HYPERLIQUID · PERPETUAL FUTURES

POPCAT

POPCAT-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-popcat · fresh · feed 5s old
24h sparkline · 60 pts 0.41%
realized vol (ann.)
39.77%
max drawdown
0.89%
sharpe
-24.83
ulcer index
0.29%
RMS drawdown
pain index
0.21%
mean drawdown
mod. VaR 95%
0.02%
Cornish-Fisher
martin ratio
-3461.41
ret / ulcer
CDaR 95%
0.76%
cond. drawdown
gain/pain
0.96
Σgain / Σ|loss|
sterling
-1293.45
ret / CDaR
omega (θ=0)
0.96
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
0.41%
flow lean
carry
longs_pay
10.95%
signalNEUTRALconfidence 36%
  • funding: longs pay — perp shorts get paid to wait
  • mark cheap vs HL oracle by 18.2bps — long bias
Same bundle via M2M API: /api/m2m/hl-popcat/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH5.0s--:--:-- 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
$0.041
24h Δ · live
0.41%
24h vol · live
$1.1M
POPCAT · live 24h price
n=25 · μ=0.0415 · σ=0.0003 · range [0.0411, 0.0421] · R²=0.034 FALLING -0.86%σ LOW 0.71%LAST 0.04120.04210.04190.04160.04140.0411μ = 0.0415max 0.0421min 0.0411dataMA(5)OLS R²=0.03μ lineμ ± σ bandmaxminlive endpoint
25 closes · last $0.04
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=27,381,918 · μ=1095276.7 · σ=2108314.7 · CV=1.92BURSTY · concentratedcumulative energy ↗ · 50% by h=701,784,0773,568,1545,352,2317,136,308μ = 10952777,136,30850%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 7136308 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
snapshot age
5.0s
$mark $
$0.0412
$mid $
$0.0412
prev-day close
$0.041
Δ24h Δ %
+0.407%
$24h vol $
$1.14M
open interest $
$1.13M
%funding (1h)
0.001250%
%funding (yr)
+10.95%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=0.0415 · σ=0.0003 · range [0.0411, 0.0421] · R²=0.034 FALLING -0.86%σ LOW 0.71%LAST 0.04120.04210.04190.04160.04140.0411μ = 0.0415max 0.0421min 0.0411dataMA(5)OLS R²=0.03μ lineμ ± σ bandmaxmin
mark $0.0412 · 24h 0.41% · range $[0.0411, 0.0421]
OHLC candles · hourly
n=25 · up 13 · down 12 (52% up) · range [0.0410, 0.0431] · σ=0.0003 · CV=0.01 · bodyµ=45%BULLISH +0.34%CLOSE 0.0412 vs OPEN 0.0410 (+0.34%)&#9650; CLOSE 0.04120.04310.04250.04200.04150.0410μ close = 0.0415O0.041 H0.042 L0.041 C0.042 (+1.21%)O0.041 H0.042 L0.041 C0.042 (+1.21%)O0.041 H0.042 L0.041 C0.041 (-0.26%)O0.041 H0.042 L0.041 C0.041 (-0.26%)O0.041 H0.041 L0.041 C0.041 (-0.33%)O0.041 H0.041 L0.041 C0.041 (-0.33%)O0.041 H0.041 L0.041 C0.041 (+0.18%)O0.041 H0.041 L0.041 C0.041 (+0.18%)O0.041 H0.041 L0.041 C0.041 (+0.21%)O0.041 H0.041 L0.041 C0.041 (+0.21%)O0.041 H0.043 L0.041 C0.041 (+0.24%)O0.041 H0.043 L0.041 C0.041 (+0.24%)1.6%O0.041 