HYPERLIQUID · PERPETUAL FUTURES

BLUR

BLUR-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-blur · fresh · feed 1s old
24h sparkline · 60 pts -3.72%
realized vol (ann.)
51.20%
max drawdown
2.23%
sharpe
-54.20
ulcer index
1.02%
RMS drawdown
pain index
0.85%
mean drawdown
mod. VaR 95%
0.03%
Cornish-Fisher
martin ratio
-2718.21
ret / ulcer
CDaR 95%
2.07%
cond. drawdown
gain/pain
0.91
Σgain / Σ|loss|
sterling
-1342.79
ret / CDaR
omega (θ=0)
0.91
upside/downside
roll spread
0.3 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
-3.72%
flow lean
carry
shorts_pay
-12.05%
signalNEUTRALconfidence 33%
  • 24h change -3.72%
  • funding: shorts pay — perp longs get paid to wait
  • mark cheap vs HL oracle by 10.7bps — long bias
Same bundle via M2M API: /api/m2m/hl-blur/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH1.2s--:--:-- 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
$0.018
24h Δ · live
-3.72%
24h vol · live
$0.1M
BLUR · live 24h price
n=25 · μ=0.0182 · σ=0.0002 · range [0.0177, 0.0185] · R²=0.918 FALLING -4.15%σ NORMAL 1.32%LAST 0.01770.01850.01830.01810.01790.0177μ = 0.0182max 0.0185min 0.0177dataMA(5)OLS R²=0.92μ lineμ ± σ bandmaxminlive endpoint
25 closes · last $0.02
Funding direction · live
Long fee 48.2%Short fee 51.8%SHORT FEE51.8%
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
48.2% +0.00pp
Short fee
51.8% +0.00pp
1h funding -0.001375% · shorts pay
Hourly contract volume · live
n=25 · Σ=6,736,529 · μ=269461.2 · σ=101242.0 · CV=0.38STEADY FLOWcumulative energy ↗ · 50% by h=130128,967257,934386,900515,867μ = 269461515,86750%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 515867 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
snapshot age
1.2s
$mark $
$0.0177
$mid $
$0.0177
prev-day close
$0.0184
Δ24h Δ %
-3.716%
$24h vol $
$119.84k
open interest $
$527.31k
%funding (1h)
-0.001375%
%funding (yr)
-12.05%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=0.0182 · σ=0.0002 · range [0.0177, 0.0185] · R²=0.918 FALLING -4.15%σ NORMAL 1.32%LAST 0.01770.01850.01830.01810.01790.0177μ = 0.0182max 0.0185min 0.0177dataMA(5)OLS R²=0.92μ lineμ ± σ bandmaxmin
mark $0.0177 · 24h -3.72% · range $[0.0177, 0.0185]
OHLC candles · hourly
n=25 · up 11 · down 14 (44% up) · range [0.0177, 0.0186] · σ=0.0002 · CV=0.01 · bodyµ=42%BEARISH -4.04%CLOSE 0.0177 vs OPEN 0.0185 (-4.04%)&#9660; CLOSE 0.01770.01860.01840.01810.01790.0177μ close = 0.0182O0.018 H0.019 L0.018 C0.018 (+0.11%)O0.018 H0.019 L0.018 C0.018 (+0.11%)O0.018 H0.019 L0.018 C0.019 (+0.23%)O0.018 H0.019 L0.018 C0.019 (+0.23%)O0.019 H0.019 L0.018 C0.018 (-0.70%)O0.019 H0.019 L0.018 C0.018 (-0.70%)O0.018 H0.018 L0.018 C0.018 (+0.08%)O0.018 H0.018 L0.018 C0.018 (+0.08%)O0.018 H0.018 L0.018 C0.018 (-0.44%)O0.018 H0.018 L0.018 C0.018 (-0.44%)O0.018 H0.018 L0.018 C0.018 (+0.29%)O0.018 H0.018 L0.018 C0.018 (+0.29%)O0.018 H0.018 L0.018 C0.018 (-0.16%)O0.018 H0.018 L0.018 C0.018 (-0.16%)O0.018 H0.018 L0.018 C0.018 (+0.21%)O0.018 H0.018 L0.018 C0.018 (+0.21%)O0.018 H0.018 L0.018 C0.018 (-0.28%)O0.018 H0.018 L0.018 C0.018 (-0.28%)O0.018 H0.018 L0.018 C0.018 (+0.03%)O0.018 H0.018 L0.018 C0.018 (+0.03%)O0.018 H0.018 L0.018 C0.018 (-0.82%)O0.018 H0.018 L0.018 C0.018 (-0.82%)O0.018 H0.018 L0.018 C0.018 (-0.23%)O0.018 H0.018 L0.018 C0.018 (-0.23%)O0.018 H0.018 L0.018 C0.018 (-0.26%)O0.018 H0.018 L0.018 C0.018 (-0.26%)O0.018 H0.018 L0.018 C0.018 (+0.11%)O0.018 H0.018 L0.018 C0.018 (+0.11%)-1.0%O0.018 H0.018 L0.018 C0.018 (-0.97%)O0.018 H0.018 L0.018 C0.018 (-0.97%)O0.018 H0.018 L0.018 C0.018 (+0.42%)O0.018 H0.018 L0.018 C0.018 (+0.42%)O0.018 H0.018 L0.018 C0.018 (-0.76%)O0.018 H0.018 L0.018 C0.018 (-0.76%)O0.018 H0.018 L0.018 C0.018 (-0.13%)O0.018 H0.018 L0.018 C0.018 (-0.13%)O0.018 H0.018 L0.018 C0.018 (+0.51%)O0.018 H0.018 L0.018 C0.018 (+0.51%)O0.018 H0.018 L0.018 C0.018 (+0.30%)O0.018 H0.018 L0.018 C0.018 (+0.30%)O0.018 H0.018 L0.018 C0.018 (-0.69%)O0.018 H0.018 L0.018 C0.018 (-0.69%)O0.018 H0.018 L0.018 C0.018 (+0.14%)O0.018 H0.018 L0.018 C0.018 (+0.14%)O0.018 H0.018 L0.018 C0.018 (-0.22%)O0.018 H0.018 L0.018 C0.018 (-0.22%)O0.018 H0.018 L0.018 C0.018 (-0.07%)O0.018 H0.018 L0.018 C0.018 (-0.07%)O0.018 H0.018 L0.018 C0.018 (-0.96%)O0.018 H0.018 L0.018 C0.018 (-0.96%)#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=6,736,529 · μ=269461.2 · σ=101242.0 · CV=0.38STEADY FLOWcumulative energy &nearr; · 50% by h=130128,967257,934386,900515,867μ = 269461211,364 · 41.0% peak211,364 · 41.0% peak338,355 · 65.6% peak338,355 · 65.6% peak257,432 · 49.9% peak257,432 · 49.9% peak449,851 · 87.2% peak449,851 · 87.2% peak287,133 · 55.7% peak287,133 · 55.7% peak167,445 · 32.5% peak167,445 · 32.5% peak243,574 · 47.2% peak243,574 · 47.2% peak290,392 · 56.3% peak290,392 · 56.3% peak217,574 · 42.2% peak217,574 · 42.2% peak142,574 · 27.6% peak142,574 · 27.6% peak427,381 · 82.8% peak427,381 · 82.8% peak200,051 · 38.8% peak200,051 · 38.8% peak358,792 · 69.6% peak358,792 · 69.6% peak218,659 · 42.4% peak218,659 · 42.4% peak515,867515,867 · 100.0% peak515,867 · 100.0% peak307,539 · 59.6% peak307,539 · 59.6% peak160,239 · 31.1% peak160,239 · 31.1% peak123,522 · 23.9% peak123,522 · 23.9% peak332,814 · 64.5% peak332,814 · 64.5% peak278,224 · 53.9% peak278,224 · 53.9% peak118,635 · 23.0% peak118,635 · 23.0% peak229,316 · 44.5% peak229,316 · 44.5% peak224,380 · 43.5% peak224,380 · 43.5% peak360,847 · 69.9% peak360,847 · 69.9% peak274,569 · 53.2% peak274,569 · 53.2% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 6736529 · peak 515867 · CV 0.38

