HYPERLIQUID · PERPETUAL FUTURES

GOAT

GOAT-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-goat · fresh · feed 3s old
24h sparkline · 60 pts 0.70%
realized vol (ann.)
51.46%
max drawdown
1.44%
sharpe
-25.98
ulcer index
0.81%
RMS drawdown
pain index
0.69%
mean drawdown
mod. VaR 95%
0.04%
Cornish-Fisher
martin ratio
-1657.46
ret / ulcer
CDaR 95%
1.34%
cond. drawdown
gain/pain
0.95
Σgain / Σ|loss|
sterling
-997.39
ret / CDaR
omega (θ=0)
0.95
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
0.70%
flow lean
carry
longs_pay
10.95%
signalNEUTRALconfidence 35%
  • funding: longs pay — perp shorts get paid to wait
Same bundle via M2M API: /api/m2m/hl-goat/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH2.5s--:--:-- 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
$0.014
24h Δ · live
0.70%
24h vol · live
$0.1M
GOAT · live 24h price
n=25 · μ=0.0136 · σ=0.0001 · range [0.0134, 0.0137] · R²=0.084 RISING +0.65%σ LOW 0.60%LAST 0.01350.01370.01360.01360.01350.0134μ = 0.0136max 0.0137min 0.0134dataMA(5)OLS R²=0.08μ lineμ ± σ bandmaxminlive endpoint
25 closes · last $0.01
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=9,030,048 · μ=361201.9 · σ=446036.1 · CV=1.23BURSTY · concentratedcumulative energy ↗ · 50% by h=70411,866823,7321,235,5981,647,464μ = 3612021,647,46450%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 1647464 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
snapshot age
2.5s
$mark $
$0.0135
$mid $
$0.0135
prev-day close
$0.0134
Δ24h Δ %
+0.700%
$24h vol $
$122.66k
open interest $
$217.53k
%funding (1h)
0.001250%
%funding (yr)
+10.95%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=0.0136 · σ=0.0001 · range [0.0134, 0.0137] · R²=0.084 RISING +0.65%σ LOW 0.60%LAST 0.01350.01370.01360.01360.01350.0134μ = 0.0136max 0.0137min 0.0134dataMA(5)OLS R²=0.08μ lineμ ± σ bandmaxmin
mark $0.0135 · 24h 0.70% · range $[0.0134, 0.0137]
OHLC candles · hourly
n=25 · up 16 · down 9 (64% up) · range [0.0134, 0.0139] · σ=0.0001 · CV=0.01 · bodyµ=40%BULLISH +0.34%CLOSE 0.0135 vs OPEN 0.0135 (+0.34%)&#9650; CLOSE 0.01350.01390.01380.01370.01350.0134μ close = 0.0136O0.013 H0.013 L0.013 C0.013 (-0.30%)O0.013 H0.013 L0.013 C0.013 (-0.30%)O0.013 H0.013 L0.013 C0.013 (+0.00%)O0.013 H0.013 L0.013 C0.013 (+0.00%)O0.013 H0.013 L0.013 C0.013 (+0.31%)O0.013 H0.013 L0.013 C0.013 (+0.31%)O0.013 H0.014 L0.013 C0.013 (+0.26%)O0.013 H0.014 L0.013 C0.013 (+0.26%)1.2%O0.014 H0.014 L0.013 C0.014 (+1.18%)O0.014 H0.014 L0.013 C0.014 (+1.18%)O0.014 H0.014 L0.014 C0.014 (-0.28%)O0.014 H0.014 L0.014 C0.014 (-0.28%)O0.014 H0.014 L0.014 C0.014 (-0.40%)O0.014 