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HYPERLIQUID · PERPETUAL FUTURES

TRUMP

TRUMP-USD perpetual · 24/7 trading on Hyperliquid

▸ Advanced metrics · M2M bundle

hyperliquid · perp-trump · fresh · feed 2s old
24h sparkline · 60 pts▼ -8.98%
realized vol (ann.)
91.25%
max drawdown
2.95%
sharpe
-17.29
ulcer index
1.52%
RMS drawdown
pain index
1.29%
mean drawdown
mod. VaR 95%
0.07%
Cornish-Fisher
martin ratio
-1038.74
ret / ulcer
CDaR 95%
2.62%
cond. drawdown
gain/pain
0.98
Σgain / Σ|loss|
sterling
-602.59
ret / CDaR
omega (θ=0)
0.98
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
2000
store
spread
—
24h Δ
-8.98%
flow lean
—
carry
shorts_pay
-117.13%
signalNEUTRALconfidence 35%
  • 24h change -8.98%
  • funding: shorts pay — perp longs get paid to wait
  • mark cheap vs HL oracle by 19.2bps — long bias
Same bundle via M2M API: /api/m2m/hl-trump/bundle · venue execution: hyperliquid →
LIVEPOLL0SRCFRESH2.2s⏱--:--:-- 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
$2.026
24h Δ · live
-8.98%
24h vol · live
$17.4M
TRUMP · live 24h price
n=25 · μ=2.1432 · σ=0.0803 · range [2.0212, 2.2462] · R²=0.808▼ FALLING -8.66%σ NORMAL 3.75%LAST 2.02532.24622.19002.13372.07742.0212μ = 2.1432max 2.2462min 2.0212dataMA(5)OLS R²=0.81μ lineμ ± σ bandmaxminlive endpoint
25 closes · last $2.03
Funding direction · live
Long fee 49.8%Short fee 50.2%SHORT FEE50.2%
Σ = 0.0%
Σ-sides total = 0.03% (99.97pp arb gap)
H(p) entropy = 1.000 / 1.00 bits (100%) · max uncertainty (~50/50)
Long fee
49.8%▬ +0.00pp
Short fee
50.2%▬ +0.00pp
1h funding -0.013371% · shorts pay
Hourly contract volume · live
n=25 · Σ=8,183,274 · μ=327331.0 · σ=238600.9 · CV=0.73STEADY FLOWcumulative energy ↗ · 50% by h=130259,892519,784779,6761,039,568μ = 3273311,039,568.350%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
peak 1039568 contracts
Live numerics · pulse on poll
LIVE NUMERICS9 metrics·POLL 0
⏱snapshot age
2.2s
$mark $
$2.0261
$mid $
$2.0267
◉prev-day close
$2.226
Δ24h Δ %
-8.980%
$24h vol $
$17.41M
◐open interest $
$10.53M
%funding (1h)
-0.013371%
%funding (yr)
-117.13%/yr

