HYPERLIQUID · PERPETUAL FUTURES

ME

ME-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-me · fresh · feed 1s old
24h sparkline · 60 pts 0.27%
realized vol (ann.)
78.48%
max drawdown
1.05%
sharpe
62.84
ulcer index
0.49%
RMS drawdown
pain index
0.39%
mean drawdown
mod. VaR 95%
0.03%
Cornish-Fisher
martin ratio
10036.02
ret / ulcer
CDaR 95%
1.02%
cond. drawdown
gain/pain
1.19
Σgain / Σ|loss|
sterling
4857.18
ret / CDaR
omega (θ=0)
1.19
upside/downside
roll spread
0.6 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
0.27%
flow lean
carry
longs_pay
10.95%
signalNEUTRALconfidence 37%
  • funding: longs pay — perp shorts get paid to wait
  • mark cheap vs HL oracle by 31.7bps — long bias
Same bundle via M2M API: /api/m2m/hl-me/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH1.5s--:--:-- 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
$0.063
24h Δ · live
0.27%
24h vol · live
$0.2M
ME · live 24h price
n=25 · μ=0.0624 · σ=0.0006 · range [0.0613, 0.0632] · R²=0.237 RISING +1.63%σ LOW 0.91%LAST 0.06290.06320.06270.06230.06180.0613μ = 0.0624max 0.0632min 0.0613dataMA(5)OLS R²=0.24μ lineμ ± σ bandmaxminlive endpoint
25 closes · last $0.06
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=3,984,079 · μ=159363.2 · σ=112694.2 · CV=0.71FADING -40% h/hcumulative energy ↗ · 50% by h=90109,022218,043327,065436,086μ = 159363436,08650%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 436086 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
snapshot age
1.5s
$mark $
$0.063
$mid $
$0.0629
prev-day close
$0.0628
Δ24h Δ %
+0.271%
$24h vol $
$244.04k
open interest $
$182.13k
%funding (1h)
0.001250%
%funding (yr)
+10.95%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=0.0624 · σ=0.0006 · range [0.0613, 0.0632] · R²=0.237 RISING +1.63%σ LOW 0.91%LAST 0.06290.06320.06270.06230.06180.0613μ = 0.0624max 0.0632min 0.0613dataMA(5)OLS R²=0.24μ lineμ ± σ bandmaxmin
mark $0.0630 · 24h 0.27% · range $[0.0613, 0.0632]
OHLC candles · hourly
n=25 · up 14 · down 11 (56% up) · range [0.0612, 0.0642] · σ=0.0006 · CV=0.01 · bodyµ=52%BEARISH -0.22%CLOSE 0.0629 vs OPEN 0.0630 (-0.22%)&#9660; CLOSE 0.06290.06420.06340.06270.06200.0612μ close = 0.0624-1.8%O0.063 H0.063 L0.062 C0.062 (-1.82%)O0.063 H0.063 L0.062 C0.062 (-1.82%)O0.062 H0.062 L0.062 C0.062 (+0.40%)O0.062 H0.062 L0.062 C0.062 (+0.40%)O0.062 H0.063 L0.062 C0.063 (+0.63%)O0.062 H0.063 L0.062 C0.063 (+0.63%)O0.063 H0.063 L0.062 C0.063 (+0.43%)O0.063 H0.063 L0.062 C0.063 (+0.43%)O0.063 H0.063 L0.063 C0.063 (+0.16%)O0.063 H0.063 L0.063 C0.063 (+0.16%)O0.063 H0.064 L0.063 C0.063 (+0.35%)O0.063 H0.064 L0.063 C0.063 (+0.35%)O0.063 H0.063 L0.063 C0.063 (-0.46%)O0.063 H0.063 