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=-0.0017 · σ=0.0039 · skew=-0.46 (symmetric) · kurt=-0.80 (mesokurtic)65320 2-94.49bpbin -94.49bp · n=2 · 33.3% peakbin -94.49bp · n=2 · 33.3% peak-82.34bp 2-70.19bpbin -70.19bp · n=2 · 33.3% peakbin -70.19bp · n=2 · 33.3% peak 2-58.04bpbin -58.04bp · n=2 · 33.3% peakbin -58.04bp · n=2 · 33.3% peak 1-45.90bpbin -45.90bp · n=1 · 16.7% peakbin -45.90bp · n=1 · 16.7% peak-33.75bp 3-21.60bpbin -21.60bp · n=3 · 50.0% peakbin -21.60bp · n=3 · 50.0% peak 6-9.46bpbin -9.46bp · n=6 · 100.0% peakbin -9.46bp · n=6 · 100.0% peak2.69bp 314.84bpbin 14.84bp · n=3 · 50.0% peakbin 14.84bp · n=3 · 50.0% peak 326.99bpbin 26.99bp · n=3 · 50.0% peakbin 26.99bp · n=3 · 50.0% peak 239.13bpbin 39.13bp · n=2 · 33.3% peakbin 39.13bp · n=2 · 33.3% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 8 · negative 16
Q-Q plot · standardised rₜ vs N(0,1)
n=24 · skew=-0.44 · kurt=-0.77 · near 22 / mid 2 / far 0 · OLS slope=1.00 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
$0.0177
Mid price
$0.0177
24h change
-3.72%
Mark–mid spread
0.00 bps
Prev-day close
$0.0184

