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HYPERLIQUID · PERPETUAL FUTURES

XLM

XLM-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-xlm · fresh · feed 3s old
24h sparkline · 60 pts -4.15%
realized vol (ann.)
48.71%
max drawdown
2.11%
sharpe
-63.92
ulcer index
1.12%
RMS drawdown
pain index
0.94%
mean drawdown
mod. VaR 95%
0.03%
Cornish-Fisher
martin ratio
-2785.68
ret / ulcer
CDaR 95%
1.97%
cond. drawdown
gain/pain
0.91
Σgain / Σ|loss|
sterling
-1581.32
ret / CDaR
omega (θ=0)
0.91
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
-4.15%
flow lean
carry
shorts_pay
-57.76%
signalNEUTRALconfidence 34%
  • 24h change -4.15%
  • funding: shorts pay — perp longs get paid to wait
  • mark cheap vs HL oracle by 14.7bps — long bias
Same bundle via M2M API: /api/m2m/hl-xlm/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH3.2s--:--:-- 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
$0.184
24h Δ · live
-4.15%
24h vol · live
$1.3M
XLM · live 24h price
n=25 · μ=0.1871 · σ=0.0019 · range [0.1836, 0.1913] · R²=0.718 FALLING -3.92%σ NORMAL 1.03%LAST 0.18380.19130.18930.18740.18550.1836μ = 0.1871max 0.1913min 0.1836dataMA(5)OLS R²=0.72μ lineμ ± σ bandmaxminlive endpoint
25 closes · last $0.18
Funding direction · live
Long fee 49.6%Short fee 50.4%SHORT FEE50.4%
Σ = 0.0%
Σ-sides total = 0.01% (99.99pp arb gap)
H(p) entropy = 1.000 / 1.00 bits (100%) · max uncertainty (~50/50)
Long fee
49.6% +0.00pp
Short fee
50.4% +0.00pp
1h funding -0.006593% · shorts pay
Hourly contract volume · live
n=25 · Σ=7,120,921 · μ=284836.8 · σ=166639.4 · CV=0.59STEADY FLOWcumulative energy ↗ · 50% by h=110148,687297,374446,061594,748μ = 284837594,74850%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 594748 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
snapshot age
3.2s
$mark $
$0.1838
$mid $
$0.1838
prev-day close
$0.1917
Δ24h Δ %
-4.146%
$24h vol $
$1.32M
open interest $
$9.44M
%funding (1h)
-0.006593%
%funding (yr)
-57.76%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=0.1871 · σ=0.0019 · range [0.1836, 0.1913] · R²=0.718 FALLING -3.92%σ NORMAL 1.03%LAST 0.18380.19130.18930.18740.18550.1836μ = 0.1871max 0.1913min 0.1836dataMA(5)OLS R²=0.72μ lineμ ± σ bandmaxmin
mark $0.1838 · 24h -4.15% · range $[0.1836, 0.1913]
OHLC candles · hourly
n=25 · up 12 · down 13 (48% up) · range [0.1830, 0.1920] · σ=0.0019 · CV=0.01 · bodyµ=45%BEARISH -3.64%CLOSE 0.1838 vs OPEN 0.1907 (-3.64%)&#9660; CLOSE 0.18380.19200.18980.18750.18530.1830μ close = 0.1871O0.191 H0.192 L0.191 C0.191 (+0.29%)O0.191 H0.192 L0.191 C0.191 (+0.29%)O0.191 H0.191 L0.190 C0.190 (-0.57%)O0.191 H0.191 L0.190 C0.190 (-0.57%)O0.190 H0.190 L0.188 C0.189 (-0.82%)O0.190 H0.190 L0.188 C0.189 (-0.82%)O0.188 H0.189 L0.188 C0.189 (+0.38%)O0.188 H0.189 L0.188 C0.189 (+0.38%)O0.189 