HYPERLIQUID · PERPETUAL FUTURES

MNT

MNT-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-mnt · fresh · feed 2s old
24h sparkline · 60 pts 1.78%
realized vol (ann.)
33.24%
max drawdown
1.05%
sharpe
-58.74
ulcer index
0.56%
RMS drawdown
pain index
0.46%
mean drawdown
mod. VaR 95%
0.02%
Cornish-Fisher
martin ratio
-3461.09
ret / ulcer
CDaR 95%
1.01%
cond. drawdown
gain/pain
0.90
Σgain / Σ|loss|
sterling
-1941.20
ret / CDaR
omega (θ=0)
0.90
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
1.78%
flow lean
carry
longs_pay
10.95%
signalNEUTRALconfidence 30%
  • 24h change +1.78%
  • funding: longs pay — perp shorts get paid to wait
Same bundle via M2M API: /api/m2m/hl-MNT/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH1.5s--:--:-- UTC8NEXT8.0sUP0s--:--HIST0/30
▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC FRESH·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC FRESH·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·
MARK · live
$0.556
24h Δ · live
1.78%
24h vol · live
$0.3M
MNT · live 24h price
n=25 · μ=0.5545 · σ=0.0044 · range [0.5462, 0.5625] · R²=0.689 RISING +1.91%σ LOW 0.79%LAST 0.55660.56250.55840.55430.55020.5462μ = 0.5545max 0.5625min 0.5462dataMA(5)OLS R²=0.69μ lineμ ± σ bandmaxminlive endpoint
25 closes · last $0.56
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=523,597 · μ=20943.9 · σ=21356.7 · CV=1.02BURSTY · concentratedcumulative energy ↗ · 50% by h=13022,76445,52768,29191,055μ = 2094491,054.650%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 91055 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
snapshot age
1.5s
$mark $
$0.5564
$mid $
$0.5564
prev-day close
$0.5467
Δ24h Δ %
+1.778%
$24h vol $
$280.41k
open interest $
$2.80M
%funding (1h)
0.001250%
%funding (yr)
+10.95%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=0.5545 · σ=0.0044 · range [0.5462, 0.5625] · R²=0.689 RISING +1.91%σ LOW 0.79%LAST 0.55660.56250.55840.55430.55020.5462μ = 0.5545max 0.5625min 0.5462dataMA(5)OLS R²=0.69μ lineμ ± σ bandmaxmin
mark $0.5564 · 24h 1.78% · range $[0.5462, 0.5625]
OHLC candles · hourly
n=25 · up 17 · down 8 (68% up) · range [0.5451, 0.5635] · σ=0.0044 · CV=0.01 · bodyµ=49%STRONG BULLISH +2.00%CLOSE 0.5566 vs OPEN 0.5457 (+2.00%)&#9650; CLOSE 0.55660.56350.55890.55430.54970.5451μ close = 0.5545O0.546 H0.548 L0.545 C0.546 (+0.09%)O0.546 H0.548 L0.545 C0.546 (+0.09%)O0.547 H0.548 L0.546 C0.547 (+0.15%)O0.547 H0.548 L0.546 C0.547 (+0.15%)O0.548 H0.550 L0.547 C0.549 (+0.19%)O0.548 H0.550 L0.547 C0.549 (+0.19%)O0.549 H0.549 L0.546 C0.547 (-0.29%)O0.549 H0.549 L0.546 C0.547 (-0.29%)O0.547 H0.549 L0.547 C0.548 (+0.08%)O0.547 H0.549 L0.547 C0.548 (+0.08%)O0.548 H0.550 L0.548 C0.550 (+0.33%)O0.548 H0.550 L0.548 C0.550 (+0.33%)O0.550 H0.554 L0.550 C0.553 (+0.53%)O0.550 H0.554 L0.550 C0.553 (+0.53%)O0.553 H0.555 L0.553 C0.555 (+0.42%)O0.553 H0.555 L0.553 C0.555 (+0.42%)O0.556 H0.556 L0.552 C0.556 (+0.12%)O0.556 H0.556 L0.552 C0.556 (+0.12%)O0.556 H0.558 L0.556 C0.557 (+0.19%)O0.556 H0.558 L0.556 C0.557 (+0.19%)O0.557 H0.558 L0.557 C0.557 (+0.03%)O0.557 H0.558 L0.557 C0.557 (+0.03%)O0.557 H0.558 L0.554 C0.555 (-0.49%)O0.557 H0.558 L0.554 C0.555 (-0.49%)O0.555 H0.556 L0.554 C0.555 (+0.07%)O0.555 H0.556 L0.554 C0.555 (+0.07%)O0.555 H0.557 L0.554 C0.556 (+0.30%)O0.555 H0.557 L0.554 C0.556 (+0.30%)O0.557 H0.557 L0.555 C0.556 (-0.09%)O0.557 H0.557 L0.555 C0.556 (-0.09%)O0.556 H0.556 L0.554 C0.555 (-0.23%)O0.556 H0.556 L0.554 C0.555 (-0.23%)O0.555 H0.555 L0.553 C0.554 (-0.15%)O0.555 H0.555 L0.553 C0.554 (-0.15%)O0.554 H0.557 L0.554 C0.555 (+0.14%)O0.554 H0.557 L0.554 C0.555 (+0.14%)O0.555 H0.557 L0.554 C0.557 (+0.41%)O0.555 H0.557 L0.554 C0.557 (+0.41%)O0.557 H0.560 L0.556 C0.559 (+0.29%)O0.557 H0.560 L0.556 C0.559 (+0.29%)0.7%O0.558 H0.563 L0.558 C0.562 (+0.74%)O0.558 H0.563 L0.558 C0.562 (+0.74%)O0.562 H0.563 L0.559 C0.559 (-0.57%)O0.562 H0.563 L0.559 C0.559 (-0.57%)O0.559 H0.562 L0.559 C0.560 (+0.24%)O0.559 H0.562 L0.559 C0.560 (+0.24%)O0.560 H0.561 L0.556 C0.557 (-0.65%)O0.560 H0.561 L0.556 C0.557 (-0.65%)O0.557 H0.558 L0.556 C0.557 (-0.10%)O0.557 H0.558 L0.556 C0.557 (-0.10%)#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=523,597 · μ=20943.9 · σ=21356.7 · CV=1.02BURSTY · concentratedcumulative energy &nearr; · 50% by h=13022,76445,52768,29191,055μ = 2094419,547.5 · 21.5% peak19,547.5 · 21.5% peak4,324.2 · 4.7% peak4,324.2 · 4.7% peak10,928.3 · 12.0% peak10,928.3 · 12.0% peak39,972.1 · 43.9% peak39,972.1 · 43.9% peak34,714.7 · 38.1% peak34,714.7 · 38.1% peak10,489.6 · 11.5% peak10,489.6 · 11.5% peak14,929.3 · 16.4% peak14,929.3 · 16.4% peak10,604.9 · 11.6% peak10,604.9 · 11.6% peak37,218.2 · 40.9% peak37,218.2 · 40.9% peak6,595.8 · 7.2% peak6,595.8 · 7.2% peak32,241.2 · 35.4% peak32,241.2 · 35.4% peak32,980.7 · 36.2% peak32,980.7 · 36.2% peak13,544.8 · 14.9% peak13,544.8 · 14.9% peak6,551.8 · 7.2% peak6,551.8 · 7.2% peak10,545.8 · 11.6% peak10,545.8 · 11.6% peak3,370.2 · 3.7% peak3,370.2 · 3.7% peak5,236.5 · 5.8% peak5,236.5 · 5.8% peak3,391.4 · 3.7% peak3,391.4 · 3.7% peak4,835.1 · 5.3% peak4,835.1 · 5.3% peak91,054.691,054.6 · 100.0% peak91,054.6 · 100.0% peak14,388.1 · 15.8% peak14,388.1 · 15.8% peak34,443.6 · 37.8% peak34,443.6 · 37.8% peak9,450.8 · 10.4% peak9,450.8 · 10.4% peak66,071.1 · 72.6% peak66,071.1 · 72.6% peak6,166.6 · 6.8% peak6,166.6 · 6.8% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 523597 · peak 91055 · CV 1.02

