POLYMARKET · PREDICTION MARKET · ELON MUSK # TWEETS JUNE 16 - JUNE 23, 2026?

Will Elon Musk post 160-179 tweets from June 16 to June 23, 2026?

YES · live
21.5¢
NO · live
78.5¢

▸ Advanced metrics · M2M bundle

polymarket · elon-musk-of-tweets-june-16-june-23-160-179 · fresh · feed 4s old
24h sparkline · 60 pts
realized vol (ann.)
207.25%
max drawdown
12.20%
sharpe
ulcer index
3.87%
RMS drawdown
pain index
1.63%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
10.46%
cond. drawdown
gain/pain
2.56
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
2.56
upside/downside
roll spread
7.2 bps
implied (price-only)
bars used
999
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/pm-elon-musk-of-tweets-june-16-june-23-160-179/bundle · venue execution: polymarket
LIVEPOLL0SRCFRESH3.5s--:--:-- 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·
YES · live
21.5¢
NO · live
78.5¢
YES price · live 24h
n=25 · μ=0.1136 · σ=0.0566 · range [0.0550, 0.2150] · R²=0.705 RISING +152.94%σ EXTREME 49.85%LAST 0.21500.21500.17500.13500.09500.0550μ = 0.1136max 0.2150min 0.0550dataMA(5)OLS R²=0.71μ lineμ ± σ bandmaxminlive endpoint
25 ticks · last 21.50¢
YES / NO split · live
YES 21.5%NO 78.5%NO78.5%78.50¢ · odds 1/1.27
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.751 / 1.00 bits (75%) · moderate uncertainty
YES
21.5%21.5¢4.65× +0.00pp
NO
78.5%78.5¢1.27× +0.00pp
Σ 100.00% · arb gap 0.00pp
Per-tick activity · |Δp| in basis points · live
n=24 · Σ=2,300 · μ=95.8 · σ=134.3 · CV=1.40BURSTY · concentratedcumulative energy ↗ · 50% by h=180100200300400μ = 9640050%h1h5h9h13h17h21#1 peak#2-3> μactivequietμ linecum energy
Σ 2300bp moved · peak 400bp · n=24 ticks
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
3.5s
YES mid
21.50¢ (21.50%)
NO mid
78.50¢ (78.50%)
ΣΣ sides
100.00%
arb gap
0.000pp
$24h vol $
$39.9k
liquidity $
$35.1k
history points
25 ticks (live)

§1 · 24h price history (YES + NO tokens)

YES price · CLOB mid
n=25 · μ=0.1136 · σ=0.0566 · range [0.0550, 0.2150] · R²=0.705 RISING +152.94%σ EXTREME 49.85%LAST 0.21500.21500.17500.13500.09500.0550μ = 0.1136max 0.2150min 0.0550dataMA(5)OLS R²=0.71μ lineμ ± σ bandmaxmin
25 YES observations from clob.polymarket.com · last 21.50¢
NO price · CLOB mid
n=25 · μ=0.8864 · σ=0.0566 · range [0.7850, 0.9450] · R²=0.705 FALLING -14.21%σ HIGH 6.39%LAST 0.78500.94500.90500.86500.82500.7850μ = 0.8864max 0.9450min 0.7850dataMA(5)OLS R²=0.71μ lineμ ± σ bandmaxmin
25 NO observations from clob.polymarket.com · last 78.50¢

§2 · Distribution of Δp

Histogram of hourly increments
n=24 · 10 bins · μ=0.0055 · σ=0.0146 · skew=0.91 (right-skewed) · kurt=0.15 (mesokurtic)13107302-1.70ppbin -1.70pp · n=2 · 15.4% peakbin -1.70pp · n=2 · 15.4% peak1-1.10ppbin -1.10pp · n=1 · 7.7% peakbin -1.10pp · n=1 · 7.7% peak1-0.50ppbin -0.50pp · n=1 · 7.7% peakbin -0.50pp · n=1 · 7.7% peak130.10ppbin 0.10pp · n=13 · 100.0% peakbin 0.10pp · n=13 · 100.0% peak20.70ppbin 0.70pp · n=2 · 15.4% peakbin 0.70pp · n=2 · 15.4% peak1.30pp11.90ppbin 1.90pp · n=1 · 7.7% peakbin 1.90pp · n=1 · 7.7% peak2.50pp23.10ppbin 3.10pp · n=2 · 15.4% peakbin 3.10pp · n=2 · 15.4% peak23.70ppbin 3.70pp · n=2 · 15.4% peakbin 3.70pp · n=2 · 15.4% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=0.97 · kurt=0.24 · near 9 / mid 15 / far 0 · OLS slope=0.93 intercept=-0.00APPROXIMATELY NORMALMILDLY HEAVY UPPERLOWER 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
reference line = identity (perfect normality). Heavy upper-right tail = fat positive tail.