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25PLATYKURTIC · THIN TAILS (G₂=-1.52)
μ MEAN0.0182$95% CI: [0.0181$, 0.0183$]
σ STD DEV0.0002$σ² = 0.001×10⁻⁴ · CV = 1.32%
med MEDIAN0.0182$Q₁ 0.0179$ · Q₃ 0.0184$
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.0177$Q₁ 0.0179$med 0.0182$Q₃ 0.0184$max 0.0185$μ
SKEWNESS · G₁-0.068approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.520platykurtic · thin tails
−30+2+4+6
μ ↔ median≈ equal · symmetric|μ−med| / σ = 0.01
σ × 1.349 ↔ IQRdiverges from normalratio = 0.72
range ↔ σconcentrated (range < 4σ)range / σ = 3.37
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=-39.51
μᵣ MEAN / h-0.176420%drift is negative per h · |μ|/σ = 0.422
σᵣ STD / h0.417878%σ²ᵣ = 0.175×10⁻⁴ · CV = 2.37×
σ ANNUALISED39.11%/yrscaled by √8760 (hourly→yearly) · 0.418%/h base
RISK-ADJUSTED PERFORMANCE
SHARPE (annualised)-39.51negative edge
-2-10+1+2+3+4
SORTINO (annualised)-32.56downside drag
-2-10+1+2+3+4
CALMAR (return / max-DD)-100.00drawdown overwhelms returns
-20+2+4+6
RETURN-DISTRIBUTION SHAPE
SKEWNESS · G₁-0.47approximately symmetric
-3-10+1+3
EXCESS KURTOSIS · G₂-0.66mesokurtic · normal-like tails
-30+2+4+6
SORTINO vs SHARPEdownside vol < total vol · favourableSoR / SR = 0.82
CALMAR · DD CONTROLdrawdown > returns · adverseCR = -100.00
EXPECTED EDGE-1545.44%/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)0.923%5% prob of larger adverse h move
VaR₉₉ (h)0.995%1% prob · extreme-tail threshold
ES₉₅ (CVaR)0.982%expected loss given 5% tail event
MAX DRAWDOWN4.37%23h from peak to trough
TAIL-RISK LADDER (h losses)
0 · no lossVaR₉₅0.923%VaR₉₉0.995%ES₉₅0.982%worst tail ←→ zero loss
MAX DRAWDOWN PROFILE
PEAK1.85$
4.37% drawdown over 23h
1.77$TROUGH
ES / VaR · TAIL THICKNESSthin tails · ES ≈ VaR|ES₉₅| / |VaR₉₅| = 1.06× (normal ≈ 1.25)
VaR₉₉ / VaR₉₅ · CONCENTRATIONuniform tailratio = 1.08× (normal ≈ 1.41)
DRAWDOWN · CAPITAL DURATIONmoderate drawdownrecovery needed: +4.57% (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)
23.9 · oversold
Bollinger %B
0.061 · within band
Bollinger upper
$0.0185
Bollinger MA
$0.0181
Bollinger lower
$0.0177