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=0.0008 · σ=0.0033 · skew=-0.59 (left-skewed) · kurt=-0.29 (mesokurtic)54310 2-59.94bpbin -59.94bp · n=2 · 40.0% peakbin -59.94bp · n=2 · 40.0% peak 1-49.09bpbin -49.09bp · n=1 · 20.0% peakbin -49.09bp · n=1 · 20.0% peak-38.25bp 1-27.41bpbin -27.41bp · n=1 · 20.0% peakbin -27.41bp · n=1 · 20.0% peak 2-16.57bpbin -16.57bp · n=2 · 40.0% peakbin -16.57bp · n=2 · 40.0% peak 2-5.73bpbin -5.73bp · n=2 · 40.0% peakbin -5.73bp · n=2 · 40.0% peak 25.11bpbin 5.11bp · n=2 · 40.0% peakbin 5.11bp · n=2 · 40.0% peak 515.96bpbin 15.96bp · n=5 · 100.0% peakbin 15.96bp · n=5 · 100.0% peak 426.80bpbin 26.80bp · n=4 · 80.0% peakbin 26.80bp · n=4 · 80.0% peak 237.64bpbin 37.64bp · n=2 · 40.0% peakbin 37.64bp · n=2 · 40.0% peak 148.48bpbin 48.48bp · n=1 · 20.0% peakbin 48.48bp · n=1 · 20.0% peak 259.32bpbin 59.32bp · n=2 · 40.0% peakbin 59.32bp · n=2 · 40.0% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 16 · negative 8
Q-Q plot · standardised rₜ vs N(0,1)
n=24 · skew=-0.55 · kurt=-0.28 · near 21 / mid 3 / far 0 · OLS slope=1.01 intercept=-0.00APPROXIMATELY NORMALUPPER TAIL NORMALMILDLY HEAVY LOWER-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
$0.5564
Mid price
$0.5564
24h change
+1.78%
Mark–mid spread
0.00 bps
Prev-day close
$0.5467