L0.063 C0.063 (-0.46%)O0.063 H0.064 L0.063 C0.063 (+0.35%)O0.063 H0.064 L0.063 C0.063 (+0.35%)O0.063 H0.063 L0.063 C0.063 (-0.48%)O0.063 H0.063 L0.063 C0.063 (-0.48%)O0.063 H0.063 L0.063 C0.063 (+0.33%)O0.063 H0.063 L0.063 C0.063 (+0.33%)O0.063 H0.064 L0.063 C0.063 (-0.41%)O0.063 H0.064 L0.063 C0.063 (-0.41%)O0.063 H0.063 L0.063 C0.063 (+0.29%)O0.063 H0.063 L0.063 C0.063 (+0.29%)O0.063 H0.063 L0.062 C0.062 (-0.98%)O0.063 H0.063 L0.062 C0.062 (-0.98%)O0.062 H0.063 L0.062 C0.063 (+0.53%)O0.062 H0.063 L0.062 C0.063 (+0.53%)O0.063 H0.063 L0.062 C0.062 (-0.78%)O0.063 H0.063 L0.062 C0.062 (-0.78%)O0.062 H0.062 L0.062 C0.062 (-0.59%)O0.062 H0.062 L0.062 C0.062 (-0.59%)O0.062 H0.062 L0.062 C0.062 (-0.18%)O0.062 H0.062 L0.062 C0.062 (-0.18%)O0.062 H0.062 L0.061 C0.062 (+0.15%)O0.062 H0.062 L0.061 C0.062 (+0.15%)O0.062 H0.062 L0.061 C0.062 (-0.32%)O0.062 H0.062 L0.061 C0.062 (-0.32%)O0.062 H0.062 L0.061 C0.061 (-0.60%)O0.062 H0.062 L0.061 C0.061 (-0.60%)O0.061 H0.062 L0.061 C0.062 (+0.78%)O0.061 H0.062 L0.061 C0.062 (+0.78%)O0.062 H0.062 L0.062 C0.062 (+0.06%)O0.062 H0.062 L0.062 C0.062 (+0.06%)O0.062 H0.062 L0.061 C0.061 (-0.73%)O0.062 H0.062 L0.061 C0.061 (-0.73%)O0.061 H0.063 L0.061 C0.062 (+1.40%)O0.061 H0.063 L0.061 C0.062 (+1.40%)O0.062 H0.063 L0.062 C0.063 (+0.69%)O0.062 H0.063 L0.062 C0.063 (+0.69%)#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=3,984,079 · μ=159363.2 · σ=112694.2 · CV=0.71FADING -40% h/hcumulative energy &nearr; · 50% by h=90109,022218,043327,065436,086μ = 159363310,921.7 · 71.3% peak310,921.7 · 71.3% peak164,803.8 · 37.8% peak164,803.8 · 37.8% peak278,993.2 · 64.0% peak278,993.2 · 64.0% peak55,995.3 · 12.8% peak55,995.3 · 12.8% peak239,067.7 · 54.8% peak239,067.7 · 54.8% peak436,086436,086 · 100.0% peak436,086 · 100.0% peak349,262.6 · 80.1% peak349,262.6 · 80.1% peak110,174 · 25.3% peak110,174 · 25.3% peak150,890.3 · 34.6% peak150,890.3 · 34.6% peak56,054 · 12.9% peak56,054 · 12.9% peak262,904.6 · 60.3% peak262,904.6 · 60.3% peak82,011.3 · 18.8% peak82,011.3 · 18.8% peak189,643.6 · 43.5% peak189,643.6 · 43.5% peak217,416.4 · 49.9% peak217,416.4 · 49.9% peak45,931.9 · 10.5% peak45,931.9 · 10.5% peak70,171.9 · 16.1% peak70,171.9 · 16.1% peak125,068.8 · 28.7% peak125,068.8 · 28.7% peak215,851.9 · 49.5% peak215,851.9 · 49.5% peak98,004.8 · 22.5% peak98,004.8 · 22.5% peak33,935.2 · 7.8% peak33,935.2 · 7.8% peak53,920.3 · 12.4% peak53,920.3 · 12.4% peak66,750.8 · 15.3% peak66,750.8 · 15.3% peak53,710.2 · 12.3% peak53,710.2 · 12.3% peak276,812.1 · 63.5% peak276,812.1 · 63.5% peak39,696.6 · 9.1% peak39,696.6 · 9.1% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 3984079 · peak 436086 · CV 0.71

