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HYPERLIQUID · PERPETUAL FUTURES

PURR

PURR-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-purr · fresh · feed 4s old
24h sparkline · 60 pts 5.48%
realized vol (ann.)
59.94%
max drawdown
1.01%
sharpe
56.67
ulcer index
0.34%
RMS drawdown
pain index
0.26%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
10065.72
ret / ulcer
CDaR 95%
0.88%
cond. drawdown
gain/pain
1.24
Σgain / Σ|loss|
sterling
3866.46
ret / CDaR
omega (θ=0)
1.24
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
5.48%
flow lean
carry
longs_pay
10.95%
signalNEUTRALconfidence 30%
  • 24h change +5.48%
  • funding: longs pay — perp shorts get paid to wait
Same bundle via M2M API: /api/m2m/hl-PURR/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH3.7s--:--:-- 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
$0.104
24h Δ · live
5.48%
24h vol · live
$0.3M
PURR · live 24h price
n=25 · μ=0.1024 · σ=0.0018 · range [0.0984, 0.1049] · R²=0.157 RISING +5.44%σ NORMAL 1.71%LAST 0.10370.10490.10330.10160.10000.0984μ = 0.1024max 0.1049min 0.0984dataMA(5)OLS R²=0.16μ lineμ ± σ bandmaxminlive endpoint
25 closes · last $0.10
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=2,595,352 · μ=103814.1 · σ=96618.1 · CV=0.93BURSTYcumulative energy ↗ · 50% by h=9085,819171,639257,458343,277μ = 103814343,27750%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 343277 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
snapshot age
3.7s
$mark $
$0.1036
$mid $
$0.1035
prev-day close
$0.0982
Δ24h Δ %
+5.483%
$24h vol $
$261.61k
open interest $
$7.70M
%funding (1h)
0.001250%
%funding (yr)
+10.95%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=0.1024 · σ=0.0018 · range [0.0984, 0.1049] · R²=0.157 RISING +5.44%σ NORMAL 1.71%LAST 0.10370.10490.10330.10160.10000.0984μ = 0.1024max 0.1049min 0.0984dataMA(5)OLS R²=0.16μ lineμ ± σ bandmaxmin
mark $0.1036 · 24h 5.48% · range $[0.0984, 0.1049]
OHLC candles · hourly
n=25 · up 19 · down 6 (76% up) · range [0.0966, 0.1060] · σ=0.0018 · CV=0.02 · bodyµ=45%STRONG BULLISH +6.24%CLOSE 0.1037 vs OPEN 0.0976 (+6.24%)&#9650; CLOSE 0.10370.10600.10360.10130.09900.0966μ close = 0.1024O0.098 H0.099 L0.097 C0.098 (+0.75%)O0.098 H0.099 L0.097 C0.098 (+0.75%)O0.098 H0.099 L0.097 C0.099 (+0.47%)O0.098 H0.099 L0.097 C0.099 (+0.47%)3.1%O0.099 H0.102 L0.098 C0.102 (+3.08%)O0.099 H0.102 L0.098 C0.102 (+3.08%)O0.102 H0.102 L0.100 C0.102 (+0.11%)O0.102 H0.102 L0.100 C0.102 (+0.11%)O0.101 H0.102 L0.101 C0.102 (+0.66%)O0.101 H0.102 L0.101 C0.102 (+0.66%)O0.102 H0.105 L0.102 C0.102 (+0.12%)O0.102 H0.105 L0.102 C0.102 (+0.12%)O0.102 H0.105 L0.101 C0.105 (+2.47%)O0.102 H0.105 L0.101 C0.105 (+2.47%)O0.105 H0.106 L0.104 C0.105 (+0.23%)O0.105 H0.106 L0.104 C0.105 (+0.23%)O0.105 H0.106 L0.104 C0.105 (+0.36%)O0.105 H0.106 L0.104 C0.105 (+0.36%)O0.105 H0.105 L0.103 C0.104 (-0.78%)O0.105 H0.105 L0.103 C0.104 (-0.78%)O0.103 H0.105 L0.101 C0.101 (-2.34%)O0.103 H0.105 L0.101 C0.101 (-2.34%)O0.101 H0.103 L0.101 C0.102 (+1.23%)O0.101 H0.103 L0.101 C0.102 (+1.23%)O0.102 H0.103 L0.101 C0.103 (+0.31%)O0.102 H0.103 L0.101 C0.103 (+0.31%)O0.102 H0.103 L0.101 C0.102 (-0.76%)O0.102 H0.103 L0.101 C0.102 (-0.76%)O0.101 H0.102 L0.101 C0.101 (+0.24%)O0.101 H0.102 L0.101 C0.101 (+0.24%)O0.101 H0.101 L0.100 C0.100 (-1.27%)O0.101 H0.101 L0.100 C0.100 (-1.27%)O0.100 H0.101 L0.100 C0.101 (+0.57%)O0.100 H0.101 L0.100 C0.101 (+0.57%)O0.100 H0.103 L0.100 C0.103 (+2.89%)O0.100 H0.103 L0.100 C0.103 (+2.89%)O0.103 H0.104 L0.102 C0.104 (+0.42%)O0.103 H0.104 L0.102 C0.104 (+0.42%)O0.104 H0.104 L0.103 C0.103 (-0.75%)O0.104 H0.104 L0.103 C0.103 (-0.75%)O0.103 H0.103 L0.102 C0.103 (-0.51%)O0.103 H0.103 L0.102 C0.103 (-0.51%)O0.102 H0.104 L0.102 C0.103 (+1.02%)O0.102 H0.104 L0.102 C0.103 (+1.02%)O0.104 H0.104 L0.103 C0.104 (+0.38%)O0.104 H0.104 L0.103 C0.104 (+0.38%)O0.104 H0.104 L0.103 C0.104 (+0.07%)O0.104 H0.104 L0.103 C0.104 (+0.07%)O0.103 H0.104 L0.103 C0.104 (+0.22%)O0.103 H0.104 L0.103 C0.104 (+0.22%)#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=2,595,352 · μ=103814.1 · σ=96618.1 · CV=0.93BURSTYcumulative energy &nearr; · 50% by h=9085,819171,639257,458343,277μ = 10381447,090 · 13.7% peak47,090 · 13.7% peak84,278 · 24.6% peak84,278 · 24.6% peak310,379 · 90.4% peak310,379 · 90.4% peak158,383 · 46.1% peak158,383 · 46.1% peak75,736 · 22.1% peak75,736 · 22.1% peak337,446 · 98.3% peak337,446 · 98.3% peak100,582 · 29.3% peak100,582 · 29.3% peak46,641 · 13.6% peak46,641 · 13.6% peak179,442 · 52.3% peak179,442 · 52.3% peak100,424 · 29.3% peak100,424 · 29.3% peak343,277343,277 · 100.0% peak343,277 · 100.0% peak51,393 · 15.0% peak51,393 · 15.0% peak29,510 · 8.6% peak29,510 · 8.6% peak16,351 · 4.8% peak16,351 · 4.8% peak38,055 · 11.1% peak38,055 · 11.1% peak68,236 · 19.9% peak68,236 · 19.9% peak24,302 · 7.1% peak24,302 · 7.1% peak90,378 · 26.3% peak90,378 · 26.3% peak138,018 · 40.2% peak138,018 · 40.2% peak145,859 · 42.5% peak145,859 · 42.5% peak24,243 · 7.1% peak24,243 · 7.1% peak66,000 · 19.2% peak66,000 · 19.2% peak67,070 · 19.5% peak67,070 · 19.5% peak47,804 · 13.9% peak47,804 · 13.9% peak4,455 · 1.3% peak4,455 · 1.3% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 2595352 · peak 343277 · CV 0.93