§1 · 24h time-series

Close price · hourly
n=25 · μ=2.1432 · σ=0.0803 · range [2.0212, 2.2462] · R²=0.808▼ FALLING -8.66%σ NORMAL 3.75%LAST 2.02532.24622.19002.13372.07742.0212μ = 2.1432max 2.2462min 2.0212dataMA(5)OLS R²=0.81μ lineμ ± σ bandmaxmin
mark $2.0261 · 24h -8.98% · range $[2.0212, 2.2462]
OHLC candles · hourly
n=25 · up 10 · down 15 (40% up) · range [2.0100, 2.2854] · σ=0.0803 · CV=0.04 · bodyµ=42%BEARISH -7.34%CLOSE 2.0253 vs OPEN 2.1858 (-7.34%)&#9660; CLOSE 2.02532.28542.21652.14772.07892.0100μ close = 2.1432O2.186 H2.232 L2.177 C2.217 (+1.44%)O2.186 H2.232 L2.177 C2.217 (+1.44%)O2.218 H2.238 L2.177 C2.223 (+0.23%)O2.218 H2.238 L2.177 C2.223 (+0.23%)O2.222 H2.256 L2.210 C2.211 (-0.49%)O2.222 H2.256 L2.210 C2.211 (-0.49%)O2.209 H2.233 L2.173 C2.198 (-0.51%)O2.209 H2.233 L2.173 C2.198 (-0.51%)O2.198 H2.236 L2.195 C2.214 (+0.76%)O2.198 H2.236 L2.195 C2.214 (+0.76%)O2.214 H2.222 L2.172 C2.192 (-1.01%)O2.214 H2.222 L2.172 C2.192 (-1.01%)O2.191 H2.267 L2.178 C2.230 (+1.81%)O2.191 H2.267 L2.178 C2.230 (+1.81%)O2.230 H2.252 L2.201 C2.207 (-1.02%)O2.230 H2.252 L2.201 C2.207 (-1.02%)O2.208 H2.285 L2.197 C2.246 (+1.73%)O2.208 H2.285 L2.197 C2.246 (+1.73%)O2.249 H2.257 L2.212 C2.225 (-1.08%)O2.249 H2.257 L2.212 C2.225 (-1.08%)O2.226 H2.252 L2.203 C2.243 (+0.76%)O2.226 H2.252 L2.203 C2.243 (+0.76%)O2.242 H2.270 L2.209 C2.209 (-1.46%)O2.242 H2.270 L2.209 C2.209 (-1.46%)O2.210 H2.237 L2.175 C2.183 (-1.23%)O2.210 H2.237 L2.175 C2.183 (-1.23%)-3.0%O2.182 H2.205 L2.086 C2.117 (-3.00%)O2.182 H2.205 L2.086 C2.117 (-3.00%)O2.116 H2.122 L2.090 C2.095 (-0.95%)O2.116 H2.122 L2.090 C2.095 (-0.95%)O2.094 H2.095 L2.063 C2.077 (-0.82%)O2.094 H2.095 L2.063 C2.077 (-0.82%)O2.076 H2.117 L2.072 C2.111 (+1.67%)O2.076 H2.117 L2.072 C2.111 (+1.67%)O2.111 H2.142 L2.036 C2.049 (-2.93%)O2.111 H2.142 L2.036 C2.049 (-2.93%)O2.050 H2.076 L2.019 C2.058 (+0.40%)O2.050 H2.076 L2.019 C2.058 (+0.40%)O2.060 H2.070 L2.052 C2.064 (+0.22%)O2.060 H2.070 L2.052 C2.064 (+0.22%)O2.066 H2.077 L2.050 C2.058 (-0.39%)O2.066 H2.077 L2.050 C2.058 (-0.39%)O2.059 H2.073 L2.035 C2.055 (-0.20%)O2.059 H2.073 L2.035 C2.055 (-0.20%)O2.057 H2.057 L2.033 C2.051 (-0.26%)O2.057 H2.057 L2.033 C2.051 (-0.26%)O2.052 H2.052 L2.016 C2.021 (-1.50%)O2.052 H2.052 L2.016 C2.021 (-1.50%)O2.019 H2.030 L2.010 C2.025 (+0.30%)O2.019 H2.030 L2.010 C2.025 (+0.30%)#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=8,183,274 · μ=327331.0 · σ=238600.9 · CV=0.73STEADY FLOWcumulative energy &nearr; · 50% by h=130259,892519,784779,6761,039,568μ = 327331244,946.6 · 23.6% peak244,946.6 · 23.6% peak215,866.3 · 20.8% peak215,866.3 · 20.8% peak450,399.9 · 43.3% peak450,399.9 · 43.3% peak276,135.5 · 26.6% peak276,135.5 · 26.6% peak171,178.4 · 16.5% peak171,178.4 · 16.5% peak262,721.3 · 25.3% peak262,721.3 · 25.3% peak1,039,568.31,039,568.3 · 100.0% peak1,039,568.3 · 100.0% peak368,040.7 · 35.4% peak368,040.7 · 35.4% peak340,971.6 · 32.8% peak340,971.6 · 32.8% peak139,646.1 · 13.4% peak139,646.1 · 13.4% peak294,540.5 · 28.3% peak294,540.5 · 28.3% peak274,850.1 · 26.4% peak274,850.1 · 26.4% peak252,006.1 · 24.2% peak252,006.1 · 24.2% peak1,015,478.6 · 97.7% peak1,015,478.6 · 97.7% peak369,530.4 · 35.5% peak369,530.4 · 35.5% peak329,457 · 31.7% peak329,457 · 31.7% peak175,025.5 · 16.8% peak175,025.5 · 16.8% peak606,199.6 · 58.3% peak606,199.6 · 58.3% peak317,999.7 · 30.6% peak317,999.7 · 30.6% peak109,234.3 · 10.5% peak109,234.3 · 10.5% peak277,031.9 · 26.6% peak277,031.9 · 26.6% peak186,310 · 17.9% peak186,310 · 17.9% peak223,176.6 · 21.5% peak223,176.6 · 21.5% peak171,346.4 · 16.5% peak171,346.4 · 16.5% peak71,613 · 6.9% peak71,613 · 6.9% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol 8183274 · peak 1039568 · CV 0.73