H0.014 L0.014 C0.014 (-0.40%)O0.014 H0.014 L0.014 C0.014 (+0.21%)O0.014 H0.014 L0.014 C0.014 (+0.21%)O0.014 H0.014 L0.014 C0.014 (+0.04%)O0.014 H0.014 L0.014 C0.014 (+0.04%)O0.014 H0.014 L0.014 C0.014 (+0.54%)O0.014 H0.014 L0.014 C0.014 (+0.54%)O0.014 H0.014 L0.014 C0.014 (+0.04%)O0.014 H0.014 L0.014 C0.014 (+0.04%)O0.014 H0.014 L0.014 C0.014 (-0.37%)O0.014 H0.014 L0.014 C0.014 (-0.37%)O0.014 H0.014 L0.014 C0.014 (-0.48%)O0.014 H0.014 L0.014 C0.014 (-0.48%)O0.014 H0.014 L0.014 C0.014 (+0.58%)O0.014 H0.014 L0.014 C0.014 (+0.58%)O0.014 H0.014 L0.014 C0.014 (+0.00%)O0.014 H0.014 L0.014 C0.014 (+0.00%)O0.014 H0.014 L0.014 C0.014 (+0.25%)O0.014 H0.014 L0.014 C0.014 (+0.25%)O0.014 H0.014 L0.014 C0.014 (-1.06%)O0.014 H0.014 L0.014 C0.014 (-1.06%)O0.014 H0.014 L0.013 C0.014 (+0.42%)O0.014 H0.014 L0.013 C0.014 (+0.42%)O0.014 H0.014 L0.014 C0.014 (+0.26%)O0.014 H0.014 L0.014 C0.014 (+0.26%)O0.014 H0.014 L0.014 C0.014 (-0.60%)O0.014 H0.014 L0.014 C0.014 (-0.60%)O0.014 H0.014 L0.014 C0.014 (+0.20%)O0.014 H0.014 L0.014 C0.014 (+0.20%)O0.014 H0.014 L0.014 C0.014 (+0.05%)O0.014 H0.014 L0.014 C0.014 (+0.05%)O0.014 H0.014 L0.014 C0.014 (-0.16%)O0.014 H0.014 L0.014 C0.014 (-0.16%)O0.014 H0.014 L0.014 C0.014 (+0.23%)O0.014 H0.014 L0.014 C0.014 (+0.23%)O0.014 H0.014 L0.014 C0.014 (-0.21%)O0.014 H0.014 L0.014 C0.014 (-0.21%)#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=9,030,048 · μ=361201.9 · σ=446036.1 · CV=1.23BURSTY · concentratedcumulative energy &nearr; · 50% by h=70411,866823,7321,235,5981,647,464μ = 361202261,898 · 15.9% peak261,898 · 15.9% peak135,876 · 8.2% peak135,876 · 8.2% peak59,146 · 3.6% peak59,146 · 3.6% peak383,831 · 23.3% peak383,831 · 23.3% peak1,647,4641,647,464 · 100.0% peak1,647,464 · 100.0% peak1,446,054 · 87.8% peak1,446,054 · 87.8% peak1,351,909 · 82.1% peak1,351,909 · 82.1% peak213,202 · 12.9% peak213,202 · 12.9% peak350,735 · 21.3% peak350,735 · 21.3% peak289,322 · 17.6% peak289,322 · 17.6% peak214,405 · 13.0% peak214,405 · 13.0% peak234,228 · 14.2% peak234,228 · 14.2% peak345,546 · 21.0% peak345,546 · 21.0% peak286,756 · 17.4% peak286,756 · 17.4% peak43,474 · 2.6% peak43,474 · 2.6% peak167,063 · 10.1% peak167,063 · 10.1% peak129,583 · 7.9% peak129,583 · 7.9% peak549,575 · 33.4% peak549,575 · 33.4% peak266,090 · 16.2% peak266,090 · 16.2% peak54,291 · 3.3% peak54,291 · 3.3% peak26,294 · 1.6% peak26,294 · 1.6% peak423,563 · 25.7% peak423,563 · 25.7% peak54,629 · 3.3% peak54,629 · 3.3% peak70,584 · 4.3% peak70,584 · 4.3% peak24,530 · 1.5% peak24,530 · 1.5% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 9030048 · peak 1647464 · CV 1.23

