HYPERLIQUID · PERPETUAL FUTURES

FOGO

FOGO-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-fogo · fresh · feed 3s old
24h sparkline · 60 pts -3.14%
realized vol (ann.)
71.45%
max drawdown
2.00%
sharpe
-27.06
ulcer index
0.63%
RMS drawdown
pain index
0.48%
mean drawdown
mod. VaR 95%
0.03%
Cornish-Fisher
martin ratio
-3056.81
ret / ulcer
CDaR 95%
1.83%
cond. drawdown
gain/pain
0.95
Σgain / Σ|loss|
sterling
-1053.46
ret / CDaR
omega (θ=0)
0.95
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
-3.14%
flow lean
carry
longs_pay
10.95%
signalNEUTRALconfidence 40%
  • 24h change -3.14%
  • funding: longs pay — perp shorts get paid to wait
  • mark cheap vs HL oracle by 20.8bps — long bias
Same bundle via M2M API: /api/m2m/hl-FOGO/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH2.7s--:--:-- 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
$0.012
24h Δ · live
-3.14%
24h vol · live
$0.0M
FOGO · live 24h price
n=25 · μ=0.0127 · σ=0.0001 · range [0.0125, 0.0130] · R²=0.876 FALLING -3.19%σ NORMAL 1.15%LAST 0.01250.01300.01280.01270.01260.0125μ = 0.0127max 0.0130min 0.0125dataMA(5)OLS R²=0.88μ 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=3,862,453 · μ=154498.1 · σ=136867.0 · CV=0.89BURSTYcumulative energy ↗ · 50% by h=120142,271284,542426,813569,084μ = 154498569,08450%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 569084 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
snapshot age
2.7s
$mark $
$0.0125
$mid $
$0.0125
prev-day close
$0.0129
Δ24h Δ %
-3.140%
$24h vol $
$47.28k
open interest $
$358.31k
%funding (1h)
0.001250%
%funding (yr)
+10.95%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=0.0127 · σ=0.0001 · range [0.0125, 0.0130] · R²=0.876 FALLING -3.19%σ NORMAL 1.15%LAST 0.01250.01300.01280.01270.01260.0125μ = 0.0127max 0.0130min 0.0125dataMA(5)OLS R²=0.88μ lineμ ± σ bandmaxmin
mark $0.0125 · 24h -3.14% · range $[0.0125, 0.0130]
OHLC candles · hourly
n=25 · up 9 · down 16 (36% up) · range [0.0124, 0.0131] · σ=0.0001 · CV=0.01 · bodyµ=44%STRONG BEARISH -3.72%CLOSE 0.0125 vs OPEN 0.0129 (-3.72%)&#9660; CLOSE 0.01250.01310.01290.01270.01260.0124μ close = 0.0127O0.013 H0.013 L0.013 C0.013 (-0.54%)O0.013 H0.013 L0.013 C0.013 (-0.54%)O0.013 H0.013 L0.013 C0.013 (+0.58%)O0.013 H0.013 L0.013 C0.013 (+0.58%)O0.013 H0.013 L0.013 C0.013 (-0.29%)O0.013 H0.013 L0.013 C0.013 (-0.29%)O0.013 H0.013 L0.013 C0.013 (-0.16%)O0.013 H0.013 L0.013 C0.013 (-0.16%)O0.013 H0.013 L0.013 C0.013 (-0.62%)O0.013 H0.013 L0.013 C0.013 (-0.62%)O0.013 H0.013 L0.013 C0.013 (+0.66%)O0.013 H0.013 L0.013 C0.013 (+0.66%)O0.013 H0.013 L0.013 C0.013 (-0.47%)O0.013 H0.013 L0.013 C0.013 (-0.47%)O0.013 H0.013 L0.013 C0.013 (-0.16%)O0.013 H0.013 L0.013 C0.013 (-0.16%)O0.013 H0.013 L0.013 C0.013 (-0.71%)O0.013 H0.013 L0.013 C0.013 (-0.71%)O0.013 H0.013 L0.013 C0.013 (-0.24%)O0.013 H0.013 L0.013 C0.013 (-0.24%)O0.013 H0.013 L0.013 C0.013 (+0.45%)O0.013 H0.013 L0.013 C0.013 (+0.45%)O0.013 H0.013 L0.013 C0.013 (+0.09%)O0.013 H0.013 L0.013 C0.013 (+0.09%)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 (+0.36%)O0.013 H0.013 L0.013 C0.013 (+0.36%)-1.1%O0.013 H0.013 L0.013 C0.013 (-1.09%)O0.013 H0.013 L0.013 C0.013 (-1.09%)O0.013 H0.013 L0.013 C0.013 (-0.72%)O0.013 H0.013 L0.013 C0.013 (-0.72%)O0.013 H0.013 L0.013 C0.013 (-0.51%)O0.013 H0.013 L0.013 C0.013 (-0.51%)O0.013 H0.013 L0.013 C0.013 (-0.22%)O0.013 H0.013 L0.013 C0.013 (-0.22%)O0.013 H0.013 L0.013 C0.013 (+0.25%)O0.013 H0.013 L0.013 C0.013 (+0.25%)O0.013 H0.013 L0.013 C0.013 (+0.11%)O0.013 H0.013 L0.013 C0.013 (+0.11%)O0.013 H0.013 L0.013 C0.013 (-0.19%)O0.013 H0.013 L0.013 C0.013 (-0.19%)O0.013 H0.013 L0.013 C0.013 (+0.02%)O0.013 H0.013 L0.013 C0.013 (+0.02%)O0.013 H0.013 L0.013 C0.013 (-0.26%)O0.013 H0.013 L0.013 C0.013 (-0.26%)O0.013 H0.013 L0.013 C0.013 (-0.11%)O0.013 H0.013 L0.013 C0.013 (-0.11%)O0.013 H0.013 L0.012 C0.012 (-0.92%)O0.013 H0.013 L0.012 C0.012 (-0.92%)#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=3,862,453 · μ=154498.1 · σ=136867.0 · CV=0.89BURSTYcumulative energy &nearr; · 50% by h=120142,271284,542426,813569,084μ = 154498185,247 · 32.6% peak185,247 · 32.6% peak192,888 · 33.9% peak192,888 · 33.9% peak203,933 · 35.8% peak203,933 · 35.8% peak121,685 · 21.4% peak121,685 · 21.4% peak45,170 · 7.9% peak45,170 · 7.9% peak266,555 · 46.8% peak266,555 · 46.8% peak69,782 · 12.3% peak69,782 · 12.3% peak161,597 · 28.4% peak161,597 · 28.4% peak61,810 · 10.9% peak61,810 · 10.9% peak390,439 · 68.6% peak390,439 · 68.6% peak122,194 · 21.5% peak122,194 · 21.5% peak114,868 · 20.2% peak114,868 · 20.2% peak88,613 · 15.6% peak88,613 · 15.6% peak43,085 · 7.6% peak43,085 · 7.6% peak145,464 · 25.6% peak145,464 · 25.6% peak569,084569,084 · 100.0% peak569,084 · 100.0% peak19,598 · 3.4% peak19,598 · 3.4% peak40,327 · 7.1% peak40,327 · 7.1% peak36,194 · 6.4% peak36,194 · 6.4% peak94,432 · 16.6% peak94,432 · 16.6% peak185,983 · 32.7% peak185,983 · 32.7% peak83,559 · 14.7% peak83,559 · 14.7% peak104,809 · 18.4% peak104,809 · 18.4% peak60,415 · 10.6% peak60,415 · 10.6% peak454,722 · 79.9% peak454,722 · 79.9% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 3862453 · peak 569084 · CV 0.89