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=0.0006 · σ=0.0057 · skew=0.17 (symmetric) · kurt=-0.91 (mesokurtic)65320 3-76.83bpbin -76.83bp · n=3 · 50.0% peakbin -76.83bp · n=3 · 50.0% peak 3-58.35bpbin -58.35bp · n=3 · 50.0% peakbin -58.35bp · n=3 · 50.0% peak 2-39.88bpbin -39.88bp · n=2 · 33.3% peakbin -39.88bp · n=2 · 33.3% peak 2-21.40bpbin -21.40bp · n=2 · 33.3% peakbin -21.40bp · n=2 · 33.3% peak 1-2.92bpbin -2.92bp · n=1 · 16.7% peakbin -2.92bp · n=1 · 16.7% peak 215.56bpbin 15.56bp · n=2 · 33.3% peakbin 15.56bp · n=2 · 33.3% peak 634.03bpbin 34.03bp · n=6 · 100.0% peakbin 34.03bp · n=6 · 100.0% peak 152.51bpbin 52.51bp · n=1 · 16.7% peakbin 52.51bp · n=1 · 16.7% peak 170.99bpbin 70.99bp · n=1 · 16.7% peakbin 70.99bp · n=1 · 16.7% peak 289.47bpbin 89.47bp · n=2 · 33.3% peakbin 89.47bp · n=2 · 33.3% peak107.94bp 1126.42bpbin 126.42bp · n=1 · 16.7% peakbin 126.42bp · 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=0.15 · kurt=-0.71 · near 23 / mid 1 / 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
$0.063
Mid price
$0.0629
24h change
+0.27%
Mark–mid spread
6.35 bps
Prev-day close
$0.0628

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25PLATYKURTIC · THIN TAILS (G₂=-1.46)
μ MEAN0.0624$95% CI: [0.0622$, 0.0626$]
σ STD DEV0.0006$σ² = 0.003×10⁻⁴ · CV = 0.91%
med MEDIAN0.0625$Q₁ 0.0619$ · Q₃ 0.0629$
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.0613$Q₁ 0.0619$med 0.0625$Q₃ 0.0629$max 0.0632$μ
SKEWNESS · G₁-0.234approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.459platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.13
σ × 1.349 ↔ IQRdiverges from normalratio = 0.76
range ↔ σconcentrated (range < 4σ)range / σ = 3.23
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=10.73
μᵣ MEAN / h+0.067448%drift is positive per h · |μ|/σ = 0.115
σᵣ STD / h0.588266%σ²ᵣ = 0.346×10⁻⁴ · CV = 8.72×
σ ANNUALISED55.06%/yrscaled by √8760 (hourly→yearly) · 0.588%/h base
RISK-ADJUSTED PERFORMANCE
SHARPE (annualised)10.73excellent · top-decile
-2-10+1+2+3+4
SORTINO (annualised)11.74strong downside-adjusted
-2-10+1+2+3+4
CALMAR (return / max-DD)100.00exceptional DD control
-20+2+4+6
RETURN-DISTRIBUTION SHAPE
SKEWNESS · G₁0.16approximately symmetric
-3-10+1+3
EXCESS KURTOSIS · G₂-0.59mesokurtic · normal-like tails
-30+2+4+6
SORTINO vs SHARPEdownside ≈ total vol · symmetricSoR / SR = 1.09
CALMAR · DD CONTROLdrawdown control exceptionalCR = 100.00
EXPECTED EDGE+590.85%/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 0.82%
VaR₉₅ (h)0.822%5% prob of larger adverse h move
VaR₉₉ (h)0.858%1% prob · extreme-tail threshold
ES₉₅ (CVaR)0.854%expected loss given 5% tail event
MAX DRAWDOWN2.90%14h from peak to trough
TAIL-RISK LADDER (h losses)
0 · no lossVaR₉₅0.822%VaR₉₉0.858%ES₉₅0.854%worst tail ←→ zero loss
MAX DRAWDOWN PROFILE
PEAK6.32$
2.90% drawdown over 14h
6.13$TROUGH
ES / VaR · TAIL THICKNESSthin tails · ES ≈ VaR|ES₉₅| / |VaR₉₅| = 1.04× (normal ≈ 1.25)
VaR₉₉ / VaR₉₅ · CONCENTRATIONuniform tailratio = 1.04× (normal ≈ 1.41)
DRAWDOWN · CAPITAL DURATIONmoderate drawdownrecovery needed: +2.98% (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)
61.1 · neutral
Bollinger %B
0.718 · within band
Bollinger upper
$0.0636
Bollinger MA
$0.0624
Bollinger lower
$0.0612

