HYPERLIQUID · PERPETUAL FUTURES

TIA

TIA-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-tia · fresh · feed 3s old
24h sparkline · 60 pts -1.14%
realized vol (ann.)
44.95%
max drawdown
1.14%
sharpe
-30.12
ulcer index
0.60%
RMS drawdown
pain index
0.51%
mean drawdown
mod. VaR 95%
0.03%
Cornish-Fisher
martin ratio
-2264.80
ret / ulcer
CDaR 95%
1.06%
cond. drawdown
gain/pain
0.95
Σgain / Σ|loss|
sterling
-1278.75
ret / CDaR
omega (θ=0)
0.95
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
-1.14%
flow lean
carry
longs_pay
10.95%
signalSHORTconfidence 40%suggested side: SELL
  • 24h change -1.14%
  • funding: longs pay — perp shorts get paid to wait
  • mark cheap vs HL oracle by 10.1bps — long bias
Same bundle via M2M API: /api/m2m/hl-tia/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH2.9s--:--:-- 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
$0.337
24h Δ · live
-1.14%
24h vol · live
$0.5M
TIA · live 24h price
n=25 · μ=0.3428 · σ=0.0039 · range [0.3369, 0.3495] · R²=0.536 FALLING -1.30%σ NORMAL 1.14%LAST 0.33690.34950.34630.34320.34000.3369μ = 0.3428max 0.3495min 0.3369dataMA(5)OLS R²=0.54μ lineμ ± σ bandmaxminlive endpoint
25 closes · last $0.34
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=1,604,044 · μ=64161.8 · σ=82244.8 · CV=1.28BURSTY · concentratedcumulative energy ↗ · 50% by h=50103,330206,660309,990413,320μ = 64162413,319.950%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 413320 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
snapshot age
2.9s
$mark $
$0.337
$mid $
$0.337
prev-day close
$0.3408
Δ24h Δ %
-1.135%
$24h vol $
$547.65k
open interest $
$1.81M
%funding (1h)
0.001250%
%funding (yr)
+10.95%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=0.3428 · σ=0.0039 · range [0.3369, 0.3495] · R²=0.536 FALLING -1.30%σ NORMAL 1.14%LAST 0.33690.34950.34630.34320.34000.3369μ = 0.3428max 0.3495min 0.3369dataMA(5)OLS R²=0.54μ lineμ ± σ bandmaxmin
mark $0.3370 · 24h -1.14% · range $[0.3369, 0.3495]
OHLC candles · hourly
n=25 · up 12 · down 13 (48% up) · range [0.3361, 0.3579] · σ=0.0039 · CV=0.01 · bodyµ=35%CONSOLIDATINGCLOSE 0.3369 vs OPEN 0.3374 (-0.15%)&#9660; CLOSE 0.33690.35790.35250.34700.34150.3361μ close = 0.3428O0.337 H0.343 L0.337 C0.341 (+1.16%)O0.337 H0.343 L0.337 C0.341 (+1.16%)O0.341 H0.345 L0.340 C0.341 (+0.22%)O0.341 H0.345 L0.340 C0.341 (+0.22%)O0.342 H0.344 L0.340 C0.343 (+0.23%)O0.342 H0.344 L0.340 C0.343 (+0.23%)2.0%O0.343 H0.358 L0.342 C0.349 (+1.96%)O0.343 H0.358 L0.342 C0.349 (+1.96%)O0.350 H0.352 L0.344 C0.348 (-0.57%)O0.350 H0.352 L0.344 C0.348 (-0.57%)O0.347 H0.353 L0.345 C0.349 (+0.73%)O0.347 H0.353 L0.345 C0.349 (+0.73%)O0.349 H0.350 