H0.042 L0.041 C0.042 (+1.56%)O0.041 H0.042 L0.041 C0.042 (+1.56%)O0.042 H0.042 L0.042 C0.042 (+0.38%)O0.042 H0.042 L0.042 C0.042 (+0.38%)O0.042 H0.042 L0.042 C0.042 (-0.50%)O0.042 H0.042 L0.042 C0.042 (-0.50%)O0.042 H0.042 L0.042 C0.042 (-0.37%)O0.042 H0.042 L0.042 C0.042 (-0.37%)O0.042 H0.042 L0.042 C0.042 (+0.73%)O0.042 H0.042 L0.042 C0.042 (+0.73%)O0.042 H0.042 L0.042 C0.042 (-0.78%)O0.042 H0.042 L0.042 C0.042 (-0.78%)O0.042 H0.042 L0.042 C0.042 (+0.47%)O0.042 H0.042 L0.042 C0.042 (+0.47%)O0.042 H0.042 L0.042 C0.042 (-0.55%)O0.042 H0.042 L0.042 C0.042 (-0.55%)O0.042 H0.042 L0.042 C0.042 (-0.09%)O0.042 H0.042 L0.042 C0.042 (-0.09%)O0.042 H0.042 L0.042 C0.042 (-0.04%)O0.042 H0.042 L0.042 C0.042 (-0.04%)O0.042 H0.042 L0.042 C0.042 (+0.49%)O0.042 H0.042 L0.042 C0.042 (+0.49%)O0.042 H0.042 L0.041 C0.041 (-0.74%)O0.042 H0.042 L0.041 C0.041 (-0.74%)O0.041 H0.042 L0.041 C0.042 (+0.38%)O0.041 H0.042 L0.041 C0.042 (+0.38%)O0.042 H0.042 L0.041 C0.041 (-0.63%)O0.042 H0.042 L0.041 C0.041 (-0.63%)O0.041 H0.042 L0.041 C0.041 (-0.24%)O0.041 H0.042 L0.041 C0.041 (-0.24%)O0.041 H0.041 L0.041 C0.041 (+0.13%)O0.041 H0.041 L0.041 C0.041 (+0.13%)O0.041 H0.041 L0.041 C0.041 (+0.35%)O0.041 H0.041 L0.041 C0.041 (+0.35%)O0.041 H0.042 L0.041 C0.041 (-0.48%)O0.041 H0.042 L0.041 C0.041 (-0.48%)O0.041 H0.041 L0.041 C0.041 (+0.00%)O0.041 H0.041 L0.041 C0.041 (+0.00%)#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=27,381,918 · μ=1095276.7 · σ=2108314.7 · CV=1.92BURSTY · concentratedcumulative energy &nearr; · 50% by h=701,784,0773,568,1545,352,2317,136,308μ = 1095277109,030 · 1.5% peak109,030 · 1.5% peak296,090 · 4.1% peak296,090 · 4.1% peak140,839 · 2.0% peak140,839 · 2.0% peak485,144 · 6.8% peak485,144 · 6.8% peak150,973 · 2.1% peak150,973 · 2.1% peak6,198,574 · 86.9% peak6,198,574 · 86.9% peak6,370,099 · 89.3% peak6,370,099 · 89.3% peak1,387,322 · 19.4% peak1,387,322 · 19.4% peak325,131 · 4.6% peak325,131 · 4.6% peak281,783 · 3.9% peak281,783 · 3.9% peak98,573 · 1.4% peak98,573 · 1.4% peak496,481 · 7.0% peak496,481 · 7.0% peak165,532 · 2.3% peak165,532 · 2.3% peak1,875,501 · 26.3% peak1,875,501 · 26.3% peak125,682 · 1.8% peak125,682 · 1.8% peak102,422 · 1.4% peak102,422 · 1.4% peak208,851 · 2.9% peak208,851 · 2.9% peak306,981 · 4.3% peak306,981 · 4.3% peak7,136,3087,136,308 · 100.0% peak7,136,308 · 100.0% peak365,788 · 5.1% peak365,788 · 5.1% peak264,299 · 3.7% peak264,299 · 3.7% peak95,962 · 1.3% peak95,962 · 1.3% peak191,669 · 2.7% peak191,669 · 2.7% peak202,505 · 2.8% peak202,505 · 2.8% peak379 · 0.0% peak379 · 0.0% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 27381918 · peak 7136308 · CV 1.92