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ρ(1) -0.35 + ADF rejected
ρ(1) AUTOCORR-0.353within white-noise band
ρ(2) AUTOCORR+0.159lag-2 not significant
H · HURST EXPONENT0.790strongly persistent
OLS TREND · t-STAT-16.005significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.790STRONGLY 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=1-0.353k=2+0.159k=3-0.226k=4+0.352k=5-0.4940+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) -0.35 + ADF rejectedfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.93very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=16.00)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)
$119.84k
Open interest (USD)
$527.31k
Vol / OI (turnover)
0.23x
1h funding
-0.001375%
Funding (annualised)
-12.05%/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 0.45% · worst -1.01% · typical |Δ| 0.35%BEARISH SESSION -4.23%BEST+0.45%08hWORST-1.01%14hTYPICAL |Δ|0.35%mean absoluteCUMULATIVE-4.23%Σ signed ΔSTREAK↘ 3down-runASIA · 00-08 UTCμ -0.33% · Σ -2.62%EUROPE · 08-16 UTCμ -0.09% · Σ -0.70%US · 16-24 UTCμ -0.11% · Σ -0.92%CUMULATIVE Δ PATH · final -4.23%+0.23%-4.23%0.23% · 15h0.23% · 15h0.23%15h-0.58% · 16h-0.58% · 16h-0.58%16h0.10% · 17h0.10% · 17h0.10%17h-0.46% · 18h-0.46% · 18h-0.46%18h0.32% · 19h0.32% · 19h0.32%19h-0.15% · 20h-0.15% · 20h-0.15%20h0.20% · 21h0.20% · 21h0.20%21h-0.24% · 22h-0.24% · 22h-0.24%22h-0.11% · 23h-0.11% · 23h-0.11%23h-0.72% · 00h-0.72% · 00h-0.72%00h-0.08% · 01h-0.08% · 01h-0.08%01h-0.27% · 02h-0.27% · 02h-0.27%02h-0.07% · 03h-0.07% · 03h-0.07%03h-0.96% · 04h-0.96% · 04h-0.96%04h0.29% · 05h0.29% · 05h0.29%05h-0.64% · 06h-0.64% · 06h-0.64%06h-0.17% · 07h-0.17% · 07h-0.17%07h0.45% · 08h0.45% · 08h0.45%08h★ BEST0.36% · 09h0.36% · 09h0.36%09h-0.70% · 10h-0.70% · 10h-0.70%10h0.16% · 11h0.16% · 11h0.16%11h-0.10% · 12h-0.10% · 12h-0.10%12h-0.10% · 13h-0.10% · 13h-0.10%13h-1.01% · 14h-1.01% · 14h-1.01%14h▼ WORSTTIME PATTERNEurope-led (+-0.70%)RUNSup max 2 · down max 7BREADTH33% up · 67% down
8 up bars · 16 down · best 0.45% · worst -1.01% · typical |Δ| 0.352%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS WITH MODERATE DD (-4.17%)FINAL-4.17%MAX DD-4.39%RECOVERYONGOING · 23 barsMAX RUN-UP+0.23%UNDERWATER23/25 (92%)STREAK↘ 3EQUITY CURVE · end 0.9583 · peak 1.0023 · range [0.9583, 1.0023]1.00230.9583break-even = 1★ PEAK 1.0023UNDERWATER DRAWDOWN · max -4.39% · moderate0%-4.39%▼ TROUGH -4.39%TOP DRAWDOWN PERIODS · 1 total#1 -4.39%bar 3-25 · 23 bars · ONGOINGDD SEVERITYmoderate (max -4.39%)RECOVERYongoing · 23 barsTIME UNDER WATER92% of session · 23/25 bars
final equity 0.9583 (-4.17%) · max DD -4.39% · time-under-water 23/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +2 / −17 (11% positive) · μ=-37.83 · σ=28.45UNPROFITABLE STRATEGYLAST -41.56 (-0.13σ vs μ)93.9946.990.00-46.99-93.99μ = -37.83-22.71-22.71-24.38-24.38-12.17-12.17-23.76-23.76-29.83-29.83-56.59-56.59-62.67-62.67-93.99-93.99-90.53-90.53-60.89-60.89-59.93-59.93-64.07-64.07-31.55-31.55-17.72-17.72-12.19-12.19-16.94-16.940.000.002.732.73-41.56-41.56v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -41.561 · range [-93.99, 2.73] · μ -37.829 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=38.1890 · σ=9.0382 · range [23.1157, 54.6708] · R²=0.506 RISING +40.85%σ EXTREME 23.67%LAST 48.653054.670846.782038.893231.004423.1157μ = 38.1890max 54.6708min 23.1157dataMA(3)OLS R²=0.51μ lineμ ± σ bandmaxmin
latest 48.65% · range [23.12%, 54.67%] · μ 38.19% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +0 / −19 (0% positive) · μ=-0.428 · σ=0.224MEAN-REVERSIONLAST -0.362 (+0.30σ vs μ)0.8050.4020.000-0.402-0.805μ = -0.428-0.720-0.720-0.526-0.526-0.741-0.741-0.583-0.583-0.100-0.100-0.231-0.231-0.298-0.298-0.494-0.494-0.433-0.433-0.584-0.584-0.733-0.733-0.805-0.805-0.465-0.465-0.173-0.173-0.188-0.188-0.144-0.144-0.329-0.329-0.231-0.231-0.362-0.362v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.362 · |ρ| > 0.3 ⇒ regime with persistence (ρ > 0) or reversal (ρ < 0) · |ρ| ≤ 0.1 = consistent with random walk