H0.191 L0.189 C0.191 (+1.00%)O0.189 H0.191 L0.189 C0.191 (+1.00%)-1.4%O0.191 H0.191 L0.188 C0.189 (-1.45%)O0.191 H0.191 L0.188 C0.189 (-1.45%)O0.189 H0.189 L0.186 C0.186 (-1.21%)O0.189 H0.189 L0.186 C0.186 (-1.21%)O0.186 H0.187 L0.186 C0.187 (+0.19%)O0.186 H0.187 L0.186 C0.187 (+0.19%)O0.187 H0.187 L0.186 C0.187 (-0.12%)O0.187 H0.187 L0.186 C0.187 (-0.12%)O0.187 H0.187 L0.186 C0.187 (+0.13%)O0.187 H0.187 L0.186 C0.187 (+0.13%)O0.187 H0.189 L0.186 C0.188 (+0.65%)O0.187 H0.189 L0.186 C0.188 (+0.65%)O0.188 H0.188 L0.187 C0.187 (-0.73%)O0.188 H0.188 L0.187 C0.187 (-0.73%)O0.187 H0.187 L0.186 C0.187 (+0.04%)O0.187 H0.187 L0.186 C0.187 (+0.04%)O0.187 H0.187 L0.186 C0.187 (-0.06%)O0.187 H0.187 L0.186 C0.187 (-0.06%)O0.187 H0.189 L0.186 C0.188 (+0.65%)O0.187 H0.189 L0.186 C0.188 (+0.65%)O0.188 H0.189 L0.186 C0.186 (-0.66%)O0.188 H0.189 L0.186 C0.186 (-0.66%)O0.186 H0.187 L0.185 C0.186 (-0.42%)O0.186 H0.187 L0.185 C0.186 (-0.42%)O0.186 H0.186 L0.185 C0.185 (-0.08%)O0.186 H0.186 L0.185 C0.185 (-0.08%)O0.185 H0.186 L0.185 C0.186 (+0.26%)O0.185 H0.186 L0.185 C0.186 (+0.26%)O0.186 H0.187 L0.186 C0.186 (+0.31%)O0.186 H0.187 L0.186 C0.186 (+0.31%)O0.186 H0.187 L0.186 C0.186 (+0.03%)O0.186 H0.187 L0.186 C0.186 (+0.03%)O0.187 H0.187 L0.186 C0.186 (-0.10%)O0.187 H0.187 L0.186 C0.186 (-0.10%)O0.186 H0.187 L0.185 C0.185 (-0.49%)O0.186 H0.187 L0.185 C0.185 (-0.49%)O0.185 H0.185 L0.183 C0.184 (-0.87%)O0.185 H0.185 L0.183 C0.184 (-0.87%)O0.183 H0.184 L0.183 C0.184 (+0.15%)O0.183 H0.184 L0.183 C0.184 (+0.15%)#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=7,120,921 · μ=284836.8 · σ=166639.4 · CV=0.59STEADY FLOWcumulative energy &nearr; · 50% by h=110148,687297,374446,061594,748μ = 28483789,754 · 15.1% peak89,754 · 15.1% peak382,583 · 64.3% peak382,583 · 64.3% peak125,122 · 21.0% peak125,122 · 21.0% peak121,023 · 20.3% peak121,023 · 20.3% peak387,226 · 65.1% peak387,226 · 65.1% peak577,228 · 97.1% peak577,228 · 97.1% peak406,806 · 68.4% peak406,806 · 68.4% peak136,191 · 22.9% peak136,191 · 22.9% peak522,403 · 87.8% peak522,403 · 87.8% peak594,748594,748 · 100.0% peak594,748 · 100.0% peak304,217 · 51.2% peak304,217 · 51.2% peak217,141 · 36.5% peak217,141 · 36.5% peak209,384 · 35.2% peak209,384 · 35.2% peak528,912 · 88.9% peak528,912 · 88.9% peak114,402 · 19.2% peak114,402 · 19.2% peak113,193 · 19.0% peak113,193 · 19.0% peak172,338 · 29.0% peak172,338 · 29.0% peak87,189 · 14.7% peak87,189 · 14.7% peak96,130 · 16.2% peak96,130 · 16.2% peak171,052 · 28.8% peak171,052 · 28.8% peak379,278 · 63.8% peak379,278 · 63.8% peak426,681 · 71.7% peak426,681 · 71.7% peak312,984 · 52.6% peak312,984 · 52.6% peak420,925 · 70.8% peak420,925 · 70.8% peak224,011 · 37.7% peak224,011 · 37.7% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 7120921 · peak 594748 · CV 0.59

