HYPERLIQUID · PERPETUAL FUTURES

WLFI

WLFI-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-wlfi · fresh · feed 3s old
24h sparkline · 60 pts▼ -0.48%
realized vol (ann.)
54.17%
max drawdown
1.44%
sharpe
-34.66
ulcer index
0.55%
RMS drawdown
pain index
0.44%
mean drawdown
mod. VaR 95%
0.03%
Cornish-Fisher
martin ratio
-3392.90
ret / ulcer
CDaR 95%
1.30%
cond. drawdown
gain/pain
0.94
Σgain / Σ|loss|
sterling
-1444.58
ret / CDaR
omega (θ=0)
0.94
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
2000
store
spread
—
24h Δ
-0.48%
flow lean
—
carry
shorts_pay
-10.36%
signalNEUTRALconfidence 37%
  • funding: shorts pay — perp longs get paid to wait
  • mark cheap vs HL oracle by 8.4bps — long bias
Same bundle via M2M API: /api/m2m/hl-wlfi/bundle · venue execution: hyperliquid →
LIVEPOLL0SRCFRESH3.3s⏱--:--:-- 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
$0.058
24h Δ · live
-0.48%
24h vol · live
$1.1M
WLFI · live 24h price
n=24 · μ=0.0589 · σ=0.0003 · range [0.0579, 0.0593] · R²=0.181▼ FALLING -1.37%σ LOW 0.54%LAST 0.05840.05930.05890.05860.05820.0579μ = 0.0589max 0.0593min 0.0579dataMA(4)OLS R²=0.18μ lineμ ± σ bandmaxminlive endpoint
24 closes · last $0.06
Funding direction · live
Long fee 48.0%Short fee 52.0%SHORT FEE52.0%
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
48.0%▬ +0.00pp
Short fee
52.0%▬ +0.00pp
1h funding -0.001183% · shorts pay
Hourly contract volume · live
n=24 · Σ=18,006,994 · μ=750291.4 · σ=564139.9 · CV=0.75STEADY FLOWcumulative energy ↗ · 50% by h=130589,9271,179,8531,769,7802,359,706μ = 7502912,359,70650%h1h5h9h13h17h21#1 peak#2-3> μactivequietμ linecum energy
peak 2359706 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
⏱snapshot age
3.3s
$mark $
$0.0585
$mid $
$0.0585
◉prev-day close
$0.0587
Δ24h Δ %
-0.478%
$24h vol $
$1.06M
◐open interest $
$11.04M
%funding (1h)
-0.001183%
%funding (yr)
-10.36%/yr