L0.344 C0.346 (-0.94%)O0.349 H0.350 L0.344 C0.346 (-0.94%)O0.346 H0.349 L0.344 C0.346 (-0.16%)O0.346 H0.349 L0.344 C0.346 (-0.16%)O0.346 H0.347 L0.344 C0.345 (-0.14%)O0.346 H0.347 L0.344 C0.345 (-0.14%)O0.345 H0.350 L0.344 C0.347 (+0.43%)O0.345 H0.350 L0.344 C0.347 (+0.43%)O0.347 H0.348 L0.345 C0.345 (-0.61%)O0.347 H0.348 L0.345 C0.345 (-0.61%)O0.345 H0.347 L0.345 C0.346 (+0.30%)O0.345 H0.347 L0.345 C0.346 (+0.30%)O0.346 H0.347 L0.343 C0.344 (-0.48%)O0.346 H0.347 L0.343 C0.344 (-0.48%)O0.344 H0.346 L0.343 C0.345 (+0.21%)O0.344 H0.346 L0.343 C0.345 (+0.21%)O0.345 H0.347 L0.342 C0.343 (-0.56%)O0.345 H0.347 L0.342 C0.343 (-0.56%)O0.343 H0.344 L0.342 C0.343 (+0.01%)O0.343 H0.344 L0.342 C0.343 (+0.01%)O0.343 H0.343 L0.338 C0.339 (-1.14%)O0.343 H0.343 L0.338 C0.339 (-1.14%)O0.339 H0.341 L0.337 C0.341 (+0.54%)O0.339 H0.341 L0.337 C0.341 (+0.54%)O0.341 H0.343 L0.339 C0.339 (-0.64%)O0.341 H0.343 L0.339 C0.339 (-0.64%)O0.339 H0.339 L0.338 C0.339 (-0.09%)O0.339 H0.339 L0.338 C0.339 (-0.09%)O0.339 H0.341 L0.338 C0.339 (-0.01%)O0.339 H0.341 L0.338 C0.339 (-0.01%)O0.339 H0.340 L0.337 C0.339 (+0.10%)O0.339 H0.340 L0.337 C0.339 (+0.10%)O0.339 H0.340 L0.337 C0.337 (-0.69%)O0.339 H0.340 L0.337 C0.337 (-0.69%)O0.337 H0.338 L0.336 C0.337 (+0.14%)O0.337 H0.338 L0.336 C0.337 (+0.14%)O0.337 H0.338 L0.336 C0.337 (-0.07%)O0.337 H0.338 L0.336 C0.337 (-0.07%)#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=1,604,044 · μ=64161.8 · σ=82244.8 · CV=1.28BURSTY · concentratedcumulative energy &nearr; · 50% by h=50103,330206,660309,990413,320μ = 64162413,319.9413,319.9 · 100.0% peak413,319.9 · 100.0% peak33,302.1 · 8.1% peak33,302.1 · 8.1% peak72,319.9 · 17.5% peak72,319.9 · 17.5% peak145,283 · 35.2% peak145,283 · 35.2% peak146,061.5 · 35.3% peak146,061.5 · 35.3% peak90,819.9 · 22.0% peak90,819.9 · 22.0% peak71,973.8 · 17.4% peak71,973.8 · 17.4% peak84,544 · 20.5% peak84,544 · 20.5% peak42,967.9 · 10.4% peak42,967.9 · 10.4% peak55,343.8 · 13.4% peak55,343.8 · 13.4% peak15,239.2 · 3.7% peak15,239.2 · 3.7% peak10,619.3 · 2.6% peak10,619.3 · 2.6% peak15,804.1 · 3.8% peak15,804.1 · 3.8% peak25,046.7 · 6.1% peak25,046.7 · 6.1% peak13,055.6 · 3.2% peak13,055.6 · 3.2% peak18,703.7 · 4.5% peak18,703.7 · 4.5% peak45,963.2 · 11.1% peak45,963.2 · 11.1% peak67,586.5 · 16.4% peak67,586.5 · 16.4% peak35,058 · 8.5% peak35,058 · 8.5% peak14,885.4 · 3.6% peak14,885.4 · 3.6% peak22,329.1 · 5.4% peak22,329.1 · 5.4% peak28,397.5 · 6.9% peak28,397.5 · 6.9% peak88,335.6 · 21.4% peak88,335.6 · 21.4% peak17,620.8 · 4.3% peak17,620.8 · 4.3% peak29,463.5 · 7.1% peak29,463.5 · 7.1% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 1604044 · peak 413320 · CV 1.28