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=-0.0017 · σ=0.0056 · skew=-0.27 (symmetric) · kurt=-0.77 (mesokurtic)65320 2-120.17bpbin -120.17bp · n=2 · 33.3% peakbin -120.17bp · n=2 · 33.3% peak 1-101.26bpbin -101.26bp · n=1 · 16.7% peakbin -101.26bp · n=1 · 16.7% peak 2-82.34bpbin -82.34bp · n=2 · 33.3% peakbin -82.34bp · n=2 · 33.3% peak 2-63.43bpbin -63.43bp · n=2 · 33.3% peakbin -63.43bp · n=2 · 33.3% peak 2-44.52bpbin -44.52bp · n=2 · 33.3% peakbin -44.52bp · n=2 · 33.3% peak-25.61bp 4-6.69bpbin -6.69bp · n=4 · 66.7% peakbin -6.69bp · n=4 · 66.7% peak 612.22bpbin 12.22bp · n=6 · 100.0% peakbin 12.22bp · n=6 · 100.0% peak 231.13bpbin 31.13bp · n=2 · 33.3% peakbin 31.13bp · n=2 · 33.3% peak 150.04bpbin 50.04bp · n=1 · 16.7% peakbin 50.04bp · n=1 · 16.7% peak 168.96bpbin 68.96bp · n=1 · 16.7% peakbin 68.96bp · n=1 · 16.7% peak 187.87bpbin 87.87bp · n=1 · 16.7% peakbin 87.87bp · n=1 · 16.7% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 13 · negative 11
Q-Q plot · standardised rₜ vs N(0,1)
n=24 · skew=-0.27 · kurt=-0.66 · near 21 / mid 3 / 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
$0.1838
Mid price
$0.1838
24h change
-4.15%
Mark–mid spread
0.54 bps
Prev-day close
$0.1917

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25RIGHT-SKEWED (G₁=0.50)
μ MEAN0.1871$95% CI: [0.1863$, 0.1878$]
σ STD DEV0.0019$σ² = 0.037×10⁻⁴ · CV = 1.03%
med MEDIAN0.1867$Q₁ 0.1863$ · Q₃ 0.1880$
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.1836$Q₁ 0.1863$med 0.1867$Q₃ 0.1880$max 0.1913$μ
SKEWNESS · G₁0.504right-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂-0.147mesokurtic · normal-like
−30+2+4+6
μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.19
σ × 1.349 ↔ IQRdiverges from normalratio = 1.51
range ↔ σwide tails (range > 4σ)range / σ = 4.01
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=-26.59
μᵣ MEAN / h-0.166671%drift is negative per h · |μ|/σ = 0.284
σᵣ STD / h0.586742%σ²ᵣ = 0.344×10⁻⁴ · CV = 3.52×
σ ANNUALISED54.92%/yrscaled by √8760 (hourly→yearly) · 0.587%/h base
RISK-ADJUSTED PERFORMANCE
SHARPE (annualised)-26.59negative edge
-2-10+1+2+3+4
SORTINO (annualised)-20.01downside drag
-2-10+1+2+3+4
CALMAR (return / max-DD)-100.00drawdown overwhelms returns
-20+2+4+6
RETURN-DISTRIBUTION SHAPE
SKEWNESS · G₁-0.28approximately symmetric
-3-10+1+3
EXCESS KURTOSIS · G₂-0.52mesokurtic · normal-like tails
-30+2+4+6
SORTINO vs SHARPEdownside vol < total vol · favourableSoR / SR = 0.75
CALMAR · DD CONTROLdrawdown > returns · adverseCR = -100.00
EXPECTED EDGE-1460.04%/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 1.15%
VaR₉₅ (h)1.151%5% prob of larger adverse h move
VaR₉₉ (h)1.271%1% prob · extreme-tail threshold
ES₉₅ (CVaR)1.240%expected loss given 5% tail event
MAX DRAWDOWN4.02%23h from peak to trough
TAIL-RISK LADDER (h losses)
0 · no lossVaR₉₅1.151%VaR₉₉1.271%ES₉₅1.240%worst tail ←→ zero loss
MAX DRAWDOWN PROFILE
PEAK19.13$
4.02% drawdown over 23h
18.36$TROUGH
ES / VaR · TAIL THICKNESSthin tails · ES ≈ VaR|ES₉₅| / |VaR₉₅| = 1.08× (normal ≈ 1.25)
VaR₉₉ / VaR₉₅ · CONCENTRATIONuniform tailratio = 1.10× (normal ≈ 1.41)
DRAWDOWN · CAPITAL DURATIONmoderate drawdownrecovery needed: +4.19% (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)
29.6 · oversold
Bollinger %B
-0.027 · below lower band
Bollinger upper
$0.1887
Bollinger MA
$0.1863
Bollinger lower
$0.1839

