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HYPERLIQUID · PERPETUAL FUTURES

ARB

ARB-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-arb · fresh · feed 0s old
24h sparkline · 60 pts▼ -4.13%
realized vol (ann.)
47.41%
max drawdown
1.75%
sharpe
-52.34
ulcer index
0.86%
RMS drawdown
pain index
0.74%
mean drawdown
mod. VaR 95%
0.04%
Cornish-Fisher
martin ratio
-2898.90
ret / ulcer
CDaR 95%
1.53%
cond. drawdown
gain/pain
0.93
Σgain / Σ|loss|
sterling
-1618.64
ret / CDaR
omega (θ=0)
0.93
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
2000
store
spread
—
24h Δ
-4.13%
flow lean
—
carry
longs_pay
10.95%
signalSHORTconfidence 39%suggested side: SELL
  • 24h change -4.13%
  • funding: longs pay — perp shorts get paid to wait
  • mark cheap vs HL oracle by 7.3bps — long bias
Same bundle via M2M API: /api/m2m/hl-ARB/bundle · venue execution: hyperliquid →
LIVEPOLL0SRCFRESH291ms⏱--:--:-- 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
$0.082
24h Δ · live
-4.13%
24h vol · live
$1.2M
ARB · live 24h price
n=25 · μ=0.0841 · σ=0.0012 · range [0.0823, 0.0859] · R²=0.941▼ FALLING -3.83%σ NORMAL 1.38%LAST 0.08230.08590.08500.08410.08320.0823μ = 0.0841max 0.0859min 0.0823dataMA(5)OLS R²=0.94μ lineμ ± σ bandmaxminlive endpoint
25 closes · last $0.08
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=14,175,147 · μ=567005.9 · σ=332253.5 · CV=0.59STEADY FLOWcumulative energy ↗ · 50% by h=110339,745679,4911,019,2361,358,981μ = 5670061,358,981.450%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 1358981 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
⏱snapshot age
291ms
$mark $
$0.0822
$mid $
$0.0822
◉prev-day close
$0.0858
Δ24h Δ %
-4.127%
$24h vol $
$1.18M
◐open interest $
$3.55M
%funding (1h)
0.001250%
%funding (yr)
+10.95%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=0.0841 · σ=0.0012 · range [0.0823, 0.0859] · R²=0.941▼ FALLING -3.83%σ NORMAL 1.38%LAST 0.08230.08590.08500.08410.08320.0823μ = 0.0841max 0.0859min 0.0823dataMA(5)OLS R²=0.94μ lineμ ± σ bandmaxmin
mark $0.0822 · 24h -4.13% · range $[0.0823, 0.0859]
OHLC candles · hourly
n=25 · up 8 · down 17 (32% up) · range [0.0818, 0.0863] · σ=0.0012 · CV=0.01 · bodyµ=40%STRONG BEARISH -4.64%CLOSE 0.0823 vs OPEN 0.0863 (-4.64%)&#9660; CLOSE 0.08230.08630.08520.08410.08290.0818μ close = 0.0841O0.086 H0.086 L0.085 C0.086 (-0.83%)O0.086 H0.086 L0.085 C0.086 (-0.83%)O0.086 H0.086 L0.086 C0.086 (+0.14%)O0.086 H0.086 L0.086 C0.086 (+0.14%)O0.086 H0.086 L0.085 C0.085 (-0.29%)O0.086 H0.086 L0.085 C0.085 (-0.29%)O0.085 H0.086 L0.085 C0.086 (+0.07%)O0.085 H0.086 L0.085 C0.086 (+0.07%)O0.085 H0.086 L0.085 C0.085 (-0.11%)O0.085 H0.086 L0.085 C0.085 (-0.11%)O0.085 H0.086 L0.085 C0.086 (+0.60%)O0.085 H0.086 L0.085 C0.086 (+0.60%)O0.086 H0.086 L0.085 C0.085 (-0.66%)O0.086 H0.086 L0.085 C0.085 (-0.66%)O0.085 H0.086 L0.085 C0.085 (-0.25%)O0.085 H0.086 L0.085 C0.085 (-0.25%)-1.0%O0.085 H0.085 L0.084 C0.084 (-0.97%)O0.085 H0.085 L0.084 C0.084 (-0.97%)O0.084 H0.085 L0.084 C0.084 (-0.01%)O0.084 H0.085 L0.084 C0.084 (-0.01%)O0.084 H0.085 L0.084 C0.084 (-0.30%)O0.084 H0.085 L0.084 C0.084 (-0.30%)O0.084 H0.084 L0.084 C0.084 (+0.17%)O0.084 H0.084 L0.084 C0.084 (+0.17%)O0.084 H0.084 L0.083 C0.084 (-0.72%)O0.084 H0.084 L0.083 C0.084 (-0.72%)O0.084 H0.084 L0.083 C0.084 (+0.23%)O0.084 H0.084 L0.083 C0.084 (+0.23%)O0.084 H0.084 L0.083 C0.084 (-0.24%)O0.084 H0.084 L0.083 C0.084 (-0.24%)O0.084 H0.084 L0.083 C0.083 (-0.11%)O0.084 H0.084 L0.083 C0.083 (-0.11%)O0.083 H0.084 L0.083 C0.083 (-0.13%)O0.083 H0.084 L0.083 C0.083 (-0.13%)O0.083 H0.084 L0.083 C0.083 (+0.00%)O0.083 H0.084 L0.083 C0.083 (+0.00%)O0.083 H0.084 L0.083 C0.083 (-0.34%)O0.083 H0.084 L0.083 C0.083 (-0.34%)O0.083 H0.084 L0.083 C0.083 (+0.36%)O0.083 H0.084 L0.083 C0.083 (+0.36%)O0.083 H0.084 L0.083 C0.083 (-0.77%)O0.083 H0.084 L0.083 C0.083 (-0.77%)O0.083 H0.083 L0.083 C0.083 (+0.18%)O0.083 H0.083 L0.083 C0.083 (+0.18%)O0.083 H0.083 L0.082 C0.082 (-0.84%)O0.083 H0.083 L0.082 C0.082 (-0.84%)O0.082 H0.083 L0.082 C0.082 (-0.05%)O0.082 H0.083 L0.082 C0.082 (-0.05%)O0.082 H0.082 L0.082 C0.082 (-0.07%)O0.082 H0.082 L0.082 C0.082 (-0.07%)#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=14,175,147 · μ=567005.9 · σ=332253.5 · CV=0.59STEADY FLOWcumulative energy &nearr; · 50% by h=110339,745679,4911,019,2361,358,981μ = 5670061,076,870.9 · 79.2% peak1,076,870.9 · 79.2% peak820,375.6 · 60.4% peak820,375.6 · 60.4% peak467,526.6 · 34.4% peak467,526.6 · 34.4% peak601,123.2 · 44.2% peak601,123.2 · 44.2% peak391,345.2 · 28.8% peak391,345.2 · 28.8% peak848,093.6 · 62.4% peak848,093.6 · 62.4% peak574,003 · 42.2% peak574,003 · 42.2% peak231,890.1 · 17.1% peak231,890.1 · 17.1% peak1,358,981.41,358,981.4 · 100.0% peak1,358,981.4 · 100.0% peak438,014.7 · 32.2% peak438,014.7 · 32.2% peak323,920.4 · 23.8% peak323,920.4 · 23.8% peak981,768.5 · 72.2% peak981,768.5 · 72.2% peak1,262,621 · 92.9% peak1,262,621 · 92.9% peak483,762.2 · 35.6% peak483,762.2 · 35.6% peak338,074.6 · 24.9% peak338,074.6 · 24.9% peak329,543 · 24.2% peak329,543 · 24.2% peak572,277 · 42.1% peak572,277 · 42.1% peak393,356.7 · 28.9% peak393,356.7 · 28.9% peak174,012 · 12.8% peak174,012 · 12.8% peak289,076.2 · 21.3% peak289,076.2 · 21.3% peak618,793.8 · 45.5% peak618,793.8 · 45.5% peak498,662.8 · 36.7% peak498,662.8 · 36.7% peak756,998.8 · 55.7% peak756,998.8 · 55.7% peak177,165 · 13.0% peak177,165 · 13.0% peak166,890.7 · 12.3% peak166,890.7 · 12.3% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 14175147 · peak 1358981 · CV 0.59