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=-0.0013 · σ=0.0044 · skew=0.19 (symmetric) · kurt=-0.79 (mesokurtic)54310 2-84.00bpbin -84.00bp · n=2 · 40.0% peakbin -84.00bp · n=2 · 40.0% peak 2-70.20bpbin -70.20bp · n=2 · 40.0% peakbin -70.20bp · n=2 · 40.0% peak 1-56.41bpbin -56.41bp · n=1 · 20.0% peakbin -56.41bp · n=1 · 20.0% peak 4-42.61bpbin -42.61bp · n=4 · 80.0% peakbin -42.61bp · n=4 · 80.0% peak-28.82bp 5-15.02bpbin -15.02bp · n=5 · 100.0% peakbin -15.02bp · n=5 · 100.0% peak 2-1.23bpbin -1.23bp · n=2 · 40.0% peakbin -1.23bp · n=2 · 40.0% peak 312.57bpbin 12.57bp · n=3 · 60.0% peakbin 12.57bp · n=3 · 60.0% peak 126.36bpbin 26.36bp · n=1 · 20.0% peakbin 26.36bp · n=1 · 20.0% peak 140.16bpbin 40.16bp · n=1 · 20.0% peakbin 40.16bp · n=1 · 20.0% peak 153.95bpbin 53.95bp · n=1 · 20.0% peakbin 53.95bp · n=1 · 20.0% peak 267.75bpbin 67.75bp · n=2 · 40.0% peakbin 67.75bp · n=2 · 40.0% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 9 · negative 15
Q-Q plot · standardised rₜ vs N(0,1)
n=24 · skew=0.12 · kurt=-0.77 · near 23 / mid 1 / far 0 · OLS slope=1.02 intercept=-0.00MATCHES NORMAL · WELL-BEHAVEDUPPER 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
$0.0125
Mid price
$0.0125
24h change
-3.14%
Mark–mid spread
0.00 bps
Prev-day close
$0.0129