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=0.0024 · σ=0.0121 · skew=0.25 (symmetric) · kurt=0.37 (mesokurtic)75420 1-251.76bpbin -251.76bp · n=1 · 14.3% peakbin -251.76bp · n=1 · 14.3% peak-202.43bp 1-153.11bpbin -153.11bp · n=1 · 14.3% peakbin -153.11bp · n=1 · 14.3% peak 2-103.78bpbin -103.78bp · n=2 · 28.6% peakbin -103.78bp · n=2 · 28.6% peak 2-54.45bpbin -54.45bp · n=2 · 28.6% peakbin -54.45bp · n=2 · 28.6% peak 7-5.12bpbin -5.12bp · n=7 · 100.0% peakbin -5.12bp · n=7 · 100.0% peak 544.21bpbin 44.21bp · n=5 · 71.4% peakbin 44.21bp · n=5 · 71.4% peak 293.53bpbin 93.53bp · n=2 · 28.6% peakbin 93.53bp · n=2 · 28.6% peak 1142.86bpbin 142.86bp · n=1 · 14.3% peakbin 142.86bp · n=1 · 14.3% peak192.19bp 2241.52bpbin 241.52bp · n=2 · 28.6% peakbin 241.52bp · n=2 · 28.6% peak 1290.85bpbin 290.85bp · n=1 · 14.3% peakbin 290.85bp · n=1 · 14.3% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 14 · negative 10
Q-Q plot · standardised rₜ vs N(0,1)
n=24 · skew=0.28 · kurt=0.75 · near 17 / mid 7 / far 0 · OLS slope=0.99 intercept=-0.00MATCHES NORMAL · WELL-BEHAVEDMILDLY HEAVY UPPERLOWER TAIL NORMAL-3σ-3σ-2σ-2σ-1σ-1σ+0σ+0σ+1σ+1σ+2σ+2σ+3σ+3σsample ↓marginal: sample bars + theoretical N(0,1) curve →theoretical Φ⁻¹(p) →↑ sample z-quantile|Δ| < 0.3σ · on the line|Δ| < 1σ · moderate|Δ| ≥ 1σ · outliery = x refOLS fit