§3 · Sample moments

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25RIGHT-SKEWED (G₁=0.80)
μ MEAN11.36¢95% CI: [9.14¢, 13.58¢]
σ STD DEV5.66ppσ² = 32.073 · CV = 49.85%
med MEDIAN8.50¢Q₁ 7.50¢ · Q₃ 17.50¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 5.50¢Q₁ 7.50¢med 8.50¢Q₃ 17.50¢max 21.50¢μ
SKEWNESS · G₁0.803right-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂-1.087platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.51
σ × 1.349 ↔ IQRdiverges from normalratio = 0.76
range ↔ σconcentrated (range < 4σ)range / σ = 2.83
μ = mean YES probability · σ = standard deviation · 95% CI = μ ± 1.96·SE. Skew/kurt diagnose departure from normality.

§5 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: INDETERMINATE · weak signal at n=24
ρ(1) AUTOCORR-0.055within white-noise band
ρ(2) AUTOCORR+0.246lag-2 not significant
H · HURST EXPONENT0.902strongly persistent
OLS TREND · t-STAT+7.416significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.902STRONGLY 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=1-0.055k=2+0.246k=3-0.006k=4+0.067k=5+0.2230+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|=7.42)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.

§6 · Microstructure

Market quality · two-sided pricing · activity
MICROSTRUCTURE · MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%
MARKET ID2528014
SLUGelon-musk-of-tweets-june-16-june-23-160-179
CATEGORYElon Musk # tweets June 16 - June 23, 2026?
TWO-SIDED PRICING
PRIMARY · YES21.50¢implied prob 21.50% · decimal odds 4.65×
COUNTER · NO78.50¢implied prob 78.50% · decimal odds 1.27×
21.50¢
78.50¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME39.94k USD 24h
LIQUIDITY35.13k USD
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (79¢)|primary − counter| = 0.570 · entropy 0.751 bits
LIQUIDITY DEPTHACTIVE100k+ deep · 10k+ active · 1k+ modest · 100+ thin
Σ-sides = YES + NO implied probabilities. Perfect arb-free Σ = 100%. |1−Σ| > 2pp suggests synthetic outright arbitrage.

§7 · Position sizing & edge analysis

Probability split · YES vs NO · Kelly · entropy · arbitrage
FAIR MARKET · no edge
YES 21.5%NO 78.5%YES21.5%H = 0.751 / 1.00 bits
Probability scale (YES)
0%25%50%
fair
75%100%
Implied decimal odds
YES4.65×(22¢)NO1.27×(79¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.751 bits (75% of max) · moderate uncertainty
0 (certain)0.250.50.751.00 (max)
Σ-sides = 100.00% · |1 − Σ| = 0.00pp · tight cross-venue rounding
K* full = (b·p − q)/b · ½K and ¼K are conservative fractions of the full-Kelly bet. Entropy in bits — log₂(2)=1 is maximum uncertainty for a binary market.

§8 · Time decay & θ projection

Time decay & theta projection
⏱ URGENCY · LOWresolves 2026-06-23 16:00 UTC
3days
03hrs
44min
YES$1.00(P = 21.5%)
NO$0.00(P = 78.5%)
current: $0.2150 · expected return per side: $0.79 on YES hit · $0.21 on NO hit
0%25%50%75%100%YES $1NO $0NOW+1.6dRESOLVESP projection · σ=5.66% · path funnel to settle at YES=1 or NO=0
Theta progression · θ ∝ σ / √t_remainingθ_now = 27.745 pp/day
now3.16d left
27.745 pp/day×1.00
−25%2.37d left
32.037 pp/day×1.15
−50%1.58d left
39.237 pp/day×1.41
−75%18.94h left
55.489 pp/day×2.00
−90%7.57h left
87.736 pp/day×3.16
θ approximation: σ/√T (expected daily move magnitude). The cone shows ±√(p̂(1−p̂)) widening as time decays, funneling to {0, 1} at resolution. Theta accelerates as √(t_left)→0.