§1 · 24h time-series

Close price · hourly
n=24 · μ=0.0589 · σ=0.0003 · range [0.0579, 0.0593] · R²=0.181▼ FALLING -1.37%σ LOW 0.54%LAST 0.05840.05930.05890.05860.05820.0579μ = 0.0589max 0.0593min 0.0579dataMA(4)OLS R²=0.18μ lineμ ± σ bandmaxmin
mark $0.0585 · 24h -0.48% · range $[0.0579, 0.0593]
OHLC candles · hourly
n=24 · up 9 · down 15 (38% up) · range [0.0578, 0.0595] · σ=0.0003 · CV=0.01 · bodyµ=48%BEARISH -0.50%CLOSE 0.0584 vs OPEN 0.0587 (-0.50%)&#9660; CLOSE 0.05840.05950.05910.05870.05830.0578μ close = 0.0589O0.059 H0.059 L0.059 C0.059 (+0.89%)O0.059 H0.059 L0.059 C0.059 (+0.89%)O0.059 H0.059 L0.059 C0.059 (-0.03%)O0.059 H0.059 L0.059 C0.059 (-0.03%)O0.059 H0.060 L0.059 C0.059 (-0.19%)O0.059 H0.060 L0.059 C0.059 (-0.19%)O0.059 H0.059 L0.059 C0.059 (-0.02%)O0.059 H0.059 L0.059 C0.059 (-0.02%)O0.059 H0.059 L0.059 C0.059 (-0.22%)O0.059 H0.059 L0.059 C0.059 (-0.22%)O0.059 H0.059 L0.059 C0.059 (-0.26%)O0.059 H0.059 L0.059 C0.059 (-0.26%)O0.059 H0.059 L0.059 C0.059 (-0.31%)O0.059 H0.059 L0.059 C0.059 (-0.31%)O0.059 H0.059 L0.059 C0.059 (-0.10%)O0.059 H0.059 L0.059 C0.059 (-0.10%)O0.059 H0.059 L0.058 C0.059 (+0.24%)O0.059 H0.059 L0.058 C0.059 (+0.24%)O0.059 H0.059 L0.059 C0.059 (+0.32%)O0.059 H0.059 L0.059 C0.059 (+0.32%)O0.059 H0.059 L0.059 C0.059 (+0.23%)O0.059 H0.059 L0.059 C0.059 (+0.23%)O0.059 H0.059 L0.059 C0.059 (-0.14%)O0.059 H0.059 L0.059 C0.059 (-0.14%)O0.059 H0.059 L0.059 C0.059 (-0.13%)O0.059 H0.059 L0.059 C0.059 (-0.13%)O0.059 H0.059 L0.059 C0.059 (-0.37%)O0.059 H0.059 L0.059 C0.059 (-0.37%)O0.059 H0.059 L0.059 C0.059 (+0.39%)O0.059 H0.059 L0.059 C0.059 (+0.39%)O0.059 H0.059 L0.059 C0.059 (+0.20%)O0.059 H0.059 L0.059 C0.059 (+0.20%)O0.059 H0.059 L0.059 C0.059 (-0.33%)O0.059 H0.059 L0.059 C0.059 (-0.33%)O0.059 H0.059 L0.058 C0.058 (-0.74%)O0.059 H0.059 L0.058 C0.058 (-0.74%)O0.058 H0.058 L0.058 C0.058 (-0.67%)O0.058 H0.058 L0.058 C0.058 (-0.67%)1.5%O0.058 H0.059 L0.058 C0.059 (+1.46%)O0.058 H0.059 L0.058 C0.059 (+1.46%)O0.059 H0.059 L0.059 C0.059 (+0.55%)O0.059 H0.059 L0.059 C0.059 (+0.55%)O0.059 H0.059 L0.059 C0.059 (+0.35%)O0.059 H0.059 L0.059 C0.059 (+0.35%)O0.059 H0.059 L0.059 C0.059 (-0.52%)O0.059 H0.059 L0.059 C0.059 (-0.52%)O0.059 H0.059 L0.058 C0.058 (-0.88%)O0.059 H0.059 L0.058 C0.058 (-0.88%)#1#5#9#13#17#21up bar (C≥O)down bar (C<O)MA(4) closeμ closedoji (~no body)biggest body
24 bars
Hourly volume (base units)
n=24 · Σ=18,006,994 · μ=750291.4 · σ=564139.9 · CV=0.75STEADY FLOWcumulative energy &nearr; · 50% by h=130589,9271,179,8531,769,7802,359,706μ = 7502912,359,7062,359,706 · 100.0% peak2,359,706 · 100.0% peak435,623 · 18.5% peak435,623 · 18.5% peak718,497 · 30.4% peak718,497 · 30.4% peak1,253,557 · 53.1% peak1,253,557 · 53.1% peak830,802 · 35.2% peak830,802 · 35.2% peak706,247 · 29.9% peak706,247 · 29.9% peak632,390 · 26.8% peak632,390 · 26.8% peak193,270 · 8.2% peak193,270 · 8.2% peak714,464 · 30.3% peak714,464 · 30.3% peak484,032 · 20.5% peak484,032 · 20.5% peak304,977 · 12.9% peak304,977 · 12.9% peak112,243 · 4.8% peak112,243 · 4.8% peak1,170,212 · 49.6% peak1,170,212 · 49.6% peak1,121,784 · 47.5% peak1,121,784 · 47.5% peak363,628 · 15.4% peak363,628 · 15.4% peak217,322 · 9.2% peak217,322 · 9.2% peak547,126 · 23.2% peak547,126 · 23.2% peak307,675 · 13.0% peak307,675 · 13.0% peak399,602 · 16.9% peak399,602 · 16.9% peak2,067,650 · 87.6% peak2,067,650 · 87.6% peak1,279,279 · 54.2% peak1,279,279 · 54.2% peak268,556 · 11.4% peak268,556 · 11.4% peak686,467 · 29.1% peak686,467 · 29.1% peak831,885 · 35.3% peak831,885 · 35.3% peak50%#1#5#9#13#17#21#1 peak#2-3> μactivequietμ linecum energy
Σ vol 18006994 · peak 2359706 · CV 0.75

