POLYMARKET · PREDICTION MARKET · PORTUGAL VS. DR CONGO - MORE MARKETS

Spread: Portugal (-1.5)

YES · live

50.5¢

NO · live

49.5¢

▸ Advanced metrics · M2M bundle

polymarket · fifwc-prt-cdr-2026-06-17-spread-home-1pt5 · fresh · feed 0s old

24h sparkline · 60 pts▼ —

realized vol (ann.)

0.00%

max drawdown

0.00%

sharpe

—

ulcer index

0.00%

RMS drawdown

pain index

0.00%

mean drawdown

mod. VaR 95%

0.00%

Cornish-Fisher

martin ratio

—

ret / ulcer

CDaR 95%

0.00%

cond. drawdown

gain/pain

—

Σgain / Σ|loss|

sterling

—

ret / CDaR

omega (θ=0)

1.00

upside/downside

roll spread

0.0 bps

implied (price-only)

bars used

367

store

spread

—

24h Δ

—

flow lean

—

carry

flat

signalNEUTRALconfidence 20%

Same bundle via M2M API: /api/m2m/pm-fifwc-prt-cdr-2026-06-17-spread-home-1pt5/bundle · venue execution: polymarket →

LIVEPOLL0SRCFRESH10ms⏱--:--:-- UTCNEXT8.0sUP0s--:--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

50.5¢

NO · live

49.5¢

YES price · live 24h

25 ticks · last 50.50¢

YES / NO split · live

Σ 100.00% · fair

Σ-sides total = 100.00% (tight rounding)

H(p) entropy = 1.000 / 1.00 bits (100%) · max uncertainty (~50/50)

YES

50.5%50.5¢1.98×▬ +0.00pp

49.5%49.5¢2.02×▬ +0.00pp

Σ 100.00% · arb gap 0.00pp

Per-tick activity · |Δp| in basis points · live

Σ 0bp moved · peak 0bp · n=24 ticks

Live numerics · pulse on poll

LIVE NUMERICS8 metrics·POLL 0

⏱snapshot age

10ms

▲YES mid

50.50¢ (50.50%)

▼NO mid

49.50¢ (49.50%)

ΣΣ sides

100.00%

⚖arb gap

0.000pp

$24h vol $

$42.1k

≋liquidity $

$134.9k

◳history points

25 ticks (live)

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

YES price · CLOB mid

25 YES observations from clob.polymarket.com · last 50.50¢

NO price · CLOB mid

25 NO observations from clob.polymarket.com · last 49.50¢

§2 · Distribution of Δp

Histogram of hourly increments

n=24

Q-Q plot · standardised Δp vs N(0,1)

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=25LEFT-SKEWED (G₁=-0.94)

μ MEAN50.50¢95% CI: [50.50¢, 50.50¢]

σ STD DEV0.00ppσ² = 0.000×10⁻⁴ · CV = 0.00%

med MEDIAN50.50¢Q₁ 50.50¢ · Q₃ 50.50¢

FIVE-NUMBER SUMMARY · BOX PLOTrange 0.00pp · IQR 0.00pp (1.349σ→0.00pp)

SKEWNESS · G₁-0.941left-skewed

−3−10+1+3

EXCESS KURTOSIS · G₂-2.078platykurtic · thin tails

−30+2+4+6

μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.00

σ × 1.349 ↔ IQRdiverges from normalratio = 0.00

range ↔ σconcentrated (range < 4σ)range / σ = 0.00

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: MEAN-REVERTING · ADF rejects unit root

ρ(1) AUTOCORR+0.000within white-noise band

ρ(2) AUTOCORR+0.000lag-2 not significant

H · HURST EXPONENT0.500random-walk

OLS TREND · t-STAT+0.000fails 5% test

HURST EXPONENT [0, 1]random-walk · H = 0.500

H = 0.500RANDOM-WALK

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

OLS TREND · t-STAT · [-5, +5]NOT SIGNIFICANT (|t|=0.00)

−5 reject−1.960 retain H₀+1.96+5 reject

REGIME CLASSIFICATIONMEAN-REVERTING · ADF rejects unit rootfrom Hurst + ρ(1) joint diagnosis