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=-0.0005 · σ=0.0051 · skew=0.57 (right-skewed) · kurt=-0.07 (mesokurtic)65320 5-67.88bpbin -67.88bp · n=5 · 83.3% peakbin -67.88bp · n=5 · 83.3% peak 3-49.92bpbin -49.92bp · n=3 · 50.0% peakbin -49.92bp · n=3 · 50.0% peak 2-31.96bpbin -31.96bp · n=2 · 33.3% peakbin -31.96bp · n=2 · 33.3% peak 2-14.00bpbin -14.00bp · n=2 · 33.3% peakbin -14.00bp · n=2 · 33.3% peak 13.95bpbin 3.95bp · n=1 · 16.7% peakbin 3.95bp · n=1 · 16.7% peak 621.91bpbin 21.91bp · n=6 · 100.0% peakbin 21.91bp · n=6 · 100.0% peak 339.87bpbin 39.87bp · n=3 · 50.0% peakbin 39.87bp · n=3 · 50.0% peak57.82bp 175.78bpbin 75.78bp · n=1 · 16.7% peakbin 75.78bp · n=1 · 16.7% peak93.74bp111.70bp 1129.65bpbin 129.65bp · n=1 · 16.7% peakbin 129.65bp · n=1 · 16.7% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 11 · negative 12
Q-Q plot · standardised rₜ vs N(0,1)
n=24 · skew=0.65 · kurt=0.13 · near 21 / mid 3 / far 0 · OLS slope=0.99 intercept=-0.00APPROXIMATELY NORMALUPPER 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
$0.0412
Mid price
$0.0412
24h change
+0.41%
Mark–mid spread
3.64 bps
Prev-day close
$0.041

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25PLATYKURTIC · THIN TAILS (G₂=-1.14)
μ MEAN0.0415$95% CI: [0.0414$, 0.0417$]
σ STD DEV0.0003$σ² = 0.001×10⁻⁴ · CV = 0.71%
med MEDIAN0.0415$Q₁ 0.0413$ · Q₃ 0.0417$
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.0411$Q₁ 0.0413$med 0.0415$Q₃ 0.0417$max 0.0421$μ
SKEWNESS · G₁0.296approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.142platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.12
σ × 1.349 ↔ IQRconsistent with normalratio = 0.93
range ↔ σconcentrated (range < 4σ)range / σ = 3.38
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=-6.26
μᵣ MEAN / h-0.036090%drift is negative per h · |μ|/σ = 0.067
σᵣ STD / h0.539682%σ²ᵣ = 0.291×10⁻⁴ · CV = 14.95×
σ ANNUALISED50.51%/yrscaled by √8760 (hourly→yearly) · 0.540%/h base
RISK-ADJUSTED PERFORMANCE
SHARPE (annualised)-6.26negative edge
-2-10+1+2+3+4
SORTINO (annualised)-6.49downside drag
-2-10+1+2+3+4
CALMAR (return / max-DD)-100.00drawdown overwhelms returns
-20+2+4+6
RETURN-DISTRIBUTION SHAPE
SKEWNESS · G₁0.69right-skewed · heavy positive tail
-3-10+1+3
EXCESS KURTOSIS · G₂0.46mesokurtic · normal-like tails
-30+2+4+6
SORTINO vs SHARPEdownside vol < total vol · favourableSoR / SR = 1.04
CALMAR · DD CONTROLdrawdown > returns · adverseCR = -100.00
EXPECTED EDGE-316.15%/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 0.71%
VaR₉₅ (h)0.707%5% prob of larger adverse h move
VaR₉₉ (h)0.756%1% prob · extreme-tail threshold
ES₉₅ (CVaR)0.741%expected loss given 5% tail event
MAX DRAWDOWN2.26%17h from peak to trough
TAIL-RISK LADDER (h losses)
0 · no lossVaR₉₅0.707%VaR₉₉0.756%ES₉₅0.741%worst tail ←→ zero loss
MAX DRAWDOWN PROFILE
PEAK4.21$
2.26% drawdown over 17h
4.12$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: +2.31% (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)
43.5 · neutral
Bollinger %B
0.104 · within band
Bollinger upper
$0.0422
Bollinger MA
$0.0416
Bollinger lower
$0.0410