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=-0.0006 · σ=0.0059 · skew=0.96 (right-skewed) · kurt=2.28 (leptokurtic (fat tails))86420 2-101.34bpbin -101.34bp · n=2 · 25.0% peakbin -101.34bp · n=2 · 25.0% peak 2-75.44bpbin -75.44bp · n=2 · 25.0% peakbin -75.44bp · n=2 · 25.0% peak 4-49.53bpbin -49.53bp · n=4 · 50.0% peakbin -49.53bp · n=4 · 50.0% peak 1-23.62bpbin -23.62bp · n=1 · 12.5% peakbin -23.62bp · n=1 · 12.5% peak 82.29bpbin 2.29bp · n=8 · 100.0% peakbin 2.29bp · n=8 · 100.0% peak 428.19bpbin 28.19bp · n=4 · 50.0% peakbin 28.19bp · n=4 · 50.0% peak 254.10bpbin 54.10bp · n=2 · 25.0% peakbin 54.10bp · n=2 · 25.0% peak80.01bp105.91bp131.82bp157.73bp 1183.64bpbin 183.64bp · n=1 · 12.5% peakbin 183.64bp · n=1 · 12.5% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 11 · negative 13
Q-Q plot · standardised rₜ vs N(0,1)
n=24 · skew=1.07 · kurt=2.90 · near 20 / mid 3 / far 1 · OLS slope=0.97 intercept=-0.00LEPTOKURTIC — FAT TAILSUPPER 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
$0.337
Mid price
$0.337
24h change
-1.14%
Mark–mid spread
1.19 bps
Prev-day close
$0.3408

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25PLATYKURTIC · THIN TAILS (G₂=-1.32)
μ MEAN0.3428$95% CI: [0.3412$, 0.3443$]
σ STD DEV0.0039$σ² = 0.151×10⁻⁴ · CV = 1.14%
med MEDIAN0.3432$Q₁ 0.3391$ · Q₃ 0.3459$
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.3369$Q₁ 0.3391$med 0.3432$Q₃ 0.3459$max 0.3495$μ
SKEWNESS · G₁0.016approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.317platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.11
σ × 1.349 ↔ IQRdiverges from normalratio = 0.77
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-ADJUSTEDUNPROFITABLE · SR=-8.17
μᵣ MEAN / h-0.054430%drift is negative per h · |μ|/σ = 0.087
σᵣ STD / h0.623709%σ²ᵣ = 0.389×10⁻⁴ · CV = 11.46×
σ ANNUALISED58.38%/yrscaled by √8760 (hourly→yearly) · 0.624%/h base
RISK-ADJUSTED PERFORMANCE
SHARPE (annualised)-8.17negative edge
-2-10+1+2+3+4
SORTINO (annualised)-8.93downside drag
-2-10+1+2+3+4
CALMAR (return / max-DD)-100.00drawdown overwhelms returns
-20+2+4+6
RETURN-DISTRIBUTION SHAPE
SKEWNESS · G₁1.14right-skewed · heavy positive tail
-3-10+1+3
EXCESS KURTOSIS · G₂3.91leptokurtic · fat tails
-30+2+4+6
SORTINO vs SHARPEdownside vol < total vol · favourableSoR / SR = 1.09
CALMAR · DD CONTROLdrawdown > returns · adverseCR = -100.00
EXPECTED EDGE-476.81%/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 0.98%
VaR₉₅ (h)0.977%5% prob of larger adverse h move
VaR₉₉ (h)1.116%1% prob · extreme-tail threshold
ES₉₅ (CVaR)1.085%expected loss given 5% tail event
MAX DRAWDOWN3.60%17h from peak to trough
TAIL-RISK LADDER (h losses)
0 · no lossVaR₉₅0.977%VaR₉₉1.116%ES₉₅1.085%worst tail ←→ zero loss
MAX DRAWDOWN PROFILE
PEAK34.95$
3.60% drawdown over 17h
33.69$TROUGH
ES / VaR · TAIL THICKNESSmild tail heaviness|ES₉₅| / |VaR₉₅| = 1.11× (normal ≈ 1.25)
VaR₉₉ / VaR₉₅ · CONCENTRATIONuniform tailratio = 1.14× (normal ≈ 1.41)
DRAWDOWN · CAPITAL DURATIONmoderate drawdownrecovery needed: +3.73% (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)
41.2 · neutral
Bollinger %B
0.152 · within band
Bollinger upper
$0.3501
Bollinger MA
$0.3423
Bollinger lower
$0.3345

