 1-115.25bpbin -115.25bp · n=1 · 16.7% peakbin -115.25bp · n=1 · 16.7% peak 1-96.00bpbin -96.00bp · n=1 · 16.7% peakbin -96.00bp · n=1 · 16.7% peak 3-76.76bpbin -76.76bp · n=3 · 50.0% peakbin -76.76bp · n=3 · 50.0% peak 1-57.52bpbin -57.52bp · n=1 · 16.7% peakbin -57.52bp · n=1 · 16.7% peak-38.28bp 1-19.03bpbin -19.03bp · n=1 · 16.7% peakbin -19.03bp · n=1 · 16.7% peak 20.21bpbin 0.21bp · n=2 · 33.3% peakbin 0.21bp · n=2 · 33.3% peak 619.45bpbin 19.45bp · n=6 · 100.0% peakbin 19.45bp · n=6 · 100.0% peak 238.69bpbin 38.69bp · n=2 · 33.3% peakbin 38.69bp · n=2 · 33.3% peak 657.94bpbin 57.94bp · n=6 · 100.0% peakbin 57.94bp · n=6 · 100.0% peak77.18bp 196.42bpbin 96.42bp · n=1 · 16.7% peakbin 96.42bp · n=1 · 16.7% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 15 · negative 9
Q-Q plot · standardised rₜ vs N(0,1)
n=24 · skew=-0.63 · kurt=-0.46 · near 19 / mid 5 / far 0 · OLS slope=0.99 intercept=-0.00APPROXIMATELY NORMALUPPER TAIL NORMALMILDLY HEAVY LOWER-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
$0.1758
Mid price
$0.1758
24h change
+1.19%
Mark–mid spread
0.00 bps
Prev-day close
$0.1738

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25APPROXIMATELY NORMAL · WELL-BEHAVED
μ MEAN0.1761$95% CI: [0.1757$, 0.1765$]
σ STD DEV0.0011$σ² = 0.012×10⁻⁴ · CV = 0.61%
med MEDIAN0.1761$Q₁ 0.1754$ · Q₃ 0.1769$
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.1738$Q₁ 0.1754$med 0.1761$Q₃ 0.1769$max 0.1782$μ
SKEWNESS · G₁-0.211approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-0.666mesokurtic · normal-like
−30+2+4+6
μ ↔ median≈ equal · symmetric|μ−med| / σ = 0.00
σ × 1.349 ↔ IQRconsistent with normalratio = 0.98
range ↔ σwide tails (range > 4σ)range / σ = 4.13
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=8.07
μᵣ MEAN / h+0.050763%drift is positive per h · |μ|/σ = 0.086
σᵣ STD / h0.588681%σ²ᵣ = 0.347×10⁻⁴ · CV = 11.60×
σ ANNUALISED55.10%/yrscaled by √8760 (hourly→yearly) · 0.589%/h base
RISK-ADJUSTED PERFORMANCE
SHARPE (annualised)8.07excellent · top-decile
-2-10+1+2+3+4
SORTINO (annualised)6.79strong downside-adjusted
-2-10+1+2+3+4
CALMAR (return / max-DD)100.00exceptional DD control
-20+2+4+6
RETURN-DISTRIBUTION SHAPE
SKEWNESS · G₁-0.68left-skewed · heavy negative tail
-3-10+1+3
EXCESS KURTOSIS · G₂-0.28mesokurtic · normal-like tails
-30+2+4+6
SORTINO vs SHARPEdownside drag · negatively skewedSoR / SR = 0.84
CALMAR · DD CONTROLdrawdown control exceptionalCR = 100.00
EXPECTED EDGE+444.68%/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 0.92%
VaR₉₅ (h)0.917%5% prob of larger adverse h move
VaR₉₉ (h)1.175%1% prob · extreme-tail threshold
ES₉₅ (CVaR)1.088%expected loss given 5% tail event
MAX DRAWDOWN1.97%8h from peak to trough
TAIL-RISK LADDER (h losses)
0 · no lossVaR₉₅0.917%VaR₉₉1.175%ES₉₅1.088%worst tail ←→ zero loss
MAX DRAWDOWN PROFILE
PEAK17.82$
1.97% drawdown over 8h
17.47$TROUGH
ES / VaR · TAIL THICKNESSmild tail heaviness|ES₉₅| / |VaR₉₅| = 1.19× (normal ≈ 1.25)
VaR₉₉ / VaR₉₅ · CONCENTRATIONuniform tailratio = 1.28× (normal ≈ 1.41)
DRAWDOWN · CAPITAL DURATIONmoderate drawdownrecovery needed: +2.01% (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)
52.8 · neutral
Bollinger %B
0.359 · within band
Bollinger upper
$0.1782
Bollinger MA
$0.1764
Bollinger lower
$0.1746