§3 · Spot quote

Mark price
$0.1036
Mid price
$0.1035
24h change
+5.48%
Mark–mid spread
14.48 bps
Prev-day close
$0.0982

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25LEFT-SKEWED (G₁=-0.63)
μ MEAN0.1024$95% CI: [0.1017$, 0.1031$]
σ STD DEV0.0018$σ² = 0.031×10⁻⁴ · CV = 1.71%
med MEDIAN0.1025$Q₁ 0.1016$ · Q₃ 0.1037$
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.0984$Q₁ 0.1016$med 0.1025$Q₃ 0.1037$max 0.1049$μ
SKEWNESS · G₁-0.627left-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂-0.284mesokurtic · normal-like
−30+2+4+6
μ ↔ median≈ equal · symmetric|μ−med| / σ = 0.08
σ × 1.349 ↔ IQRconsistent with normalratio = 1.10
range ↔ σconcentrated (range < 4σ)range / σ = 3.75
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=16.09
μᵣ MEAN / h+0.220769%drift is positive per h · |μ|/σ = 0.172
σᵣ STD / h1.284180%σ²ᵣ = 1.649×10⁻⁴ · CV = 5.82×
σ ANNUALISED120.19%/yrscaled by √8760 (hourly→yearly) · 1.284%/h base
RISK-ADJUSTED PERFORMANCE
SHARPE (annualised)16.09excellent · top-decile
-2-10+1+2+3+4
SORTINO (annualised)18.20strong downside-adjusted
-2-10+1+2+3+4
CALMAR (return / max-DD)100.00exceptional DD control
-20+2+4+6
RETURN-DISTRIBUTION SHAPE
SKEWNESS · G₁0.30approximately symmetric
-3-10+1+3
EXCESS KURTOSIS · G₂1.23leptokurtic · fat tails
-30+2+4+6
SORTINO vs SHARPEdownside drag · negatively skewedSoR / SR = 1.13
CALMAR · DD CONTROLdrawdown control exceptionalCR = 100.00
EXPECTED EDGE+1933.94%/yr driftμ × 8760 = annualised expectation
rₜ = ln(pₜ/pₜ₋₁). σ × √8760 = annualised. Sharpe = μ/σ scaled; Sortino uses downside-only vol; Calmar = annual return / max drawdown.