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=-0.0015 · σ=0.0038 · skew=-0.37 (symmetric) · kurt=-0.57 (mesokurtic)43210 2-86.76bpbin -86.76bp · n=2 · 50.0% peakbin -86.76bp · n=2 · 50.0% peak 2-73.84bpbin -73.84bp · n=2 · 50.0% peakbin -73.84bp · n=2 · 50.0% peak 1-60.91bpbin -60.91bp · n=1 · 25.0% peakbin -60.91bp · n=1 · 25.0% peak-47.99bp 2-35.06bpbin -35.06bp · n=2 · 50.0% peakbin -35.06bp · n=2 · 50.0% peak 3-22.14bpbin -22.14bp · n=3 · 75.0% peakbin -22.14bp · n=3 · 75.0% peak 4-9.21bpbin -9.21bp · n=4 · 100.0% peakbin -9.21bp · n=4 · 100.0% peak 43.71bpbin 3.71bp · n=4 · 100.0% peakbin 3.71bp · n=4 · 100.0% peak 316.63bpbin 16.63bp · n=3 · 75.0% peakbin 16.63bp · n=3 · 75.0% peak 129.56bpbin 29.56bp · n=1 · 25.0% peakbin 29.56bp · n=1 · 25.0% peak 142.48bpbin 42.48bp · n=1 · 25.0% peakbin 42.48bp · n=1 · 25.0% peak 155.41bpbin 55.41bp · n=1 · 25.0% peakbin 55.41bp · n=1 · 25.0% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 10 · negative 14
Q-Q plot · standardised rₜ vs N(0,1)
n=24 · skew=-0.34 · kurt=-0.57 · near 21 / mid 3 / far 0 · OLS slope=1.01 intercept=-0.00MATCHES NORMAL · WELL-BEHAVEDUPPER 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
$0.0822
Mid price
$0.0822
24h change
-4.13%
Mark–mid spread
0.00 bps
Prev-day close
$0.0858

