POLYMARKET · PREDICTION MARKET · ELON MUSK # TWEETS JUNE 13 - JUNE 15, 2026?

Will Elon Musk post 40-64 tweets from June 13 to June 15, 2026?

YES · live
28.5¢
NO · live
71.5¢

▸ Advanced metrics · M2M bundle

polymarket · elon-musk-of-tweets-june-13-june-15-40-64 · fresh · feed 0s old
realized vol (ann.)
max drawdown
sharpe
ulcer index
RMS drawdown
pain index
mean drawdown
mod. VaR 95%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
cond. drawdown
gain/pain
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
upside/downside
roll spread
implied (price-only)
bars used
0
insufficient
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 0%
  • insufficient history for risk metrics — directional read only
Same bundle via M2M API: /api/m2m/pm-elon-musk-of-tweets-june-13-june-15-40-64/bundle · venue execution: polymarket
LIVEPOLL0SRCFRESH4ms--:--:-- 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
28.5¢
NO · live
71.5¢
YES price · live 24h
n=25 · μ=0.3546 · σ=0.0958 · range [0.2350, 0.5450] · R²=0.648 FALLING -45.71%σ EXTREME 27.02%LAST 0.28500.54500.46750.39000.31250.2350μ = 0.3546max 0.5450min 0.2350dataMA(5)OLS R²=0.65μ lineμ ± σ bandmaxminlive endpoint
25 ticks · last 28.50¢
YES / NO split · live
YES 28.5%NO 71.5%NO71.5%71.50¢ · odds 1/1.40
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.862 / 1.00 bits (86%) · high uncertainty
YES
28.5%28.5¢3.51× +0.00pp
NO
71.5%71.5¢1.40× +0.00pp
Σ 100.00% · arb gap 0.00pp
Per-tick activity · |Δp| in basis points · live
n=24 · Σ=6,800 · μ=283.3 · σ=272.9 · CV=0.96BURSTYcumulative energy ↗ · 50% by h=110225450675900μ = 28390050%h1h5h9h13h17h21#1 peak#2-3> μactivequietμ linecum energy
Σ 6800bp moved · peak 900bp · n=24 ticks
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
4ms
YES mid
28.50¢ (28.50%)
NO mid
71.50¢ (71.50%)
ΣΣ sides
100.00%
arb gap
0.000pp
$24h vol $
$50.7k
liquidity $
$13.7k
history points
25 ticks (live)

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

YES price · CLOB mid
n=25 · μ=0.3546 · σ=0.0958 · range [0.2350, 0.5450] · R²=0.648 FALLING -45.71%σ EXTREME 27.02%LAST 0.28500.54500.46750.39000.31250.2350μ = 0.3546max 0.5450min 0.2350dataMA(5)OLS R²=0.65μ lineμ ± σ bandmaxmin
25 YES observations from clob.polymarket.com · last 28.50¢
NO price · CLOB mid
n=25 · μ=0.6454 · σ=0.0958 · range [0.4550, 0.7650] · R²=0.648 RISING +50.53%σ HIGH 14.85%LAST 0.71500.76500.68750.61000.53250.4550μ = 0.6454max 0.7650min 0.4550dataMA(5)OLS R²=0.65μ lineμ ± σ bandmaxmin
25 NO observations from clob.polymarket.com · last 71.50¢