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ρ(1) -0.20 + ADF rejected
ρ(1) AUTOCORR-0.203within white-noise band
ρ(2) AUTOCORR+0.078lag-2 not significant
H · HURST EXPONENT0.896strongly persistent
OLS TREND · t-STAT-0.900fails 5% test
HURST EXPONENT [0, 1]
H = 0.896STRONGLY 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=1-0.203k=2+0.078k=3-0.144k=4+0.137k=5-0.3820+1−1+0.410.41+ momentum (ρ > +0.41)− reversal (ρ < −0.41)noise (within band)±2/√n threshold
OLS TREND · t-STAT · [-5, +5]
−5 reject−1.960 retain H₀+1.96+5 reject
REGIME CLASSIFICATIONMEAN-REVERTING · ρ(1) -0.20 + ADF rejectedfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 1.00very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCENOT SIGNIFICANT (|t|=0.90)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)
$1.14M
Open interest (USD)
$1.13M
Vol / OI (turnover)
1.00x
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 1.39% · worst -0.77% · typical |Δ| 0.44%MILD BEARISH -0.87%BEST+1.39%17hWORST-0.77%22hTYPICAL |Δ|0.44%mean absoluteCUMULATIVE-0.87%Σ signed ΔSTREAK↘ 2down-runASIA · 00-08 UTCμ -0.20% · Σ -1.63%EUROPE · 08-16 UTCμ -0.09% · Σ -0.74%US · 16-24 UTCμ +0.19% · Σ +1.50%CUMULATIVE Δ PATH · final -0.87%+1.42%-0.98%-0.43% · 12h-0.43% · 12h-0.43%12h-0.54% · 13h-0.54% · 13h-0.54%13h0.20% · 14h0.20% · 14h0.20%14h0.28% · 15h0.28% · 15h0.28%15h0.24% · 16h0.24% · 16h0.24%16h1.39% · 17h1.39% · 17h1.39%17h★ BEST0.29% · 18h0.29% · 18h0.29%18h-0.60% · 19h-0.60% · 19h-0.60%19h-0.34% · 20h-0.34% · 20h-0.34%20h0.83% · 21h0.83% · 21h0.83%21h-0.77% · 22h-0.77% · 22h-0.77%22h▼ WORST0.46% · 23h0.46% · 23h0.46%23h-0.67% · 00h-0.67% · 00h-0.67%00h0.00% · 01h0.00% · 01h·01h-0.17% · 02h-0.17% · 02h-0.17%02h0.48% · 03h0.48% · 03h0.48%03h-0.71% · 04h-0.71% · 04h-0.71%04h0.33% · 05h0.33% · 05h0.33%05h-0.59% · 06h-0.59% · 06h-0.59%06h-0.30% · 07h-0.30% · 07h-0.30%07h0.14% · 08h0.14% · 08h0.14%08h0.21% · 09h0.21% · 09h0.21%09h-0.53% · 10h-0.53% · 10h-0.53%10h-0.06% · 11h-0.06% · 11h-0.06%11hTIME PATTERNUS-led (+1.50%)RUNSup max 5 · down max 2BREADTH46% up · 50% down · 4% flat
11 up bars · 12 down · best 1.39% · worst -0.77% · typical |Δ| 0.440%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS WITH MODERATE DD (-0.90%)FINAL-0.90%MAX DD-2.28%RECOVERYONGOING · 17 barsMAX RUN-UP+1.42%UNDERWATER22/25 (88%)STREAK↘ 2EQUITY CURVE · end 0.9910 · peak 1.0142 · range [0.9903, 1.0142]1.01420.9903break-even = 1★ PEAK 1.0142UNDERWATER DRAWDOWN · max -2.28% · moderate0%-2.28%▼ TROUGH -2.28%TOP DRAWDOWN PERIODS · 2 total#1 -2.28%bar 9-25 · 17 bars · ONGOING#2 -0.97%bar 2-6 · 5 bars · recoveredDD SEVERITYmoderate (max -2.28%)RECOVERYongoing · 17 barsTIME UNDER WATER88% of session · 22/25 bars