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ρ(1) -0.20 + ADF rejected
ρ(1) AUTOCORR-0.205within white-noise band
ρ(2) AUTOCORR-0.087lag-2 not significant
H · HURST EXPONENT1.023strongly persistent
OLS TREND · t-STAT+2.241significant @ α=0.05
HURST EXPONENT [0, 1]
H = 1.023STRONGLY 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=1-0.205k=2-0.087k=3-0.111k=4-0.038k=5+0.3360+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) -0.20 + ADF rejectedfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 1.00very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 5% (|t|=2.24)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)
$94.77k
Open interest (USD)
$111.52k
Vol / OI (turnover)
0.85x
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 1.06% · worst -1.25% · typical |Δ| 0.48%BULLISH SESSION +1.22%BEST+1.06%13hWORST-1.25%02hTYPICAL |Δ|0.48%mean absoluteCUMULATIVE+1.22%Σ signed ΔSTREAK↘ 1down-runASIA · 00-08 UTCμ -0.05% · Σ -0.37%EUROPE · 08-16 UTCμ +0.20% · Σ +1.63%US · 16-24 UTCμ -0.00% · Σ -0.04%CUMULATIVE Δ PATH · final +1.22%+2.53%0.00%0.32% · 08h0.32% · 08h0.32%08h0.60% · 09h0.60% · 09h0.60%09h-0.10% · 10h-0.10% · 10h-0.10%10h0.23% · 11h0.23% · 11h0.23%11h0.43% · 12h0.43% · 12h0.43%12h1.06% · 13h1.06% · 13h1.06%13h★ BEST-0.86% · 14h-0.86% · 14h-0.86%14h-0.05% · 15h-0.05% · 15h-0.05%15h-0.09% · 16h-0.09% · 16h-0.09%16h0.28% · 17h0.28% · 17h0.28%17h-0.48% · 18h-0.48% · 18h-0.48%18h-0.73% · 19h-0.73% · 19h-0.73%19h0.63% · 20h0.63% · 20h0.63%20h-0.68% · 21h-0.68% · 21h-0.68%21h0.53% · 22h0.53% · 22h0.53%22h0.52% · 23h0.52% · 23h0.52%23h0.18% · 00h0.18% · 00h0.18%00h0.24% · 01h0.24% · 01h0.24%01h-1.25% · 02h-1.25% · 02h-1.25%02h▼ WORST0.56% · 03h0.56% · 03h0.56%03h0.61% · 04h0.61% · 04h0.61%04h0.11% · 05h0.11% · 05h0.11%05h0.11% · 06h0.11% · 06h0.11%06h-0.93% · 07h-0.93% · 07h-0.93%07hTIME PATTERNEurope-led (+1.63%)RUNSup max 4 · down max 3BREADTH63% up · 38% down
15 up bars · 9 down · best 1.06% · worst -1.25% · typical |Δ| 0.481%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +1.19%FINAL+1.19%MAX DD-1.98%RECOVERYONGOING · 18 barsMAX RUN-UP+2.56%UNDERWATER19/25 (76%)STREAK↘ 1EQUITY CURVE · end 1.0119 · peak 1.0256 · range [1.0000, 1.0256]1.02561.0000break-even = 1★ PEAK 1.0256UNDERWATER DRAWDOWN · max -1.98% · moderate0%-1.98%▼ TROUGH -1.98%TOP DRAWDOWN PERIODS · 2 total#1 -1.98%bar 8-25 · 18 bars · ONGOING#2 -0.10%bar 4-4 · 1 bars · recoveredDD SEVERITYmoderate (max -1.98%)RECOVERYongoing · 18 barsTIME UNDER WATER76% of session · 19/25 bars
final equity 1.0119 (1.19%) · max DD -1.98% · time-under-water 19/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +11 / −8 (58% positive) · μ=7.33 · σ=33.91MIXED EDGELAST -15.80 (-0.68σ vs μ)101.5550.780.00-50.78-101.55μ = 7.33101.55101.5532.3732.3717.4317.4317.6017.6018.7518.75-3.36-3.36-68.65-68.65-14.20-14.20-30.64-30.64-11.66-11.66-5.37-5.3710.7910.7945.3145.31-10.19-10.1917.3117.3118.8618.8610.2510.258.838.83-15.80-15.80v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -15.796 · range [-68.65, 101.55] · μ 7.327 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=57.8133 · σ=9.5063 · range [36.4339, 72.7540] · R²=0.278 RISING +99.69%σ EXTREME 16.44%LAST 72.754072.754063.674054.594045.514036.4339μ = 57.8133max 72.7540min 36.4339dataMA(3)OLS R²=0.28μ lineμ ± σ bandmaxmin
latest 72.75% · range [36.43%, 72.75%] · μ 57.81% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +1 / −18 (5% positive) · μ=-0.275 · σ=0.178MEAN-REVERSIONLAST -0.072 (+1.14σ vs μ)0.5830.2920.000-0.292-0.583μ = -0.275-0.012-0.012-0.399-0.399-0.224-0.224-0.195-0.195-0.225-0.225-0.477-0.4770.0270.027-0.283-0.283-0.516-0.516-0.583-0.583-0.294-0.294-0.496-0.496-0.483-0.483-0.057-0.057-0.238-0.238-0.206-0.206-0.246-0.246-0.255-0.255-0.072-0.072v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.072 · |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
1.9118
p-VALUE (log scale)
0.3845
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
5.4734
p-VALUE (log scale)
0.3609
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedconsistent with white noise
Ψ

