HYPERLIQUID · PERPETUAL FUTURES

MERL

MERL-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-merl · fresh · feed 4s old
24h sparkline · 60 pts▼ -3.09%
realized vol (ann.)
59.70%
max drawdown
1.09%
sharpe
-5.27
ulcer index
0.60%
RMS drawdown
pain index
0.50%
mean drawdown
mod. VaR 95%
0.02%
Cornish-Fisher
martin ratio
-524.10
ret / ulcer
CDaR 95%
1.00%
cond. drawdown
gain/pain
0.99
Σgain / Σ|loss|
sterling
-314.36
ret / CDaR
omega (θ=0)
0.99
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
2000
store
spread
—
24h Δ
-3.09%
flow lean
—
carry
longs_pay
10.95%
signalNEUTRALconfidence 40%
  • 24h change -3.09%
  • funding: longs pay — perp shorts get paid to wait
  • mark cheap vs HL oracle by 19.9bps — long bias
Same bundle via M2M API: /api/m2m/hl-merl/bundle · venue execution: hyperliquid →
LIVEPOLL0SRCFRESH3.8s⏱--:--:-- 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
$0.020
24h Δ · live
-3.09%
24h vol · live
$0.2M
MERL · live 24h price
n=25 · μ=0.0204 · σ=0.0003 · range [0.0200, 0.0209] · R²=0.847▼ FALLING -3.33%σ NORMAL 1.38%LAST 0.02000.02090.02070.02050.02020.0200μ = 0.0204max 0.0209min 0.0200dataMA(5)OLS R²=0.85μ lineμ ± σ bandmaxminlive endpoint
25 closes · last $0.02
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=8,608,187 · μ=344327.5 · σ=313157.7 · CV=0.91BURSTYcumulative energy ↗ · 50% by h=140356,759713,5181,070,2771,427,036μ = 3443271,427,03650%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 1427036 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
⏱snapshot age
3.8s
$mark $
$0.02
$mid $
$0.02
◉prev-day close
$0.0207
Δ24h Δ %
-3.091%
$24h vol $
$174.83k
◐open interest $
$378.11k
%funding (1h)
0.001250%
%funding (yr)
+10.95%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=0.0204 · σ=0.0003 · range [0.0200, 0.0209] · R²=0.847▼ FALLING -3.33%σ NORMAL 1.38%LAST 0.02000.02090.02070.02050.02020.0200μ = 0.0204max 0.0209min 0.0200dataMA(5)OLS R²=0.85μ lineμ ± σ bandmaxmin
mark $0.0200 · 24h -3.09% · range $[0.0200, 0.0209]
OHLC candles · hourly
n=25 · up 9 · down 16 (36% up) · range [0.0199, 0.0215] · σ=0.0003 · CV=0.01 · bodyµ=36%STRONG BEARISH -2.77%CLOSE 0.0200 vs OPEN 0.0206 (-2.77%)&#9660; CLOSE 0.02000.02150.02110.02070.02030.0199μ close = 0.0204O0.021 H0.021 L0.021 C0.021 (+0.58%)O0.021 H0.021 L0.021 C0.021 (+0.58%)O0.021 H0.021 L0.020 C0.020 (-1.03%)O0.021 H0.021 L0.020 C0.020 (-1.03%)O0.021 H0.021 L0.020 C0.021 (+0.64%)O0.021 H0.021 L0.020 C0.021 (+0.64%)1.1%O0.021 H0.022 L0.021 C0.021 (+1.09%)O0.021 H0.022 L0.021 C0.021 (+1.09%)O0.021 H0.021 L0.021 C0.021 (-0.57%)O0.021 H0.021 L0.021 C0.021 (-0.57%)O0.021 H0.021 L0.021 C0.021 (-0.60%)O0.021 H0.021 L0.021 C0.021 (-0.60%)O0.021 H0.021 L0.021 C0.021 (-0.51%)O0.021 H0.021 L0.021 C0.021 (-0.51%)O0.021 H0.021 L0.021 C0.021 (+0.43%)O0.021 H0.021 L0.021 C0.021 (+0.43%)O0.021 H0.021 L0.021 C0.021 (+0.13%)O0.021 H0.021 L0.021 C0.021 (+0.13%)O0.021 H0.021 L0.020 C0.021 (+0.50%)O0.021 H0.021 L0.020 C0.021 (+0.50%)O0.021 H0.021 L0.021 C0.021 (-0.97%)O0.021 H0.021 L0.021 C0.021 (-0.97%)O0.021 H0.021 L0.020 C0.020 (-0.38%)O0.021 H0.021 L0.020 C0.020 (-0.38%)O0.020 H0.020 L0.020 C0.020 (-0.22%)O0.020 H0.020 L0.020 C0.020 (-0.22%)O0.020 H0.021 L0.020 C0.020 (+0.11%)O0.020 H0.021 L0.020 C0.020 (+0.11%)O0.020 H0.021 L0.020 C0.020 (-0.85%)O0.020 H0.021 L0.020 C0.020 (-0.85%)O0.020 H0.020 L0.020 C0.020 (-0.03%)O0.020 H0.020 L0.020 C0.020 (-0.03%)O0.020 H0.020 L0.020 C0.020 (-0.63%)O0.020 H0.020 L0.020 C0.020 (-0.63%)O0.020 H0.020 L0.020 C0.020 (+0.02%)O0.020 H0.020 L0.020 C0.020 (+0.02%)O0.020 H0.020 L0.020 C0.020 (-0.19%)O0.020 H0.020 L0.020 C0.020 (-0.19%)O0.020 H0.020 L0.020 C0.020 (-0.05%)O0.020 H0.020 L0.020 C0.020 (-0.05%)O0.020 H0.020 L0.020 C0.020 (-0.25%)O0.020 H0.020 L0.020 C0.020 (-0.25%)O0.020 H0.020 L0.020 C0.020 (+0.28%)O0.020 H0.020 L0.020 C0.020 (+0.28%)O0.020 H0.020 L0.020 C0.020 (-0.38%)O0.020 H0.020 L0.020 C0.020 (-0.38%)O0.020 H0.020 L0.020 C0.020 (-0.07%)O0.020 H0.020 L0.020 C0.020 (-0.07%)O0.020 H0.020 L0.020 C0.020 (-0.17%)O0.020 H0.020 L0.020 C0.020 (-0.17%)#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=8,608,187 · μ=344327.5 · σ=313157.7 · CV=0.91BURSTYcumulative energy &nearr; · 50% by h=140356,759713,5181,070,2771,427,036μ = 344327304,520 · 21.3% peak304,520 · 21.3% peak143,240 · 10.0% peak143,240 · 10.0% peak151,740 · 10.6% peak151,740 · 10.6% peak947,631 · 66.4% peak947,631 · 66.4% peak518,854 · 36.4% peak518,854 · 36.4% peak152,642 · 10.7% peak152,642 · 10.7% peak166,274 · 11.7% peak166,274 · 11.7% peak132,725 · 9.3% peak132,725 · 9.3% peak125,034 · 8.8% peak125,034 · 8.8% peak216,560 · 15.2% peak216,560 · 15.2% peak454,547 · 31.9% peak454,547 · 31.9% peak78,616 · 5.5% peak78,616 · 5.5% peak798,517 · 56.0% peak798,517 · 56.0% peak343,049 · 24.0% peak343,049 · 24.0% peak249,321 · 17.5% peak249,321 · 17.5% peak345,941 · 24.2% peak345,941 · 24.2% peak374,159 · 26.2% peak374,159 · 26.2% peak531,267 · 37.2% peak531,267 · 37.2% peak1,427,0361,427,036 · 100.0% peak1,427,036 · 100.0% peak222,853 · 15.6% peak222,853 · 15.6% peak348,791 · 24.4% peak348,791 · 24.4% peak148,240 · 10.4% peak148,240 · 10.4% peak252,350 · 17.7% peak252,350 · 17.7% peak121,083 · 8.5% peak121,083 · 8.5% peak53,197 · 3.7% peak53,197 · 3.7% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 8608187 · peak 1427036 · CV 0.91