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25PLATYKURTIC · THIN TAILS (G₂=-1.54)
μ MEAN0.0127$95% CI: [0.0127$, 0.0128$]
σ STD DEV0.0001$σ² = 0.000×10⁻⁴ · CV = 1.15%
med MEDIAN0.0128$Q₁ 0.0126$ · Q₃ 0.0129$
FIVE-NUMBER SUMMARY · BOX PLOT
min 0.0125$Q₁ 0.0126$med 0.0128$Q₃ 0.0129$max 0.0130$μ
SKEWNESS · G₁-0.077approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.542platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.33
σ × 1.349 ↔ IQRdiverges from normalratio = 0.69
range ↔ σconcentrated (range < 4σ)range / σ = 3.36
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=-27.64
μᵣ MEAN / h-0.135158%drift is negative per h · |μ|/σ = 0.295
σᵣ STD / h0.457751%σ²ᵣ = 0.210×10⁻⁴ · CV = 3.39×
σ ANNUALISED42.84%/yrscaled by √8760 (hourly→yearly) · 0.458%/h base
RISK-ADJUSTED PERFORMANCE
SHARPE (annualised)-27.64negative edge
-2-10+1+2+3+4
SORTINO (annualised)-25.26downside drag
-2-10+1+2+3+4
CALMAR (return / max-DD)-100.00drawdown overwhelms returns
-20+2+4+6
RETURN-DISTRIBUTION SHAPE
SKEWNESS · G₁0.13approximately symmetric
-3-10+1+3
EXCESS KURTOSIS · G₂-0.66mesokurtic · normal-like tails
-30+2+4+6
SORTINO vs SHARPEdownside vol < total vol · favourableSoR / SR = 0.91
CALMAR · DD CONTROLdrawdown > returns · adverseCR = -100.00
EXPECTED EDGE-1183.98%/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 0.84%
VaR₉₅ (h)0.845%5% prob of larger adverse h move
VaR₉₉ (h)0.900%1% prob · extreme-tail threshold
ES₉₅ (CVaR)0.890%expected loss given 5% tail event
MAX DRAWDOWN3.80%23h from peak to trough
TAIL-RISK LADDER (h losses)
0 · no lossVaR₉₅0.845%VaR₉₉0.900%ES₉₅0.890%worst tail ←→ zero loss
MAX DRAWDOWN PROFILE
PEAK1.30$
3.80% drawdown over 23h
1.25$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: +3.95% (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)
30.5 · neutral
Bollinger %B
0.102 · within band
Bollinger upper
$0.0129
Bollinger MA
$0.0127
Bollinger lower
$0.0124

