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1\begin{table}[htbp]2\centering\small3\begin{threeparttable}4\caption{Price of the complete set of state claims: law-of-one-price tests}5\label{tab:completeness}6\begin{tabular}{l r r}7\toprule8 & Fed June 2026 & Election 2024 \\9 & ($N=5$ states) & ($N=17$ candidates) \\10\midrule11\multicolumn{3}{l}{\textit{Panel A: distribution of $\Sigma_t=\sum_j p_{j,t}$}} \\12    Observations $T$ & 146 & 304 \\13    Mean & 1.0167 & 1.0146 \\14    Median & 1.0093 & 1.0105 \\15    Standard deviation & 0.0261 & 0.0313 \\16    Minimum & 0.9605 & 0.9660 \\17    Maximum & 1.1080 & 1.5150 \\18\midrule19\multicolumn{3}{l}{\textit{Panel B: deviation $\Sigma_t-1$}} \\20    Mean deviation (overround) & 0.0167 & 0.0146 \\21    HAC standard error (5 lags) & 0.0044 & 0.0020 \\22    $t$-statistic, $H_0$: $\mathbb{{E}}[\Sigma_t-1]=0$ & 3.80 & 7.42 \\23    Mean absolute deviation & 0.0209 & 0.0162 \\24    Share of days with $\Sigma_t>1$ & 83.6\% & 91.8\% \\25    Share within $\pm 0.5$ pp & 25.3\% & 12.8\% \\26    Share within $\pm 1$ pp & 43.8\% & 42.4\% \\27    Share within $\pm 2$ pp & 65.1\% & 74.0\% \\28    Share within $\pm 5$ pp & 87.0\% & 98.7\% \\29\midrule30\multicolumn{3}{l}{\textit{Panel C: discount-adjusted bounds, $e^{-r_t\tau_t}\le\Sigma_t\le 1$}} \\31    Mean lower bound $e^{{-r_t\tau_t}}$ & 0.9890 & 0.9783 \\32    Mean $\Sigma_t-e^{{-r_t\tau_t}}$ & 0.0277 & 0.0363 \\33    Share inside bounds ($\pm 0.5$ pp) & 29.5\% & 18.4\% \\34    Share above upper bound & 65.1\% & 81.2\% \\35\midrule36\multicolumn{3}{l}{\textit{Panel D: dynamics of $\Sigma_t-1$}} \\37    AR(1) coefficient & 0.721 & 0.060 \\38    Half-life (days) & 2.1 & 0.2 \\39    ADF statistic (constant, AIC lag) & -2.82 & -16.40 \\40    ADF $p$-value & 0.055 & 0.000 \\41    Slope on time-to-resolution $\tau_t$ (years) & 0.113 & 0.020 \\42    \quad HAC $t$-statistic & 4.87 & 3.73 \\43\bottomrule44\end{tabular}45\begin{tablenotes}46\small47\item \textit{Notes:} $\Sigma_t$ is the sum of the daily closing prices of all contracts in the neg-risk group on days when all contracts are quoted. The Fed sample excludes the listing day (10 December 2025, $\Sigma=1.570$ on seeded quotes; including it gives mean 1.0204, SD 0.0525, maximum absolute deviation 0.570); the election sample likewise excludes its first complete day (4 January 2024, $\Sigma=1.515$). The lower bound discounts the \$1 payoff of the complete set at the effective federal funds rate (FRED DFF) over the remaining time to resolution; the upper bound is one because a complete set can be minted and its NO legs converted immediately through the neg-risk adapter. HAC standard errors use the Newey--West estimator with 5 lags.48\end{tablenotes}49\end{threeparttable}50\end{table}