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Continuity of the Distribution Function of the argmax of a Gaussian Process

Econometrica 2026 94(3), 941-955 open access
Certain extremum estimators have asymptotic distributions that are non‐Gaussian, yet characterizable as the distribution of the arg max of a Gaussian process. This paper presents high‐level sufficient conditions under which such asymptotic distributions admit a continuous distribution function. The plausibility of the sufficient conditions is demonstrated by verifying them in three examples, namely, maximum score estimation, empirical risk minimization, and threshold regression estimation. In turn, the continuity result buttresses several recently proposed inference procedures whose validity seems to require a result of the kind established herein. A notable feature of the high‐level assumptions is that one of them is designed to enable us to employ the Cameron–Martin theorem. In a leading special case, the assumption in question is demonstrably weak and appears to be close to minimal.

Marginal Q

Journal of Finance 2026 open access
We propose a new method to estimate the marginal value of capital under minimal assumptions. By combining asset prices with fundamentals, our method provides a quasi‐model‐free marginal q together with a simple correction for measurement error in (average) Tobin's Q using linear regressions. Marginal q yields plausible and robust estimates of adjustment costs and investment sensitivities to fundamentals. The widening gap between marginal q and Tobin's Q is driven primarily by market power and intangible capital. Our novel findings strongly support the neoclassical theory of investment and challenge the widespread use of Tobin's Q as proxy for investment opportunities.

Regulatory Incentives for Innovation: The FDA's Breakthrough Therapy Designation

The Review of Economics and Statistics 2026 108(2), 470-484
Regulators of new products confront a trade-off between speeding a product to market and collecting additional product quality information. The FDA's Breakthrough Therapy Designation (BTD) provides an opportunity to understand if regulators can use new policy to innovate around this trade-off. We find that the BTD program shortened clinical development times by 23% and did not affect the ex post safety profile of drugs with the designation. The BTD program had the greatest impact on less experienced firms and reduced clinical trial design complexity. The results suggest that targeted regulatory innovation can shorten R&D periods without compromising product quality.

Year-to-Year Adjustments of Performance Measure Weights: The Relevance of Prior Target Achievement

The Accounting Review 2026 open access
We examine year-to-year adjustments of performance measure weights in managers’ incentive contracts. Using survey panel data on financial middle managers over four years, we document that higher target achievement on a given measure is associated with an increase in the measure’s relative weight for the subsequent year. We explore three potential explanations for this pattern: retention considerations, managerial influence, and gradual strategic shifts. Consistent with retention considerations, we find that shifts toward better performing measures are stronger for managers who outperform their peers and in firms facing greater labor market competition. Consistent with managerial influence, we find that shifts are also stronger for managers with greater influence on their incentives and in firms with lower incentive design transparency. We find, however, no support for the gradual strategy change explanation, as results do not show that shifts vary with managers’ involvement in strategic decision-making or subsequently observed strategy changes. Data Availability: The survey data used in this project are protected by a nondisclosure agreement.

Quality Adjustment at Scale: Hedonic versus Exact Demand-Based Price Indices

American Economic Review 2026 116(6), 1955-1995
Item-level transactions data yield cost-of-living indices that can account for quality change and consumer substitution. Transactions data require confronting the rapid turnover of items because prices of new and existing products are interrelated in equilibrium. This paper evaluates multiple approaches to measuring quality change at scale. It shows that a hedonic superlative approach—using econometrics or machine learning for hedonic estimation combined with index formulas that require simultaneous observation of item-level price and expenditure—yields improved measures of the cost of living. Accounting for ubiquitous quality change and for consumer substitution yields lower measures of inflation than traditional, official methods.

A Welfare Analysis of Policies Impacting Climate Change

American Economic Review 2026 116(7), 2368-2421 open access
We study the welfare impacts of 96 climate-related tax and spending policies. We extend and apply the marginal value of public funds (MVPF) framework, most notably providing a new method for incorporating learning-by-doing spillovers. We find subsidies for the production of clean energy (such as wind production tax credits) have higher MVPFs than all other subsidies in our sample, including EV subsidies. Conservation nudges have large MVPFs when targeting regions with dirty grids. Fuel taxes and cap-and-trade policies are highly efficient means of raising revenue. We also construct traditional cost-per-ton estimates and compare and contrast the lessons they provide.

Competition Enforcement and Accounting for Intangible Capital

Journal of Finance 2026 81(3), 1217-1263 open access
Antitrust laws mandate review of mergers and acquisitions (M&As) that exceed an asset size threshold based on accounting standards that exclude most intangible capital. We show that this exclusion leads to thousands of intangible‐intensive M&As being nonreportable. Acquirers in nonreportable deals achieve higher equity values and price markups, especially when consolidating product markets. Furthermore, nonreportable pharmaceutical deals are three times more likely to involve overlapping drug projects, which are subsequently 40% more likely to be terminated. Our results suggest that the growth of intangible assets may exacerbate market power through nonreportable consolidation of the sectors most concerning for consumers.