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ADF rejects unit root
ρ(1) AUTOCORR+0.001within white-noise band
ρ(2) AUTOCORR-0.453lag-2 dependence detected
H · HURST EXPONENT0.534random-walk
OLS TREND · t-STAT-7.656significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.534RANDOM-WALK
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+0.001k=2-0.453k=3-0.137k=4+0.115k=5+0.0420+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 · ADF rejects unit rootfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.07low · ~ unpredictable|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=7.66)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)
$1.32M
Open interest (USD)
$9.44M
Vol / OI (turnover)
0.14x
1h funding
-0.006593%
Funding (annualised)
-57.76%/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 0.97% · worst -1.30% · typical |Δ| 0.45%MILD BEARISH -4.00%BEST+0.97%15hWORST-1.30%16hTYPICAL |Δ|0.45%mean absoluteCUMULATIVE-4.00%Σ signed ΔSTREAK↗ 1up-runASIA · 00-08 UTCμ -0.02% · Σ -0.17%EUROPE · 08-16 UTCμ -0.20% · Σ -1.57%US · 16-24 UTCμ -0.28% · Σ -2.26%CUMULATIVE Δ PATH · final -4.00%+0.00%-4.10%-0.57% · 12h-0.57% · 12h-0.57%12h-0.87% · 13h-0.87% · 13h-0.87%13h0.33% · 14h0.33% · 14h0.33%14h0.97% · 15h0.97% · 15h0.97%15h★ BEST-1.30% · 16h-1.30% · 16h-1.30%16h▼ WORST-1.18% · 17h-1.18% · 17h-1.18%17h0.17% · 18h0.17% · 18h0.17%18h0.05% · 19h0.05% · 19h0.05%19h0.13% · 20h0.13% · 20h0.13%20h0.55% · 21h0.55% · 21h0.55%21h-0.69% · 22h-0.69% · 22h-0.69%22h0.02% · 23h0.02% · 23h0.02%23h0.01% · 00h0.01% · 00h0.01%00h0.62% · 01h0.62% · 01h0.62%01h-0.82% · 02h-0.82% · 02h-0.82%02h-0.40% · 03h-0.40% · 03h-0.40%03h-0.07% · 04h-0.07% · 04h-0.07%04h0.20% · 05h0.20% · 05h0.20%05h0.23% · 06h0.23% · 06h0.23%06h0.06% · 07h0.06% · 07h0.06%07h-0.04% · 08h-0.04% · 08h-0.04%08h-0.53% · 09h-0.53% · 09h-0.53%09h-0.96% · 10h-0.96% · 10h-0.96%10h0.10% · 11h0.10% · 11h0.10%11hTIME PATTERNAsia-led (+-0.17%)RUNSup max 4 · down max 3BREADTH54% up · 46% down
