NOSTRADAMUS · Position Analytics Engine
SIMULATOR Will Bitcoin reach $80,000 in June?
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A live, interactive instrument for dissecting a single binary position. Sweep the inputs and watch every indicator recompute — payoff geometry, Kelly growth, Bayesian posterior, KL divergence, cost waterfall, Monte-Carlo equity fan, forecast calibration. Companion to the live /feed/pm-will-bitcoin-reach-80k-in-june-2026 page.
▲ YES EDGE · +0.004 · f★ 0.4% · deploy 0.2% · net -0.34pp
§1 · Position economics
YES · Expected P/L per share +0.0041@ model P(YES) = 0.023
P/L per sharemarket pricemodel Pprofit zoneloss zone
Profit is linear in the eventual settlement price.
f★ = 0.42% · g(f★) = 0.043%deploy 0.21% · g = 0.033%
g(f)f★ optimumdeployed fgrowth zone
Underbet leaves growth on the table; overbet destroys capital. The interior maximum is f★.
§2 · The trade ticket
YES @ 0.018 · EV +$12stake $52 · 0.21% of bankroll
Deployed stakestake
$52
0.21% of bankroll
Sharesunits
2,826
each pays $1 if YES
Max payoutwin
$2,826
gross, if win
Max profitwin
+$2,774
net of cost
Max losslose
-$52
binary settles to $0
Payout multiple×
×54.05
$1 → $54.05
Risk:RewardR:R
53.05 : 1
win $53.05 per $1
Expected P/LE[P/L]
+$12
probability-weighted
| Outcome | P(model) | P/L | Contribution |
|---|---|---|---|
| Resolves YES (win) | 2.3% | +$2,774 | +$63 |
| Resolves against (lose) | 97.7% | -$52 | -$51 |
| Expected value | 100.0% | — | +$12 |
What you actually win and lose. The bottom table tabulates probability-weighted P/L by outcome.
§3 · Break-even & cushion
Cushion +0.4 pprelative edge +22.2%
Required win ratebreak-even
1.8%
price = implied probability
Model win rateP(win)
2.3%
what you forecast
Cushionedge
+0.4 pp
margin of safety
Fair pricemodel
0.023
where you think it should trade
The market price equals the win rate you must beat to make money.
§4 · Odds conversion
Implied probabilityP
1.8%
= price
Decimal oddsEU
54.054
total return per $1
AmericanUS
+5305
$100 wins $5305
FractionalUK
53.05 / 1
profit per $1 risked
Profit per $100stake
+$5305.41
clean dollar framing
underdog (+)favorite (-)your price
Five views of the same number.
§4b · Time & annualized return
APR 386% · APY 3156%ROI 22.2% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+22.2%
APR (simple)scaled
+386%
ROI × 365/days
APY (compounded)if redeployed
+3156%
(1+ROI)^(365/d) − 1
Daily expectedper day
+0.96%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
simple APRcompounded APYyour horizon
Rank positions by APR, not raw ROI. A thin edge tomorrow beats a fat edge next year.
§5 · Costs & net edge
Net edge -0.34 pperosion 183% · break-even w/ fees 2.6%
gross edgefrictionnet edgefee 0 bps · spread 1.50¢
The number that decides whether to trade.
§6 · Sizing menu
Full Kellyf★
$105
0.42% · g = 0.043%
Half Kelly½ f★
$52
0.21% · g = 0.033%
Quarter Kelly¼ f★
$26
0.10% · g = 0.020%
Flat 1%1%
$250
1.00% · g = -0.020%
Flat 2%2%
$500
2.00% · g = -0.340%
Flat 5%5%
$1,250
5.00% · g = -2.085%
Recommended¼ f★
$26
survives model error
Quarter-Kelly is the industry default — survives model error far better than full Kelly.
§7 · Information theory
Market entropyH(p)
0.133 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.156 bit
Δ +0.023 bit vs market
Surprise · YES−log₂ p
5.76 bit
self-information
Surprise · NO−log₂(1−p)
0.03 bit
self-information
H(p) peaks at p = 0.5 (one bit of irreducible doubt).