final equity 0.9910 (-0.90%) · max DD -2.28% · time-under-water 22/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +6 / −13 (32% positive) · μ=-5.12 · σ=29.25UNPROFITABLE STRATEGYLAST -51.81 (-1.60σ vs μ)51.8125.900.00-25.90-51.81μ = -5.1225.6425.6446.8846.8844.4044.4028.6928.6938.5738.5714.6014.60-3.03-3.03-25.34-25.34-11.91-11.91-7.98-7.98-19.54-19.54-18.39-18.39-23.42-23.42-21.75-21.75-31.25-31.25-20.63-20.63-32.32-32.32-28.65-28.65-51.81-51.81v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -51.807 · range [-51.81, 46.88] · μ -5.117 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=53.9979 · σ=11.8049 · range [31.7998, 79.8573] · R²=0.721 FALLING -50.61%σ EXTREME 21.86%LAST 31.799879.857367.842955.828543.814231.7998μ = 53.9979max 79.8573min 31.7998dataMA(3)OLS R²=0.72μ lineμ ± σ bandmaxmin
latest 31.80% · range [31.80%, 79.86%] · μ 54.00% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +3 / −16 (16% positive) · μ=-0.366 · σ=0.344MEAN-REVERSIONLAST -0.079 (+0.84σ vs μ)0.7960.3980.000-0.398-0.796μ = -0.3660.2160.216-0.001-0.001-0.032-0.0320.2160.2160.0630.063-0.145-0.145-0.618-0.618-0.624-0.624-0.796-0.796-0.696-0.696-0.561-0.561-0.572-0.572-0.591-0.591-0.762-0.762-0.680-0.680-0.643-0.643-0.367-0.367-0.284-0.284-0.079-0.079v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.079 · |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
2.1060
p-VALUE (log scale)
0.3489
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
7.3025
p-VALUE (log scale)
0.1979
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
-1.6683
p-VALUE (log scale)
0.4532
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
0.2231
p-VALUE (log scale)
0.8234
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
0.2271
p-VALUE (log scale)
0.3095
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
-0.7260
p-VALUE (log scale)
0.4678
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.779 ≈ 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=3.38e-5 · top T=2.00h (35.1%) · top-3 cover 64.3%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)1.4e-41.1e-47.1e-53.6e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 2.38e-5 · 5.9% energyperiod 24.0 · power 2.38e-5 · 5.9% energyperiod 12.0 · power 2.44e-5 · 6.0% energyperiod 12.0 · power 2.44e-5 · 6.0% energyperiod 8.0 · power 2.67e-5 · 6.6% energyperiod 8.0 · power 2.67e-5 · 6.6% energyperiod 6.0 · power 2.67e-5 · 6.6% energyperiod 6.0 · power 2.67e-5 · 6.6% energyperiod 4.8 · power 1.77e-5 · 4.4% energyperiod 4.8 · power 1.77e-5 · 4.4% energyperiod 4.0 · power 1.60e-5 · 3.9% energyperiod 4.0 · power 1.60e-5 · 3.9% energyperiod 3.4 · power 7.66e-6 · 1.9% energyperiod 3.4 · power 7.66e-6 · 1.9% energyperiod 3.0 · power 8.76e-5 · 21.6% energyperiod 3.0 · power 8.76e-5 · 21.6% energyperiod 2.7 · power 1.01e-6 · 0.2% energyperiod 2.7 · power 1.01e-6 · 0.2% energyperiod 2.4 · power 8.54e-7 · 0.2% energyperiod 2.4 · power 8.54e-7 · 0.2% energyperiod 2.2 · power 3.14e-5 · 7.7% energyperiod 2.2 · power 3.14e-5 · 7.7% energyperiod 2.0 · power 1.42e-4 · 35.1% energyperiod 2.0 · power 1.42e-4 · 35.1% energy50% by T=3.0h#1 dominantT=2.00h#2T=3.00h#3T=2.18hT=2hT=3hT=4hT=6hT=8hT=12hT=16hT=24h← shorter cycle (high freq · Nyquist=½) · period T (bars per cycle) · longer cycle (low freq · 1/n) →#1 dominant#2 peak#3 peak> 2× noisenoiseμ floor2μ sig.cum energy