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ρ(1) -0.32 + ADF rejected
ρ(1) AUTOCORR-0.319within white-noise band
ρ(2) AUTOCORR+0.391lag-2 not significant
H · HURST EXPONENT0.843strongly persistent
OLS TREND · t-STAT-5.159significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.843STRONGLY 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=1-0.319k=2+0.391k=3-0.377k=4+0.231k=5-0.2790+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) -0.32 + ADF rejectedfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 1.00very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=5.16)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)
$547.65k
Open interest (USD)
$1.81M
Vol / OI (turnover)
0.30x
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 1.97% · worst -1.14% · typical |Δ| 0.42%MILD BEARISH -1.31%BEST+1.97%15hWORST-1.14%04hTYPICAL |Δ|0.42%mean absoluteCUMULATIVE-1.31%Σ signed ΔSTREAK↘ 1down-runASIA · 00-08 UTCμ -0.27% · Σ -2.19%EUROPE · 08-16 UTCμ +0.23% · Σ +1.82%US · 16-24 UTCμ -0.12% · Σ -0.94%CUMULATIVE Δ PATH · final -1.31%+2.35%-1.31%-0.00% · 13h-0.00% · 13h-0.00%13h0.35% · 14h0.35% · 14h0.35%14h1.97% · 15h1.97% · 15h1.97%15h★ BEST-0.49% · 16h-0.49% · 16h-0.49%16h0.54% · 17h0.54% · 17h0.54%17h-1.03% · 18h-1.03% · 18h-1.03%18h0.00% · 19h0.00% · 19h0.00%19h-0.12% · 20h-0.12% · 20h-0.12%20h0.37% · 21h0.37% · 21h0.37%21h-0.45% · 22h-0.45% · 22h-0.45%22h0.25% · 23h0.25% · 23h0.25%23h-0.47% · 00h-0.47% · 00h-0.47%00h0.17% · 01h0.17% · 01h0.17%01h-0.53% · 02h-0.53% · 02h-0.53%02h-0.01% · 03h-0.01% · 03h-0.01%03h-1.14% · 04h-1.14% · 04h-1.14%04h▼ WORST0.51% · 05h0.51% · 05h0.51%05h-0.69% · 06h-0.69% · 06h-0.69%06h-0.02% · 07h-0.02% · 07h-0.02%07h0.02% · 08h0.02% · 08h0.02%08h0.13% · 09h0.13% · 09h0.13%09h-0.65% · 10h-0.65% · 10h-0.65%10h0.10% · 11h0.10% · 11h0.10%11h-0.09% · 12h-0.09% · 12h-0.09%12hTIME PATTERNEurope-led (+1.82%)RUNSup max 2 · down max 3BREADTH46% up · 54% down
11 up bars · 13 down · best 1.97% · worst -1.14% · typical |Δ| 0.421%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS WITH MODERATE DD (-1.34%)FINAL-1.34%MAX DD-3.62%RECOVERYONGOING · 19 barsMAX RUN-UP+2.36%UNDERWATER21/25 (84%)STREAK↘ 1EQUITY CURVE · end 0.9866 · peak 1.0236 · range [0.9865, 1.0236]1.02360.9865break-even = 1★ PEAK 1.0236UNDERWATER DRAWDOWN · max -3.62% · moderate0%-3.62%▼ TROUGH -3.62%TOP DRAWDOWN PERIODS · 3 total#1 -3.62%bar 7-25 · 19 bars · ONGOING#2 -0.49%bar 5-5 · 1 bars · recovered#3 -0.00%bar 2-2 · 1 bars · recoveredDD SEVERITYmoderate (max -3.62%)RECOVERYongoing · 19 barsTIME UNDER WATER84% of session · 21/25 bars
final equity 0.9866 (-1.34%) · max DD -3.62% · time-under-water 21/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +3 / −16 (16% positive) · μ=-24.39 · σ=21.99UNPROFITABLE STRATEGYLAST -28.14 (-0.17σ vs μ)51.0225.510.00-25.51-51.02μ = -24.3920.1620.1620.2520.2513.0313.03-19.92-19.92-19.07-19.07-29.93-29.93-19.02-19.02-11.07-11.07-24.89-24.89-46.23-46.23-51.02-51.02-38.81-38.81-43.03-43.03-49.94-49.94-35.33-35.33-31.01-31.01-23.46-23.46-46.02-46.02-28.14-28.14v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -28.144 · range [-51.02, 20.25] · μ -24.393 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=53.5512 · σ=21.3062 · range [26.7226, 96.7156] · R²=0.361 FALLING -72.20%σ EXTREME 39.79%LAST 26.722696.715679.217361.719144.220926.7226μ = 53.5512max 96.7156min 26.7226dataMA(3)OLS R²=0.36μ lineμ ± σ bandmaxmin
latest 26.72% · range [26.72%, 96.72%] · μ 53.55% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +0 / −19 (0% positive) · μ=-0.563 · σ=0.199MEAN-REVERSIONLAST -0.480 (+0.42σ vs μ)0.8530.4270.000-0.427-0.853μ = -0.563-0.317-0.317-0.260-0.260-0.311-0.311-0.579-0.579-0.538-0.538-0.297-0.297-0.731-0.731-0.818-0.818-0.739-0.739-0.853-0.853-0.427-0.427-0.673-0.673-0.757-0.757-0.822-0.822-0.722-0.722-0.547-0.547-0.458-0.458-0.363-0.363-0.480-0.480v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.480 · |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
4 of 6 REJECT · mixed evidence4 reject·2 pass·α = 0.05
𝒩