§6 · Risk metrics

Tail risk + drawdown · downside diagnostics
TAIL & DRAWDOWN RISKHIGH · 95% VaR 1.49%
VaR₉₅ (h)1.492%5% prob of larger adverse h move
VaR₉₉ (h)2.488%1% prob · extreme-tail threshold
ES₉₅ (CVaR)2.164%expected loss given 5% tail event
MAX DRAWDOWN4.86%7h from peak to trough
TAIL-RISK LADDER (h losses)
0 · no lossVaR₉₅1.492%VaR₉₉2.488%ES₉₅2.164%worst tail ←→ zero loss
MAX DRAWDOWN PROFILE
PEAK10.49$
4.86% drawdown over 7h
9.98$TROUGH
ES / VaR · TAIL THICKNESSmild tail heaviness|ES₉₅| / |VaR₉₅| = 1.45× (normal ≈ 1.25)
VaR₉₉ / VaR₉₅ · CONCENTRATIONextreme-tail dominated · severe outliersratio = 1.67× (normal ≈ 1.41)
DRAWDOWN · CAPITAL DURATIONmoderate drawdownrecovery needed: +5.11% (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)
63.2 · neutral
Bollinger %B
0.650 · within band
Bollinger upper
$0.1057
Bollinger MA
$0.1029
Bollinger lower
$0.1000

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MARTINGALE · UNPREDICTABLE
ρ(1) AUTOCORR+0.059within white-noise band
ρ(2) AUTOCORR-0.209lag-2 not significant
H · HURST EXPONENT0.616persistent
OLS TREND · t-STAT+2.072significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.616PERSISTENT
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+0.059k=2-0.209k=3-0.134k=4+0.014k=5+0.3390+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 CLASSIFICATIONMARTINGALE · UNPREDICTABLEfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.29moderate · 1-step ahead inferrable|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 5% (|t|=2.07)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)
$261.61k
Open interest (USD)
$7.70M
Vol / OI (turnover)
0.03x
1h funding
0.001250%
Funding (annualised)
+10.95%/yr

§10 · Position sizing

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

§11 · Hourly return heatmap

24-hour signed Δln-r grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 3.16% · worst -2.76% · typical |Δ| 0.87%MILD BULLISH +5.30%BEST+3.16%13hWORST-2.76%21hTYPICAL |Δ|0.87%mean absoluteCUMULATIVE+5.30%Σ signed ΔSTREAK↘ 2down-runASIA · 00-08 UTCμ -0.01% · Σ -0.06%EUROPE · 08-16 UTCμ +0.60% · Σ +4.77%US · 16-24 UTCμ +0.07% · Σ +0.59%CUMULATIVE Δ PATH · final +5.30%+6.47%0.00%0.32% · 12h0.32% · 12h0.32%12h3.16% · 13h3.16% · 13h3.16%13h★ BEST-0.01% · 14h-0.01% · 14h-0.01%14h0.17% · 15h0.17% · 15h0.17%15h0.12% · 16h0.12% · 16h0.12%16h2.47% · 17h2.47% · 17h2.47%17h0.22% · 18h0.22% · 18h0.22%18h0.03% · 19h0.03% · 19h0.03%19h-1.08% · 20h-1.08% · 20h-1.08%20h-2.76% · 21h-2.76% · 21h-2.76%21h▼ WORST1.34% · 22h1.34% · 22h1.34%22h0.26% · 23h0.26% · 23h0.26%23h-1.01% · 00h-1.01% · 00h-1.01%00h-0.17% · 01h-0.17% · 01h-0.17%01h-1.56% · 02h-1.56% · 02h-1.56%02h0.87% · 03h0.87% · 03h0.87%03h2.52% · 04h2.52% · 04h2.52%04h0.35% · 05h0.35% · 05h0.35%05h-0.52% · 06h-0.52% · 06h-0.52%06h-0.53% · 07h-0.53% · 07h-0.53%07h0.77% · 08h0.77% · 08h0.77%08h0.55% · 09h0.55% · 09h0.55%09h-0.09% · 10h-0.09% · 10h-0.09%10h-0.10% · 11h-0.10% · 11h-0.10%11hTIME PATTERNEurope-led (+4.77%)RUNSup max 5 · down max 3BREADTH58% up · 42% down
14 up bars · 10 down · best 3.16% · worst -2.76% · typical |Δ| 0.874%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +5.24%FINAL+5.24%MAX DD-4.93%RECOVERYONGOING · 16 barsMAX RUN-UP+6.60%UNDERWATER17/25 (68%)STREAK↘ 2EQUITY CURVE · end 1.0524 · peak 1.0660 · range [1.0000, 1.0660]1.06601.0000break-even = 1★ PEAK 1.0660UNDERWATER DRAWDOWN · max -4.93% · moderate0%-4.93%▼ TROUGH -4.93%TOP DRAWDOWN PERIODS · 2 total#1 -4.93%bar 10-25 · 16 bars · ONGOING#2 -0.01%bar 4-4 · 1 bars · recoveredDD SEVERITYmoderate (max -4.93%)RECOVERYongoing · 16 barsTIME UNDER WATER68% of session · 17/25 bars
final equity 1.0524 (5.24%) · max DD -4.93% · time-under-water 17/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +13 / −6 (68% positive) · μ=11.56 · σ=33.32PROFITABLE STRATEGYLAST 2.22 (-0.28σ vs μ)69.5334.760.00-34.76-69.53μ = 11.5669.5369.5367.8267.8248.1748.1725.7625.76-9.21-9.211.751.75-21.97-21.97-35.66-35.66-38.19-38.19-42.11-42.11-3.78-3.789.839.8310.7210.7216.7116.7112.3112.3147.5847.5843.5043.5014.6914.692.222.22v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 2.223 · range [-42.11, 69.53] · μ 11.561 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=119.7681 · σ=30.8334 · range [50.6895, 171.1973] · R²=0.260 FALLING -61.19%σ EXTREME 25.74%LAST 50.6895171.1973141.0703110.943480.816550.6895μ = 119.7681max 171.1973min 50.6895dataMA(3)OLS R²=0.26μ lineμ ± σ bandmaxmin
latest 50.69% · range [50.69%, 171.20%] · μ 119.77% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +9 / −10 (47% positive) · μ=-0.030 · σ=0.197CLOSE TO MARTINGALELAST 0.165 (+0.99σ vs μ)0.3420.1710.000-0.171-0.342μ = -0.030-0.342-0.342-0.305-0.305-0.186-0.186-0.027-0.0270.2740.274-0.004-0.004-0.131-0.131-0.216-0.216-0.206-0.206-0.318-0.318-0.157-0.1570.1200.1200.1740.1740.1240.1240.1170.1170.2170.2170.1090.1090.0210.0210.1650.165v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 0.165 · |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
ALL TESTS PASS · data behaves as nominal0 reject·6 pass·α = 0.05
𝒩