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ADF rejects unit root
ρ(1) AUTOCORR-0.109within white-noise band
ρ(2) AUTOCORR+0.142lag-2 not significant
H · HURST EXPONENT0.922strongly persistent
OLS TREND · t-STAT-2.671significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.922STRONGLY 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=1-0.109k=2+0.142k=3+0.147k=4+0.204k=5-0.1990+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 0.95very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=2.67)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)
$244.04k
Open interest (USD)
$182.13k
Vol / OI (turnover)
1.34x
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 1.36% · worst -0.86% · typical |Δ| 0.50%MILD BULLISH +1.62%BEST+1.36%11hWORST-0.86%00hTYPICAL |Δ|0.50%mean absoluteCUMULATIVE+1.62%Σ signed ΔSTREAK↗ 2up-runASIA · 00-08 UTCμ -0.34% · Σ -2.69%EUROPE · 08-16 UTCμ +0.50% · Σ +3.97%US · 16-24 UTCμ +0.04% · Σ +0.33%CUMULATIVE Δ PATH · final +1.62%+2.05%-0.89%0.42% · 13h0.42% · 13h0.42%13h0.66% · 14h0.66% · 14h0.66%14h0.38% · 15h0.38% · 15h0.38%15h0.24% · 16h0.24% · 16h0.24%16h0.35% · 17h0.35% · 17h0.35%17h-0.44% · 18h-0.44% · 18h-0.44%18h0.40% · 19h0.40% · 19h0.40%19h-0.49% · 20h-0.49% · 20h-0.49%20h0.35% · 21h0.35% · 21h0.35%21h-0.35% · 22h-0.35% · 22h-0.35%22h0.29% · 23h0.29% · 23h0.29%23h-0.86% · 00h-0.86% · 00h-0.86%00h▼ WORST0.53% · 01h0.53% · 01h0.53%01h-0.85% · 02h-0.85% · 02h-0.85%02h-0.56% · 03h-0.56% · 03h-0.56%03h-0.16% · 04h-0.16% · 04h-0.16%04h-0.05% · 05h-0.05% · 05h-0.05%05h-0.16% · 06h-0.16% · 06h-0.16%06h-0.57% · 07h-0.57% · 07h-0.57%07h0.81% · 08h0.81% · 08h0.81%08h0.13% · 09h0.13% · 09h0.13%09h-0.68% · 10h-0.68% · 10h-0.68%10h1.36% · 11h1.36% · 11h1.36%11h★ BEST0.89% · 12h0.89% · 12h0.89%12hTIME PATTERNEurope-led (+3.97%)RUNSup max 5 · down max 6BREADTH54% up · 46% down
13 up bars · 11 down · best 1.36% · worst -0.86% · typical |Δ| 0.499%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +1.59%FINAL+1.59%MAX DD-2.91%RECOVERYONGOING · 19 barsMAX RUN-UP+2.06%UNDERWATER19/25 (76%)STREAK↗ 2EQUITY CURVE · end 1.0159 · peak 1.0206 · range [0.9909, 1.0206]1.02060.9909break-even = 1★ PEAK 1.0206UNDERWATER DRAWDOWN · max -2.91% · moderate0%-2.91%▼ TROUGH -2.91%TOP DRAWDOWN PERIODS · 1 total#1 -2.91%bar 7-25 · 19 bars · ONGOINGDD SEVERITYmoderate (max -2.91%)RECOVERYongoing · 19 barsTIME UNDER WATER76% of session · 19/25 bars
final equity 1.0159 (1.59%) · max DD -2.91% · time-under-water 19/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +7 / −12 (37% positive) · μ=-10.50 · σ=43.18MIXED EDGELAST 36.35 (+1.08σ vs μ)116.9558.470.00-58.47-116.95μ = -10.5066.7166.7166.0766.0715.9115.9114.8414.84-6.80-6.80-9.26-9.26-19.81-19.81-15.19-15.19-22.48-22.48-48.19-48.19-43.04-43.04-56.72-56.72-41.69-41.69-116.95-116.95-21.40-21.400.000.00-15.05-15.0517.2817.2836.3536.35v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 36.351 · range [-116.95, 66.71] · μ -10.496 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=48.2037 · σ=12.5601 · range [29.3667, 78.0160] · R²=0.368 RISING +122.38%σ EXTREME 26.06%LAST 78.016078.016065.853753.691441.529029.3667μ = 48.2037max 78.0160min 29.3667dataMA(3)OLS R²=0.37μ lineμ ± σ bandmaxmin