§8 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ADF rejects unit root
ρ(1) AUTOCORR-0.160within white-noise band
ρ(2) AUTOCORR-0.015lag-2 not significant
H · HURST EXPONENT0.596persistent
OLS TREND · t-STAT-12.768significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.596PERSISTENT
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=1-0.160k=2-0.015k=3-0.248k=4-0.215k=5+0.0330+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 · ADF rejects unit rootfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.35high · clear structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=12.77)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)
$47.28k
Open interest (USD)
$358.31k
Vol / OI (turnover)
0.13x
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 0.75% · worst -0.91% · typical |Δ| 0.38%BEARISH SESSION -3.24%BEST+0.75%19hWORST-0.91%04hTYPICAL |Δ|0.38%mean absoluteCUMULATIVE-3.24%Σ signed ΔSTREAK↘ 1down-runASIA · 00-08 UTCμ -0.16% · Σ -1.31%EUROPE · 08-16 UTCμ +0.01% · Σ +0.05%US · 16-24 UTCμ -0.25% · Σ -1.99%CUMULATIVE Δ PATH · final -3.24%+0.63%-3.24%0.63% · 15h0.63% · 15h0.63%15h-0.50% · 16h-0.50% · 16h-0.50%16h-0.17% · 17h-0.17% · 17h-0.17%17h-0.47% · 18h-0.47% · 18h-0.47%18h0.75% · 19h0.75% · 19h0.75%19h★ BEST-0.39% · 20h-0.39% · 20h-0.39%20h0.03% · 21h0.03% · 21h0.03%21h-0.55% · 22h-0.55% · 22h-0.55%22h-0.70% · 23h-0.70% · 23h-0.70%23h0.50% · 00h0.50% · 00h0.50%00h0.13% · 01h0.13% · 01h0.13%01h-0.12% · 02h-0.12% · 02h-0.12%02h0.40% · 03h0.40% · 03h0.40%03h-0.91% · 04h-0.91% · 04h-0.91%04h▼ WORST-0.69% · 05h-0.69% · 05h-0.69%05h-0.46% · 06h-0.46% · 06h-0.46%06h-0.16% · 07h-0.16% · 07h-0.16%07h0.25% · 08h0.25% · 08h0.25%08h0.10% · 09h0.10% · 09h0.10%09h-0.12% · 10h-0.12% · 10h-0.12%10h-0.02% · 11h-0.02% · 11h-0.02%11h-0.11% · 12h-0.11% · 12h-0.11%12h0.19% · 13h0.19% · 13h0.19%13h-0.87% · 14h-0.87% · 14h-0.87%14hTIME PATTERNEurope-led (+0.05%)RUNSup max 2 · down max 4BREADTH38% up · 63% down
9 up bars · 15 down · best 0.75% · worst -0.91% · typical |Δ| 0.383%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS WITH MODERATE DD (-3.22%)FINAL-3.22%MAX DD-3.83%RECOVERYONGOING · 23 barsMAX RUN-UP+0.63%UNDERWATER23/25 (92%)STREAK↘ 1EQUITY CURVE · end 0.9678 · peak 1.0063 · range [0.9678, 1.0063]1.00630.9678break-even = 1★ PEAK 1.0063UNDERWATER DRAWDOWN · max -3.83% · moderate0%-3.83%▼ TROUGH -3.83%TOP DRAWDOWN PERIODS · 1 total#1 -3.83%bar 3-25 · 23 bars · ONGOINGDD SEVERITYmoderate (max -3.83%)RECOVERYongoing · 23 barsTIME UNDER WATER92% of session · 23/25 bars
final equity 0.9678 (-3.22%) · max DD -3.83% · time-under-water 23/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +1 / −18 (5% positive) · μ=-27.57 · σ=22.83UNPROFITABLE STRATEGYLAST -34.26 (-0.29σ vs μ)64.8132.400.00-32.40-64.81μ = -27.57-3.86-3.86-24.63-24.63-25.84-25.84-38.67-38.67-9.34-9.34-33.17-33.17-24.67-24.67-10.63-10.63-18.83-18.83-18.60-18.60-51.59-51.59-64.81-64.81-47.25-47.25-64.69-64.69-48.90-48.90-26.58-26.58-6.37-6.3728.8928.89-34.26-34.26v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -34.263 · range [-64.81, 28.89] · μ -27.567 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=41.3646 · σ=12.3529 · range [14.4866, 54.9871] · R²=0.490 FALLING -33.13%σ EXTREME 29.86%LAST 35.402554.987144.862034.736924.611714.4866μ = 41.3646max 54.9871min 14.4866dataMA(3)OLS R²=0.49μ lineμ ± σ bandmaxmin
latest 35.40% · range [14.49%, 54.99%] · μ 41.36% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +6 / −13 (32% positive) · μ=-0.086 · σ=0.298MEAN-REVERSIONLAST -0.311 (-0.75σ vs μ)0.5580.2790.000-0.279-0.558μ = -0.086-0.499-0.499-0.483-0.483-0.536-0.536-0.260-0.260-0.224-0.224-0.074-0.074-0.025-0.0250.0150.015-0.370-0.3700.1160.1160.0640.064-0.031-0.031-0.027-0.0270.5580.5580.4680.4680.1630.163-0.176-0.176-0.004-0.004-0.311-0.311v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.311 · |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
0.5025
p-VALUE (log scale)
0.7778
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
3.9979
p-VALUE (log scale)
0.5517
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
-0.4705
p-VALUE (log scale)
0.8929
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
0.7816
p-VALUE (log scale)
0.4345
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (14 runs)
χ

KPSS (μ stationarity)