§2 · Distribution of Δp

Histogram of hourly increments
n=24 · 10 bins · μ=-0.0093 · σ=0.0361 · skew=0.35 (symmetric) · kurt=0.21 (mesokurtic)754201-8.15ppbin -8.15pp · n=1 · 14.3% peakbin -8.15pp · n=1 · 14.3% peak1-6.45ppbin -6.45pp · n=1 · 14.3% peakbin -6.45pp · n=1 · 14.3% peak3-4.75ppbin -4.75pp · n=3 · 42.9% peakbin -4.75pp · n=3 · 42.9% peak4-3.05ppbin -3.05pp · n=4 · 57.1% peakbin -3.05pp · n=4 · 57.1% peak3-1.35ppbin -1.35pp · n=3 · 42.9% peakbin -1.35pp · n=3 · 42.9% peak70.35ppbin 0.35pp · n=7 · 100.0% peakbin 0.35pp · n=7 · 100.0% peak32.05ppbin 2.05pp · n=3 · 42.9% peakbin 2.05pp · n=3 · 42.9% peak3.75pp5.45pp27.15ppbin 7.15pp · n=2 · 28.6% peakbin 7.15pp · n=2 · 28.6% 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=0.44 · kurt=0.73 · near 19 / mid 5 / far 0 · OLS slope=0.99 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
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=0.72)
μ MEAN35.46¢95% CI: [31.70¢, 39.22¢]
σ STD DEV9.58ppσ² = 91.811 · CV = 27.02%
med MEDIAN32.00¢Q₁ 28.50¢ · Q₃ 46.50¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 23.50¢Q₁ 28.50¢med 32.00¢Q₃ 46.50¢max 54.50¢μ
SKEWNESS · G₁0.718right-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂-1.030platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.36
σ × 1.349 ↔ IQRdiverges from normalratio = 0.72
range ↔ σconcentrated (range < 4σ)range / σ = 3.24
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-0.057within white-noise band
ρ(2) AUTOCORR-0.012lag-2 not significant
H · HURST EXPONENT0.937strongly persistent
OLS TREND · t-STAT-6.501significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.937STRONGLY 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=1-0.057k=2-0.012k=3+0.022k=4-0.094k=5-0.0100+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 0.93very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=6.50)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 ID2506605
SLUGelon-musk-of-tweets-june-13-june-15-40-64
CATEGORYElon Musk # tweets June 13 - June 15, 2026?
TWO-SIDED PRICING
PRIMARY · YES28.50¢implied prob 28.50% · decimal odds 3.51×
COUNTER · NO71.50¢implied prob 71.50% · decimal odds 1.40×
28.50¢
71.50¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME50.74k USD 24h
LIQUIDITY13.67k USD
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (72¢)|primary − counter| = 0.430 · entropy 0.862 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 28.5%NO 71.5%YES28.5%H = 0.862 / 1.00 bits
Probability scale (YES)
0%25%50%
fair
75%100%
Implied decimal odds
YES3.51×(28¢)NO1.40×(72¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.862 bits (86% of max) · high 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 · HIGHresolves 2026-06-15 16:00 UTC
0days
20hrs
46min
YES$1.00(P = 28.5%)
NO$0.00(P = 71.5%)
current: $0.2850 · expected return per side: $0.72 on YES hit · $0.28 on NO hit
0%25%50%75%100%YES $1NO $0NOW+10.4hRESOLVESP projection · σ=9.58% · path funnel to settle at YES=1 or NO=0
Theta progression · θ ∝ σ / √t_remainingθ_now = 46.941 pp/day
now20.78h left
46.941 pp/day×1.00
−25%15.58h left
54.203 pp/day×1.15
−50%10.39h left
66.385 pp/day×1.41
−75%5.19h left
93.882 pp/day×2.00
−90%2.08h left
148.441 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 8.00% · worst -9.00% · typical |Δ| 2.83%BEARISH SESSION -24.00%BEST+8.00%13hWORST-9.00%7hTYPICAL |Δ|2.83%mean absoluteCUMULATIVE-24.00%Σ signed ΔSTREAK▬ 0flat-runASIA · 00-08 UTCμ -2.14% · Σ -15.00%EUROPE · 08-16 UTCμ -0.69% · Σ -5.50%US · 16-24 UTCμ -0.44% · Σ -3.50%CUMULATIVE Δ PATH · final -24.00%+2.00%-29.00%2.00% · 1h2.00% · 1h2.00%1h-3.00% · 2h-3.00% · 2h-3.00%2h-3.00% · 3h-3.00% · 3h-3.00%3h-2.00% · 4h-2.00% · 4h-2.00%4h0.00% · 5h0.00% · 5h·5h0.00% · 6h0.00% · 6h·6h-9.00% · 7h-9.00% · 7h-9.00%7h▼ WORST-3.00% · 8h-3.00% · 8h-3.00%8h-7.00% · 9h-7.00% · 9h-7.00%9h2.00% · 10h2.00% · 10h2.00%10h-4.00% · 11h-4.00% · 11h-4.00%11h0.00% · 12h0.00% · 12h·12h8.00% · 13h8.00% · 13h8.00%13h★ BEST-1.00% · 14h-1.00% · 14h-1.00%14h-0.50% · 15h-0.50% · 15h-0.50%15h-0.50% · 16h-0.50% · 16h-0.50%16h-1.00% · 17h-1.00% · 17h-1.00%17h-3.00% · 18h-3.00% · 18h-3.00%18h0.00% · 19h0.00% · 19h·19h-4.00% · 20h-4.00% · 20h-4.00%20h7.50% · 21h7.50% · 21h7.50%21h2.50% · 22h2.50% · 22h2.50%22h-5.00% · 23h-5.00% · 23h-5.00%23h0.00% · 24h0.00% · 24h·24hTIME PATTERNUS-led (+-3.50%)RUNSup max 2 · down max 5BREADTH21% up · 58% down · 21% flat
5 up bars · 14 down · best 8.00% · worst -9.00% · typical |Δ| 2.833%