13 up bars · 11 down · best 0.97% · worst -1.30% · typical |Δ| 0.453%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS WITH MODERATE DD (-3.96%)FINAL-3.96%MAX DD-4.06%RECOVERYONGOING · 24 barsMAX RUN-UP+0.00%UNDERWATER24/25 (96%)STREAK↗ 1EQUITY CURVE · end 0.9604 · peak 1.0000 · range [0.9594, 1.0000]1.00000.9594break-even = 1★ PEAK 1.0000UNDERWATER DRAWDOWN · max -4.06% · moderate0%-4.06%▼ TROUGH -4.06%TOP DRAWDOWN PERIODS · 1 total#1 -4.06%bar 2-25 · 24 bars · ONGOINGDD SEVERITYmoderate (max -4.06%)RECOVERYongoing · 24 barsTIME UNDER WATER96% of session · 24/25 bars
final equity 0.9604 (-3.96%) · max DD -4.06% · time-under-water 24/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +3 / −16 (16% positive) · μ=-17.89 · σ=17.55UNPROFITABLE STRATEGYLAST -38.42 (-1.17σ vs μ)45.2222.610.00-22.61-45.22μ = -17.89-45.22-45.22-31.40-31.40-16.70-16.70-20.59-20.59-31.80-31.80-23.75-23.758.458.452.092.0920.6020.60-8.31-8.31-37.22-37.22-21.16-21.16-14.73-14.73-7.37-7.37-30.53-30.53-1.45-1.45-8.25-8.25-34.17-34.17-38.42-38.42v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -38.422 · range [-45.22, 20.60] · μ -17.891 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=53.0936 · σ=20.0323 · range [21.6082, 87.1244] · R²=0.670 FALLING -48.89%σ EXTREME 37.73%LAST 43.176787.124470.745354.366337.987321.6082μ = 53.0936max 87.1244min 21.6082dataMA(3)OLS R²=0.67μ lineμ ± σ bandmaxmin
latest 43.18% · range [21.61%, 87.12%] · μ 53.09% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +8 / −11 (42% positive) · μ=-0.032 · σ=0.286CLOSE TO MARTINGALELAST 0.122 (+0.54σ vs μ)0.4960.2480.000-0.248-0.496μ = -0.0320.0580.058-0.083-0.0830.0400.040-0.101-0.1010.3740.374-0.183-0.183-0.376-0.376-0.394-0.394-0.283-0.283-0.496-0.496-0.187-0.187-0.193-0.193-0.178-0.178-0.124-0.1240.4610.4610.2780.2780.2040.2040.4540.4540.1220.122v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 0.122 · |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
0.5919
p-VALUE (log scale)
0.7438
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
6.8569
p-VALUE (log scale)
0.2304
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
-1.9136
p-VALUE (log scale)
0.3364
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
-1.2264
p-VALUE (log scale)
0.2201
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (10 runs)
χ