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=-0.0015 · σ=0.0054 · skew=0.34 (symmetric) · kurt=-0.57 (mesokurtic)65320 3-98.22bpbin -98.22bp · n=3 · 50.0% peakbin -98.22bp · n=3 · 50.0% peak-80.17bp 3-62.13bpbin -62.13bp · n=3 · 50.0% peakbin -62.13bp · n=3 · 50.0% peak 2-44.08bpbin -44.08bp · n=2 · 33.3% peakbin -44.08bp · n=2 · 33.3% peak 6-26.04bpbin -26.04bp · n=6 · 100.0% peakbin -26.04bp · n=6 · 100.0% peak 2-8.00bpbin -8.00bp · n=2 · 33.3% peakbin -8.00bp · n=2 · 33.3% peak 210.05bpbin 10.05bp · n=2 · 33.3% peakbin 10.05bp · n=2 · 33.3% peak28.09bp 446.14bpbin 46.14bp · n=4 · 66.7% peakbin 46.14bp · n=4 · 66.7% peak64.18bp 182.22bpbin 82.22bp · n=1 · 16.7% peakbin 82.22bp · n=1 · 16.7% peak 1100.27bpbin 100.27bp · n=1 · 16.7% peakbin 100.27bp · n=1 · 16.7% 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=0.35 · kurt=-0.30 · near 24 / mid 0 / 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
$0.02
Mid price
$0.02
24h change
-3.09%
Mark–mid spread
4.99 bps
Prev-day close
$0.0207