Jarque-Bera

REJECT H₀***

H₀: Δln-r ~ Normal(μ, σ²)

STATISTIC
20.4675
p-VALUE (log scale)
< 0.0001
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
15.5191
p-VALUE (log scale)
0.0085
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
-0.9321
p-VALUE (log scale)
0.7770
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
2.5579
p-VALUE (log scale)
0.0105
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-random sign pattern (19 runs)
χ

KPSS (μ stationarity)

REJECT H₀*

H₀: p IS level-stationary

STATISTIC
0.6461
p-VALUE (log scale)
0.0184
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
-0.3104
p-VALUE (log scale)
0.7562
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.906 ≈ 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=5.23e-5 · top T=2.00h (57.5%) · top-3 cover 72.7%STRONG CYCLE @ T≈2.0cumulative energy ↗ (1 bin above 2× noise)3.6e-42.7e-41.8e-49.0e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 4.27e-5 · 6.8% energyperiod 24.0 · power 4.27e-5 · 6.8% energyperiod 12.0 · power 1.16e-5 · 1.8% energyperiod 12.0 · power 1.16e-5 · 1.8% energyperiod 8.0 · power 4.99e-5 · 8.0% energyperiod 8.0 · power 4.99e-5 · 8.0% energyperiod 6.0 · power 2.96e-5 · 4.7% energyperiod 6.0 · power 2.96e-5 · 4.7% energyperiod 4.8 · power 1.91e-5 · 3.0% energyperiod 4.8 · power 1.91e-5 · 3.0% energyperiod 4.0 · power 3.40e-6 · 0.5% energyperiod 4.0 · power 3.40e-6 · 0.5% energyperiod 3.4 · power 1.67e-5 · 2.7% energyperiod 3.4 · power 1.67e-5 · 2.7% energyperiod 3.0 · power 4.60e-5 · 7.3% energyperiod 3.0 · power 4.60e-5 · 7.3% energyperiod 2.7 · power 4.55e-6 · 0.7% energyperiod 2.7 · power 4.55e-6 · 0.7% energyperiod 2.4 · power 3.87e-5 · 6.2% energyperiod 2.4 · power 3.87e-5 · 6.2% energyperiod 2.2 · power 4.76e-6 · 0.8% energyperiod 2.2 · power 4.76e-6 · 0.8% energyperiod 2.0 · power 3.61e-4 · 57.5% energyperiod 2.0 · power 3.61e-4 · 57.5% energy50% by T=2.0h#1 dominantT=2.00h#2T=8.00h#3T=3.00hT=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 ≈ 2.00h (freq 0.500) · concentrates 57.5% of total energy · Σ|X̂|²/n = 6.277e-4

