HYPERLIQUID · PERPETUAL FUTURES

W

W-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-w · fresh · feed 3s old
24h sparkline · 60 pts -0.20%
realized vol (ann.)
127.96%
max drawdown
1.62%
sharpe
14.82
ulcer index
0.92%
RMS drawdown
pain index
0.82%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
2055.13
ret / ulcer
CDaR 95%
1.44%
cond. drawdown
gain/pain
1.05
Σgain / Σ|loss|
sterling
1318.06
ret / CDaR
omega (θ=0)
1.05
upside/downside
roll spread
4.0 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
-0.20%
flow lean
carry
longs_pay
10.95%
signalNEUTRALconfidence 36%
  • funding: longs pay — perp shorts get paid to wait
  • mark cheap vs HL oracle by 20.5bps — long bias
Same bundle via M2M API: /api/m2m/hl-w/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH3.4s--:--:-- UTC8NEXT8.0sUP0s--:--HIST0/30
▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC FRESH·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC FRESH·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·
MARK · live
$0.010
24h Δ · live
-0.20%
24h vol · live
$0.3M
W · live 24h price
n=25 · μ=0.0097 · σ=0.0001 · range [0.0096, 0.0098] · R²=0.153 RISING +0.31%σ LOW 0.63%LAST 0.00970.00980.00980.00970.00970.0096μ = 0.0097max 0.0098min 0.0096dataMA(5)OLS R²=0.15μ lineμ ± σ bandmaxminlive endpoint
25 closes · last $0.01
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=26,594,471 · μ=1063778.8 · σ=1442154.0 · CV=1.36BURSTY · concentratedcumulative energy ↗ · 50% by h=1601,625,7873,251,5754,877,3626,503,149μ = 10637796,503,149.450%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 6503149 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
snapshot age
3.4s
$mark $
$0.0097
$mid $
$0.0097
prev-day close
$0.0098
Δ24h Δ %
-0.205%
$24h vol $
$255.13k
open interest $
$844.51k
%funding (1h)
0.001250%
%funding (yr)
+10.95%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=0.0097 · σ=0.0001 · range [0.0096, 0.0098] · R²=0.153 RISING +0.31%σ LOW 0.63%LAST 0.00970.00980.00980.00970.00970.0096μ = 0.0097max 0.0098min 0.0096dataMA(5)OLS R²=0.15μ lineμ ± σ bandmaxmin
mark $0.0097 · 24h -0.20% · range $[0.0096, 0.0098]
OHLC candles · hourly
n=25 · up 12 · down 13 (48% up) · range [0.0096, 0.0100] · σ=0.0001 · CV=0.01 · bodyµ=40%CONSOLIDATINGCLOSE 0.0097 vs OPEN 0.0097 (+0.00%)&#9650; CLOSE 0.00970.01000.00990.00980.00970.0096μ close = 0.0097O0.010 H0.010 L0.010 C0.010 (-0.31%)O0.010 H0.010 L0.010 C0.010 (-0.31%)O0.010 H0.010 L0.010 C0.010 (+0.21%)O0.010 H0.010 L0.010 C0.010 (+0.21%)O0.010 H0.010 L0.010 C0.010 (+0.51%)O0.010 H0.010 L0.010 C0.010 (+0.51%)O0.010 H0.010 L0.010 C0.010 (+0.62%)O0.010 H0.010 L0.010 C0.010 (+0.62%)O0.010 H0.010 L0.010 C0.010 (-0.31%)O0.010 H0.010 L0.010 C0.010 (-0.31%)O0.010 H0.010 L0.010 C0.010 (-0.31%)O0.010 