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=0.0003 · σ=0.0043 · skew=0.59 (right-skewed) · kurt=0.86 (mesokurtic)54310 1-82.35bpbin -82.35bp · n=1 · 20.0% peakbin -82.35bp · n=1 · 20.0% peak-63.60bp 4-44.86bpbin -44.86bp · n=4 · 80.0% peakbin -44.86bp · n=4 · 80.0% peak 3-26.11bpbin -26.11bp · n=3 · 60.0% peakbin -26.11bp · n=3 · 60.0% peak 4-7.36bpbin -7.36bp · n=4 · 80.0% peakbin -7.36bp · n=4 · 80.0% peak 411.38bpbin 11.38bp · n=4 · 80.0% peakbin 11.38bp · n=4 · 80.0% peak 530.13bpbin 30.13bp · n=5 · 100.0% peakbin 30.13bp · n=5 · 100.0% peak 148.88bpbin 48.88bp · n=1 · 20.0% peakbin 48.88bp · n=1 · 20.0% peak 167.62bpbin 67.62bp · n=1 · 20.0% peakbin 67.62bp · n=1 · 20.0% peak86.37bp105.11bp 1123.86bpbin 123.86bp · n=1 · 20.0% peakbin 123.86bp · n=1 · 20.0% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 12 · negative 10
Q-Q plot · standardised rₜ vs N(0,1)
n=24 · skew=0.62 · kurt=1.31 · near 21 / mid 3 / far 0 · OLS slope=1.00 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
$0.0135
Mid price
$0.0135
24h change
+0.70%
Mark–mid spread
2.96 bps
Prev-day close
$0.0134

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25LEFT-SKEWED (G₁=-0.73)
μ MEAN0.0136$95% CI: [0.0136$, 0.0136$]
σ STD DEV0.0001$σ² = 0.000×10⁻⁴ · CV = 0.60%
med MEDIAN0.0136$Q₁ 0.0136$ · Q₃ 0.0137$
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.0134$Q₁ 0.0136$med 0.0136$Q₃ 0.0137$max 0.0137$μ
SKEWNESS · G₁-0.727left-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂-0.374mesokurtic · normal-like
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.13
σ × 1.349 ↔ IQRdiverges from normalratio = 1.32
range ↔ σconcentrated (range < 4σ)range / σ = 3.60
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=5.50
μᵣ MEAN / h+0.026877%drift is positive per h · |μ|/σ = 0.059
σᵣ STD / h0.457693%σ²ᵣ = 0.209×10⁻⁴ · CV = 17.03×
σ ANNUALISED42.84%/yrscaled by √8760 (hourly→yearly) · 0.458%/h base
RISK-ADJUSTED PERFORMANCE
SHARPE (annualised)5.50excellent · top-decile
-2-10+1+2+3+4
SORTINO (annualised)5.79strong downside-adjusted
-2-10+1+2+3+4
CALMAR (return / max-DD)100.00exceptional DD control
-20+2+4+6
RETURN-DISTRIBUTION SHAPE
SKEWNESS · G₁0.66right-skewed · heavy positive tail
-3-10+1+3
EXCESS KURTOSIS · G₂1.94leptokurtic · fat tails
-30+2+4+6
SORTINO vs SHARPEdownside ≈ total vol · symmetricSoR / SR = 1.05
CALMAR · DD CONTROLdrawdown control exceptionalCR = 100.00
EXPECTED EDGE+235.44%/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 RISKMODERATE · 95% VaR 0.49%
VaR₉₅ (h)0.493%5% prob of larger adverse h move
VaR₉₉ (h)0.821%1% prob · extreme-tail threshold
ES₉₅ (CVaR)0.707%expected loss given 5% tail event
MAX DRAWDOWN1.33%15h from peak to trough
TAIL-RISK LADDER (h losses)
0 · no lossVaR₉₅0.493%VaR₉₉0.821%ES₉₅0.707%worst tail ←→ zero loss
MAX DRAWDOWN PROFILE
PEAK1.37$
1.33% drawdown over 15h
1.35$TROUGH
ES / VaR · TAIL THICKNESSmild tail heaviness|ES₉₅| / |VaR₉₅| = 1.43× (normal ≈ 1.25)
VaR₉₉ / VaR₉₅ · CONCENTRATIONextreme-tail dominated · severe outliersratio = 1.66× (normal ≈ 1.41)
DRAWDOWN · CAPITAL DURATIONmoderate drawdownrecovery needed: +1.35% (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)
49.9 · neutral
Bollinger %B
0.014 · within band
Bollinger upper
$0.0137
Bollinger MA
$0.0136
Bollinger lower
$0.0135