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25APPROXIMATELY NORMAL · WELL-BEHAVED
μ MEAN0.5545$95% CI: [0.5528$, 0.5562$]
σ STD DEV0.0044$σ² = 0.193×10⁻⁴ · CV = 0.79%
med MEDIAN0.5555$Q₁ 0.5527$ · Q₃ 0.5571$
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.5462$Q₁ 0.5527$med 0.5555$Q₃ 0.5571$max 0.5625$μ
SKEWNESS · G₁-0.478approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-0.775mesokurtic · normal-like
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.22
σ × 1.349 ↔ IQRdiverges from normalratio = 1.37
range ↔ σconcentrated (range < 4σ)range / σ = 3.71
μ = mean · σ = standard deviation · CV = coefficient of variation. Skew (G₁): >0 right-skewed. Kurt (G₂, excess): >0 leptokurtic. 95% CI = μ ± 1.96·SE.

§5 · Returns analytics (log-returns)

Risk-adjusted performance · log-returns
RETURNS · RISK-ADJUSTEDEXCEPTIONAL EDGE · SR=21.69
μᵣ MEAN / h+0.078970%drift is positive per h · |μ|/σ = 0.232
σᵣ STD / h0.340837%σ²ᵣ = 0.116×10⁻⁴ · CV = 4.32×
σ ANNUALISED31.90%/yrscaled by √8760 (hourly→yearly) · 0.341%/h base
RISK-ADJUSTED PERFORMANCE
SHARPE (annualised)21.69excellent · top-decile
-2-10+1+2+3+4
SORTINO (annualised)19.49strong downside-adjusted
-2-10+1+2+3+4
CALMAR (return / max-DD)100.00exceptional DD control
-20+2+4+6
RETURN-DISTRIBUTION SHAPE
SKEWNESS · G₁-0.58left-skewed · heavy negative tail
-3-10+1+3
EXCESS KURTOSIS · G₂-0.05mesokurtic · normal-like tails
-30+2+4+6
SORTINO vs SHARPEdownside drag · negatively skewedSoR / SR = 0.90
CALMAR · DD CONTROLdrawdown control exceptionalCR = 100.00
EXPECTED EDGE+691.78%/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 0.56%
VaR₉₅ (h)0.560%5% prob of larger adverse h move
VaR₉₉ (h)0.635%1% prob · extreme-tail threshold
ES₉₅ (CVaR)0.614%expected loss given 5% tail event
MAX DRAWDOWN1.04%4h from peak to trough
TAIL-RISK LADDER (h losses)
0 · no lossVaR₉₅0.560%VaR₉₉0.635%ES₉₅0.614%worst tail ←→ zero loss
MAX DRAWDOWN PROFILE
PEAK56.25$
1.04% drawdown over 4h
55.66$TROUGH
ES / VaR · TAIL THICKNESSthin tails · ES ≈ VaR|ES₉₅| / |VaR₉₅| = 1.10× (normal ≈ 1.25)
VaR₉₉ / VaR₉₅ · CONCENTRATIONuniform tailratio = 1.14× (normal ≈ 1.41)
DRAWDOWN · CAPITAL DURATIONmoderate drawdownrecovery needed: +1.05% (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)
59.5 · neutral
Bollinger %B
0.531 · within band
Bollinger upper
$0.5618
Bollinger MA
$0.5563
Bollinger lower
$0.5508