§2 · Returns distribution (log-returns)

Histogram of rₜ = ln(pₜ/pₜ₋₁)
n=24 · 12 bins · μ=-0.0035 · σ=0.0118 · skew=-0.31 (symmetric) · kurt=-0.24 (mesokurtic)54310 2-285.63bpbin -285.63bp · n=2 · 40.0% peakbin -285.63bp · n=2 · 40.0% peak-245.60bp-205.57bp 2-165.54bpbin -165.54bp · n=2 · 40.0% peakbin -165.54bp · n=2 · 40.0% peak 1-125.51bpbin -125.51bp · n=1 · 20.0% peakbin -125.51bp · n=1 · 20.0% peak 5-85.49bpbin -85.49bp · n=5 · 100.0% peakbin -85.49bp · n=5 · 100.0% peak 3-45.46bpbin -45.46bp · n=3 · 60.0% peakbin -45.46bp · n=3 · 60.0% peak 2-5.43bpbin -5.43bp · n=2 · 40.0% peakbin -5.43bp · n=2 · 40.0% peak 434.60bpbin 34.60bp · n=4 · 80.0% peakbin 34.60bp · n=4 · 80.0% peak 274.63bpbin 74.63bp · n=2 · 40.0% peakbin 74.63bp · n=2 · 40.0% peak114.66bp 3154.68bpbin 154.68bp · n=3 · 60.0% peakbin 154.68bp · n=3 · 60.0% 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=-0.23 · kurt=-0.09 · near 20 / mid 4 / far 0 · OLS slope=1.01 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
$2.0261
Mid price
$2.0267
24h change
-8.98%
Mark–mid spread
2.96 bps
Prev-day close
$2.226