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MARTINGALE · UNPREDICTABLE
ρ(1) AUTOCORR-0.001within white-noise band
ρ(2) AUTOCORR-0.323lag-2 not significant
H · HURST EXPONENT0.622persistent
OLS TREND · t-STAT+1.451fails 5% test
HURST EXPONENT [0, 1]
H = 0.622PERSISTENT
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=1-0.001k=2-0.323k=3-0.151k=4+0.151k=5+0.2820+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 CLASSIFICATIONMARTINGALE · UNPREDICTABLEfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.24moderate · 1-step ahead inferrable|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCENOT SIGNIFICANT (|t|=1.45)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)
$122.66k
Open interest (USD)
$217.53k
Vol / OI (turnover)
0.56x
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 1.33% · worst -0.92% · typical |Δ| 0.34%MILD BULLISH +0.65%BEST+1.33%16hWORST-0.92%04hTYPICAL |Δ|0.34%mean absoluteCUMULATIVE+0.65%Σ signed ΔSTREAK↘ 3down-runASIA · 00-08 UTCμ -0.06% · Σ -0.51%EUROPE · 08-16 UTCμ +0.00% · Σ +0.04%US · 16-24 UTCμ +0.14% · Σ +1.11%CUMULATIVE Δ PATH · final +0.65%+1.99%-0.16%-0.16% · 13h-0.16% · 13h-0.16%13h0.21% · 14h0.21% · 14h0.21%14h0.33% · 15h0.33% · 15h0.33%15h1.33% · 16h1.33% · 16h1.33%16h★ BEST-0.12% · 17h-0.12% · 17h-0.12%17h-0.43% · 18h-0.43% · 18h-0.43%18h0.18% · 19h0.18% · 19h0.18%19h0.00% · 20h0.00% · 20h·20h0.65% · 21h0.65% · 21h0.65%21h0.00% · 22h0.00% · 22h·22h-0.50% · 23h-0.50% · 23h-0.50%23h-0.38% · 00h-0.38% · 00h-0.38%00h0.52% · 01h0.52% · 01h0.52%01h0.14% · 02h0.14% · 02h0.14%02h0.05% · 03h0.05% · 03h0.05%03h-0.92% · 04h-0.92% · 04h-0.92%04h▼ WORST0.34% · 05h0.34% · 05h0.34%05h0.21% · 06h0.21% · 06h0.21%06h-0.47% · 07h-0.47% · 07h-0.47%07h0.10% · 08h0.10% · 08h0.10%08h0.32% · 09h0.32% · 09h0.32%09h-0.19% · 10h-0.19% · 10h-0.19%10h-0.23% · 11h-0.23% · 11h-0.23%11h-0.34% · 12h-0.34% · 12h-0.34%12hTIME PATTERNUS-led (+1.11%)RUNSup max 3 · down max 3BREADTH50% up · 42% down · 8% flat
12 up bars · 10 down · best 1.33% · worst -0.92% · typical |Δ| 0.338%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +0.62%FINAL+0.62%MAX DD-1.35%RECOVERYONGOING · 14 barsMAX RUN-UP+2.00%UNDERWATER19/25 (76%)STREAK↘ 3EQUITY CURVE · end 1.0062 · peak 1.0200 · range [0.9984, 1.0200]1.02000.9984break-even = 1★ PEAK 1.0200UNDERWATER DRAWDOWN · max -1.35% · moderate0%-1.35%▼ TROUGH -1.35%TOP DRAWDOWN PERIODS · 3 total#1 -1.35%bar 12-25 · 14 bars · ONGOING#2 -0.55%bar 6-9 · 4 bars · recovered#3 -0.16%bar 2-2 · 1 bars · recoveredDD SEVERITYmoderate (max -1.35%)RECOVERYongoing · 14 barsTIME UNDER WATER76% of session · 19/25 bars