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: INDETERMINATE · weak signal at n=24
ρ(1) AUTOCORR+0.072within white-noise band
ρ(2) AUTOCORR+0.133lag-2 not significant
H · HURST EXPONENT0.893strongly persistent
OLS TREND · t-STAT+7.141significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.893STRONGLY 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+0.072k=2+0.133k=3-0.297k=4-0.200k=5-0.1100+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 CLASSIFICATIONINDETERMINATE · weak signal at n=24from Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.86very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=7.14)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)
$280.41k
Open interest (USD)
$2.80M
Vol / OI (turnover)
0.10x
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 0.65% · worst -0.65% · typical |Δ| 0.28%BULLISH SESSION +1.90%BEST+0.65%09hWORST-0.65%12hTYPICAL |Δ|0.28%mean absoluteCUMULATIVE+1.90%Σ signed ΔSTREAK↘ 2down-runASIA · 00-08 UTCμ -0.00% · Σ -0.01%EUROPE · 08-16 UTCμ +0.05% · Σ +0.37%US · 16-24 UTCμ +0.19% · Σ +1.53%CUMULATIVE Δ PATH · final +1.90%+2.94%0.00%0.22% · 14h0.22% · 14h0.22%14h0.24% · 15h0.24% · 15h0.24%15h-0.31% · 16h-0.31% · 16h-0.31%16h0.12% · 17h0.12% · 17h0.12%17h0.37% · 18h0.37% · 18h0.37%18h0.56% · 19h0.56% · 19h0.56%19h0.49% · 20h0.49% · 20h0.49%20h0.15% · 21h0.15% · 21h0.15%21h0.14% · 22h0.14% · 22h0.14%22h0.02% · 23h0.02% · 23h0.02%23h-0.48% · 00h-0.48% · 00h-0.48%00h0.07% · 01h0.07% · 01h0.07%01h0.28% · 02h0.28% · 02h0.28%02h-0.07% · 03h-0.07% · 03h-0.07%03h-0.22% · 04h-0.22% · 04h-0.22%04h-0.13% · 05h-0.13% · 05h-0.13%05h0.12% · 06h0.12% · 06h0.12%06h0.41% · 07h0.41% · 07h0.41%07h0.31% · 08h0.31% · 08h0.31%08h0.65% · 09h0.65% · 09h0.65%09h★ BEST-0.57% · 10h-0.57% · 10h-0.57%10h0.19% · 11h0.19% · 11h0.19%11h-0.65% · 12h-0.65% · 12h-0.65%12h▼ WORST-0.01% · 13h-0.01% · 13h-0.01%13hTIME PATTERNUS-led (+1.53%)RUNSup max 7 · down max 3BREADTH67% up · 33% down
16 up bars · 8 down · best 0.65% · worst -0.65% · typical |Δ| 0.282%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +1.90%FINAL+1.90%MAX DD-1.05%RECOVERYONGOING · 4 barsMAX RUN-UP+2.98%UNDERWATER14/25 (56%)STREAK↘ 2EQUITY CURVE · end 1.0190 · peak 1.0298 · range [1.0000, 1.0298]1.02981.0000break-even = 1★ PEAK 1.0298UNDERWATER DRAWDOWN · max -1.05% · moderate0%-1.05%▼ TROUGH -1.05%TOP DRAWDOWN PERIODS · 3 total#1 -1.05%bar 22-25 · 4 bars · ONGOING#2 -0.54%bar 12-19 · 8 bars · recovered#3 -0.31%bar 4-5 · 2 bars · recoveredDD SEVERITYmoderate (max -1.05%)RECOVERYongoing · 4 barsTIME UNDER WATER56% of session · 14/25 bars
final equity 1.0190 (1.90%) · max DD -1.05% · time-under-water 14/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +15 / −4 (79% positive) · μ=35.24 · σ=45.75PROFITABLE STRATEGYLAST -2.69 (-0.83σ vs μ)147.6273.810.00-73.81-147.62μ = 35.2463.9763.9772.3872.3867.7367.73147.62147.62123.69123.6936.7836.7819.5219.5210.8310.83-2.27-2.27-23.49-23.49-32.63-32.634.614.6124.8024.8026.0826.0853.6553.6528.0928.0941.3241.329.519.51-2.69-2.69v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -2.685 · range [-32.63, 147.62] · μ 35.238 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=29.4598 · σ=9.3533 · range [17.1420, 50.5645] · R²=0.309 RISING +75.05%σ EXTREME 31.75%LAST 47.843150.564542.208833.853225.497617.1420μ = 29.4598max 50.5645min 17.1420dataMA(3)OLS R²=0.31μ lineμ ± σ bandmaxmin
latest 47.84% · range [17.14%, 50.56%] · μ 29.46% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +13 / −6 (68% positive) · μ=0.112 · σ=0.272MOMENTUM / PERSISTENCELAST -0.306 (-1.54σ vs μ)0.5850.2920.000-0.292-0.585μ = 0.1120.1580.1580.3450.3450.3030.3030.2620.2620.4690.4690.3270.3270.1280.1280.0230.023-0.118-0.118-0.126-0.1260.0250.0250.1810.1810.2360.2360.5850.5850.4030.403-0.233-0.233-0.324-0.324-0.208-0.208-0.306-0.306v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.306 · |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
1.3687
p-VALUE (log scale)
0.5044
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainednormality not rejected
ρ