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25PLATYKURTIC · THIN TAILS (G₂=-1.37)
μ MEAN0.0841$95% CI: [0.0836$, 0.0845$]
σ STD DEV0.0012$σ² = 0.014×10⁻⁴ · CV = 1.38%
med MEDIAN0.0838$Q₁ 0.0834$ · Q₃ 0.0854$
FIVE-NUMBER SUMMARY · BOX PLOTrange 0.0037$ · IQR 0.0020$ (1.349σ→0.0016$)
min 0.0823$Q₁ 0.0834$med 0.0838$Q₃ 0.0854$max 0.0859$μ
SKEWNESS · G₁0.107approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.369platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.26
σ × 1.349 ↔ IQRdiverges from normalratio = 0.79
range ↔ σconcentrated (range < 4σ)range / σ = 3.15
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=-37.41
μᵣ MEAN / h-0.162894%drift is negative per h · |μ|/σ = 0.400
σᵣ STD / h0.407524%σ²ᵣ = 0.166×10⁻⁴ · CV = 2.50×
σ ANNUALISED38.14%/yrscaled by √8760 (hourly→yearly) · 0.408%/h base
RISK-ADJUSTED PERFORMANCEhigher = better edge per unit risk
SHARPE (annualised)-37.41negative edge
-2-10+1+2+3+4
SORTINO (annualised)-29.47downside drag
-2-10+1+2+3+4
CALMAR (return / max-DD)-100.00drawdown overwhelms returns
-20+2+4+6
RETURN-DISTRIBUTION SHAPE|skew| < 0.5 ≈ symmetric · |kurt| < 1 ≈ mesokurtic
SKEWNESS · G₁-0.36approximately symmetric
-3-10+1+3
EXCESS KURTOSIS · G₂-0.41mesokurtic · normal-like tails
-30+2+4+6
SORTINO vs SHARPEdownside vol < total vol · favourableSoR / SR = 0.79
CALMAR · DD CONTROLdrawdown > returns · adverseCR = -100.00
EXPECTED EDGE-1426.95%/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 0.84%
VaR₉₅ (h)0.839%5% prob of larger adverse h move
VaR₉₉ (h)0.913%1% prob · extreme-tail threshold
ES₉₅ (CVaR)0.890%expected loss given 5% tail event
MAX DRAWDOWN4.26%19h from peak to trough
TAIL-RISK LADDER (h losses)larger negative = worse · markers show severity
0 · no lossVaR₉₅−0.839%VaR₉₉−0.913%ES₉₅−0.890%worst tail ←→ zero loss
MAX DRAWDOWN PROFILEmoderate drawdown · 19h duration
PEAK8.59$
−4.26% drawdown over 19h
8.23$TROUGH
ES / VaR · TAIL THICKNESSthin tails · ES ≈ VaR|ES₉₅| / |VaR₉₅| = 1.06× (normal ≈ 1.25)
VaR₉₉ / VaR₉₅ · CONCENTRATIONuniform tailratio = 1.09× (normal ≈ 1.41)
DRAWDOWN · CAPITAL DURATIONmoderate drawdownrecovery needed: +4.45% (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)
24.9 · oversold
Bollinger %B
0.144 · within band
Bollinger upper
$0.0857
Bollinger MA
$0.0837
Bollinger lower
$0.0817