final equity 1.0062 (0.62%) · max DD -1.35% · time-under-water 19/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +9 / −10 (47% positive) · μ=2.01 · σ=23.71MIXED EDGELAST -43.27 (-1.91σ vs μ)43.2721.640.00-21.64-43.27μ = 2.0129.1329.1339.1739.1733.2433.2439.7139.7112.0712.07-3.80-3.80-1.95-1.959.879.8714.5314.53-7.09-7.09-32.80-32.80-7.40-7.4010.6610.66-20.79-20.79-22.10-22.10-12.75-12.7515.0715.07-13.32-13.32-43.27-43.27v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -43.273 · range [-43.27, 39.71] · μ 2.009 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=43.7621 · σ=9.9601 · range [27.3175, 59.1833] · R²=0.393 FALLING -53.06%σ EXTREME 22.76%LAST 27.317559.183351.216943.250435.284027.3175μ = 43.7621max 59.1833min 27.3175dataMA(3)OLS R²=0.39μ lineμ ± σ bandmaxmin
latest 27.32% · range [27.32%, 59.18%] · μ 43.76% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +6 / −13 (32% positive) · μ=-0.098 · σ=0.186MEAN-REVERSIONLAST 0.062 (+0.86σ vs μ)0.4680.2340.000-0.234-0.468μ = -0.098-0.001-0.001-0.005-0.0050.0060.006-0.077-0.077-0.072-0.072-0.070-0.0700.2250.225-0.000-0.0000.0780.0780.0930.0930.0380.038-0.352-0.352-0.147-0.147-0.361-0.361-0.468-0.468-0.266-0.266-0.225-0.225-0.319-0.3190.0620.062v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 0.062 · |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
5.4763
p-VALUE (log scale)
0.0647
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
6.9770
p-VALUE (log scale)
0.2212
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
-2.5036
p-VALUE (log scale)
0.1195
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
-0.4007
p-VALUE (log scale)
0.6887
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (11 runs)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.2596
p-VALUE (log scale)
0.2526
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
-0.6208
p-VALUE (log scale)
0.5347
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.811 ≈ 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=2.03e-5 · top T=4.80h (23.2%) · top-3 cover 54.4%1 SIGNIFICANT CYCLEcumulative energy ↗ (1 bin above 2× noise)5.7e-54.3e-52.8e-51.4e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 1.29e-5 · 5.3% energyperiod 24.0 · power 1.29e-5 · 5.3% energyperiod 12.0 · power 7.45e-6 · 3.1% energyperiod 12.0 · power 7.45e-6 · 3.1% energyperiod 8.0 · power 1.45e-5 · 5.9% energyperiod 8.0 · power 1.45e-5 · 5.9% energyperiod 6.0 · power 3.58e-5 · 14.7% energyperiod 6.0 · power 3.58e-5 · 14.7% energyperiod 4.8 · power 5.67e-5 · 23.2% energyperiod 4.8 · power 5.67e-5 · 23.2% energyperiod 4.0 · power 1.99e-5 · 8.2% energyperiod 4.0 · power 1.99e-5 · 8.2% energyperiod 3.4 · power 2.99e-5 · 12.3% energyperiod 3.4 · power 2.99e-5 · 12.3% energyperiod 3.0 · power 7.23e-7 · 0.3% energyperiod 3.0 · power 7.23e-7 · 0.3% energyperiod 2.7 · power 4.02e-5 · 16.5% energyperiod 2.7 · power 4.02e-5 · 16.5% energyperiod 2.4 · power 1.88e-6 · 0.8% energyperiod 2.4 · power 1.88e-6 · 0.8% energyperiod 2.2 · power 1.80e-5 · 7.4% energyperiod 2.2 · power 1.80e-5 · 7.4% energyperiod 2.0 · power 5.78e-6 · 2.4% energyperiod 2.0 · power 5.78e-6 · 2.4% energy50% by T=4.8h#1 dominantT=4.80h#2T=2.67h#3T=6.00hT=2hT=3hT=4hT=6hT=8hT=12hT=16hT=24h← shorter cycle (high freq · Nyquist=½) · period T (bars per cycle) · longer cycle (low freq · 1/n) →#1 dominant#2 peak#3 peak> 2× noisenoiseμ floor2μ sig.cum energy