H0.010 L0.010 C0.010 (-0.31%)O0.010 H0.010 L0.010 C0.010 (-0.51%)O0.010 H0.010 L0.010 C0.010 (-0.51%)O0.010 H0.010 L0.010 C0.010 (+0.41%)O0.010 H0.010 L0.010 C0.010 (+0.41%)O0.010 H0.010 L0.010 C0.010 (-0.61%)O0.010 H0.010 L0.010 C0.010 (-0.61%)O0.010 H0.010 L0.010 C0.010 (+0.51%)O0.010 H0.010 L0.010 C0.010 (+0.51%)O0.010 H0.010 L0.010 C0.010 (-0.20%)O0.010 H0.010 L0.010 C0.010 (-0.20%)O0.010 H0.010 L0.010 C0.010 (+0.31%)O0.010 H0.010 L0.010 C0.010 (+0.31%)O0.010 H0.010 L0.010 C0.010 (-0.41%)O0.010 H0.010 L0.010 C0.010 (-0.41%)O0.010 H0.010 L0.010 C0.010 (+0.51%)O0.010 H0.010 L0.010 C0.010 (+0.51%)O0.010 H0.010 L0.010 C0.010 (-0.41%)O0.010 H0.010 L0.010 C0.010 (-0.41%)O0.010 H0.010 L0.010 C0.010 (-0.10%)O0.010 H0.010 L0.010 C0.010 (-0.10%)O0.010 H0.010 L0.010 C0.010 (-0.72%)O0.010 H0.010 L0.010 C0.010 (-0.72%)O0.010 H0.010 L0.010 C0.010 (+0.10%)O0.010 H0.010 L0.010 C0.010 (+0.10%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.00%)O0.010 H0.010 L0.010 C0.010 (+0.41%)O0.010 H0.010 L0.010 C0.010 (+0.41%)O0.010 H0.010 L0.010 C0.010 (+0.10%)O0.010 H0.010 L0.010 C0.010 (+0.10%)1.3%O0.010 H0.010 L0.010 C0.010 (+1.34%)O0.010 H0.010 L0.010 C0.010 (+1.34%)O0.010 H0.010 L0.010 C0.010 (-0.82%)O0.010 H0.010 L0.010 C0.010 (-0.82%)O0.010 H0.010 L0.010 C0.010 (-0.10%)O0.010 H0.010 L0.010 C0.010 (-0.10%)O0.010 H0.010 L0.010 C0.010 (-0.10%)O0.010 H0.010 L0.010 C0.010 (-0.10%)#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=26,594,471 · μ=1063778.8 · σ=1442154.0 · CV=1.36BURSTY · concentratedcumulative energy &nearr; · 50% by h=1601,625,7873,251,5754,877,3626,503,149μ = 1063779930,575.3 · 14.3% peak930,575.3 · 14.3% peak726,621.8 · 11.2% peak726,621.8 · 11.2% peak426,411 · 6.6% peak426,411 · 6.6% peak218,206.6 · 3.4% peak218,206.6 · 3.4% peak2,421,316 · 37.2% peak2,421,316 · 37.2% peak1,026,441 · 15.8% peak1,026,441 · 15.8% peak437,362 · 6.7% peak437,362 · 6.7% peak895,231.3 · 13.8% peak895,231.3 · 13.8% peak531,051.6 · 8.2% peak531,051.6 · 8.2% peak615,256.6 · 9.5% peak615,256.6 · 9.5% peak75,542 · 1.2% peak75,542 · 1.2% peak393,768.2 · 6.1% peak393,768.2 · 6.1% peak316,272.4 · 4.9% peak316,272.4 · 4.9% peak488,170 · 7.5% peak488,170 · 7.5% peak26,846.8 · 0.4% peak26,846.8 · 0.4% peak6,503,149.46,503,149.4 · 100.0% peak6,503,149.4 · 100.0% peak552,988.5 · 8.5% peak552,988.5 · 8.5% peak518,166.6 · 8.0% peak518,166.6 · 8.0% peak2,268,188.9 · 34.9% peak2,268,188.9 · 34.9% peak661,473.2 · 10.2% peak661,473.2 · 10.2% peak44,704.4 · 0.7% peak44,704.4 · 0.7% peak3,945,760 · 60.7% peak3,945,760 · 60.7% peak871,035.5 · 13.4% peak871,035.5 · 13.4% peak1,653,430.1 · 25.4% peak1,653,430.1 · 25.4% peak46,501.4 · 0.7% peak46,501.4 · 0.7% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 26594471 · peak 6503149 · CV 1.36