PREDICTABILITY · score 0.00low · ~ unpredictable|ρ(1)| + 2·|H − 0.5| heuristic

TREND SIGNIFICANCENOT SIGNIFICANT (|t|=0.00)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 ID2326620

SLUGfifwc-prt-cdr-2026-06-17-spread-home-1pt5

CATEGORYPortugal vs. DR Congo - More Markets

TWO-SIDED PRICINGBALANCED · ~50/50

PRIMARY · YES50.50¢implied prob 50.50% · decimal odds 1.98×

COUNTER · NO49.50¢implied prob 49.50% · decimal odds 2.02×

50.50¢

49.50¢

Σ-SIDES ARBITRAGE TESTPERFECT · ARB-FREE Σ=100.00%

0%50%100% · target110%

Σ = 100.00% · |1 − Σ| = 0.000pp

24H ACTIVITY · LIQUIDITYACTIVE

24H VOLUME42.10k USD 24h

LIQUIDITY134.88k USD

MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient

PRICING SKEWBALANCED · ~50/50|primary − counter| = 0.010 · entropy 1.000 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

Probability scale (YES)

0%25%50%
fair75%100%

Implied decimal odds

YES1.98×(51¢)NO2.02×(50¢)

Kelly bet-size (% of bankroll) K* = 0.00%

K* full

0.00%

½K half

0.00%

¼K quarter

0.00%

Entropy H(p̂) = 1.000 bits (100% of max) · maximum uncertainty (~50/50)

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 · MEDIUMresolves 2026-06-17 17:00 UTC

2days

19hrs

21min

YES →$1.00(P = 50.5%)

NO →$0.00(P = 49.5%)

current: $0.5050 · expected return per side: $0.49 on YES hit · $0.51 on NO hit

Theta progression · θ ∝ σ / √t_remainingθ_now = 0.000 pp/day

now2.81d left

0.000 pp/day×1.00

−25%2.11d left

0.000 pp/day×1.15

−50%1.40d left

0.000 pp/day×1.41

−75%16.84h left

0.000 pp/day×2.00

−90%6.74h left

0.000 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

0 up bars · 0 down · best 0.00% · worst 0.00% · typical |Δ| 0.000%

§10 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough

final equity 1.0000 (0.00%) · max DD 0.00% · time-under-water 0/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative

latest 0.000 · range [0.00, 0.00] · μ 0.000 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window

Rolling annualised volatility (%)

latest 0.00% · range [0.00%, 0.00%] · μ 0.00% · σ̂ scaled to annualised (×√8760)

Rolling lag-1 autocorrelation ρ(1)

latest 0.000 · |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 4 REJECT · mixed evidence1 reject·3 pass·2 n/a·α = 0.05

𝒩

Jarque-Bera

FAIL TO REJECTns

H₀: Δp ~ Normal(μ, σ²)

STATISTIC

0.0000

p-VALUE (log scale)

1.0000

10⁻⁴10⁻³10⁻²10⁻¹1

Ljung-Box(h=5)

FAIL TO REJECTns

H₀: No serial autocorrelation up to lag 5

STATISTIC

0.0000

p-VALUE (log scale)

1.0000

10⁻⁴10⁻³10⁻²10⁻¹1

Dickey-Fuller (τ_μ)

N/An/a

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

STATISTIC

—

p-VALUE (log scale)

—

Wald-Wolfowitz runs

N/An/a

H₀: Sign sequence of Δ is random

STATISTIC

—

p-VALUE (log scale)

—

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC

0.0000

p-VALUE (log scale)

0.5000

10⁻⁴10⁻³10⁻²10⁻¹1

Variance ratio q=3

REJECT H₀**

H₀: Δp is a random walk · VR = 1

STATISTIC

-3.2863

p-VALUE (log scale)

0.0010

10⁻⁴10⁻³10⁻²10⁻¹1

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

dominant period ≈ 24.00h (freq 0.042) · concentrates 0.0% of total energy · Σ|X̂|²/n = 0.000e+0

▸ Depth section using sovereign-store price series (367 bars · effective 1753103 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 2.8 d · σ/bar 0.000pp · expected |Δp| over horizon 0.00ppterminal variance p(1−p) = 0.2500 · n = 367✓ n = 367