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25PLATYKURTIC · THIN TAILS (G₂=-1.56)
μ MEAN0.0204$95% CI: [0.0203$, 0.0205$]
σ STD DEV0.0003$σ² = 0.001×10⁻⁴ · CV = 1.38%
med MEDIAN0.0204$Q₁ 0.0201$ · Q₃ 0.0207$
FIVE-NUMBER SUMMARY · BOX PLOTrange 0.0009$ · IQR 0.0006$ (1.349σ→0.0004$)
min 0.0200$Q₁ 0.0201$med 0.0204$Q₃ 0.0207$max 0.0209$μ
SKEWNESS · G₁0.011approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.563platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.18
σ × 1.349 ↔ IQRdiverges from normalratio = 0.67
range ↔ σconcentrated (range < 4σ)range / σ = 3.05
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=-24.17
μᵣ MEAN / h-0.141125%drift is negative per h · |μ|/σ = 0.258
σᵣ STD / h0.546579%σ²ᵣ = 0.299×10⁻⁴ · CV = 3.87×
σ ANNUALISED51.16%/yrscaled by √8760 (hourly→yearly) · 0.547%/h base
RISK-ADJUSTED PERFORMANCEhigher = better edge per unit risk
SHARPE (annualised)-24.17negative edge
-2-10+1+2+3+4
SORTINO (annualised)-24.28downside drag
-2-10+1+2+3+4
CALMAR (return / max-DD)-100.00drawdown overwhelms returns
-20+2+4+6
RETURN-DISTRIBUTION SHAPE|skew| < 0.5 ≈ symmetric · |kurt| < 1 ≈ mesokurtic
SKEWNESS · G₁0.37approximately symmetric
-3-10+1+3
EXCESS KURTOSIS · G₂-0.07mesokurtic · normal-like tails
-30+2+4+6
SORTINO vs SHARPEdownside vol < total vol · favourableSoR / SR = 1.00
CALMAR · DD CONTROLdrawdown > returns · adverseCR = -100.00
EXPECTED EDGE-1236.25%/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 0.99%
VaR₉₅ (h)0.991%5% prob of larger adverse h move
VaR₉₉ (h)1.057%1% prob · extreme-tail threshold
ES₉₅ (CVaR)1.039%expected loss given 5% tail event
MAX DRAWDOWN4.11%20h from peak to trough
TAIL-RISK LADDER (h losses)larger negative = worse · markers show severity
0 · no lossVaR₉₅−0.991%VaR₉₉−1.057%ES₉₅−1.039%worst tail ←→ zero loss
MAX DRAWDOWN PROFILEmoderate drawdown · 20h duration
PEAK2.09$
−4.11% drawdown over 20h
2.00$TROUGH
ES / VaR · TAIL THICKNESSthin tails · ES ≈ VaR|ES₉₅| / |VaR₉₅| = 1.05× (normal ≈ 1.25)
VaR₉₉ / VaR₉₅ · CONCENTRATIONuniform tailratio = 1.07× (normal ≈ 1.41)
DRAWDOWN · CAPITAL DURATIONmoderate drawdownrecovery needed: +4.29% (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)
34.1 · neutral
Bollinger %B
0.215 · within band
Bollinger upper
$0.0208
Bollinger MA
$0.0203
Bollinger lower
$0.0198