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=-0.0001 · σ=0.0054 · skew=0.44 (symmetric) · kurt=-0.47 (mesokurtic)54310 2-82.77bpbin -82.77bp · n=2 · 40.0% peakbin -82.77bp · n=2 · 40.0% peak 3-63.97bpbin -63.97bp · n=3 · 60.0% peakbin -63.97bp · n=3 · 60.0% peak 1-45.17bpbin -45.17bp · n=1 · 20.0% peakbin -45.17bp · n=1 · 20.0% peak 3-26.38bpbin -26.38bp · n=3 · 60.0% peakbin -26.38bp · n=3 · 60.0% peak 5-7.58bpbin -7.58bp · n=5 · 100.0% peakbin -7.58bp · n=5 · 100.0% peak 411.22bpbin 11.22bp · n=4 · 80.0% peakbin 11.22bp · n=4 · 80.0% peak30.02bp 148.81bpbin 48.81bp · n=1 · 20.0% peakbin 48.81bp · n=1 · 20.0% peak 367.61bpbin 67.61bp · n=3 · 60.0% peakbin 67.61bp · n=3 · 60.0% peak 186.41bpbin 86.41bp · n=1 · 20.0% peakbin 86.41bp · n=1 · 20.0% peak105.21bp 1124.00bpbin 124.00bp · n=1 · 20.0% peakbin 124.00bp · n=1 · 20.0% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 10 · negative 10
Q-Q plot · standardised rₜ vs N(0,1)
n=24 · skew=0.39 · kurt=-0.12 · near 22 / mid 2 / far 0 · OLS slope=1.01 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
$0.0097
Mid price
$0.0097
24h change
-0.20%
Mark–mid spread
0.00 bps
Prev-day close
$0.0098

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25PLATYKURTIC · THIN TAILS (G₂=-1.03)
μ MEAN0.0097$95% CI: [0.0097$, 0.0098$]
σ STD DEV0.0001$σ² = 0.000×10⁻⁴ · CV = 0.63%
med MEDIAN0.0097$Q₁ 0.0097$ · Q₃ 0.0098$
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.0096$Q₁ 0.0097$med 0.0097$Q₃ 0.0098$max 0.0098$μ
SKEWNESS · G₁-0.347approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.026platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.14
σ × 1.349 ↔ IQRconsistent with normalratio = 0.92
range ↔ σconcentrated (range < 4σ)range / σ = 3.41
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-ADJUSTEDEXCELLENT · SR=2.19
μᵣ MEAN / h+0.012867%drift is positive per h · |μ|/σ = 0.023
σᵣ STD / h0.549035%σ²ᵣ = 0.301×10⁻⁴ · CV = 42.67×
σ ANNUALISED51.39%/yrscaled by √8760 (hourly→yearly) · 0.549%/h base
RISK-ADJUSTED PERFORMANCE
SHARPE (annualised)2.19excellent · top-decile
-2-10+1+2+3+4
SORTINO (annualised)2.21strong downside-adjusted
-2-10+1+2+3+4
CALMAR (return / max-DD)52.76exceptional DD control
-20+2+4+6
RETURN-DISTRIBUTION SHAPE
SKEWNESS · G₁0.41approximately symmetric
-3-10+1+3
EXCESS KURTOSIS · G₂0.15mesokurtic · normal-like tails
-30+2+4+6
SORTINO vs SHARPEdownside ≈ total vol · symmetricSoR / SR = 1.01
CALMAR · DD CONTROLdrawdown control exceptionalCR = 52.76
EXPECTED EDGE+112.71%/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 0.80%
VaR₉₅ (h)0.796%5% prob of larger adverse h move
VaR₉₉ (h)0.900%1% prob · extreme-tail threshold
ES₉₅ (CVaR)0.874%expected loss given 5% tail event
MAX DRAWDOWN2.14%9h from peak to trough
TAIL-RISK LADDER (h losses)
0 · no lossVaR₉₅0.796%VaR₉₉0.900%ES₉₅0.874%worst tail ←→ zero loss
MAX DRAWDOWN PROFILE
PEAK0.98$
2.14% drawdown over 9h
0.96$TROUGH
ES / VaR · TAIL THICKNESSthin tails · ES ≈ VaR|ES₉₅| / |VaR₉₅| = 1.10× (normal ≈ 1.25)
VaR₉₉ / VaR₉₅ · CONCENTRATIONuniform tailratio = 1.13× (normal ≈ 1.41)
DRAWDOWN · CAPITAL DURATIONmoderate drawdownrecovery needed: +2.18% (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
0.469 · within band
Bollinger upper
$0.0099
Bollinger MA
$0.0097
Bollinger lower
$0.0096

