Real-Time Expected Value (+EV) Arbitrage Terminal
期待値 (+EV) アービトラージ・シミュレーター
ポアソン山分け希薄化 感応度テーブル
現在のジャックポットおよび税率設定に基づくモデル計算| 販売チケット枚数 | ポアソン強度 (λ) | 期待受取シェア E[1/(1+k)] | ジャックポット寄与額 | 総EV / チケット | 純EVデルタ | ステータス |
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Quantitative Arbitrage & Probability Engine
The FoxyLottery Real-Time Expected Value (+EV) Arbitrage Terminal is an actuarial calculation engine engineered to evaluate whether a sovereign lottery drawing has crossed the mathematical break-even threshold into positive expectation territory. By processing official multi-state lottery rules against prevailing macroeconomic yield curves and live sales volumes, the terminal models the precise expected monetary return per purchased ticket.
Core Mathematical Parameters
- Nominal Jackpot ($M): The advertised 30-year graduated annuity jackpot marketed by lottery officials across participating states.
- Estimated Tickets Sold ($M): Total tickets purchased across all participating jurisdictions for the drawing, determining Poisson collision density and multi-way split probabilities.
- Combined Tax Rate (%): Statutory federal withholding (37% top bracket) plus state income tax rate (ranging from 0% in non-income tax states to 10.9% in high-tax jurisdictions).
- Cash Option Ratio: The lump sum discount ratio determined by prevailing US Treasury yields, representing immediate liquidation value (typically 47% to 52%).
Actuarial Mechanics & Split Risk Modeling
A lottery ticket represents a discrete random variable whose expected return is dominated by the top jackpot tier. As nominal jackpots surge past headline-grabbing figures, public participation escalates exponentially, driving up ticket velocity. Under Poisson distribution modeling, the likelihood of multiple simultaneous winners dilutes individual payouts. True arbitrage only emerges when the discounted cash value after federal and state withholdings, adjusted for expected co-winners and lower-tier payouts ($0.248 baseline), exceeds the nominal two-dollar ticket price.
Mathematical Break-Even & Expected Value (+EV) Terminal
All sovereign lottery tickets operate under negative mathematical expectation (-EV) until jackpot pools cross statutory liquidity thresholds. Calculate your odds, net cash value, and split-risk probability with our free quantitative engine.
Run +EV Calculator →Actuarial Verification
All calculations are computed client-side in real-time matching the authoritative LotteryOracles::calculateLotteryEV specification, evaluating discrete combinations across 292,201,338 permutations.
FoxyLottery が提供する計算機および組合せエンジンは、主権宝くじ委員会（MUSL および WLA）が定める公式ルールと純粋な実証確率分布を評価するものです。宝くじの抽せんは独立したベルヌーイ試行であり、「ギャンブラーの誤謬」に支配されます。過去の抽せん結果が将来の機械的抽せんに影響を与えることは一切ありません。圧倒的大多数の抽せん回において、宝くじチケットは大幅なマイナス期待値（-EV）資産です。読者が当リサーチポータル経由で公認購入代行サービスを利用された場合、利用者の追加負担なしで当サイトが紹介手数料を受け取ることがあります。