KPSS (μ stationarity)

REJECT H₀**

H₀: p IS level-stationary

STATISTIC
0.8074
p-VALUE (log scale)
0.0068
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
-1.0548
p-VALUE (log scale)
0.2915
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.679 ≈ 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=3.48e-5 · top T=3.43h (26.8%) · top-3 cover 56.6%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)1.1e-48.4e-55.6e-52.8e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 1.72e-5 · 4.1% energyperiod 24.0 · power 1.72e-5 · 4.1% energyperiod 12.0 · power 3.15e-6 · 0.8% energyperiod 12.0 · power 3.15e-6 · 0.8% energyperiod 8.0 · power 4.12e-5 · 9.9% energyperiod 8.0 · power 4.12e-5 · 9.9% energyperiod 6.0 · power 3.60e-5 · 8.6% energyperiod 6.0 · power 3.60e-5 · 8.6% energyperiod 4.8 · power 8.19e-5 · 19.6% energyperiod 4.8 · power 8.19e-5 · 19.6% energyperiod 4.0 · power 1.69e-5 · 4.1% energyperiod 4.0 · power 1.69e-5 · 4.1% energyperiod 3.4 · power 1.12e-4 · 26.8% energyperiod 3.4 · power 1.12e-4 · 26.8% energyperiod 3.0 · power 4.03e-5 · 9.7% energyperiod 3.0 · power 4.03e-5 · 9.7% energyperiod 2.7 · power 4.71e-6 · 1.1% energyperiod 2.7 · power 4.71e-6 · 1.1% energyperiod 2.4 · power 1.75e-5 · 4.2% energyperiod 2.4 · power 1.75e-5 · 4.2% energyperiod 2.2 · power 4.19e-6 · 1.0% energyperiod 2.2 · power 4.19e-6 · 1.0% energyperiod 2.0 · power 4.23e-5 · 10.1% energyperiod 2.0 · power 4.23e-5 · 10.1% energy50% by T=3.4h#1 dominantT=3.43h#2T=4.80h#3T=2.00hT=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 ≈ 3.43h (freq 0.292) · concentrates 26.8% of total energy · Σ|X̂|²/n = 4.170e-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
-64.03×
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 -30.56400 paths × 720 bars · leverage 0.10× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
-0.013
annualized -30.56
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 -30.64σ ann 48% · Sortino -24.87 · n 4999 · ⚠ capped (n=4999 too small to support 8760-bar projection)
-3677%-2930%-2183%-1436%-689%57%-1000.0%APR (simple)-100.0%APY (compound)47.9%Ann. vol σ-3064.1%Sharpe (ann)-2486.8%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%
0.1760.1800.1830.1870.1910.195t-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 11:25:57 UTC
Snapshot age
3.2s
History points
25 hourly closes
Page rendered
2026-06-14 11:26:01 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
08377a0a38633525c08cf30770ddcfa14c00806f18d9f091c1cb16049e7f6176 · 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
$1.07K
bid $666 · ask $400
Depth within 5bp
$14.98K
bid $6.18K · ask $8.79K
Depth within 10bp
$68.15K
bid $42.57K · ask $25.57K
Depth within 50bp
$134.26K
bid $49.05K · ask $85.22K
Mid price
0.183790
(best bid + best ask) / 2
Spread
1.1bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.269
ask-heavy
Imbalance (top-5)
+0.462
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-xlm/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.1838060.87bp0.1838102FILLED
BUY$10.00K0.1838603.80bp0.1839208FILLED
BUY$100.00K0.18398310.48bp0.18412020PARTIAL
SELL$1.00K0.1837671.27bp0.1837402FILLED
SELL$10.00K0.1836984.99bp0.1836707FILLED
SELL$100.00K0.1836338.55bp0.18353020PARTIAL

Funding carry

SHORTS PAY · longs receive
Hourly funding
-6.593e-5
-0.00659% / hr
Annualised APR
-57.798%
hourly · 24 · 365.25
Long: days to 1% carry
6.3d
longs receive
Short: days to 1% carry
6.3d
shorts pay
SideDirectionAnnualised carryDays → 1%Days → 10%
LONGRECEIVE57.798%6.3d63.2d
SHORTPAY-57.798%6.3d63.2d

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

Volume profile

real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$0.000000–$1.000025$7.12M

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

Order flow

BID-LEAN · +0.078 · Hyperliquid candles
Bars (buy / sell)
13 / 11
1 unclassified
Buy weight
$3.79M
real volume
Sell weight
$3.24M
real volume
Net delta
$546.79K
buyers net
Imbalance
7.78%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
7.8%
two-sided / balanced
Impact (|Δp|/vol)
needs real volume

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

Cascade clusters

DOWN · 5 found · deepest 2.45% · 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 16:00:00Z3.0h0.1910100.1863302.450%4
#22026-06-14 09:00:00Z2.0h0.1864200.1835801.523%3
#32026-06-13 12:00:00Z2.0h0.1912700.1885401.427%3

/api/asset/hl-xlm/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)
-1466.28%
μ per bar = -0.000003
Sharpe (rf=0)
-30.64
annualised; risk-free assumed zero
Max drawdown
2.11%
peak 0.19 → trough 0.18 over 1642 bars

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