REJECT H₀**

H₀: p IS level-stationary

STATISTIC
0.8782
p-VALUE (log scale)
0.0046
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
-0.8559
p-VALUE (log scale)
0.3920
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.740 ≈ 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=2.32e-5 · top T=2.00h (26.8%) · top-3 cover 52.6%1 SIGNIFICANT CYCLEcumulative energy ↗ (1 bin above 2× noise)7.4e-55.6e-53.7e-51.9e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 2.14e-6 · 0.8% energyperiod 24.0 · power 2.14e-6 · 0.8% energyperiod 12.0 · power 7.45e-6 · 2.7% energyperiod 12.0 · power 7.45e-6 · 2.7% energyperiod 8.0 · power 3.07e-5 · 11.0% energyperiod 8.0 · power 3.07e-5 · 11.0% energyperiod 6.0 · power 3.72e-5 · 13.4% energyperiod 6.0 · power 3.72e-5 · 13.4% energyperiod 4.8 · power 2.54e-6 · 0.9% energyperiod 4.8 · power 2.54e-6 · 0.9% energyperiod 4.0 · power 1.58e-5 · 5.7% energyperiod 4.0 · power 1.58e-5 · 5.7% energyperiod 3.4 · power 1.46e-6 · 0.5% energyperiod 3.4 · power 1.46e-6 · 0.5% energyperiod 3.0 · power 3.46e-5 · 12.4% energyperiod 3.0 · power 3.46e-5 · 12.4% energyperiod 2.7 · power 2.13e-5 · 7.6% energyperiod 2.7 · power 2.13e-5 · 7.6% energyperiod 2.4 · power 2.58e-5 · 9.3% energyperiod 2.4 · power 2.58e-5 · 9.3% energyperiod 2.2 · power 2.49e-5 · 8.9% energyperiod 2.2 · power 2.49e-5 · 8.9% energyperiod 2.0 · power 7.44e-5 · 26.8% energyperiod 2.0 · power 7.44e-5 · 26.8% energy50% by T=2.7h#1 dominantT=2.00h#2T=6.00h#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 26.8% of total energy · Σ|X̂|²/n = 2.782e-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 0.03%
μ per barmean
-0.000%
σ per barvol
0.03%
Empirical f★argmax g(f)
0.00×
from observed distribution
Parametric f★μ/σ²
-29.09×
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 -8.39400 paths × 720 bars · leverage 0.10× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
-0.004
annualized -8.39
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 -18.35σ ann 63% · Sortino -10.35 · n 4999 · ⚠ capped (n=4999 too small to support 8760-bar projection)
-2202%-1747%-1291%-835%-380%76%-1000.0%APR (simple)-100.0%APY (compound)63.1%Ann. vol σ-1835.2%Sharpe (ann)-1035.5%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 = 1.004% · long-run σ = 2.236%
0.0120.0120.0120.0130.0130.013t-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 14:48:51 UTC
Snapshot age
2.7s
History points
25 hourly closes
Page rendered
2026-06-14 14:48:51 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
ed4389f6fe71d087537760f5bc4fe1a16d7f71903d0f58d390cf19079666bf55 · 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
$958
bid $424 · ask $534
Depth within 10bp
$1.62K
bid $1.09K · ask $534
Depth within 50bp
$13.70K
bid $6.80K · ask $6.90K
Mid price
0.012464
(best bid + best ask) / 2
Spread
9.6bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
+0.034
bid-heavy
Imbalance (top-5)
+0.079
bid-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-FOGO/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.0124737.43bp0.0124772FILLED
BUY$10.00K0.01252851.16bp0.01262912FILLED
BUY$100.00K0.012675168.92bp0.01280920PARTIAL
SELL$1.00K0.0124575.28bp0.0124572FILLED
SELL$10.00K0.01240943.82bp0.01233710FILLED
SELL$100.00K0.012268156.94bp0.01211820PARTIAL

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-FOGO/carry · same metrics, JSON

Volume profile

real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$0.000000–$1.000025$3.86M

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

Order flow

ASK-LEAN · -0.406 · Hyperliquid candles
Bars (buy / sell)
9 / 15
1 unclassified
Buy weight
$1.09M
real volume
Sell weight
$2.58M
real volume
Net delta
$1.49M
sellers net
Imbalance
-40.59%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
40.6%
two-sided / balanced
Impact (|Δp|/vol)
needs real volume

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

Cascade clusters

DOWN · 4 found · deepest 2.19% · 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 04:00:00Z3.0h0.0128200.0125392.192%4
#22026-06-13 22:00:00Z2.0h0.0129090.0127041.588%3
#32026-06-13 17:00:00Z1.0h0.0129590.0128131.127%2

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

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
63.09%
σ per bar = 0.000275
Mean return (annualised)
-1157.93%
μ per bar = -0.000002
Sharpe (rf=0)
-18.35
annualised; risk-free assumed zero
Max drawdown
2.16%
peak 0.01 → trough 0.01 over 2438 bars

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