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=23 · 12 bins · μ=-0.0008 · σ=0.0048 · skew=0.80 (right-skewed) · kurt=1.16 (leptokurtic (fat tails))75420 3-78.94bpbin -78.94bp · n=3 · 42.9% peakbin -78.94bp · n=3 · 42.9% peak 1-59.63bpbin -59.63bp · n=1 · 14.3% peakbin -59.63bp · n=1 · 14.3% peak 2-40.33bpbin -40.33bp · n=2 · 28.6% peakbin -40.33bp · n=2 · 28.6% peak 7-21.03bpbin -21.03bp · n=7 · 100.0% peakbin -21.03bp · n=7 · 100.0% peak 2-1.72bpbin -1.72bp · n=2 · 28.6% peakbin -1.72bp · n=2 · 28.6% peak 317.58bpbin 17.58bp · n=3 · 42.9% peakbin 17.58bp · n=3 · 42.9% peak 336.88bpbin 36.88bp · n=3 · 42.9% peakbin 36.88bp · n=3 · 42.9% peak 156.19bpbin 56.19bp · n=1 · 14.3% peakbin 56.19bp · n=1 · 14.3% peak75.49bp94.79bp114.09bp 1133.40bpbin 133.40bp · n=1 · 14.3% peakbin 133.40bp · n=1 · 14.3% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=23 · positive 8 · negative 15
Q-Q plot · standardised rₜ vs N(0,1)
n=23 · skew=0.93 · kurt=1.72 · near 20 / mid 2 / far 1 · OLS slope=0.99 intercept=0.00MODERATE DEPARTURE · SOME OUTLIERSUPPER 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
$0.0585
Mid price
$0.0585
24h change
-0.48%
Mark–mid spread
0.17 bps
Prev-day close
$0.0587

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=24STRONGLY LEFT-SKEWED (G₁=-1.16)
μ MEAN0.0589$95% CI: [0.0587$, 0.0590$]
σ STD DEV0.0003$σ² = 0.001×10⁻⁴ · CV = 0.54%
med MEDIAN0.0589$Q₁ 0.0587$ · Q₃ 0.0590$
FIVE-NUMBER SUMMARY · BOX PLOTrange 0.0014$ · IQR 0.0003$ (1.349σ→0.0004$)
min 0.0579$Q₁ 0.0587$med 0.0589$Q₃ 0.0590$max 0.0593$μ
SKEWNESS · G₁-1.161left-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂1.395leptokurtic · fat tails
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.18
σ × 1.349 ↔ IQRdiverges from normalratio = 1.35
range ↔ σwide tails (range > 4σ)range / σ = 4.34
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=-11.30
μᵣ MEAN / h-0.060142%drift is negative per h · |μ|/σ = 0.121
σᵣ STD / h0.498073%σ²ᵣ = 0.248×10⁻⁴ · CV = 8.28×
σ ANNUALISED46.62%/yrscaled by √8760 (hourly→yearly) · 0.498%/h base
RISK-ADJUSTED PERFORMANCEhigher = better edge per unit risk
SHARPE (annualised)-11.30negative edge
-2-10+1+2+3+4
SORTINO (annualised)-13.31downside 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 · G₁1.00right-skewed · heavy positive tail
-3-10+1+3
EXCESS KURTOSIS · G₂2.47leptokurtic · fat tails
-30+2+4+6
SORTINO vs SHARPEdownside vol < total vol · favourableSoR / SR = 1.18
CALMAR · DD CONTROLdrawdown > returns · adverseCR = -100.00
EXPECTED EDGE-526.85%/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 0.73%
VaR₉₅ (h)0.734%5% prob of larger adverse h move
VaR₉₉ (h)0.853%1% prob · extreme-tail threshold
ES₉₅ (CVaR)0.811%expected loss given 5% tail event
MAX DRAWDOWN2.31%18h from peak to trough
TAIL-RISK LADDER (h losses)larger negative = worse · markers show severity
0 · no lossVaR₉₅−0.734%VaR₉₉−0.853%ES₉₅−0.811%worst tail ←→ zero loss
MAX DRAWDOWN PROFILEmoderate drawdown · 18h duration
PEAK5.93$
−2.31% drawdown over 18h
5.79$TROUGH
ES / VaR · TAIL THICKNESSmild tail heaviness|ES₉₅| / |VaR₉₅| = 1.10× (normal ≈ 1.25)
VaR₉₉ / VaR₉₅ · CONCENTRATIONuniform tailratio = 1.16× (normal ≈ 1.41)
DRAWDOWN · CAPITAL DURATIONmoderate drawdownrecovery needed: +2.36% (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)
41.8 · neutral
Bollinger %B
0.219 · within band
Bollinger upper
$0.0594
Bollinger MA
$0.0588
Bollinger lower
$0.0582