μ per bar

+0.000pp

average Δp · drift

σ per bar

0.000pp

one-bar volatility · logit-free

Per-day movedaily

0.00pp

σ × √24

Per-horizon move3d

0.00pp

σ × √67.3645125

Terminal variancebinary

0.2500

p(1−p) at resolution

Current pricep

50.5¢

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 0.00pp · ES₉₅ 0.00pp · method parametric · drift-correcteddrift +0.000pp/bar · quantised: yes · median step 0.00pp · unique ratio 0.00✓ n = 367

VaR 95%

0.00pp

1.645·σ (parametric) of Δp

ES 95%

0.00pp

mean of the tail

Max drawdown

0.0pp

peak 50.5¢ → trough 50.5¢

Median step

0.00pp

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

50.5%

= price

Decimal oddsEU

1.980

total return per $1

AmericanUS

-102

risk $102 to win $100

FractionalUK

0.98 / 1

profit per $1 risked

Profit per $100stake

+$98.02

clean dollar framing

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)

1.000 bit

max 1.0 at p = 0.5

Your entropyH(q)

1.000 bit

Δ +0.000 bit vs market

Surprise · YES−log₂ p

0.99 bit

self-information

Surprise · NO−log₂(1−p)

1.01 bit

self-information

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: 81501905420459883414099804011536997416544851520772967109163393241428523030192
NO token ID: 114663383579234684582417001849731637344359823526467479709519777640616212556032
Snapshot fetched: 2026-06-14 21:38:07 UTC
Snapshot age: 10ms
History points: 25 CLOB mids
Page rendered: 2026-06-14 21:38:07 UTC
Storage policy: no persistence — fetched on every request
SHA-256 attestation: bd99784704a7591bd3c0cb8354dc0cccffed8f2e261322650b6b7f27ee8ffe00 · deterministic hash of source snapshot
Open data licence: CC0 / public domain

§∞-2 · Related markets · explore more

HL PREDGermany100.0¢HL PREDSpain90.8¢HL PREDNetherlands78.2¢POLYMARKETWill Netherlands win on 2026-06-14?80¢POLYMARKETWill Australia win the 2026 FIFA World Cup?0¢POLYMARKETUS x Iran permanent peace deal by June 15, 2026?66¢HL PERPBTC-USD perpetual$64,885.5 HL PERPETH-USD perpetual$1,704.75 HL PERPHYPE-USD perpetual$61.95

Also see: /arb opportunities · RSS feed · more in Portugal vs. DR Congo - More Markets

Market depth

▸ live order book · Polymarket YES

Depth within 1bp

bid $0 · ask $0

Depth within 5bp

bid $0 · ask $0

Depth within 10bp

bid $0 · ask $0

Depth within 50bp

bid $0 · ask $0

Mid price

0.505000

(best bid + best ask) / 2

Spread

198.0bp

(bestAsk − bestBid) / mid

Imbalance (whole book)

-0.397

ask-heavy

Imbalance (top-5)

-0.523

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-fifwc-prt-cdr-2026-06-17-spread-home-1pt5/slippage?size=10000&side=buy

Side	Notional	Avg fill	Slippage	Worst fill	Levels	Status
BUY	$1.00K	0.510000	99.01bp	0.510000	1	FILLED
BUY	$10.00K	0.510000	99.01bp	0.510000	1	FILLED
BUY	$100.00K	0.514493	187.98bp	0.540000	4	FILLED
SELL	$1.00K	0.500000	99.01bp	0.500000	1	FILLED
SELL	$10.00K	0.500000	99.01bp	0.500000	1	FILLED
SELL	$100.00K	0.300413	4051.22bp	0.010000	14	PARTIAL

Risk metrics

▸ sovereign store · 367 barsperiods/year ≈ 1.75M

Realized vol (annualised)

0.00%

σ per bar = 0.000000

Mean return (annualised)

0.00%

μ per bar = 0.000000

Sharpe (rf=0)

0.00

annualised; risk-free assumed zero

Max drawdown

0.00%

peak 0.51 → trough 0.51 over 0 bars

/api/asset/pm-fifwc-prt-cdr-2026-06-17-spread-home-1pt5/risk · same metrics, JSON