Jarque-Bera

FAIL TO REJECTns

H₀: Δln-r ~ Normal(μ, σ²)

STATISTIC
1.8703
p-VALUE (log scale)
0.3925
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
5.6423
p-VALUE (log scale)
0.3424
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedconsistent with white noise
Ψ

Dickey-Fuller (τ_μ)

FAIL TO REJECTns

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

STATISTIC
-2.7972
p-VALUE (log scale)
0.0608
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
-1.1464
p-VALUE (log scale)
0.2516
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (10 runs)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.2257
p-VALUE (log scale)
0.3118
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
-0.2195
p-VALUE (log scale)
0.8263
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.933 ≈ 1 (RW behaviour)
Each row states an explicit null H₀, the test statistic, an approximated p-value, and the decision. REJECT means evidence against H₀. KPSS complements ADF (rejecting both ⇒ ambiguous; rejecting one ⇒ clean verdict).

§15 · Spectral analysis (DFT periodogram)

Power spectrum of Δln-r · ‖X̂(k)‖²/n
n=12 bins · noise floor μ=1.60e-4 · top T=4.80h (37.1%) · top-3 cover 58.9%1 SIGNIFICANT CYCLEcumulative energy ↗ (1 bin above 2× noise)7.1e-45.3e-43.6e-41.8e-40.0e+0μ noise floor2× noise (significance)period 24.0 · power 1.67e-4 · 8.7% energyperiod 24.0 · power 1.67e-4 · 8.7% energyperiod 12.0 · power 1.76e-4 · 9.2% energyperiod 12.0 · power 1.76e-4 · 9.2% energyperiod 8.0 · power 4.51e-6 · 0.2% energyperiod 8.0 · power 4.51e-6 · 0.2% energyperiod 6.0 · power 1.39e-4 · 7.2% energyperiod 6.0 · power 1.39e-4 · 7.2% energyperiod 4.8 · power 7.13e-4 · 37.1% energyperiod 4.8 · power 7.13e-4 · 37.1% energyperiod 4.0 · power 5.61e-5 · 2.9% energyperiod 4.0 · power 5.61e-5 · 2.9% energyperiod 3.4 · power 6.92e-6 · 0.4% energyperiod 3.4 · power 6.92e-6 · 0.4% energyperiod 3.0 · power 2.32e-4 · 12.1% energyperiod 3.0 · power 2.32e-4 · 12.1% energyperiod 2.7 · power 1.11e-4 · 5.8% energyperiod 2.7 · power 1.11e-4 · 5.8% energyperiod 2.4 · power 1.86e-4 · 9.7% energyperiod 2.4 · power 1.86e-4 · 9.7% energyperiod 2.2 · power 8.40e-5 · 4.4% energyperiod 2.2 · power 8.40e-5 · 4.4% energyperiod 2.0 · power 4.47e-5 · 2.3% energyperiod 2.0 · power 4.47e-5 · 2.3% energy50% by T=4.8h#1 dominantT=4.80h#2T=3.00h#3T=2.40hT=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 ≈ 4.80h (freq 0.208) · concentrates 37.1% of total energy · Σ|X̂|²/n = 1.919e-3