Dickey-Fuller (τ_μ)

REJECT H₀*

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

STATISTIC
-3.3158
p-VALUE (log scale)
0.0155
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
-0.1117
p-VALUE (log scale)
0.9111
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (12 runs)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.2755
p-VALUE (log scale)
0.2248
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
-1.2636
p-VALUE (log scale)
0.2064
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.615 ≈ 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=3.35e-5 · top T=2.40h (33.1%) · top-3 cover 65.0%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)1.3e-41.0e-46.6e-53.3e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 6.42e-6 · 1.6% energyperiod 24.0 · power 6.42e-6 · 1.6% energyperiod 12.0 · power 2.34e-5 · 5.8% energyperiod 12.0 · power 2.34e-5 · 5.8% energyperiod 8.0 · power 8.42e-6 · 2.1% energyperiod 8.0 · power 8.42e-6 · 2.1% energyperiod 6.0 · power 4.08e-5 · 10.2% energyperiod 6.0 · power 4.08e-5 · 10.2% energyperiod 4.8 · power 3.22e-5 · 8.0% energyperiod 4.8 · power 3.22e-5 · 8.0% energyperiod 4.0 · power 8.72e-5 · 21.7% energyperiod 4.0 · power 8.72e-5 · 21.7% energyperiod 3.4 · power 2.16e-5 · 5.4% energyperiod 3.4 · power 2.16e-5 · 5.4% energyperiod 3.0 · power 1.77e-6 · 0.4% energyperiod 3.0 · power 1.77e-6 · 0.4% energyperiod 2.7 · power 3.19e-5 · 7.9% energyperiod 2.7 · power 3.19e-5 · 7.9% energyperiod 2.4 · power 1.33e-4 · 33.1% energyperiod 2.4 · power 1.33e-4 · 33.1% energyperiod 2.2 · power 8.88e-6 · 2.2% energyperiod 2.2 · power 8.88e-6 · 2.2% energyperiod 2.0 · power 5.90e-6 · 1.5% energyperiod 2.0 · power 5.90e-6 · 1.5% energy50% by T=3.4h#1 dominantT=2.40h#2T=4.00h#3T=6.00hT=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 ≈ 2.40h (freq 0.417) · concentrates 33.1% of total energy · Σ|X̂|²/n = 4.015e-4