§14 · Hypothesis tests (α = 0.05)

Formal inference at 5% significance
2 of 6 REJECT · mixed evidence2 reject·4 pass·α = 0.05
𝒩

Jarque-Bera

FAIL TO REJECTns

H₀: Δln-r ~ Normal(μ, σ²)

STATISTIC
1.3278
p-VALUE (log scale)
0.5148
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainednormality not rejected
ρ

Ljung-Box(h=5)

REJECT H₀**

H₀: No serial autocorrelation up to lag 5

STATISTIC
17.5076
p-VALUE (log scale)
0.0038
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
-0.1840
p-VALUE (log scale)
0.9346
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
1.1020
p-VALUE (log scale)
0.2705
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (14 runs)
χ

KPSS (μ stationarity)

REJECT H₀**

H₀: p IS level-stationary

STATISTIC
0.9101
p-VALUE (log scale)
0.0039
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
-1.4439
p-VALUE (log scale)
0.1488
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.561 ≈ 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=2.40e-5 · top T=2.00h (60.8%) · top-3 cover 83.2%STRONG CYCLE @ T≈2.0cumulative energy ↗ (1 bin above 2× noise)1.8e-41.3e-48.8e-54.4e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 9.98e-7 · 0.3% energyperiod 24.0 · power 9.98e-7 · 0.3% energyperiod 12.0 · power 2.42e-5 · 8.4% energyperiod 12.0 · power 2.42e-5 · 8.4% energyperiod 8.0 · power 2.48e-6 · 0.9% energyperiod 8.0 · power 2.48e-6 · 0.9% energyperiod 6.0 · power 5.47e-6 · 1.9% energyperiod 6.0 · power 5.47e-6 · 1.9% energyperiod 4.8 · power 6.22e-6 · 2.2% energyperiod 4.8 · power 6.22e-6 · 2.2% energyperiod 4.0 · power 7.26e-6 · 2.5% energyperiod 4.0 · power 7.26e-6 · 2.5% energyperiod 3.4 · power 4.03e-5 · 14.0% energyperiod 3.4 · power 4.03e-5 · 14.0% energyperiod 3.0 · power 1.27e-5 · 4.4% energyperiod 3.0 · power 1.27e-5 · 4.4% energyperiod 2.7 · power 2.09e-6 · 0.7% energyperiod 2.7 · power 2.09e-6 · 0.7% energyperiod 2.4 · power 9.98e-6 · 3.5% energyperiod 2.4 · power 9.98e-6 · 3.5% energyperiod 2.2 · power 1.25e-6 · 0.4% energyperiod 2.2 · power 1.25e-6 · 0.4% energyperiod 2.0 · power 1.75e-4 · 60.8% energyperiod 2.0 · power 1.75e-4 · 60.8% energy50% by T=2.0h#1 dominantT=2.00h#2T=3.43h#3T=12.00hT=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 60.8% of total energy · Σ|X̂|²/n = 2.886e-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
-79.67×
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 -36.61400 paths × 720 bars · leverage 0.10× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
-0.016
annualized -36.61
μ per barafter L
-0.000%
σ per barafter L
0.00%
VaR 95%5%
0.00%
per-bar worst-case
CVaR 95%ES
0.01%
mean tail loss
Max DD (median)MDD
-0.0%
0.95×0.97×0.99×1.01×1.03×1.05×0120240360480600720startbar #equity multiple
median25/75 band5/95 band
Median path with 25/75 and 5/95 percentile bands across 400 simulated careers. Bars resample with replacement from the observed return distribution — preserves fat tails the parametric model misses.