latest 78.02% · range [29.37%, 78.02%] · μ 48.20% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +2 / −17 (11% positive) · μ=-0.432 · σ=0.319MEAN-REVERSIONLAST -0.225 (+0.65σ vs μ)0.8650.4320.000-0.432-0.865μ = -0.4320.0580.058-0.162-0.162-0.444-0.444-0.697-0.697-0.865-0.865-0.846-0.846-0.626-0.626-0.750-0.750-0.752-0.752-0.659-0.659-0.650-0.650-0.533-0.533-0.222-0.2220.3170.317-0.302-0.302-0.236-0.236-0.231-0.231-0.392-0.392-0.225-0.225v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.225 · |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
0.4511
p-VALUE (log scale)
0.7981
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
4.1363
p-VALUE (log scale)
0.5318
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
-1.5949
p-VALUE (log scale)
0.4882
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
0.0350
p-VALUE (log scale)
0.9720
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (13 runs)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.4092
p-VALUE (log scale)
0.0732
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
-0.9232
p-VALUE (log scale)
0.3559
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.719 ≈ 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=3.65e-5 · top T=24.00h (25.7%) · top-3 cover 58.4%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)1.1e-48.5e-55.6e-52.8e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 1.13e-4 · 25.7% energyperiod 24.0 · power 1.13e-4 · 25.7% energyperiod 12.0 · power 1.63e-5 · 3.7% energyperiod 12.0 · power 1.63e-5 · 3.7% energyperiod 8.0 · power 7.08e-6 · 1.6% energyperiod 8.0 · power 7.08e-6 · 1.6% energyperiod 6.0 · power 3.39e-6 · 0.8% energyperiod 6.0 · power 3.39e-6 · 0.8% energyperiod 4.8 · power 2.67e-6 · 0.6% energyperiod 4.8 · power 2.67e-6 · 0.6% energyperiod 4.0 · power 2.20e-5 · 5.0% energyperiod 4.0 · power 2.20e-5 · 5.0% energyperiod 3.4 · power 6.23e-5 · 14.2% energyperiod 3.4 · power 6.23e-5 · 14.2% energyperiod 3.0 · power 2.21e-5 · 5.0% energyperiod 3.0 · power 2.21e-5 · 5.0% energyperiod 2.7 · power 4.09e-5 · 9.3% energyperiod 2.7 · power 4.09e-5 · 9.3% energyperiod 2.4 · power 2.90e-5 · 6.6% energyperiod 2.4 · power 2.90e-5 · 6.6% energyperiod 2.2 · power 3.90e-5 · 8.9% energyperiod 2.2 · power 3.90e-5 · 8.9% energyperiod 2.0 · power 8.11e-5 · 18.5% energyperiod 2.0 · power 8.11e-5 · 18.5% energy50% by T=3.4h#1 dominantT=24.00h#2T=2.00h#3T=3.43hT=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 ≈ 24.00h (freq 0.042) · concentrates 25.7% of total energy · Σ|X̂|²/n = 4.385e-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 8.00× · g(f★) 0.002%/barparametric μ/σ² 32.39× · μ 0.000% · σ 0.03%
μ per barmean
0.000%
σ per barvol
0.03%
Empirical f★argmax g(f)
8.00×
from observed distribution
Parametric f★μ/σ²
32.39×
Merton continuous-time
Half-Kelly½ f★