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ρ(1) -0.56 + ADF rejected
ρ(1) AUTOCORR-0.557negative · reversal
ρ(2) AUTOCORR+0.485lag-2 dependence detected
H · HURST EXPONENT0.862strongly persistent
OLS TREND · t-STAT-19.232significant @ α=0.05
HURST EXPONENT [0, 1]strongly persistent · H = 0.862
H = 0.862STRONGLY PERSISTENT
0
anti-persistent0.45
mean-reverting0.5
random walk0.55
persistent1
strongly trending
AUTOCORRELATION FUNCTION · ρ(k) for k=1..53 SIGNIFICANT LAGS · multi-lag dependence
k=1 ★-0.557k=2+0.485k=3-0.532k=4+0.367k=5-0.3140+1−1+0.41−0.41+ momentum (ρ > +0.41)− reversal (ρ < −0.41)noise (within band)±2/√n threshold
OLS TREND · t-STAT · [-5, +5]SIGNIFICANT @ 1% (|t|=19.23)
−5 reject−1.960 retain H₀+1.96+5 reject
REGIME CLASSIFICATIONMEAN-REVERTING · ρ(1) -0.56 + ADF rejectedfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 1.00very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=19.23)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)
$1.18M
Open interest (USD)
$3.55M
Vol / OI (turnover)
0.33x
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 0.62% · worst -0.93% · typical |Δ| 0.33%MILD BEARISH -3.91%BEST+0.62%21hWORST-0.93%00hTYPICAL |Δ|0.33%mean absoluteCUMULATIVE-3.91%Σ signed ΔSTREAK↘ 1down-runASIA · 00-08 UTCμ -0.25% · Σ -1.97%EUROPE · 08-16 UTCμ -0.17% · Σ -1.38%US · 16-24 UTCμ -0.07% · Σ -0.57%CUMULATIVE Δ PATH · final -3.91%+0.44%-3.91%0.22% · 17h0.22% · 17h0.22%17h-0.36% · 18h-0.36% · 18h-0.36%18h0.08% · 19h0.08% · 19h0.08%19h-0.12% · 20h-0.12% · 20h-0.12%20h0.62% · 21h0.62% · 21h0.62%21h★ BEST-0.67% · 22h-0.67% · 22h-0.67%22h-0.26% · 23h-0.26% · 23h-0.26%23h-0.93% · 00h-0.93% · 00h-0.93%00h▼ WORST0.01% · 01h0.01% · 01h0.01%01h-0.28% · 02h-0.28% · 02h-0.28%02h0.14% · 03h0.14% · 03h0.14%03h-0.77% · 04h-0.77% · 04h-0.77%04h0.20% · 05h0.20% · 05h0.20%05h-0.23% · 06h-0.23% · 06h-0.23%06h-0.11% · 07h-0.11% · 07h-0.11%07h-0.13% · 08h-0.13% · 08h-0.13%08h0.04% · 09h0.04% · 09h0.04%09h-0.32% · 10h-0.32% · 10h-0.32%10h0.36% · 11h0.36% · 11h0.36%11h-0.79% · 12h-0.79% · 12h-0.79%12h0.28% · 13h0.28% · 13h0.28%13h-0.85% · 14h-0.85% · 14h-0.85%14h0.05% · 15h0.05% · 15h0.05%15h-0.09% · 16h-0.09% · 16h-0.09%16hTIME PATTERNUS-led (+-0.57%)RUNSup max 1 · down max 3BREADTH42% up · 58% down
10 up bars · 14 down · best 0.62% · worst -0.93% · typical |Δ| 0.330%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS WITH MODERATE DD (-3.86%)FINAL-3.86%MAX DD-4.28%RECOVERYONGOING · 19 barsMAX RUN-UP+0.44%UNDERWATER22/25 (88%)STREAK↘ 1EQUITY CURVE · end 0.9614 · peak 1.0044 · range [0.9614, 1.0044]1.00440.9614break-even = 1★ PEAK 1.0044UNDERWATER DRAWDOWN · max -4.28% · moderate0%-4.28%▼ TROUGH -4.28%TOP DRAWDOWN PERIODS · 2 total#1 -4.28%bar 7-25 · 19 bars · ONGOING#2 -0.40%bar 3-5 · 3 bars · recoveredDD SEVERITYmoderate (max -4.28%)RECOVERYongoing · 19 barsTIME UNDER WATER88% of session · 22/25 bars
final equity 0.9614 (-3.86%) · max DD -4.28% · time-under-water 22/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +0 / −19 (0% positive) · μ=-40.45 · σ=16.53UNPROFITABLE STRATEGYLAST -30.83 (+0.58σ vs μ)76.8138.400.00-38.40-76.81μ = -40.45-7.69-7.69-24.98-24.98-36.09-36.09-38.55-38.55-43.56-43.56-76.39-76.39-76.81-76.81-52.77-52.77-40.17-40.17-46.35-46.35-40.05-40.05-46.89-46.89-45.68-45.68-25.53-25.53-38.96-38.96-21.13-21.13-38.31-38.31-37.85-37.85-30.83-30.83v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -30.830 · range [-76.81, -7.69] · μ -40.452 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=39.6726 · σ=9.6994 · range [17.6365, 51.4683] · R²=0.034▲ RISING +16.59%σ EXTREME 24.45%LAST 49.246451.468343.010334.552426.094417.6365μ = 39.6726max 51.4683min 17.6365dataMA(3)OLS R²=0.03μ lineμ ± σ bandmaxmin
latest 49.25% · range [17.64%, 51.47%] · μ 39.67% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +0 / −19 (0% positive) · μ=-0.543 · σ=0.204MEAN-REVERSIONLAST -0.755 (-1.04σ vs μ)0.8340.4170.000-0.417-0.834μ = -0.543-0.586-0.586-0.390-0.390-0.143-0.143-0.278-0.278-0.370-0.370-0.288-0.288-0.462-0.462-0.551-0.551-0.757-0.757-0.763-0.763-0.711-0.711-0.435-0.435-0.405-0.405-0.459-0.459-0.594-0.594-0.793-0.793-0.737-0.737-0.834-0.834-0.755-0.755v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.755 · |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
3 of 6 REJECT · mixed evidence3 reject·3 pass·α = 0.05
𝒩