§9 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 4.00% · worst -2.00% · typical |Δ| 0.96%MILD BULLISH +13.00%BEST+4.00%17hWORST-2.00%21hTYPICAL |Δ|0.96%mean absoluteCUMULATIVE+13.00%Σ signed ΔSTREAK▬ 0flat-runASIA · 00-08 UTCμ -0.43% · Σ -3.00%EUROPE · 08-16 UTCμ +0.50% · Σ +4.00%US · 16-24 UTCμ +1.50% · Σ +12.00%CUMULATIVE Δ PATH · final +13.00%+13.00%-3.00%0.00% · 1h0.00% · 1h·1h0.00% · 2h0.00% · 2h·2h-1.00% · 3h-1.00% · 3h-1.00%3h0.00% · 4h0.00% · 4h·4h0.00% · 5h0.00% · 5h·5h-1.50% · 6h-1.50% · 6h-1.50%6h-0.50% · 7h-0.50% · 7h-0.50%7h1.00% · 8h1.00% · 8h1.00%8h0.00% · 9h0.00% · 9h·9h0.00% · 10h0.00% · 10h·10h1.00% · 11h1.00% · 11h1.00%11h0.00% · 12h0.00% · 12h·12h2.00% · 13h2.00% · 13h2.00%13h0.00% · 14h0.00% · 14h·14h0.00% · 15h0.00% · 15h·15h0.00% · 16h0.00% · 16h·16h4.00% · 17h4.00% · 17h4.00%17h★ BEST4.00% · 18h4.00% · 18h4.00%18h0.00% · 19h0.00% · 19h·19h3.00% · 20h3.00% · 20h3.00%20h-2.00% · 21h-2.00% · 21h-2.00%21h▼ WORST3.00% · 22h3.00% · 22h3.00%22h0.00% · 23h0.00% · 23h·23h0.00% · 24h0.00% · 24h·24hTIME PATTERNUS-led (+12.00%)RUNSup max 2 · down max 2BREADTH29% up · 17% down · 54% flat
7 up bars · 4 down · best 4.00% · worst -2.00% · typical |Δ| 0.958%

§10 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +13.53%FINAL+13.53%MAX DD-2.97%RECOVERYFULLY RECOVEREDMAX RUN-UP+13.53%UNDERWATER11/25 (44%)STREAK▬ 0EQUITY CURVE · end 1.1353 · peak 1.1353 · range [0.9703, 1.1353]1.13530.9703break-even = 1★ PEAK 1.1353UNDERWATER DRAWDOWN · max -2.97% · moderate0%-2.97%▼ TROUGH -2.97%TOP DRAWDOWN PERIODS · 2 total#1 -2.97%bar 4-13 · 10 bars · recovered#2 -2.00%bar 22-22 · 1 bars · recoveredDD SEVERITYmoderate (max -2.97%)RECOVERYfully recoveredTIME UNDER WATER44% of session · 11/25 bars
final equity 1.1353 (13.53%) · max DD -2.97% · time-under-water 11/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +13 / −5 (68% positive) · μ=30.16 · σ=49.03PROFITABLE STRATEGYLAST 31.73 (+0.03σ vs μ)84.0642.030.00-42.03-84.06μ = 30.16-58.68-58.68-73.99-73.99-35.63-35.63-19.10-19.10-19.10-19.100.000.0038.2138.2176.4276.4255.9355.9355.9355.9355.9355.9355.9355.9379.3379.3360.4260.4284.0684.0655.9355.9376.4276.4253.3753.3731.7331.73v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 31.732 · range [-73.99, 84.06] · μ 30.164 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=126.6173 · σ=65.9761 · range [57.3149, 234.9213] · R²=0.776 RISING +195.88%σ EXTREME 52.11%LAST 184.0435234.9213190.5197146.1181101.716557.3149μ = 126.6173max 234.9213min 57.3149dataMA(3)OLS R²=0.78μ lineμ ± σ bandmaxmin
latest 184.04% · range [57.31%, 234.92%] · μ 126.62% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +5 / −14 (26% positive) · μ=-0.255 · σ=0.293MEAN-REVERSIONLAST -0.782 (-1.80σ vs μ)0.7820.3910.000-0.391-0.782μ = -0.255-0.267-0.267-0.375-0.375-0.138-0.1380.0170.0170.0170.0170.0560.056-0.567-0.567-0.333-0.333-0.500-0.500-0.500-0.500-0.357-0.357-0.214-0.2140.3390.3390.1670.167-0.097-0.097-0.278-0.278-0.333-0.333-0.699-0.699-0.782-0.782v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.782 · |ρ| > 0.3 ⇒ regime with persistence (ρ > 0) or reversal (ρ < 0) · |ρ| ≤ 0.1 = consistent with random walk