§4 · Sample moments (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25PLATYKURTIC · THIN TAILS (G₂=-1.77)
μ MEAN2.1432$95% CI: [2.1118$, 2.1747$]
σ STD DEV0.0803$σ² = 64.436×10⁻⁴ · CV = 3.75%
med MEDIAN2.1826$Q₁ 2.0581$ · Q₃ 2.2144$
FIVE-NUMBER SUMMARY · BOX PLOTrange 0.2250$ · IQR 0.1563$ (1.349σ→0.1083$)
min 2.0212$Q₁ 2.0581$med 2.1826$Q₃ 2.2144$max 2.2462$μ
SKEWNESS · G₁-0.170approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.769platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.49
σ × 1.349 ↔ IQRdiverges from normalratio = 0.69
range ↔ σconcentrated (range < 4σ)range / σ = 2.80
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=-28.02
μᵣ MEAN / h-0.377385%drift is negative per h · |μ|/σ = 0.299
σᵣ STD / h1.260591%σ²ᵣ = 1.589×10⁻⁴ · CV = 3.34×
σ ANNUALISED117.98%/yrscaled by √8760 (hourly→yearly) · 1.261%/h base
RISK-ADJUSTED PERFORMANCEhigher = better edge per unit risk
SHARPE (annualised)-28.02negative edge
-2-10+1+2+3+4
SORTINO (annualised)-25.08downside drag
-2-10+1+2+3+4
CALMAR (return / max-DD)-100.00drawdown overwhelms returns
-20+2+4+6
RETURN-DISTRIBUTION SHAPE|skew| < 0.5 ≈ symmetric · |kurt| < 1 ≈ mesokurtic
SKEWNESS · G₁-0.24approximately symmetric
-3-10+1+3
EXCESS KURTOSIS · G₂0.18mesokurtic · normal-like tails
-30+2+4+6
SORTINO vs SHARPEdownside vol < total vol · favourableSoR / SR = 0.90
CALMAR · DD CONTROLdrawdown > returns · adverseCR = -100.00
EXPECTED EDGE-3305.89%/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 RISKHIGH · 95% VaR 2.76%
VaR₉₅ (h)2.758%5% prob of larger adverse h move
VaR₉₉ (h)3.039%1% prob · extreme-tail threshold
ES₉₅ (CVaR)3.019%expected loss given 5% tail event
MAX DRAWDOWN10.02%15h from peak to trough
TAIL-RISK LADDER (h losses)larger negative = worse · markers show severity
0 · no lossVaR₉₅−2.758%VaR₉₉−3.039%ES₉₅−3.019%worst tail ←→ zero loss
MAX DRAWDOWN PROFILEsignificant drawdown · 15h duration
PEAK224.62$
−10.02% drawdown over 15h
202.12$TROUGH
ES / VaR · TAIL THICKNESSthin tails · ES ≈ VaR|ES₉₅| / |VaR₉₅| = 1.09× (normal ≈ 1.25)
VaR₉₉ / VaR₉₅ · CONCENTRATIONuniform tailratio = 1.10× (normal ≈ 1.41)
DRAWDOWN · CAPITAL DURATIONsignificant drawdownrecovery needed: +11.13% (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)
30.9 · neutral
Bollinger %B
0.189 · within band
Bollinger upper
$2.2875
Bollinger MA
$2.1259
Bollinger lower
$1.9642