dominant period ≈ 2.00h (freq 0.500) · concentrates 35.1% of total energy · Σ|X̂|²/n = 4.061e-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 0.02%
μ per barmean
-0.000%
σ per barvol
0.02%
Empirical f★argmax g(f)
0.00×
from observed distribution
Parametric f★μ/σ²
-43.53×
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 -28.65400 paths × 720 bars · leverage 0.10× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
-0.012
annualized -28.65
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 -23.37σ ann 54% · Sortino -18.69 · n 4999 · ⚠ capped (n=4999 too small to support 8760-bar projection)
-2804%-2230%-1657%-1083%-509%64%-1000.0%APR (simple)-100.0%APY (compound)53.7%Ann. vol σ-2336.8%Sharpe (ann)-1868.8%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%
0.0390.0400.0410.0420.0430.044t-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 11:01:08 UTC
Snapshot age
5.0s
History points
25 hourly closes
Page rendered
2026-06-14 11:01:14 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
1ac2a88ae7d4d1a24a53340d98a10f45423c08180220ab491f7bea4cbda732e6 · 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
$1.39K
bid $646 · ask $743
Depth within 10bp
$4.42K
bid $2.35K · ask $2.07K
Depth within 50bp
$53.88K
bid $16.57K · ask $37.31K
Mid price
0.041200
(best bid + best ask) / 2
Spread
5.6bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.383
ask-heavy
Imbalance (top-5)
-0.180
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-popcat/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.0412174.24bp0.0412303FILLED
BUY$10.00K0.04127017.18bp0.04130911FILLED
BUY$100.00K0.04131828.70bp0.04138220PARTIAL
SELL$1.00K0.0411834.05bp0.0411703FILLED
SELL$10.00K0.04114114.17bp0.04110414FILLED
SELL$100.00K0.04111819.88bp0.04106020PARTIAL

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-popcat/carry · same metrics, JSON

Volume profile

real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$0.000000–$1.000025$27.38M

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

Order flow

BID-LEAN · +0.649 · Hyperliquid candles
Bars (buy / sell)
11 / 13
1 unclassified
Buy weight
$22.49M
real volume
Sell weight
$4.78M
real volume
Net delta
$17.71M
buyers net
Imbalance
64.92%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
64.9%
one-sided / toxic
Impact (|Δp|/vol)
needs real volume

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

Cascade clusters

DOWN · 7 found · deepest 1.26% · 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 06:00:00Z2.0h0.0417780.0412521.259%3
#22026-06-14 00:00:00Z2.0h0.0420590.0415801.139%3
#32026-06-13 13:00:00Z1.0h0.0415110.0411080.971%2

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

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
53.68%
σ per bar = 0.000234
Mean return (annualised)
-1254.43%
μ per bar = -0.000002
Sharpe (rf=0)
-23.37
annualised; risk-free assumed zero
Max drawdown
1.80%
peak 0.04 → trough 0.04 over 2193 bars

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