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: TRENDING · variance ratio > 1
ρ(1) AUTOCORR+0.213within white-noise band
ρ(2) AUTOCORR-0.284lag-2 not significant
H · HURST EXPONENT0.804strongly persistent
OLS TREND · t-STAT-2.209significant @ α=0.05
HURST EXPONENT [0, 1]strongly persistent · H = 0.804
H = 0.804STRONGLY PERSISTENT
0
anti-persistent0.45
mean-reverting0.5
random walk0.55
persistent1
strongly trending
AUTOCORRELATION FUNCTION · ρ(k) for k=1..51 SIGNIFICANT LAG · k=3
k=1+0.213k=2-0.284k=3 ★-0.565k=4-0.245k=5+0.3510+1−1+0.42−0.42+ momentum (ρ > +0.42)− reversal (ρ < −0.42)noise (within band)±2/√n threshold
OLS TREND · t-STAT · [-5, +5]SIGNIFICANT @ 5% (|t|=2.21)
−5 reject−1.960 retain H₀+1.96+5 reject
REGIME CLASSIFICATIONTRENDING · variance ratio > 1from Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.82very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 5% (|t|=2.21)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)
$1.06M
Open interest (USD)
$11.04M
Vol / OI (turnover)
0.10x
1h funding
-0.001183%
Funding (annualised)
-10.36%/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=23 bars · best 1.43% · worst -0.89% · typical |Δ| 0.38%BEARISH SESSION -1.38%BEST+1.43%06hWORST-0.89%10hTYPICAL |Δ|0.38%mean absoluteCUMULATIVE-1.38%Σ signed ΔSTREAK↘ 2down-runASIA · 00-08 UTCμ +0.03% · Σ +0.26%EUROPE · 08-16 UTCμ -0.20% · Σ -1.40%US · 16-24 UTCμ -0.03% · Σ -0.25%CUMULATIVE Δ PATH · final -1.38%+0.03%-2.34%-0.02% · 12h-0.02% · 12h-0.02%12h-0.20% · 13h-0.20% · 13h-0.20%13h-0.04% · 14h-0.04% · 14h-0.04%14h-0.13% · 15h-0.13% · 15h-0.13%15h-0.23% · 16h-0.23% · 16h-0.23%16h-0.27% · 17h-0.27% · 17h-0.27%17h-0.16% · 18h-0.16% · 18h-0.16%18h0.20% · 19h0.20% · 19h0.20%19h0.32% · 20h0.32% · 20h0.32%20h0.24% · 21h0.24% · 21h0.24%21h-0.17% · 22h-0.17% · 22h-0.17%22h-0.17% · 23h-0.17% · 23h-0.17%23h-0.37% · 00h-0.37% · 00h-0.37%00h0.39% · 01h0.39% · 01h0.39%01h0.14% · 02h0.14% · 02h0.14%02h-0.40% · 03h-0.40% · 03h-0.40%03h-0.74% · 04h-0.74% · 04h-0.74%04h-0.71% · 05h-0.71% · 05h-0.71%05h1.43% · 06h1.43% · 06h1.43%06h★ BEST0.53% · 07h0.53% · 07h0.53%07h0.40% · 08h0.40% · 08h0.40%08h-0.52% · 09h-0.52% · 09h-0.52%09h-0.89% · 10h-0.89% · 10h-0.89%10h▼ WORSTTIME PATTERNAsia-led (+0.26%)RUNSup max 3 · down max 7BREADTH35% up · 65% down
8 up bars · 15 down · best 1.43% · worst -0.89% · typical |Δ| 0.378%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=24 barsLOSS WITH MODERATE DD (-1.40%)FINAL-1.40%MAX DD-2.32%RECOVERYONGOING · 20 barsMAX RUN-UP+0.00%UNDERWATER22/24 (92%)STREAK↘ 2EQUITY CURVE · end 0.9860 · peak 1.0000 · range [0.9768, 1.0000]1.00000.9768break-even = 1★ PEAK 1.0000UNDERWATER DRAWDOWN · max -2.32% · moderate0%-2.32%▼ TROUGH -2.32%TOP DRAWDOWN PERIODS · 2 total#1 -2.32%bar 2-21 · 20 bars · recovered#2 -1.40%bar 23-24 · 2 bars · ONGOINGDD SEVERITYmoderate (max -2.32%)RECOVERYongoing · 23 barsTIME UNDER WATER92% of session · 22/24 bars
final equity 0.9860 (-1.40%) · max DD -2.32% · time-under-water 22/24 bars