▸ Depth section using sovereign-store price series (5000 bars · effective 5256096 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 6.67× · g(f★) 0.003%/barparametric μ/σ² 4.13× · μ 0.001% · σ 0.16%
μ per barmean
0.001%
σ per barvol
0.16%
Empirical f★argmax g(f)
6.67×
from observed distribution
Parametric f★μ/σ²
4.13×
Merton continuous-time
Half-Kelly½ f★
3.33×
~⅔ of full growth, half the variance
Quarter-Kelly¼ f★
1.67×
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 1.03× leverage
Median CAGR/bar -0.001% · annualized Sharpe 12.78400 paths × 720 bars · leverage 1.03× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
0.006
annualized 12.78
μ per barafter L
0.001%
σ per barafter L
0.16%
VaR 95%5%
0.03%
per-bar worst-case
CVaR 95%ES
0.11%
mean tail loss
Max DD (median)MDD
-0.6%
0.92×0.97×1.02×1.07×1.12×1.16×0120240360480600720startbar #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 15.20σ ann 368% · Sortino 29.64 · n 4999 · ⚠ capped (n=4999 too small to support 8760-bar projection)
0%711%1423%2134%2845%3557%1000.0%APR (simple)1000.0%APY (compound)368.1%Ann. vol σ1519.6%Sharpe (ann)2964.0%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 = 1.004% · long-run σ = 2.236%
0.0890.0930.0980.1030.1080.113t-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
2026-06-20 11:38:44 UTC
Snapshot age
3.7s
History points
25 hourly closes
Page rendered
2026-06-20 11:38:49 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
e72b137f00072e637977cff51e72a35cb8c75b5b8ace0d1bc70c867878f24afa · 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
$2.36K
bid $1.21K · ask $1.15K
Mid price
0.103525
(best bid + best ask) / 2
Spread
39.6bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.327
ask-heavy
Imbalance (top-5)
+0.134
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-PURR/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.10398344.21bp0.1040307FILLED
BUY$10.00K0.10442486.82bp0.10475020PARTIAL
BUY$100.00K0.10442486.82bp0.10475020PARTIAL
SELL$1.00K0.10326425.25bp0.1031807FILLED
SELL$10.00K0.10298252.41bp0.10281020PARTIAL
SELL$100.00K0.10298252.41bp0.10281020PARTIAL

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-PURR/carry · same metrics, JSON

Volume profile

real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$0.000000–$1.000025$2.60M

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

Order flow

BID-LEAN · +0.257 · Hyperliquid candles
Bars (buy / sell)
14 / 10
1 unclassified
Buy weight
$1.60M
real volume
Sell weight
$947.09K
real volume
Net delta
$654.09K
buyers net
Imbalance
25.67%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
25.7%
two-sided / balanced
Impact (|Δp|/vol)
needs real volume

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

Cascade clusters

DOWN · 2 found · deepest 4.86% · 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 20:00:00Z7.0h0.1049300.0998264.864%8
#22026-06-20 06:00:00Z1.0h0.1036300.1025401.052%2

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

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
368.09%
σ per bar = 0.001606
Mean return (annualised)
5593.61%
μ per bar = 0.000011
Sharpe (rf=0)
15.20
annualised; risk-free assumed zero
Max drawdown
7.53%
peak 0.10 → trough 0.09 over 942 bars

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