▸ Depth section using sovereign-store price series (5000 bars · effective 5257847 bars/year) — annualisation reflects native polling cadence, not upstream timeframes.

§16 · NOSTRADAMUS continuous quant — perp leverage & bootstrap MC

Continuous-price extension of the prediction-market quant module. Kelly growth on observed returns (Merton μ/σ² parametric vs argmax empirical), Monte-Carlo equity fan bootstrapped from the historical return distribution at quarter-Kelly leverage, and an annualized return decomposition. Sweep parameters in the simulator.

§17 · Continuous Kelly

Continuous-Kelly growth · g(f) = E[ln(1 + f·r)]
NO LONG EDGE · μ -0.000% per barparametric μ/σ² short edge (μ<0) · μ -0.000% · σ 0.02%
μ per barmean
-0.000%
σ per barvol
0.02%
Empirical f★argmax g(f)
0.00×
from observed distribution
Parametric f★μ/σ²
-69.12×
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 -40.58400 paths × 720 bars · leverage 0.10× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
-0.018
annualized -40.58
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 -36.41σ ann 53% · Sortino -29.15 · n 4999 · ⚠ capped (n=4999 too small to support 8760-bar projection)
-4369%-3483%-2596%-1710%-823%63%-1000.0%APR (simple)-100.0%APY (compound)52.7%Ann. vol σ-3640.8%Sharpe (ann)-2915.0%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 = 1.000% · long-run σ = 2.236%
0.3230.3300.3370.3430.3500.357t-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 12:19:40 UTC
Snapshot age
2.9s
History points
25 hourly closes
Page rendered
2026-06-14 12:19:43 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
c45a70af2fb631284db8dadf461d75c37a456a21dfdd05cd389541d711b73297 · 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
$5.93K
bid $3.11K · ask $2.82K
Depth within 10bp
$15.25K
bid $7.00K · ask $8.26K
Depth within 50bp
$91.18K
bid $48.55K · ask $42.63K
Mid price
0.337005
(best bid + best ask) / 2
Spread
2.7bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
+0.066
bid-heavy
Imbalance (top-5)
-0.218
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-tia/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.3370691.89bp0.3370802FILLED
BUY$10.00K0.3372437.06bp0.33737011FILLED
BUY$100.00K0.33750814.93bp0.33768020PARTIAL
SELL$1.00K0.3369491.66bp0.3369003FILLED
SELL$10.00K0.3367407.85bp0.33658012FILLED
SELL$100.00K0.33643316.96bp0.33619020PARTIAL

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-tia/carry · same metrics, JSON

Volume profile

real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$0.000000–$1.000025$1.60M

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

Order flow

BID-LEAN · +0.041 · Hyperliquid candles
Bars (buy / sell)
11 / 13
1 unclassified
Buy weight
$619.91K
real volume
Sell weight
$570.81K
real volume
Net delta
$49.10K
buyers net
Imbalance
4.12%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
4.1%
two-sided / balanced
Impact (|Δp|/vol)
needs real volume

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

Cascade clusters

DOWN · 4 found · deepest 2.16% · 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 02:00:00Z6.0h0.3460500.3385702.162%7
#22026-06-13 18:00:00Z2.0h0.3494700.3454801.142%3
#32026-06-14 00:00:00Z0ms0.3467600.3444300.672%1

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

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
52.67%
σ per bar = 0.000230
Mean return (annualised)
-1917.67%
μ per bar = -0.000004
Sharpe (rf=0)
-36.41
annualised; risk-free assumed zero
Max drawdown
2.14%
peak 0.34 → trough 0.34 over 4199 bars

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