Ljung-Box(h=5)

FAIL TO REJECTns

H₀: No serial autocorrelation up to lag 5

STATISTIC
4.9054
p-VALUE (log scale)
0.4283
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
-1.9622
p-VALUE (log scale)
0.3132
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
-0.7872
p-VALUE (log scale)
0.4312
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (10 runs)
χ

KPSS (μ stationarity)

REJECT H₀*

H₀: p IS level-stationary

STATISTIC
0.6992
p-VALUE (log scale)
0.0136
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
0.6217
p-VALUE (log scale)
0.5342
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 1.189 ≈ 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=1.22e-5 · top T=6.00h (24.6%) · top-3 cover 64.3%BROADBAND · 3 CYCLEScumulative energy ↗ (3 bins above 2× noise)3.6e-52.7e-51.8e-59.0e-60.0e+0μ noise floor2× noise (significance)period 24.0 · power 3.31e-6 · 2.3% energyperiod 24.0 · power 3.31e-6 · 2.3% energyperiod 12.0 · power 3.21e-5 · 21.9% energyperiod 12.0 · power 3.21e-5 · 21.9% energyperiod 8.0 · power 1.12e-6 · 0.8% energyperiod 8.0 · power 1.12e-6 · 0.8% energyperiod 6.0 · power 3.61e-5 · 24.6% energyperiod 6.0 · power 3.61e-5 · 24.6% energyperiod 4.8 · power 1.07e-6 · 0.7% energyperiod 4.8 · power 1.07e-6 · 0.7% energyperiod 4.0 · power 9.24e-6 · 6.3% energyperiod 4.0 · power 9.24e-6 · 6.3% energyperiod 3.4 · power 3.65e-6 · 2.5% energyperiod 3.4 · power 3.65e-6 · 2.5% energyperiod 3.0 · power 7.31e-6 · 5.0% energyperiod 3.0 · power 7.31e-6 · 5.0% energyperiod 2.7 · power 6.02e-6 · 4.1% energyperiod 2.7 · power 6.02e-6 · 4.1% energyperiod 2.4 · power 8.19e-6 · 5.6% energyperiod 2.4 · power 8.19e-6 · 5.6% energyperiod 2.2 · power 1.24e-5 · 8.5% energyperiod 2.2 · power 1.24e-5 · 8.5% energyperiod 2.0 · power 2.62e-5 · 17.9% energyperiod 2.0 · power 2.62e-5 · 17.9% energy50% by T=4.8h#1 dominantT=6.00h#2T=12.00h#3T=2.00hT=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 ≈ 6.00h (freq 0.167) · concentrates 24.6% of total energy · Σ|X̂|²/n = 1.467e-4