4.00×
~⅔ of full growth, half the variance
Quarter-Kelly¼ f★
2.00×
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×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 3.00× leverage
Median CAGR/bar 0.001% · annualized Sharpe 32.40400 paths × 720 bars · leverage 3.00× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
0.014
annualized 32.40
μ per barafter L
0.001%
σ per barafter L
0.10%
VaR 95%5%
0.10%
per-bar worst-case
CVaR 95%ES
0.17%
mean tail loss
Max DD (median)MDD
-0.2%
0.92×0.96×1.00×1.03×1.07×1.11×0120240360480600720startbar #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 23.00σ ann 71% · Sortino 17.52 · n 4999 · ⚠ capped (n=4999 too small to support 8760-bar projection)
0%552%1104%1656%2208%2760%1000.0%APR (simple)1000.0%APY (compound)71.0%Ann. vol σ2300.0%Sharpe (ann)1752.0%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 = 1.001% · long-run σ = 2.236%
0.0590.0600.0620.0630.0640.066t-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 12:18:16 UTC
Snapshot age
1.5s
History points
25 hourly closes
Page rendered
2026-06-14 12:18:17 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
4ff5123d2877242b062e666567473b8f08bbc88bdfe134ef010452b7f1da9b18 · 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
$12.19K
bid $6.65K · ask $5.54K
Mid price
0.062915
(best bid + best ask) / 2
Spread
23.8bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.016
ask-heavy
Imbalance (top-5)
-0.097
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-me/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.06299612.81bp0.0630002FILLED
BUY$10.00K0.06323050.08bp0.06373018FILLED
BUY$100.00K0.06339576.34bp0.06381020PARTIAL
SELL$1.00K0.06284011.92bp0.0628401FILLED
SELL$10.00K0.06267737.89bp0.06246015FILLED
SELL$100.00K0.06259550.84bp0.06221020PARTIAL

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-me/carry · same metrics, JSON

Volume profile

real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$0.000000–$1.000025$3.98M

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

Order flow

BID-LEAN · +0.131 · Hyperliquid candles
Bars (buy / sell)
13 / 11
1 unclassified
Buy weight
$2.08M
real volume
Sell weight
$1.60M
real volume
Net delta
$482.41K
buyers net
Imbalance
13.13%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
13.1%
two-sided / balanced
Impact (|Δp|/vol)
needs real volume

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

Cascade clusters

DOWN · 5 found · deepest 1.94% · 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 02:00:00Z3.0h0.0630100.0617901.936%4
#22026-06-14 00:00:00Z0ms0.0630500.0624700.920%1
#32026-06-14 07:00:00Z0ms0.0618200.0613400.776%1

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

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
71.01%
σ per bar = 0.000310
Mean return (annualised)
1633.31%
μ per bar = 0.000003
Sharpe (rf=0)
23.00
annualised; risk-free assumed zero
Max drawdown
1.24%
peak 0.06 → trough 0.06 over 727 bars

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