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ρ(1) -0.40 + ADF rejected
ρ(1) AUTOCORR-0.395within white-noise band
ρ(2) AUTOCORR+0.415lag-2 dependence detected
H · HURST EXPONENT0.900strongly persistent
OLS TREND · t-STAT-2.038significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.900STRONGLY 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=1-0.395k=2+0.415k=3-0.403k=4+0.263k=5-0.3890+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) -0.40 + 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|=2.04)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)
$255.13k
Open interest (USD)
$844.51k
Vol / OI (turnover)
0.30x
1h funding
0.001250%
Funding (annualised)
+10.95%/yr

§10 · Position sizing

Continuous Kelly (μ/σ²)
4.268× leverage · optimal log-utility leverage
Half-Kelly
2.134× · industry-standard conservative
Quarter-Kelly
1.067×

§11 · Hourly return heatmap

24-hour signed Δln-r grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 1.33% · worst -0.92% · typical |Δ| 0.41%MILD BULLISH +0.31%BEST+1.33%09hWORST-0.92%10hTYPICAL |Δ|0.41%mean absoluteCUMULATIVE+0.31%Σ signed ΔSTREAK↗ 1up-runASIA · 00-08 UTCμ -0.18% · Σ -1.44%EUROPE · 08-16 UTCμ +0.21% · Σ +1.64%US · 16-24 UTCμ +0.01% · Σ +0.10%CUMULATIVE Δ PATH · final +0.31%+1.33%-0.83%0.00% · 13h0.00% · 13h·13h0.72% · 14h0.72% · 14h0.72%14h0.41% · 15h0.41% · 15h0.41%15h-0.20% · 16h-0.20% · 16h-0.20%16h0.00% · 17h0.00% · 17h·17h-0.41% · 18h-0.41% · 18h-0.41%18h0.61% · 19h0.61% · 19h0.61%19h-0.61% · 20h-0.61% · 20h-0.61%20h0.82% · 21h0.82% · 21h0.82%21h-0.20% · 22h-0.20% · 22h-0.20%22h0.10% · 23h0.10% · 23h0.10%23h-0.61% · 00h-0.61% · 00h-0.61%00h0.20% · 01h0.20% · 01h0.20%01h-0.62% · 02h-0.62% · 02h-0.62%02h-0.10% · 03h-0.10% · 03h-0.10%03h-0.83% · 04h-0.83% · 04h-0.83%04h0.10% · 05h0.10% · 05h0.10%05h-0.21% · 06h-0.21% · 06h-0.21%06h0.62% · 07h0.62% · 07h0.62%07h0.00% · 08h0.00% · 08h·08h1.33% · 09h1.33% · 09h1.33%09h★ BEST-0.92% · 10h-0.92% · 10h-0.92%10h▼ WORST0.00% · 11h0.00% · 11h·11h0.10% · 12h0.10% · 12h0.10%12hTIME PATTERNEurope-led (+1.64%)RUNSup max 2 · down max 3BREADTH42% up · 42% down · 17% flat