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

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

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

§17 · Continuous Kelly

Continuous-Kelly growth · g(f) = E[ln(1 + f·r)]
f★ empirical 8.00× · g(f★) 0.000%/barparametric μ/σ² 35.13× · μ 0.000% · σ 0.01%
μ per barmean
0.000%
σ per barvol
0.01%
Empirical f★argmax g(f)
8.00×
from observed distribution
Parametric f★μ/σ²
35.13×
Merton continuous-time
Half-Kelly½ f★
4.00×
~⅔ of full growth, half the variance
Quarter-Kelly¼ f★
2.00×
industry default — survives model error
0.00%0.00%0.00%0.00%0.00%0.0×1.6×3.2×4.8×6.4×8.0×leverage fraction fexpected log-growth per bar
g(f) empiricalf★ argmaxparametric f★
Maximum expected log-growth from leveraging the historical return distribution. Empirical f★ argmaxes the sample expectation; parametric f★ = μ/σ² is Merton's continuous-time optimum.

§18 · MC equity fan

Bootstrapped equity fan at 3.00× leverage
Median CAGR/bar 0.000% · annualized Sharpe 7.17400 paths × 720 bars · leverage 3.00× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
0.003
annualized 7.17
μ per barafter L
0.000%
σ per barafter L
0.04%
VaR 95%5%
0.05%
per-bar worst-case
CVaR 95%ES
0.11%
mean tail loss
Max DD (median)MDD
-0.1%
0.93×0.96×0.99×1.02×1.04×1.07×0120240360480600720startbar #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 352% · APY 1000% · Sharpe 11.12σ ann 32% · Sortino 7.24 · n 4999 · ⚠ capped (n=4999 too small to support 8760-bar projection)
0%267%534%801%1068%1335%352.1%APR (simple)1000.0%APY (compound)31.7%Ann. vol σ1112.3%Sharpe (ann)724.0%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%
0.5310.5420.5530.5640.5750.586t-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 13:39:26 UTC
Snapshot age
1.5s
History points
25 hourly closes
Page rendered
2026-06-14 13:39:28 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
2e7d44a5e0b0ae87da8766dea51bc50fe28581bb75928acf65e9117fdd4f8cfc · 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
$6.96K
bid $2.61K · ask $4.35K
Depth within 10bp
$19.10K
bid $9.71K · ask $9.39K
Depth within 50bp
$89.77K
bid $43.77K · ask $46.00K
Mid price
0.556380
(best bid + best ask) / 2
Spread
2.9bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.024
ask-heavy
Imbalance (top-5)
-0.195
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-MNT/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.5564791.79bp0.5565003FILLED
BUY$10.00K0.5566845.47bp0.5569409FILLED
BUY$100.00K0.55717414.27bp0.55747020PARTIAL
SELL$1.00K0.5562791.81bp0.5561404FILLED
SELL$10.00K0.5560156.55bp0.55579010FILLED
SELL$100.00K0.55567412.68bp0.55500020PARTIAL

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-MNT/carry · same metrics, JSON

Volume profile

real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$0.000000–$1.000025$523.60K

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

Order flow

BID-LEAN · +0.211 · Hyperliquid candles
Bars (buy / sell)
16 / 8
1 unclassified
Buy weight
$305.26K
real volume
Sell weight
$198.79K
real volume
Net delta
$106.48K
buyers net
Imbalance
21.12%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
21.1%
two-sided / balanced
Impact (|Δp|/vol)
needs real volume

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

Cascade clusters

DOWN · 2 found · deepest 1.04% · 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 12:00:00Z1.0h0.5624700.5566101.042%2
#22026-06-14 10:00:00Z0ms0.5624700.5592500.572%1

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

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
31.66%
σ per bar = 0.000138
Mean return (annualised)
352.11%
μ per bar = 0.000001
Sharpe (rf=0)
11.12
annualised; risk-free assumed zero
Max drawdown
1.30%
peak 0.56 → trough 0.56 over 1878 bars

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