NOISE · D_KL(q ‖ p) = 0.0004 nat (0.0006 bit)belief ≈ market — stand down
YES contributionNO contributionbelief ‖ marketnoise
Zero KL ⇒ you know nothing the crowd doesn't.
§8 · Bayesian inference
MARKET PRICE INSIDE 95% CIposterior μ 0.023 · CI [0.00, 0.28] · κ 5.1
Posterior meanE[θ]
0.023
Beta(0.1, 5.0)
95% credible intervalHDI
[0.00, 0.28]
price INSIDE → weak edge
Concentrationκ
5.1
pseudo-obs behind belief
Disagreementvs crowd
+0.3 pp
posterior − price
market prior (dashed)model posterior95% credible bandmarket price
When the market price falls outside the 95% credible interval, your disagreement is statistically meaningful.
§9 · Tail risk · Monte-Carlo (mode A · single position to resolution)
E[P/L] +62.2% · P(YES) 3.0% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+62.16%
P(YES) empiricalq
3.0%
Best pathmax
+5305.4%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
median path25/75 + 5/95 bandsentry pricemodel q
Logit-space mean-reverting walk + terminal flip with probability q. Answers: 'what happens to THIS one position'. Distinct from the repeated-edge fan below.
§9b · Tail risk · Monte-Carlo (mode B · repeated independent edges)
Median CAGR/bet 0.50% · ruin rate 0.0%400 paths × 120 bets · f deploy 0.50%
Sharpe / betμ/σ
0.112
μ 0.60% · σ 5.3%
Sortino / betμ/σ↓
1.197
downside-only denominator
VaR 95%5%
-0.5%
per-bet worst-case
CVaR 95%ES
-0.5%
mean tail loss
Max drawdownMDD
-11.3%
Calmar 0.04
Ruin rate≤50%
0.0%
P(equity ever ≤ 50%)
median25/75 band5/95 bandruin line
Answers a different question: 'if I could find this exact edge forever, what is the bankroll trajectory'. Compounds 120 sequential resolutions which is NOT what happens to a single position.
§10 · Base-rate & macro context
ANCHORED · supported by convictionanchor gap -50.0pp · crowd gap -50.5pp
Anchor gapmodel − base
-50.0 pp
Crowd gapprice − base
-50.5 pp
Verdictdiscipline
ANCHORED
Reference-class anchoring prevents narrative-driven blowups.
§11 · Forecast quality (synthetic ledger)
SKILL POSITIVE · in-sample BSS 24.8% · AUC 0.792out-of-sample BSS (5-fold) 24.9% ± 2.4% · Brier 0.1879 · log-loss 0.5593 · n 1600✓ n = 1600
BrierBS
0.1879
lower = better · ō 0.49
BSSvs base
24.8%
improvement over base rate
ReliabilityREL
0.0026
miscalibration · want ↓
ResolutionRES
0.0648
decisiveness · want ↑
Log lossLL
0.5593
cross-entropy
AUCROC
0.792
0.5 coin · 1.0 oracle
calibration curveROCUNC (irreducible)RES (skill, ↑)REL (miscalib, ↓)
Computed on a seeded synthetic forecast ledger. Reseed (⟳) to redraw.
§12 · Journal vitals (synthetic ledger)
BLEEDING · PF 0.90 · expectancy -0.050R180 trades · win 52.2% · Sharpe -0.050
Total P/Lnet
-$2,232
on $45,000 cycled
Win ratehit %
52.2%
94 W / 86 L
Profit factorPF
0.90
$ won / $ lost
Expectancyper trade
-$12.40
avg $ per position
R-expectancyper risk
-0.050R
in units of risk taken
Avg win / losspayoff
$204.98 / -$250.00
ratio 0.82 : 1
Sharpe / traderisk-adj
-0.050
μR / σR
Closing line valueCLV
+2.75 pp
avg edge vs close
cumulative P/Lprofitable zonered zonesynthetic · seeded from asset
The scorecard every trader checks. Synthetic ledger seeded from the asset slug — recomputes against your real fill history once wired.