§13 · Rolling-window statistics (w = 5 bars)

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +7 / −12 (37% positive) · μ=-28.37 · σ=65.05MIXED EDGELAST 19.44 (+0.74σ vs μ)180.4090.200.00-90.20-180.40μ = -28.37-126.25-126.25-180.40-180.40-174.07-174.07-60.31-60.31-10.25-10.2523.4923.4934.6234.6232.9032.90-9.36-9.36-4.60-4.60-11.32-11.32-22.83-22.83-40.40-40.40-48.71-48.71-5.88-5.882.022.0218.5518.5524.2224.2219.4419.44v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 19.444 · range [-180.40, 34.62] · μ -28.374 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=40.5410 · σ=29.1622 · range [8.4279, 88.0219] · R²=0.843▲ RISING +881.98%σ EXTREME 71.93%LAST 85.823688.021968.123448.224928.32648.4279μ = 40.5410max 88.0219min 8.4279dataMA(3)OLS R²=0.84μ lineμ ± σ bandmaxmin
latest 85.82% · range [8.43%, 88.02%] · μ 40.54% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +12 / −7 (63% positive) · μ=0.112 · σ=0.266CLOSE TO MARTINGALELAST 0.328 (+0.81σ vs μ)0.4690.2350.000-0.235-0.469μ = 0.112-0.391-0.3910.1700.1700.2540.2540.0860.0860.4490.4490.4500.450-0.023-0.0230.3980.3980.3600.360-0.252-0.252-0.004-0.004-0.160-0.1600.1690.1690.4690.469-0.111-0.1110.1570.1570.0630.063-0.281-0.2810.3280.328v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 0.328 · |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
3 of 6 REJECT · mixed evidence3 reject·3 pass·α = 0.05
𝒩

Jarque-Bera

REJECT H₀**

H₀: Δln-r ~ Normal(μ, σ²)

STATISTIC
9.6553
p-VALUE (log scale)
0.0080
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-normal · fat tails or skew present
ρ

Ljung-Box(h=5)

REJECT H₀**

H₀: No serial autocorrelation up to lag 5

STATISTIC
18.3398
p-VALUE (log scale)
0.0027
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
-2.3990
p-VALUE (log scale)
0.1503
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedrandom-walk behaviour (crit ≈ -2.86)
±

Wald-Wolfowitz runs

REJECT H₀*

H₀: Sign sequence of Δ is random

STATISTIC
-2.0964
p-VALUE (log scale)
0.0360
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-random sign pattern (7 runs)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.3064
p-VALUE (log scale)
0.1709
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedstationary not rejected (crit 0.463)
χ

Variance ratio q=2

FAIL TO REJECTns

H₀: Δln-r is a random walk · VR = 1

STATISTIC
0.9690
p-VALUE (log scale)
0.3326
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 1.202 ≈ 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=11 bins · noise floor μ=2.48e-5 · top T=5.75h (43.0%) · top-3 cover 68.3%STRONG CYCLE @ T≈5.8cumulative energy ↗ (1 bin above 2× noise)1.2e-48.8e-55.9e-52.9e-50.0e+0μ noise floor2× noise (significance)period 23.0 · power 2.65e-6 · 1.0% energyperiod 23.0 · power 2.65e-6 · 1.0% energyperiod 11.5 · power 2.90e-5 · 10.6% energyperiod 11.5 · power 2.90e-5 · 10.6% energyperiod 7.7 · power 2.15e-5 · 7.9% energyperiod 7.7 · power 2.15e-5 · 7.9% energyperiod 5.8 · power 1.17e-4 · 43.0% energyperiod 5.8 · power 1.17e-4 · 43.0% energyperiod 4.6 · power 4.02e-5 · 14.7% energyperiod 4.6 · power 4.02e-5 · 14.7% energyperiod 3.8 · power 5.05e-6 · 1.8% energyperiod 3.8 · power 5.05e-6 · 1.8% energyperiod 3.3 · power 1.37e-6 · 0.5% energyperiod 3.3 · power 1.37e-6 · 0.5% energyperiod 2.9 · power 4.31e-6 · 1.6% energyperiod 2.9 · power 4.31e-6 · 1.6% energyperiod 2.6 · power 2.26e-5 · 8.3% energyperiod 2.6 · power 2.26e-5 · 8.3% energyperiod 2.3 · power 2.58e-5 · 9.5% energyperiod 2.3 · power 2.58e-5 · 9.5% energyperiod 2.1 · power 3.14e-6 · 1.2% energyperiod 2.1 · power 3.14e-6 · 1.2% energy50% by T=5.8h#1 dominantT=5.75h#2T=4.60h#3T=11.50hT=3hT=4hT=6hT=8hT=12hT=16h← 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 ≈ 5.75h (freq 0.174) · concentrates 43.0% of total energy · Σ|X̂|²/n = 2.729e-4