§12 · 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: Δp ~ Normal(μ, σ²)

STATISTIC
4.6490
p-VALUE (log scale)
0.0978
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
3.5745
p-VALUE (log scale)
0.6146
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
0.5138
p-VALUE (log scale)
0.9865
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
-1.4489
p-VALUE (log scale)
0.1474
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (4 runs)
χ

KPSS (μ stationarity)

REJECT H₀*

H₀: p IS level-stationary

STATISTIC
0.7327
p-VALUE (log scale)
0.0106
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-stationary (crit 0.463)
χ

Variance ratio q=3

FAIL TO REJECTns

H₀: Δp is a random walk · VR = 1

STATISTIC
0.5677
p-VALUE (log scale)
0.5702
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 1.173 ≈ 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).

§13 · Spectral analysis (DFT periodogram)

Power spectrum of Δp · ‖X̂(k)‖²/n
n=12 bins · noise floor μ=2.41e-4 · top T=24.00h (23.7%) · top-3 cover 54.9%1 SIGNIFICANT CYCLEcumulative energy ↗ (1 bin above 2× noise)6.9e-45.2e-43.4e-41.7e-40.0e+0μ noise floor2× noise (significance)period 24.0 · power 6.87e-4 · 23.7% energyperiod 24.0 · power 6.87e-4 · 23.7% energyperiod 12.0 · power 7.14e-5 · 2.5% energyperiod 12.0 · power 7.14e-5 · 2.5% energyperiod 8.0 · power 1.35e-4 · 4.7% energyperiod 8.0 · power 1.35e-4 · 4.7% energyperiod 6.0 · power 1.34e-4 · 4.6% energyperiod 6.0 · power 1.34e-4 · 4.6% energyperiod 4.8 · power 3.29e-4 · 11.3% energyperiod 4.8 · power 3.29e-4 · 11.3% energyperiod 4.0 · power 9.37e-5 · 3.2% energyperiod 4.0 · power 9.37e-5 · 3.2% energyperiod 3.4 · power 2.54e-5 · 0.9% energyperiod 3.4 · power 2.54e-5 · 0.9% energyperiod 3.0 · power 2.82e-4 · 9.7% energyperiod 3.0 · power 2.82e-4 · 9.7% energyperiod 2.7 · power 8.54e-5 · 2.9% energyperiod 2.7 · power 8.54e-5 · 2.9% energyperiod 2.4 · power 4.29e-4 · 14.8% energyperiod 2.4 · power 4.29e-4 · 14.8% energyperiod 2.2 · power 4.75e-4 · 16.4% energyperiod 2.2 · power 4.75e-4 · 16.4% energyperiod 2.0 · power 1.50e-4 · 5.2% energyperiod 2.0 · power 1.50e-4 · 5.2% energy50% by T=4.0h#1 dominantT=24.00h#2T=2.18h#3T=2.40hT=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 ≈ 24.00h (freq 0.042) · concentrates 23.7% of total energy · Σ|X̂|²/n = 2.898e-3

▸ Depth section using sovereign-store price series (999 bars · effective 1752616 bars/year) — annualisation reflects native polling cadence, not upstream timeframes.

§14 · Honest position analytics

A binary-market analytics module framed in horizon time (days to resolution, not annualised). Estimators that need a model probability q as a first-class input (Kelly, KL divergence, Bayesian posterior, Mark-to-Market MC) only render when q is provided externally. Sweep an exploratory q at the interactive simulator →

§15 · Horizon returns

Returns · per bar / per day / per horizon
Horizon 3.2 d · σ/bar 0.157pp · expected |Δp| over horizon 1.36ppterminal variance p(1−p) = 0.1688 · n = 999n = 999
μ per bar
+0.007pp
average Δp · drift
σ per bar
0.157pp
one-bar volatility · logit-free
Per-day movedaily
0.77pp
σ × √24
Per-horizon move3d
1.36pp
σ × √75.74018416666667
Terminal variancebinary
0.1688
p(1−p) at resolution
Current pricep
21.5¢
latest snapshot
Note: annualised Sharpe/Sortino are omitted — they are not meaningful for a bounded fixed-horizon binary contract that snaps to {0, 1} at resolution.
Annualised metrics are intentionally omitted — they don't apply to bounded probability series that resolve at a fixed date.