§19 · Annualized breakdown

Annualized return components
APR -1000% · APY -100% · Sharpe -38.12σ ann 48% · Sortino -27.05 · n 4999 · ⚠ capped (n=4999 too small to support 8760-bar projection)
-4575%-3648%-2722%-1795%-869%57%-1000.0%APR (simple)-100.0%APY (compound)47.9%Ann. vol σ-3812.3%Sharpe (ann)-2704.7%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%
0.0170.0170.0180.0180.0180.019t-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 14:48:51 UTC
Snapshot age
1.2s
History points
25 hourly closes
Page rendered
2026-06-14 14:48:52 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
f5ba455e24e9f51dfaf5567b70c8d956b5e3022edc561cccb15210bf9343df9d · 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
$2.42K
bid $833 · ask $1.59K
Depth within 50bp
$65.19K
bid $7.69K · ask $57.50K
Mid price
0.017719
(best bid + best ask) / 2
Spread
10.7bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.278
ask-heavy
Imbalance (top-5)
+0.392
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-blur/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.0177306.19bp0.0177335FILLED
BUY$10.00K0.01775922.56bp0.0177709FILLED
BUY$100.00K0.01782157.30bp0.01809820PARTIAL
SELL$1.00K0.0177077.05bp0.0176963FILLED
SELL$10.00K0.01766232.17bp0.01761811FILLED
SELL$100.00K0.017309231.65bp0.01692420PARTIAL

Funding carry

SHORTS PAY · longs receive
Hourly funding
-1.375e-5
-0.00138% / hr
Annualised APR
-12.054%
hourly · 24 · 365.25
Long: days to 1% carry
30.3d
longs receive
Short: days to 1% carry
30.3d
shorts pay
SideDirectionAnnualised carryDays → 1%Days → 10%
LONGRECEIVE12.054%30.3d303.0d
SHORTPAY-12.054%30.3d303.0d

/api/asset/hl-blur/carry · same metrics, JSON

Volume profile

real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$0.000000–$1.000025$6.74M

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

Order flow

ASK-LEAN · -0.266 · Hyperliquid candles
Bars (buy / sell)
8 / 16
1 unclassified
Buy weight
$2.39M
real volume
Sell weight
$4.13M
real volume
Net delta
$1.74M
sellers net
Imbalance
-26.62%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
26.6%
two-sided / balanced
Impact (|Δp|/vol)
needs real volume

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

Cascade clusters

DOWN · 6 found · deepest 1.80% · Hyperliquid candles

Price-only proxy for forced-unwind clusters. No exchange liquidation feed is wired — read each row as a candidate event, not a confirmed liquidation.

#WindowDurationPeak → TroughDrawdownBars
#12026-06-14 04:00:00Z3.0h0.0182040.0178771.796%4
#22026-06-14 00:00:00Z2.0h0.0184150.0181551.412%3
#32026-06-14 14:00:00Z0ms0.0179260.0177111.199%1

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

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
47.85%
σ per bar = 0.000209
Mean return (annualised)
-1824.32%
μ per bar = -0.000003
Sharpe (rf=0)
-38.12
annualised; risk-free assumed zero
Max drawdown
2.23%
peak 0.02 → trough 0.02 over 1380 bars

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