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ADF rejects unit root
ρ(1) AUTOCORR-0.146within white-noise band
ρ(2) AUTOCORR-0.216lag-2 not significant
H · HURST EXPONENT0.685persistent
OLS TREND · t-STAT-11.275significant @ α=0.05
HURST EXPONENT [0, 1]persistent · H = 0.685
H = 0.685PERSISTENT
0
anti-persistent0.45
mean-reverting0.5
random walk0.55
persistent1
strongly trending
AUTOCORRELATION FUNCTION · ρ(k) for k=1..5WHITE NOISE · no significant lags
k=1-0.146k=2-0.216k=3-0.268k=4+0.225k=5+0.0290+1−1+0.41−0.41+ momentum (ρ > +0.41)− reversal (ρ < −0.41)noise (within band)±2/√n threshold
OLS TREND · t-STAT · [-5, +5]SIGNIFICANT @ 1% (|t|=11.28)
−5 reject−1.960 retain H₀+1.96+5 reject
REGIME CLASSIFICATIONMEAN-REVERTING · ADF rejects unit rootfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.52high · clear structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=11.28)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)
$174.83k
Open interest (USD)
$378.11k
Vol / OI (turnover)
0.46x
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 1.09% · worst -1.07% · typical |Δ| 0.45%BEARISH SESSION -3.39%BEST+1.09%15hWORST-1.07%13hTYPICAL |Δ|0.45%mean absoluteCUMULATIVE-3.39%Σ signed ΔSTREAK↗ 1up-runASIA · 00-08 UTCμ -0.23% · Σ -1.87%EUROPE · 08-16 UTCμ +0.08% · Σ +0.61%US · 16-24 UTCμ -0.27% · Σ -2.13%CUMULATIVE Δ PATH · final -3.39%+0.79%-3.41%-1.07% · 13h-1.07% · 13h-1.07%13h▼ WORST0.77% · 14h0.77% · 14h0.77%14h1.09% · 15h1.09% · 15h1.09%15h★ BEST-0.50% · 16h-0.50% · 16h-0.50%16h-0.55% · 17h-0.55% · 17h-0.55%17h-0.53% · 18h-0.53% · 18h-0.53%18h0.49% · 19h0.49% · 19h0.49%19h-0.18% · 20h-0.18% · 20h-0.18%20h0.51% · 21h0.51% · 21h0.51%21h-0.91% · 22h-0.91% · 22h-0.91%22h-0.46% · 23h-0.46% · 23h-0.46%23h-0.18% · 00h-0.18% · 00h-0.18%00h0.41% · 01h0.41% · 01h0.41%01h-1.01% · 02h-1.01% · 02h-1.01%02h-0.05% · 03h-0.05% · 03h-0.05%03h-0.63% · 04h-0.63% · 04h-0.63%04h-0.27% · 05h-0.27% · 05h-0.27%05h-0.18% · 06h-0.18% · 06h-0.18%06h0.04% · 07h0.04% · 07h0.04%07h-0.10% · 08h-0.10% · 08h-0.10%08h0.39% · 09h0.39% · 09h0.39%09h-0.29% · 10h-0.29% · 10h-0.29%10h-0.21% · 11h-0.21% · 11h-0.21%11h0.02% · 12h0.02% · 12h0.02%12hTIME PATTERNEurope-led (+0.61%)RUNSup max 2 · down max 5BREADTH33% up · 67% down
8 up bars · 16 down · best 1.09% · worst -1.07% · typical |Δ| 0.452%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS WITH MODERATE DD (-3.37%)FINAL-3.37%MAX DD-4.13%RECOVERYONGOING · 21 barsMAX RUN-UP+0.78%UNDERWATER23/25 (92%)STREAK↗ 1EQUITY CURVE · end 0.9663 · peak 1.0078 · range [0.9661, 1.0078]1.00780.9661break-even = 1★ PEAK 1.0078UNDERWATER DRAWDOWN · max -4.13% · moderate0%-4.13%▼ TROUGH -4.13%TOP DRAWDOWN PERIODS · 2 total#1 -4.13%bar 5-25 · 21 bars · ONGOING#2 -1.07%bar 2-3 · 2 bars · recoveredDD SEVERITYmoderate (max -4.13%)RECOVERYongoing · 21 barsTIME UNDER WATER92% of session · 23/25 bars
final equity 0.9663 (-3.37%) · max DD -4.13% · time-under-water 23/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +1 / −18 (5% positive) · μ=-34.59 · σ=25.83UNPROFITABLE STRATEGYLAST -9.37 (+0.98σ vs μ)82.8941.440.00-41.44-82.89μ = -34.59-14.37-14.3716.2016.20-4.13-4.13-23.66-23.66-31.14-31.14-29.30-29.30-20.54-20.54-23.52-23.52-39.58-39.58-63.53-63.53-60.65-60.65-55.31-55.31-55.42-55.42-82.89-82.89-79.04-79.04-34.39-34.39-24.81-24.81-21.69-21.69-9.37-9.37v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -9.366 · range [-82.89, 16.20] · μ -34.587 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=46.2226 · σ=16.4061 · range [22.0737, 80.2276] · R²=0.848▼ FALLING -71.89%σ EXTREME 35.49%LAST 22.553980.227665.689151.150636.612222.0737μ = 46.2226max 80.2276min 22.0737dataMA(3)OLS R²=0.85μ lineμ ± σ bandmaxmin