▸ Depth section using sovereign-store price series (4729 bars · effective 5249975 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)]
f★ empirical 3.00× · g(f★) 0.002%/barparametric μ/σ² 2.94× · μ 0.001% · σ 0.21%
μ per barmean
0.001%
σ per barvol
0.21%
Empirical f★argmax g(f)
3.00×
from observed distribution
Parametric f★μ/σ²
2.94×
Merton continuous-time
Half-Kelly½ f★
1.50×
~⅔ of full growth, half the variance
Quarter-Kelly¼ f★
0.75×
industry default — survives model error
-0.00%-0.00%-0.00%0.00%0.00%0.0×1.6×3.2×4.8×6.4×8.0×f★ empμ/σ²leverage 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 0.74× leverage
Median CAGR/bar 0.001% · annualized Sharpe 17.70400 paths × 720 bars · leverage 0.74× · bootstrap from 4728 observed returns
Sharpe / barμ/σ
0.008
annualized 17.70
μ per barafter L
0.001%
σ per barafter L
0.15%
VaR 95%5%
0.04%
per-bar worst-case
CVaR 95%ES
0.21%
mean tail loss
Max DD (median)MDD
-0.3%
0.90×0.94×0.99×1.04×1.09×1.13×0120240360480600720startbar #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 1000% · Sharpe 14.05σ ann 478% · Sortino 11.54 · n 4728 · ⚠ capped (n=4728 too small to support 8760-bar projection)
0%337%674%1011%1348%1685%1000.0%APR (simple)1000.0%APY (compound)477.7%Ann. vol σ1404.6%Sharpe (ann)1153.5%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%
0.1560.1660.1760.1860.1950.205t-4728t-3940t-3152t-2364t-1576t-788t-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
2026-06-20 07:56:37 UTC
Snapshot age
22.3s
History points
25 hourly closes
Page rendered
2026-06-20 07:57:00 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
031a7ac228139a39d90acb03d1575861c8e95b6844662a9d297b43fbd535d329 · 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
$0
bid $0 · ask $0
Depth within 10bp
$4.35K
bid $924 · ask $3.43K
Depth within 50bp
$39.73K
bid $16.14K · ask $23.58K
Mid price
0.175845
(best bid + best ask) / 2
Spread
14.2bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.123
ask-heavy
Imbalance (top-5)
-0.434
ask-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-sushi/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.1759767.45bp0.1759802FILLED
BUY$10.00K0.17608013.37bp0.1762107FILLED
BUY$100.00K0.17638230.52bp0.17725020PARTIAL
SELL$1.00K0.1757087.77bp0.1756403FILLED
SELL$10.00K0.17547321.15bp0.17532011FILLED
SELL$100.00K0.17514939.60bp0.17413020PARTIAL

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-sushi/carry · same metrics, JSON

Volume profile

real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$0.000000–$1.000025$555.58K

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

Order flow

BID-LEAN · +0.446 · Hyperliquid candles
Bars (buy / sell)
15 / 9
1 unclassified
Buy weight
$389.48K
real volume
Sell weight
$149.18K
real volume
Net delta
$240.29K
buyers net
Imbalance
44.61%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
44.6%
two-sided / balanced
Impact (|Δp|/vol)
needs real volume

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

Cascade clusters

DOWN · 4 found · deepest 1.26% · 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
#12026-06-19 19:00:00Z2.0h0.1769500.1747201.260%3
#22026-06-20 02:00:00Z1.0h0.1772900.1750901.241%2
#32026-06-19 14:00:00Z2.0h0.1782300.1764600.993%3

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

Risk metrics

sovereign store · 4,729 barsperiods/year ≈ 5.25M
Realized vol (annualised)
477.67%
σ per bar = 0.002085
Mean return (annualised)
6709.27%
μ per bar = 0.000013
Sharpe (rf=0)
14.05
annualised; risk-free assumed zero
Max drawdown
10.25%
peak 0.19 → trough 0.17 over 3940 bars

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