§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+0.398lag-2 not significant
H · HURST EXPONENT0.819strongly persistent
OLS TREND · t-STAT-9.842significant @ α=0.05
HURST EXPONENT [0, 1]strongly persistent · H = 0.819
H = 0.819STRONGLY PERSISTENT
0
anti-persistent0.45
mean-reverting0.5
random walk0.55
persistent1
strongly trending
AUTOCORRELATION FUNCTION · ρ(k) for k=1..5WHITE NOISE · no significant lags
k=1-0.319k=2+0.398k=3-0.280k=4+0.233k=5-0.3180+1−1+0.41−0.41+ momentum (ρ > +0.41)− reversal (ρ < −0.41)noise (within band)±2/√n threshold
OLS TREND · t-STAT · [-5, +5]SIGNIFICANT @ 1% (|t|=9.84)
−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 0.96very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=9.84)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)
$17.41M
Open interest (USD)
$10.53M
Vol / OI (turnover)
1.65x
1h funding
-0.013371%
Funding (annualised)
-117.13%/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 1.75% · worst -3.06% · typical |Δ| 1.03%BEARISH SESSION -9.06%BEST+1.75%19hWORST-3.06%00hTYPICAL |Δ|1.03%mean absoluteCUMULATIVE-9.06%Σ signed ΔSTREAK↗ 1up-runASIA · 00-08 UTCμ -0.73% · Σ -5.87%EUROPE · 08-16 UTCμ -0.22% · Σ -1.74%US · 16-24 UTCμ -0.18% · Σ -1.45%CUMULATIVE Δ PATH · final -9.06%+1.29%-9.26%0.24% · 12h0.24% · 12h0.24%12h-0.51% · 13h-0.51% · 13h-0.51%13h-0.62% · 14h-0.62% · 14h-0.62%14h0.75% · 15h0.75% · 15h0.75%15h-1.02% · 16h-1.02% · 16h-1.02%16h1.72% · 17h1.72% · 17h1.72%17h-1.03% · 18h-1.03% · 18h-1.03%18h1.75% · 19h1.75% · 19h1.75%19h★ BEST-0.96% · 20h-0.96% · 20h-0.96%20h0.80% · 21h0.80% · 21h0.80%21h-1.49% · 22h-1.49% · 22h-1.49%22h-1.22% · 23h-1.22% · 23h-1.22%23h-3.06% · 00h-3.06% · 00h-3.06%00h▼ WORST-1.02% · 01h-1.02% · 01h-1.02%01h-0.88% · 02h-0.88% · 02h-0.88%02h1.61% · 03h1.61% · 03h1.61%03h-2.98% · 04h-2.98% · 04h-2.98%04h0.44% · 05h0.44% · 05h0.44%05h0.31% · 06h0.31% · 06h0.31%06h-0.30% · 07h-0.30% · 07h-0.30%07h-0.17% · 08h-0.17% · 08h-0.17%08h-0.16% · 09h-0.16% · 09h-0.16%09h-1.49% · 10h-1.49% · 10h-1.49%10h0.20% · 11h0.20% · 11h0.20%11hTIME PATTERNUS-led (+-1.45%)RUNSup max 2 · down max 5BREADTH38% up · 63% down
9 up bars · 15 down · best 1.75% · worst -3.06% · typical |Δ| 1.029%

§12 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsSEVERE DRAWDOWN -8.84%FINAL-8.84%MAX DD-10.16%RECOVERYONGOING · 16 barsMAX RUN-UP+1.26%UNDERWATER21/25 (84%)STREAK↗ 1EQUITY CURVE · end 0.9116 · peak 1.0126 · range [0.9097, 1.0126]1.01260.9097break-even = 1★ PEAK 1.0126UNDERWATER DRAWDOWN · max -10.16% · significant0%-10.16%▼ TROUGH -10.16%TOP DRAWDOWN PERIODS · 3 total#1 -10.16%bar 10-25 · 16 bars · ONGOING#2 -1.39%bar 3-6 · 4 bars · recovered#3 -1.03%bar 8-8 · 1 bars · recoveredDD SEVERITYsignificant (max -10.16%)RECOVERYongoing · 16 barsTIME UNDER WATER84% of session · 21/25 bars
final equity 0.9116 (-8.84%) · max DD -10.16% · time-under-water 21/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +5 / −14 (26% positive) · μ=-27.57 · σ=33.14UNPROFITABLE STRATEGYLAST -38.90 (-0.34σ vs μ)87.8643.930.00-43.93-87.86μ = -27.578.808.80-9.69-9.6918.5218.5213.9313.9314.4014.408.418.41-25.61-25.61-37.99-37.99-87.86-87.86-86.71-86.71-62.62-62.62-68.72-68.72-49.61-49.61-24.79-24.79-18.05-18.05-11.05-11.05-35.29-35.29-31.06-31.06-38.90-38.90v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -38.895 · range [-87.86, 18.52] · μ -27.572 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=125.4925 · σ=29.8299 · range [60.1216, 172.9962] · R²=0.008▼ FALLING -37.05%σ EXTREME 23.77%LAST 60.1216172.9962144.7775116.558988.340260.1216μ = 125.4925max 172.9962min 60.1216dataMA(3)OLS R²=0.01μ lineμ ± σ bandmaxmin
latest 60.12% · range [60.12%, 173.00%] · μ 125.49% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +2 / −17 (11% positive) · μ=-0.415 · σ=0.314MEAN-REVERSIONLAST -0.349 (+0.21σ vs μ)0.8650.4330.000-0.433-0.865μ = -0.415-0.512-0.512-0.705-0.705-0.778-0.778-0.865-0.865-0.863-0.863-0.677-0.677-0.429-0.429-0.038-0.038-0.051-0.051-0.094-0.0940.0780.078-0.292-0.292-0.452-0.452-0.595-0.595-0.643-0.643-0.558-0.558-0.163-0.1630.0970.097-0.349-0.349v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.349 · |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
2 of 6 REJECT · mixed evidence2 reject·4 pass·α = 0.05
𝒩