§10 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsSEVERE DRAWDOWN -22.77%FINAL-22.77%MAX DD-27.67%RECOVERYONGOING · 23 barsMAX RUN-UP+2.00%UNDERWATER23/25 (92%)STREAK▬ 0EQUITY CURVE · end 0.7723 · peak 1.0200 · range [0.7378, 1.0200]1.02000.7378break-even = 1★ PEAK 1.0200UNDERWATER DRAWDOWN · max -27.67% · severe0%-27.67%▼ TROUGH -27.67%TOP DRAWDOWN PERIODS · 1 total#1 -27.67%bar 3-25 · 23 bars · ONGOINGDD SEVERITYsevere (max -27.67%)RECOVERYongoing · 23 barsTIME UNDER WATER92% of session · 23/25 bars
final equity 0.7723 (-22.77%) · max DD -27.67% · time-under-water 23/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +6 / −13 (32% positive) · μ=-34.35 · σ=43.04UNPROFITABLE STRATEGYLAST 3.43 (+0.88σ vs μ)89.2444.620.00-44.62-89.24μ = -34.35-46.80-46.80-80.08-80.08-80.08-80.08-87.86-87.86-60.89-60.89-79.22-79.22-79.22-79.22-11.82-11.82-6.04-6.0417.3517.357.767.7622.0922.098.068.06-89.24-89.24-87.07-87.07-3.84-3.847.447.44-6.60-6.603.433.43v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 3.431 · range [-89.24, 22.09] · μ -34.348 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=350.1066 · σ=104.4485 · range [98.1631, 494.0769] · R²=0.009 RISING +127.30%σ EXTREME 29.83%LAST 425.4880494.0769395.0985296.1200197.141698.1631μ = 350.1066max 494.0769min 98.1631dataMA(3)OLS R²=0.01μ lineμ ± σ bandmaxmin
latest 425.49% · range [98.16%, 494.08%] · μ 350.11% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +0 / −19 (0% positive) · μ=-0.206 · σ=0.138MEAN-REVERSIONLAST -0.232 (-0.18σ vs μ)0.5350.2680.000-0.268-0.535μ = -0.206-0.000-0.000-0.131-0.131-0.113-0.113-0.090-0.090-0.294-0.294-0.535-0.535-0.330-0.330-0.053-0.053-0.211-0.211-0.224-0.224-0.118-0.118-0.200-0.200-0.038-0.038-0.318-0.318-0.404-0.404-0.338-0.338-0.097-0.097-0.195-0.195-0.232-0.232v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.232 · |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
2.3551
p-VALUE (log scale)
0.3080
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
0.3870
p-VALUE (log scale)
0.9940
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedconsistent with white noise
Ψ

Dickey-Fuller (τ_μ)

FAIL TO REJECTns

H₀: p has a unit root (non-stationary)

STATISTIC
-1.7295
p-VALUE (log scale)
0.4240
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
-0.2282
p-VALUE (log scale)
0.8195
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (8 runs)
χ

KPSS (μ stationarity)