▸ Depth section using sovereign-store price series (5000 bars · effective 5258724 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
-12.88×
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 -14.62400 paths × 720 bars · leverage 0.10× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
-0.006
annualized -14.62
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 -537% · APY -100% · Sharpe -8.31σ ann 65% · Sortino -8.10 · n 4999
-998%-783%-568%-353%-138%77%-536.7%APR (simple)-99.6%APY (compound)64.6%Ann. vol σ-831.4%Sharpe (ann)-810.3%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%
0.0560.0570.0580.0590.0600.062t-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 11:01:08 UTC
Snapshot age
3.3s
History points
24 hourly closes
Page rendered
2026-06-14 11:01:12 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
e25bfce4b3a28a2df9e9f774e7bd1cee2cf91eda97acc334aa88b04cdece7140 · 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

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Also see: /arb opportunities · RSS feed

Market depth

▸ live order book · Hyperliquid perp
Depth within 1bp
$404
bid $17 · ask $387
Depth within 5bp
$9.63K
bid $3.85K · ask $5.78K
Depth within 10bp
$38.15K
bid $14.31K · ask $23.85K
Depth within 50bp
$58.05K
bid $25.55K · ask $32.50K
Mid price
0.058451
(best bid + best ask) / 2
Spread
0.2bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.119
ask-heavy
Imbalance (top-5)
-0.160
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-wlfi/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.0584550.71bp0.0584572FILLED
BUY$10.00K0.0584743.99bp0.05849510FILLED
BUY$100.00K0.0584977.87bp0.05852120PARTIAL
SELL$1.00K0.0584274.07bp0.0584244FILLED
SELL$10.00K0.0584146.30bp0.05840413FILLED
SELL$100.00K0.0584008.61bp0.05838220PARTIAL

Funding carry

▸ SHORTS PAY · longs receive
Hourly funding
-1.183e-5
-0.00118% / hr
Annualised APR
-10.367%
hourly · 24 · 365.25
Long: days to 1% carry
35.2d
longs receive
Short: days to 1% carry
35.2d
shorts pay
SideDirectionAnnualised carryDays → 1%Days → 10%
LONGRECEIVE10.367%35.2d352.3d
SHORTPAY-10.367%35.2d352.3d

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

Volume profile

▸ real volume · Hyperliquid candlesstep $ 1 · 24 records
Price binBarsVolumeDistribution
$0.000000–$1.0000★24$18.01M

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

Order flow

▸ ASK-LEAN · -0.271 · Hyperliquid candles
Bars (buy / sell)
8 / 15
1 unclassified
Buy weight
$5.70M
real volume
Sell weight
$9.95M
real volume
Net delta
$4.25M
sellers net
Imbalance
-27.15%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
27.1%
two-sided / balanced
Impact (|Δp|/vol)
—
needs real volume

Sparkline = cumulative delta over the 24-record window./api/asset/hl-wlfi/flow?rollingWindow=30

Cascade clusters

▸ DOWN · 4 found · deepest 1.84% · 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 04:00:00Z1.0h0.058970→0.0578861.838%2
#22026-06-14 09:00:00Z1.0h0.059269→0.0584401.399%2
#32026-06-13 17:00:00Z1.0h0.059098→0.0586290.794%2

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

Risk metrics

▸ sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
64.56%
σ per bar = 0.000282
Mean return (annualised)
-536.75%
μ per bar = -0.000001
Sharpe (rf=0)
-8.31
annualised; risk-free assumed zero
Max drawdown
2.20%
peak 0.06 → trough 0.06 over 1525 bars

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