latest 22.55% · range [22.07%, 80.23%] · μ 46.22% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +4 / −15 (21% positive) · μ=-0.244 · σ=0.241MEAN-REVERSIONLAST -0.365 (-0.50σ vs μ)0.6350.3170.000-0.317-0.635μ = -0.2440.0330.0330.2330.233-0.160-0.1600.0090.009-0.347-0.347-0.323-0.323-0.187-0.187-0.200-0.200-0.403-0.403-0.357-0.357-0.563-0.563-0.569-0.569-0.635-0.635-0.279-0.279-0.012-0.0120.1580.158-0.332-0.332-0.340-0.340-0.365-0.365v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.365 · |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
0.5489
p-VALUE (log scale)
0.7600
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
5.6435
p-VALUE (log scale)
0.3423
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
-0.8702
p-VALUE (log scale)
0.7999
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
0.8586
p-VALUE (log scale)
0.0051
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
-1.0686
p-VALUE (log scale)
0.2852
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.675 ≈ 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=3.14e-5 · top T=4.80h (19.7%) · top-3 cover 51.3%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)7.4e-55.6e-53.7e-51.9e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 1.56e-5 · 4.1% energyperiod 24.0 · power 1.56e-5 · 4.1% energyperiod 12.0 · power 1.32e-6 · 0.4% energyperiod 12.0 · power 1.32e-6 · 0.4% energyperiod 8.0 · power 9.68e-6 · 2.6% energyperiod 8.0 · power 9.68e-6 · 2.6% energyperiod 6.0 · power 5.16e-5 · 13.7% energyperiod 6.0 · power 5.16e-5 · 13.7% energyperiod 4.8 · power 7.44e-5 · 19.7% energyperiod 4.8 · power 7.44e-5 · 19.7% energyperiod 4.0 · power 1.05e-5 · 2.8% energyperiod 4.0 · power 1.05e-5 · 2.8% energyperiod 3.4 · power 3.05e-5 · 8.1% energyperiod 3.4 · power 3.05e-5 · 8.1% energyperiod 3.0 · power 4.60e-5 · 12.2% energyperiod 3.0 · power 4.60e-5 · 12.2% energyperiod 2.7 · power 2.11e-5 · 5.6% energyperiod 2.7 · power 2.11e-5 · 5.6% energyperiod 2.4 · power 1.04e-5 · 2.8% energyperiod 2.4 · power 1.04e-5 · 2.8% energyperiod 2.2 · power 3.86e-5 · 10.2% energyperiod 2.2 · power 3.86e-5 · 10.2% energyperiod 2.0 · power 6.77e-5 · 17.9% energyperiod 2.0 · power 6.77e-5 · 17.9% energy50% by T=3.4h#1 dominantT=4.80h#2T=2.00h#3T=6.00hT=2hT=3hT=4hT=6hT=8hT=12hT=16hT=24h← shorter cycle (high freq · Nyquist=½) · period T (bars per cycle) · longer cycle (low freq · 1/n) →#1 dominant#2 peak#3 peak> 2× noisenoiseμ floor2μ sig.cum energy
dominant period ≈ 4.80h (freq 0.208) · concentrates 19.7% of total energy · Σ|X̂|²/n = 3.774e-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 0.03%
μ per barmean
-0.000%
σ per barvol
0.03%
Empirical f★argmax g(f)
0.00×
from observed distribution
Parametric f★μ/σ²
-33.81×
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 -30.88400 paths × 720 bars · leverage 0.10× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
-0.013
annualized -30.88
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 -21.62σ ann 64% · Sortino -16.09 · n 4999 · ⚠ capped (n=4999 too small to support 8760-bar projection)
-2594%-2060%-1526%-992%-457%77%-1000.0%APR (simple)-100.0%APY (compound)63.9%Ann. vol σ-2161.8%Sharpe (ann)-1609.1%Sortino (ann)
Simple APR vs compounded APY · annualized volatility · risk-adjusted Sharpe and Sortino. All scaled by √(periods/yr).