dominant period ≈ 4.80h (freq 0.208) · concentrates 23.2% of total energy · Σ|X̂|²/n = 2.438e-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
-45.14×
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 -22.92400 paths × 720 bars · leverage 0.10× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
-0.010
annualized -22.92
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 -25.05σ ann 55% · Sortino -15.87 · n 4999 · ⚠ capped (n=4999 too small to support 8760-bar projection)
-3006%-2391%-1777%-1162%-548%67%-1000.0%APR (simple)-100.0%APY (compound)55.5%Ann. vol σ-2504.7%Sharpe (ann)-1586.9%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%
0.0130.0130.0130.0140.0140.014t-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 12:18:58 UTC
Snapshot age
2.5s
History points
25 hourly closes
Page rendered
2026-06-14 12:19:01 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
3ce5d08c1ec628c3ee9be99297acad4d21986a9eeb431408024f2515596aa95f · 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
$1.44K
bid $810 · ask $630
Depth within 10bp
$4.18K
bid $2.12K · ask $2.05K
Depth within 50bp
$13.45K
bid $6.80K · ask $6.65K
Mid price
0.013535
(best bid + best ask) / 2
Spread
6.6bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.187
ask-heavy
Imbalance (top-5)
-0.101
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-goat/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.0135424.96bp0.0135462FILLED
BUY$10.00K0.01358637.40bp0.01368516FILLED
BUY$100.00K0.013720136.40bp0.01388620PARTIAL
SELL$1.00K0.0135304.40bp0.0135253FILLED
SELL$10.00K0.01348834.74bp0.01338516FILLED
SELL$100.00K0.01342085.35bp0.01329020PARTIAL

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-goat/carry · same metrics, JSON

Volume profile

real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$0.000000–$1.000025$9.03M

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

Order flow

BID-LEAN · +0.122 · Hyperliquid candles
Bars (buy / sell)
14 / 10
1 unclassified
Buy weight
$4.92M
real volume
Sell weight
$3.85M
real volume
Net delta
$1.07M
buyers net
Imbalance
12.25%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
12.2%
two-sided / balanced
Impact (|Δp|/vol)
needs real volume

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

Cascade clusters

DOWN · 4 found · deepest 0.91% · 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 04:00:00Z1.0h0.0136910.0135660.913%2
#22026-06-14 00:00:00Z0ms0.0137140.0135940.875%1
#32026-06-14 12:00:00Z0ms0.0136340.0135310.755%1

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

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
55.49%
σ per bar = 0.000242
Mean return (annualised)
-1389.94%
μ per bar = -0.000003
Sharpe (rf=0)
-25.05
annualised; risk-free assumed zero
Max drawdown
1.73%
peak 0.01 → trough 0.01 over 923 bars

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