Jarque-Bera

FAIL TO REJECTns

H₀: Δln-r ~ Normal(μ, σ²)

STATISTIC
0.6993
p-VALUE (log scale)
0.7049
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
30.9516
p-VALUE (log scale)
< 0.0001
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zoneserial dependence detected
Ψ

Dickey-Fuller (τ_μ)

FAIL TO REJECTns

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

STATISTIC
-0.4439
p-VALUE (log scale)
0.8991
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedrandom-walk behaviour (crit ≈ -2.86)
±

Wald-Wolfowitz runs

REJECT H₀**

H₀: Sign sequence of Δ is random

STATISTIC
3.1527
p-VALUE (log scale)
0.0016
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-random sign pattern (20 runs)
χ

KPSS (μ stationarity)

REJECT H₀**

H₀: p IS level-stationary

STATISTIC
0.8984
p-VALUE (log scale)
0.0041
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
-1.2931
p-VALUE (log scale)
0.1960
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.607 ≈ 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=2.49e-5 · top T=2.00h (72.0%) · top-3 cover 83.8%STRONG CYCLE @ T≈2.0cumulative energy ↗ (1 bin above 2× noise)2.1e-41.6e-41.1e-45.4e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 2.53e-6 · 0.8% energyperiod 24.0 · power 2.53e-6 · 0.8% energyperiod 12.0 · power 1.40e-5 · 4.7% energyperiod 12.0 · power 1.40e-5 · 4.7% energyperiod 8.0 · power 4.77e-6 · 1.6% energyperiod 8.0 · power 4.77e-6 · 1.6% energyperiod 6.0 · power 5.65e-6 · 1.9% energyperiod 6.0 · power 5.65e-6 · 1.9% energyperiod 4.8 · power 2.00e-5 · 6.7% energyperiod 4.8 · power 2.00e-5 · 6.7% energyperiod 4.0 · power 5.12e-6 · 1.7% energyperiod 4.0 · power 5.12e-6 · 1.7% energyperiod 3.4 · power 1.39e-6 · 0.5% energyperiod 3.4 · power 1.39e-6 · 0.5% energyperiod 3.0 · power 1.94e-6 · 0.6% energyperiod 3.0 · power 1.94e-6 · 0.6% energyperiod 2.7 · power 1.51e-5 · 5.0% energyperiod 2.7 · power 1.51e-5 · 5.0% energyperiod 2.4 · power 1.22e-5 · 4.1% energyperiod 2.4 · power 1.22e-5 · 4.1% energyperiod 2.2 · power 7.88e-7 · 0.3% energyperiod 2.2 · power 7.88e-7 · 0.3% energyperiod 2.0 · power 2.15e-4 · 72.0% energyperiod 2.0 · power 2.15e-4 · 72.0% energy50% by T=2.0h#1 dominantT=2.00h#2T=4.80h#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 ≈ 2.00h (freq 0.500) · concentrates 72.0% of total energy · Σ|X̂|²/n = 2.985e-4