§16 · Tail risk

VaR · ES · max drawdown
VaR₉₅ 0.25pp · ES₉₅ 0.32pp · method parametric · drift-correcteddrift +0.007pp/bar · quantised: yes · median step 1.00pp · unique ratio 0.01n = 999
VaR 95%
0.25pp
1.645·σ (parametric) of Δp
ES 95%
0.32pp
mean of the tail
Max drawdown
12.2pp
peak 20.5¢ → trough 18.0¢
Median step
1.00pp
price bucket granularity
Price series is bucketed (cent grid). Empirical quantiles collapse to grid points — parametric N(0, σ²) used instead.
Empirical quantiles unless the price series is bucketed (PM cent grid), in which case parametric N(0, σ²) is used to avoid grid collapse.

§17 · Odds conversion

Odds conversion · every dialect a bettor thinks in
Implied probabilityP
21.5%
= price
Decimal oddsEU
4.651
total return per $1
AmericanUS
+365
$100 wins $365
FractionalUK
3.65 / 1
profit per $1 risked
Profit per $100stake
+$365.12
clean dollar framing
-1000-5000+500+1000020406080100you · 21.5%implied probability (%)American odds
underdog (+)favorite (-)your price
Price → implied probability → decimal odds → American moneyline → fractional. Five views of the same number, plus the moneyline curve.

§18 · Binary entropy

Binary entropy · uncertainty as bits of information
Market entropyH(p)
0.751 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.751 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
2.22 bit
self-information
Surprise · NO−log₂(1−p)
0.35 bit
self-information
0.000.260.530.791.050.00.20.40.60.81.0marketmodelprobabilityH (bits)
Market entropy only — model entropy requires an external q.

§19 · Model-dependent surfaces

§ Edge / Kelly / KL · no model probability provided

External model required

The position-economics, Kelly, KL-divergence, Bayesian and Monte-Carlo surfaces require a model probability q as input — a number independent of the market price p.

The previous build defaulted q to a tape-momentum heuristic derived from p; that produces apparent edge that is structurally guaranteed to be small and is not a useful skill signal. The auto-derived path has been removed.

To explore these surfaces with a hypothetical q, open the interactive simulator and drag the MODEL P(YES) slider. To wire a real model, POST to the NOSTRADAMUS hook (TBD) or pass ?q=… on the simulator URL.

§∞ · Provenance & attestation

Upstream (snapshot)
gamma-api.polymarket.com
Upstream (history)
clob.polymarket.com
YES token ID
1130541205933882688360185425371991767475416734436685663838593295067233583535
NO token ID
38880446123235159437018881085394937434582261054784538202184279445551840485959
Snapshot fetched
2026-06-20 12:15:31 UTC
Snapshot age
3.5s
History points
25 CLOB mids
Page rendered
2026-06-20 12:15:35 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
67a6c60627b2a61beebf611d971d60d71b7b0a22d1668004915318932569145f · deterministic hash of source snapshot
Open data licence
CC0 / public domain

§∞-2 · Related markets · explore more

Also see: /arb opportunities · RSS feed · more in Elon Musk # tweets June 16 - June 23, 2026?

Market depth

live order book · Polymarket YES
Depth within 1bp
$0
bid $0 · ask $0
Depth within 5bp
$0
bid $0 · ask $0
Depth within 10bp
$0
bid $0 · ask $0
Depth within 50bp
$0
bid $0 · ask $0
Mid price
0.215000
(best bid + best ask) / 2
Spread
465.1bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.181
ask-heavy
Imbalance (top-5)
-0.493
ask-heavy top-of-book

Slippage scenarios

live book walk · Polymarket YES

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/pm-elon-musk-of-tweets-june-16-june-23-160-179/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.2378131061.07bp0.2500004FILLED
BUY$10.00K0.3572686617.12bp0.53000028FILLED
BUY$100.00K0.76794025718.13bp0.93000050FILLED
SELL$1.00K0.1578222659.44bp0.1300009FILLED
SELL$10.00K0.0405608113.49bp0.01000021PARTIAL
SELL$100.00K0.0405608113.49bp0.01000021PARTIAL

Risk metrics

sovereign store · 999 barsperiods/year ≈ 1.75M
Realized vol (annualised)
1128.84%
σ per bar = 0.008527
Mean return (annualised)
69174.64%
μ per bar = 0.000395
Sharpe (rf=0)
61.28
annualised; risk-free assumed zero
Max drawdown
12.20%
peak 0.20 → trough 0.18 over 184 bars

/api/asset/pm-elon-musk-of-tweets-june-16-june-23-160-179/risk · same metrics, JSON