10 up bars · 10 down · best 1.33% · worst -0.92% · typical |Δ| 0.406%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +0.27%FINAL+0.27%MAX DD-2.14%RECOVERYONGOING · 15 barsMAX RUN-UP+1.33%UNDERWATER20/25 (80%)STREAK↗ 1EQUITY CURVE · end 1.0027 · peak 1.0133 · range [0.9916, 1.0133]1.01330.9916break-even = 1★ PEAK 1.0133UNDERWATER DRAWDOWN · max -2.14% · moderate0%-2.14%▼ TROUGH -2.14%TOP DRAWDOWN PERIODS · 2 total#1 -2.14%bar 11-25 · 15 bars · ONGOING#2 -0.62%bar 5-9 · 5 bars · recoveredDD SEVERITYmoderate (max -2.14%)RECOVERYongoing · 15 barsTIME UNDER WATER80% of session · 20/25 bars
final equity 1.0027 (0.27%) · max DD -2.14% · time-under-water 20/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +10 / −9 (53% positive) · μ=-8.02 · σ=32.36MIXED EDGELAST 23.65 (+0.98σ vs μ)66.9833.490.00-33.49-66.98μ = -8.0219.4619.4638.2438.24-6.75-6.755.585.585.595.598.378.372.632.63-8.73-8.73-8.78-8.78-54.98-54.98-66.98-66.98-66.86-66.86-55.60-55.60-30.99-30.99-13.67-13.6721.6321.6318.9718.9716.8016.8023.6523.65v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 23.655 · range [-66.98, 38.24] · μ -8.021 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=51.1499 · σ=12.1489 · range [32.6171, 71.8307] · R²=0.275 RISING +81.93%σ EXTREME 23.75%LAST 70.175471.830762.027352.223942.420532.6171μ = 51.1499max 71.8307min 32.6171dataMA(3)OLS R²=0.27μ lineμ ± σ bandmaxmin
latest 70.18% · range [32.62%, 71.83%] · μ 51.15% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +1 / −18 (5% positive) · μ=-0.490 · σ=0.286MEAN-REVERSIONLAST -0.478 (+0.04σ vs μ)0.8310.4160.000-0.416-0.831μ = -0.4900.1460.146-0.036-0.036-0.635-0.635-0.688-0.688-0.808-0.808-0.831-0.831-0.612-0.612-0.583-0.583-0.353-0.353-0.826-0.826-0.654-0.654-0.749-0.749-0.596-0.596-0.220-0.220-0.160-0.160-0.130-0.130-0.573-0.573-0.516-0.516-0.478-0.478v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.478 · |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
0.7005
p-VALUE (log scale)
0.7045
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
21.0683
p-VALUE (log scale)
0.0009
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
-2.2700
p-VALUE (log scale)
0.1882
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedrandom-walk behaviour (crit ≈ -2.86)
±