▸ 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 -0.000% 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
-96.64×
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 -34.76400 paths × 720 bars · leverage 0.10× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
-0.015
annualized -34.76
μ per barafter L
-0.000%
σ per barafter L
0.00%
VaR 95%5%
0.00%
per-bar worst-case
CVaR 95%ES
0.00%
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 -1000% · APY -100% · Sharpe -38.37σ ann 40% · Sortino -24.97 · n 4999 · ⚠ capped (n=4999 too small to support 8760-bar projection)
-4605%-3674%-2744%-1813%-883%48%-1000.0%APR (simple)-100.0%APY (compound)39.7%Ann. vol σ-3837.3%Sharpe (ann)-2497.2%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 = 1.000% · long-run σ = 2.236%
0.0790.0800.0820.0840.0850.087t-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

Upstream
api.hyperliquid.xyz
Snapshot fetched
2026-06-14 16:18:18 UTC
Snapshot age
291ms
History points
25 hourly closes
Page rendered
2026-06-14 16:18:19 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
51e35797ea94d12725e07777a2883bd96bf2be261786eaba487a3ac376071117 · 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

HL PREDGermany94.1¢HL PREDSpain89.6¢HL PREDUruguay66.9¢HL PERPBTC-USD perpetual$64,069.5HL PERPETH-USD perpetual$1,664.45HL PERPHYPE-USD perpetual$60.29

Also see: /arb opportunities · RSS feed

Market depth

▸ live order book · Hyperliquid perp
Depth within 1bp
$0
bid $0 · ask $0
Depth within 5bp
$13.43K
bid $6.92K · ask $6.52K
Depth within 10bp
$69.99K
bid $38.59K · ask $31.40K
Depth within 50bp
$313.98K
bid $171.71K · ask $142.27K
Mid price
0.082230
(best bid + best ask) / 2
Spread
2.4bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
+0.095
bid-heavy
Imbalance (top-5)
+0.442
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-ARB/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.0822401.22bp0.0822401FILLED
BUY$10.00K0.0822654.20bp0.0822805FILLED
BUY$100.00K0.08234013.42bp0.08240017FILLED
SELL$1.00K0.0822112.28bp0.0822102FILLED
SELL$10.00K0.0821914.72bp0.0821805FILLED
SELL$100.00K0.08212612.59bp0.08207015FILLED

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-ARB/carry · same metrics, JSON

Volume profile

▸ real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$0.000000–$1.0000★25$14.18M

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

Order flow

▸ ASK-LEAN · -0.155 · Hyperliquid candles
Bars (buy / sell)
10 / 14
1 unclassified
Buy weight
$5.53M
real volume
Sell weight
$7.57M
real volume
Net delta
$2.04M
sellers net
Imbalance
-15.54%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
15.5%
two-sided / balanced
Impact (|Δp|/vol)
—
needs real volume

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

Cascade clusters

▸ DOWN · 3 found · deepest 2.11% · 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
#12026-06-13 22:00:00Z4.0h0.085930→0.0841202.106%5
#22026-06-14 12:00:00Z4.0h0.083430→0.0822701.390%5
#32026-06-14 04:00:00Z2.0h0.084360→0.0835700.936%3

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

Risk metrics

▸ sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
39.71%
σ per bar = 0.000173
Mean return (annualised)
-1523.61%
μ per bar = -0.000003
Sharpe (rf=0)
-38.37
annualised; risk-free assumed zero
Max drawdown
2.36%
peak 0.08 → trough 0.08 over 3628 bars

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