Jarque-Bera

FAIL TO REJECTns

H₀: Δln-r ~ Normal(μ, σ²)

STATISTIC
0.2679
p-VALUE (log scale)
0.8746
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainednormality not rejected
ρ

Ljung-Box(h=5)

REJECT H₀*

H₀: No serial autocorrelation up to lag 5

STATISTIC
14.5935
p-VALUE (log scale)
0.0123
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
-0.3921
p-VALUE (log scale)
0.9065
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
1.2282
p-VALUE (log scale)
0.2194
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (15 runs)
χ

KPSS (μ stationarity)

REJECT H₀**

H₀: p IS level-stationary

STATISTIC
0.8172
p-VALUE (log scale)
0.0065
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
-0.3070
p-VALUE (log scale)
0.7589
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.907 ≈ 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=2.04e-4 · top T=2.00h (50.5%) · top-3 cover 65.5%STRONG CYCLE @ T≈2.0cumulative energy ↗ (1 bin above 2× noise)1.2e-39.3e-46.2e-43.1e-40.0e+0μ noise floor2× noise (significance)period 24.0 · power 1.51e-4 · 6.2% energyperiod 24.0 · power 1.51e-4 · 6.2% energyperiod 12.0 · power 2.12e-4 · 8.7% energyperiod 12.0 · power 2.12e-4 · 8.7% energyperiod 8.0 · power 6.55e-5 · 2.7% energyperiod 8.0 · power 6.55e-5 · 2.7% energyperiod 6.0 · power 3.68e-5 · 1.5% energyperiod 6.0 · power 3.68e-5 · 1.5% energyperiod 4.8 · power 1.47e-4 · 6.0% energyperiod 4.8 · power 1.47e-4 · 6.0% energyperiod 4.0 · power 4.07e-5 · 1.7% energyperiod 4.0 · power 4.07e-5 · 1.7% energyperiod 3.4 · power 6.71e-5 · 2.7% energyperiod 3.4 · power 6.71e-5 · 2.7% energyperiod 3.0 · power 1.55e-4 · 6.4% energyperiod 3.0 · power 1.55e-4 · 6.4% energyperiod 2.7 · power 1.15e-4 · 4.7% energyperiod 2.7 · power 1.15e-4 · 4.7% energyperiod 2.4 · power 9.11e-5 · 3.7% energyperiod 2.4 · power 9.11e-5 · 3.7% energyperiod 2.2 · power 1.29e-4 · 5.3% energyperiod 2.2 · power 1.29e-4 · 5.3% energyperiod 2.0 · power 1.24e-3 · 50.5% energyperiod 2.0 · power 1.24e-3 · 50.5% energy50% by T=2.0h#1 dominantT=2.00h#2T=12.00h#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 50.5% of total energy · Σ|X̂|²/n = 2.445e-3

