Stochastic Optimal Power Flow Based on Data-Driven Distributionally Robust Optimization

We propose a data-driven method to solve a stochastic optimal power flow (OPF) problem based on limited information about forecast error distributions. The objective is to determine power schedules for controllable devices in a power network to balance operation cost and conditional value-at-risk (CVaR) of device and network constraint violations. These decisions include scheduled power output adjustments and reserve policies, which specify planned reactions to forecast errors in order to accommodate fluctuating renewable energy sources. Instead of assuming the uncertainties across the networks follow prescribed probability distributions, we assume the distributions are only observable through a finite training dataset. By utilizing the Wasserstein metric to quantify differences between the empirical data-based distribution and the real data-generating distribution, we formulate a distributionally robust optimization OPF problem to search for power schedules and reserve policies that are robust to sampling errors inherent in the dataset. A simple numerical example illustrates inherent tradeoffs between operation cost and risk of constraint violation, and we show how our proposed method offers a data-driven framework to balance these objectives

An Investigation of Voluntary Discovery and Disclosure of Environmental Violations Using Laboratory Experiments

This paper uses laboratory experiments to test individual responses to policies that seek to encourage firms to voluntarily discover and disclose violations of environmental standards. We find that while it is possible to motivate a significant number of voluntary disclosures without adversely affecting environmental quality, this result is sensitive to both the fine for disclosed violations and the assumption that firms know their compliance status without cost. When firms have to expend resources to determine their compliance status, motivating a significant number of violation disclosures yields worse environmental quality. Finally, relative to conventional enforcement, disclosure polices will result in more violations being sanctioned, but fewer of these sanctions are for violations that are uncovered by the government.enforcement, compliance, environmental standards, self-reporting, self-auditing voluntary disclosure

Banking liquidity as a leading approach to risk management

For the modern model of the market there are inherent existence of both a set of possibilities and a large number of hazards that are waiting for economic agents and which are generated by the need to make decisions in the conditions of considerable uncertainty about the future. Liquidity risk is one of the central places in the system of bank risks, is closely related to solvency and financial stability, and therefore its management is an extremely important element of financial management of the bank. This paper is devoted to the consideration of theoretical approaches to the management of bank liquidity risks, as well as understanding the risk of unbalanced liquidity and its place in the system of bank risks. In the course of the study, the essence of the concepts of uncertainty, risk as such, economic risk and its varieties, including banking is gradually clarified. We offer our own definition of "bank risk" and describe its essence. Based on the understanding of the concepts of bank risks, liquidity balance, bank liq uidity, the essence of the risk of unbalanced liquidity is disclosed, its characteristics and main aspects of management are determined. In determining the risk of liquidity as a probability of a future state, when the bank may suffer losses due to the imbalance of demand for liquidity and availability at a certain point in time, we believe that the essence of liquidity management is reduced to the maximum balance of demand for liquid assets and their actual availability in a certain moment of time using special tools. Our paper also reveals the mechanism of information influence on bank liquidity and its leading role in liquidity risk management processes. Moreover, the paper discloses the conceptual constituents of organizational support for bank liquidity risk management

We\u27re Cool Statements After Omnicare: Securities Fraud Suits for Failures to Comply with the Law

As part of a symposium celebrating the multiple contributions of the late Alan Bromberg, this article examines implications flowing from the Supreme Court’s recent decision in Omnicare Inc. v. Laborers District Council Construction Industry Pension Fund. Because Omnicare lands so squarely on the Court’s earlier opaque opinion in Virginia Bankshares, Inc. v. Sandberg addressing the treatment of the materiality of opinion statements, Omnicare is the new currency in the realm that will have far-reaching implications. In Virginia Bankshares, the Supreme Court quickly concluded shareholders would attach significance to the board of directors’ statement that the cash-out merger price was “fair” and “high” so that the statement met the materiality standard, but emphasized there was another, more perplexing, issue: whether such an opinion statement was a statement of fact. On this question, Virginia Bankshares’ formulation is hopelessly ambiguous. As developed in this article, Omnicare Inc. returns the focus to the traditional orientation of the information’s significance to the investor and thereby not only provides an understandable, indeed conventional vis-à-vis the common law, but also harbors the strong potential to dramatically change existing approaches to how we view general statements that provide optimism and reassurance, for example “puffery statements” or even what constitutes “meaningful cautionary language under the Bespeaks Caution Doctrine. The article also provides insight to how Omnicare complements the positive contributions of state law doctrine that has developed in the wake of Omnicare Inc. v. NCS Healthcare, Inc. that extended the directors’ monitoring duty to their oversight of compliance systems