REJECT H₀*

H₀: p IS level-stationary

STATISTIC
0.6867
p-VALUE (log scale)
0.0148
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
-0.0617
p-VALUE (log scale)
0.9508
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.981 ≈ 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=1.42e-3 · top T=4.00h (24.8%) · top-3 cover 52.0%1 SIGNIFICANT CYCLEcumulative energy ↗ (1 bin above 2× noise)4.2e-33.2e-32.1e-31.1e-30.0e+0μ noise floor2× noise (significance)period 24.0 · power 1.63e-3 · 9.6% energyperiod 24.0 · power 1.63e-3 · 9.6% energyperiod 12.0 · power 1.43e-3 · 8.4% energyperiod 12.0 · power 1.43e-3 · 8.4% energyperiod 8.0 · power 2.34e-3 · 13.8% energyperiod 8.0 · power 2.34e-3 · 13.8% energyperiod 6.0 · power 1.25e-5 · 0.1% energyperiod 6.0 · power 1.25e-5 · 0.1% energyperiod 4.8 · power 2.24e-4 · 1.3% energyperiod 4.8 · power 2.24e-4 · 1.3% energyperiod 4.0 · power 4.21e-3 · 24.8% energyperiod 4.0 · power 4.21e-3 · 24.8% energyperiod 3.4 · power 3.79e-5 · 0.2% energyperiod 3.4 · power 3.79e-5 · 0.2% energyperiod 3.0 · power 1.84e-3 · 10.8% energyperiod 3.0 · power 1.84e-3 · 10.8% energyperiod 2.7 · power 2.29e-3 · 13.4% energyperiod 2.7 · power 2.29e-3 · 13.4% energyperiod 2.4 · power 7.10e-4 · 4.2% energyperiod 2.4 · power 7.10e-4 · 4.2% energyperiod 2.2 · power 2.28e-3 · 13.4% energyperiod 2.2 · power 2.28e-3 · 13.4% energyperiod 2.0 · power 1.09e-33 · 0.0% energyperiod 2.0 · power 1.09e-33 · 0.0% energy50% by T=4.0h#1 dominantT=4.00h#2T=8.00h#3T=2.67hT=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 ≈ 4.00h (freq 0.250) · concentrates 24.8% of total energy · Σ|X̂|²/n = 1.700e-2

§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 0.9 d · σ/bar 3.845pp · expected |Δp| over horizon 17.53ppterminal variance p(1−p) = 0.2038 · n = 25low confidence · n < 100
μ per bar
-1.000pp
average Δp · drift
σ per bar
3.845pp
one-bar volatility · logit-free
Per-day movedaily
18.84pp
σ × √24
Per-horizon move1d
17.53pp
σ × √20.77711027777778
Terminal variancebinary
0.2038
p(1−p) at resolution
Current pricep
28.5¢
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 7.32pp · ES₉₅ 8.93pp · method parametric · drift-correcteddrift -1.000pp/bar · quantised: yes · median step 1.00pp · unique ratio 0.72disabled · n < 30
VaR 95%
7.32pp
1.645·σ (parametric) of Δp
ES 95%
8.93pp
mean of the tail
Max drawdown
56.9pp
peak 54.5¢ → trough 23.5¢
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
28.5%
= price
Decimal oddsEU
3.509
total return per $1
AmericanUS
+251
$100 wins $251
FractionalUK
2.51 / 1
profit per $1 risked
Profit per $100stake
+$250.88
clean dollar framing
-1000-5000+500+1000020406080100you · 28.5%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)
0.862 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.862 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
1.81 bit
self-information
Surprise · NO−log₂(1−p)
0.48 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
105577993048948109580713045276679542431413340762946402420115963849346865805857
NO token ID
39577234398414241613289748679241795149829793792284485248363350884887923488707
Snapshot fetched
2026-06-14 19:13:22 UTC
Snapshot age
4ms
History points
25 CLOB mids
Page rendered
2026-06-14 19:13:22 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
87a3c395fa77aa188b905d197b93f7afa6975e36f850ae024f7c0d29d4fccfdf · 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 13 - June 15, 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
0.285000
(best bid + best ask) / 2
Spread
350.9bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.570
ask-heavy
Imbalance (top-5)
+0.060
bid-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-13-june-15-40-64/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.3298631574.15bp0.3700009FILLED
BUY$10.00K0.57257510090.37bp0.89000036FILLED
BUY$100.00K0.91180021993.00bp0.99000043FILLED
SELL$1.00K0.2312101887.38bp0.2100008FILLED
SELL$10.00K0.0912156799.47bp0.01000026PARTIAL
SELL$100.00K0.0912156799.47bp0.01000026PARTIAL

Risk metrics

upstream candles · 25 bars
Realized vol (annualised)
σ per bar = 0.122729
Mean return (annualised)
μ per bar = -0.025455
Sharpe (rf=0)
annualised; risk-free assumed zero
Max drawdown
56.88%
peak 0.55 → trough 0.23 over 19 bars

/api/asset/pm-elon-musk-of-tweets-june-13-june-15-40-64/risk · same metrics, JSON