Wald-Wolfowitz runs

FAIL TO REJECTns

H₀: Sign sequence of Δ is random

STATISTIC
1.8379
p-VALUE (log scale)
0.0661
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (15 runs)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.3116
p-VALUE (log scale)
0.1617
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
-0.6798
p-VALUE (log scale)
0.4966
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.793 ≈ 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=3.97e-5 · top T=2.00h (54.5%) · top-3 cover 71.4%STRONG CYCLE @ T≈2.0cumulative energy ↗ (1 bin above 2× noise)2.6e-41.9e-41.3e-46.5e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 2.36e-5 · 4.9% energyperiod 24.0 · power 2.36e-5 · 4.9% energyperiod 12.0 · power 1.24e-5 · 2.6% energyperiod 12.0 · power 1.24e-5 · 2.6% energyperiod 8.0 · power 2.94e-5 · 6.2% energyperiod 8.0 · power 2.94e-5 · 6.2% energyperiod 6.0 · power 3.44e-5 · 7.2% energyperiod 6.0 · power 3.44e-5 · 7.2% energyperiod 4.8 · power 2.03e-6 · 0.4% energyperiod 4.8 · power 2.03e-6 · 0.4% energyperiod 4.0 · power 3.89e-6 · 0.8% energyperiod 4.0 · power 3.89e-6 · 0.8% energyperiod 3.4 · power 1.57e-5 · 3.3% energyperiod 3.4 · power 1.57e-5 · 3.3% energyperiod 3.0 · power 1.46e-5 · 3.1% energyperiod 3.0 · power 1.46e-5 · 3.1% energyperiod 2.7 · power 2.16e-5 · 4.5% energyperiod 2.7 · power 2.16e-5 · 4.5% energyperiod 2.4 · power 4.63e-5 · 9.7% energyperiod 2.4 · power 4.63e-5 · 9.7% energyperiod 2.2 · power 1.28e-5 · 2.7% energyperiod 2.2 · power 1.28e-5 · 2.7% energyperiod 2.0 · power 2.60e-4 · 54.5% energyperiod 2.0 · power 2.60e-4 · 54.5% energy50% by T=2.0h#1 dominantT=2.00h#2T=2.40h#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 ≈ 2.00h (freq 0.500) · concentrates 54.5% of total energy · Σ|X̂|²/n = 4.766e-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)]
f★ empirical 3.40× · g(f★) 0.000%/barparametric μ/σ² 3.34× · μ 0.000% · σ 0.05%
μ per barmean
0.000%
σ per barvol
0.05%
Empirical f★argmax g(f)
3.40×
from observed distribution
Parametric f★μ/σ²
3.34×
Merton continuous-time
Half-Kelly½ f★
1.70×
~⅔ of full growth, half the variance
Quarter-Kelly¼ f★
0.85×
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 0.84× leverage
Median CAGR/bar 0.000% · annualized Sharpe 7.14400 paths × 720 bars · leverage 0.84× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
0.003
annualized 7.14
μ per barafter L
0.000%
σ per barafter L
0.04%
VaR 95%5%
0.09%
per-bar worst-case
CVaR 95%ES
0.09%
mean tail loss
Max DD (median)MDD
-0.1%
0.93×0.96×0.99×1.02×1.04×1.07×0120240360480600720startbar #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 433% · APY 1000% · Sharpe 3.80σ ann 114% · Sortino 1.74 · n 4999 · ⚠ capped (n=4999 too small to support 8760-bar projection)
0%240%480%720%960%1200%432.8%APR (simple)1000.0%APY (compound)113.8%Ann. vol σ380.4%Sharpe (ann)174.1%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%
0.0090.0090.0100.0100.0100.010t-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 12:17:46 UTC
Snapshot age
3.4s
History points
25 hourly closes
Page rendered
2026-06-14 12:17:49 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
2be839e1e1fde23b6320d79143f951a0f027a010bd8c7a7cb3aca3dfbd414a0c · 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
$0
bid $0 · ask $0
Depth within 50bp
$32.96K
bid $16.07K · ask $16.89K
Mid price
0.009740
(best bid + best ask) / 2
Spread
20.5bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.016
ask-heavy
Imbalance (top-5)
-0.000
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-w/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.00975010.27bp0.0097501FILLED
BUY$10.00K0.00975212.67bp0.0097602FILLED
BUY$100.00K0.009946211.28bp0.01022020PARTIAL
SELL$1.00K0.00973010.27bp0.0097301FILLED
SELL$10.00K0.00972416.65bp0.0097103FILLED
SELL$100.00K0.009564180.90bp0.00922020PARTIAL

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-w/carry · same metrics, JSON

Volume profile

real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$0.000000–$1.000025$26.59M

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

Order flow

ASK-LEAN · -0.338 · Hyperliquid candles
Bars (buy / sell)
11 / 12
2 unclassified
Buy weight
$8.25M
real volume
Sell weight
$16.68M
real volume
Net delta
$8.43M
sellers net
Imbalance
-33.80%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
33.8%
two-sided / balanced
Impact (|Δp|/vol)
needs real volume

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

Cascade clusters

DOWN · 5 found · deepest 2.04% · 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 02:00:00Z4.0h0.0098200.0096202.037%5
#22026-06-14 10:00:00Z2.0h0.0098100.0097200.917%3
#32026-06-14 00:00:00Z0ms0.0098300.0097600.712%1

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

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
113.78%
σ per bar = 0.000496
Mean return (annualised)
432.83%
μ per bar = 0.000001
Sharpe (rf=0)
3.80
annualised; risk-free assumed zero
Max drawdown
1.84%
peak 0.01 → trough 0.01 over 314 bars

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