§20 · GARCH(1,1) volatility band

GARCH(1,1) · conditional vol envelope (±2σ)
GARCH persistence α+β = 0.980· σ̂ₜ = 1.000% · long-run σ = 2.236%
0.0190.0200.0200.0200.0210.021t-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

Upstream
api.hyperliquid.xyz
Snapshot fetched
2026-06-14 12:19:40 UTC
Snapshot age
3.8s
History points
25 hourly closes
Page rendered
2026-06-14 12:19:44 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
6b59903524e659d10d0197254990df322efa848246f0757ad025d78f1f0270ce · 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

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Also see: /arb opportunities · RSS feed

Market depth

▸ live order book · Hyperliquid perp
Depth within 1bp
$0
bid $0 · ask $0
Depth within 5bp
$1.16K
bid $644 · ask $513
Depth within 10bp
$4.65K
bid $2.22K · ask $2.43K
Depth within 50bp
$33.86K
bid $18.57K · ask $15.28K
Mid price
0.020035
(best bid + best ask) / 2
Spread
7.5bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
+0.075
bid-heavy
Imbalance (top-5)
+0.048
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-merl/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.0200475.93bp0.0200533FILLED
BUY$10.00K0.02007017.26bp0.02010211FILLED
BUY$100.00K0.02010635.34bp0.02018220PARTIAL
SELL$1.00K0.0200255.06bp0.0200184FILLED
SELL$10.00K0.02000316.37bp0.01998511FILLED
SELL$100.00K0.01996336.36bp0.01989720PARTIAL

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-merl/carry · same metrics, JSON

Volume profile

▸ real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$0.000000–$1.0000★25$8.61M

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

Order flow

▸ ASK-LEAN · -0.466 · Hyperliquid candles
Bars (buy / sell)
8 / 16
1 unclassified
Buy weight
$2.22M
real volume
Sell weight
$6.09M
real volume
Net delta
$3.87M
sellers net
Imbalance
-46.63%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
46.6%
two-sided / balanced
Impact (|Δp|/vol)
—
needs real volume

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

Cascade clusters

▸ DOWN · 4 found · deepest 2.12% · Hyperliquid candles

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

#WindowDurationPeak → TroughDrawdownBars
#12026-06-14 02:00:00Z4.0h0.020492→0.0200582.118%5
#22026-06-13 16:00:00Z3.0h0.020884→0.0205561.571%4
#32026-06-13 22:00:00Z2.0h0.020725→0.0204081.530%3

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

Risk metrics

▸ sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
63.93%
σ per bar = 0.000279
Mean return (annualised)
-1382.05%
μ per bar = -0.000003
Sharpe (rf=0)
-21.62
annualised; risk-free assumed zero
Max drawdown
1.94%
peak 0.02 → trough 0.02 over 3204 bars

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