▸ 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 0.05%
μ per barmean
-0.000%
σ per barvol
0.05%
Empirical f★argmax g(f)
0.00×
from observed distribution
Parametric f★μ/σ²
-19.61×
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 -23.43400 paths × 720 bars · leverage 0.10× · bootstrap from 4999 observed returns
Sharpe / barμ/σ
-0.010
annualized -23.43
μ per barafter L
-0.000%
σ per barafter L
0.00%
VaR 95%5%
0.01%
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 -22.18σ ann 113% · Sortino -17.58 · n 4999 · ⚠ capped (n=4999 too small to support 8760-bar projection)
-2661%-2102%-1542%-983%-424%136%-1000.0%APR (simple)-100.0%APY (compound)113.1%Ann. vol σ-2217.8%Sharpe (ann)-1757.5%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 = 1.000% · long-run σ = 2.236%
1.9311.9912.0502.1102.1692.228t-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

Upstream
api.hyperliquid.xyz
Snapshot fetched
2026-06-14 11:26:15 UTC
Snapshot age
2.2s
History points
25 hourly closes
Page rendered
2026-06-14 11:26:18 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
f5400646875550f7830f344473818f9f77ac84603ff833fa20718107ac3b2fbe · 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

HL PREDGermany94.4¢HL PREDSpain90.4¢HL PREDUruguay66.6¢HL PERPBTC-USD perpetual$64,528HL PERPETH-USD perpetual$1,673.8HL PERPHYPE-USD perpetual$60.85

Also see: /arb opportunities · RSS feed

Market depth

▸ live order book · Hyperliquid perp
Depth within 1bp
$0
bid $0 · ask $0
Depth within 5bp
$4.97K
bid $1.63K · ask $3.33K
Depth within 10bp
$89.65K
bid $26.30K · ask $63.35K
Depth within 50bp
$224.55K
bid $127.22K · ask $97.32K
Mid price
2.026750
(best bid + best ask) / 2
Spread
2.5bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
+0.134
bid-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-trump/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K2.02701.23bp2.02701FILLED
BUY$10.00K2.02774.64bp2.02796FILLED
BUY$100.00K2.02879.55bp2.029720PARTIAL
SELL$1.00K2.02641.70bp2.02622FILLED
SELL$10.00K2.02536.93bp2.02518FILLED
SELL$100.00K2.024411.72bp2.023618FILLED

Funding carry

▸ SHORTS PAY · longs receive
Hourly funding
-1.337e-4
-0.01337% / hr
Annualised APR
-117.209%
hourly · 24 · 365.25
Long: days to 1% carry
3.1d
longs receive
Short: days to 1% carry
3.1d
shorts pay
SideDirectionAnnualised carryDays → 1%Days → 10%
LONGRECEIVE117.209%3.1d31.2d
SHORTPAY-117.209%3.1d31.2d

/api/asset/hl-trump/carry · same metrics, JSON

Volume profile

▸ real volume · Hyperliquid candlesstep $ 1 · 25 records
Price binBarsVolumeDistribution
$2.0000–$3.0000★25$8.18M

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

Order flow

▸ ASK-LEAN · -0.311 · Hyperliquid candles
Bars (buy / sell)
9 / 15
1 unclassified
Buy weight
$2.74M
real volume
Sell weight
$5.20M
real volume
Net delta
$2.47M
sellers net
Imbalance
-31.07%
(buy − sell) / (buy + sell)
Toxicity (VPIN)
31.1%
two-sided / balanced
Impact (|Δp|/vol)
—
needs real volume

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

Cascade clusters

▸ DOWN · 7 found · deepest 7.53% · 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
#12026-06-13 22:00:00Z4.0h2.2462→2.07717.528%5
#22026-06-14 04:00:00Z2.0h2.1109→2.04892.937%3
#32026-06-14 09:00:00Z2.0h2.0643→2.02122.088%3

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

Risk metrics

▸ sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
113.10%
σ per bar = 0.000493
Mean return (annualised)
-2508.33%
μ per bar = -0.000005
Sharpe (rf=0)
-22.18
annualised; risk-free assumed zero
Max drawdown
6.09%
peak 2.14 → trough 2.01 over 4039 bars

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