Multi-period guarantees are often embedded in life insurance contracts. In this paper we consider the problem of hedging these multi-period guarantees in the presence of transaction costs. We derive the hedging strategies for the cheapest hedge portfolio for a multi-period guarantee that with certainty makes the insurance company able to meet the obligations from the insurance policies it has issued. We find that by imposing transaction costs, the insurance company reduces the rebalancing of the hedge portfolio. The cost of establishing the hedge portfolio also increases as the transaction cost increases. For the multi-period guarantee there is a rather large rebalancing of the hedge portfolio as we go from one period to the next. By introducing transaction costs we find the size of this rebalancing to be reduced. Transaction costs may therefore be one possible explanation for why we do not see the insurance companies performing a large rebalancing of their investment portfolio at the end of each year.

Petroleum discovery in a country presents its policy makers with a challenging and complex task: formulating and agreeing on policies that will shape the country’s petroleum sector and guide the translation of the newly discovered resources into equitable and sustainable economic and social growth for the nation over the long term. Balancing Petroleum Policy provides policy makers and other stakeholders with the basic sector-related knowledge they need to embark on this task. It introduces a number of topics: the petroleum value chain and pivotal factors affecting value creation, a consultative process for developing a nation’s common vision on key petroleum development objectives, design of a legislative and contractual framework, petroleum fiscal regimes and their administration, prudent fiscal management, transparency and governance, environmental and social safeguards, and economic diversification through industrial linkages. Although much of the material is relevant to designing policies for the development of the petroleum sector in general, the book gives special focus to developing countries, countries in a federal or devolved setting, and countries that have experienced or are still experiencing civil conflict. With this focus in mind, the book examines three questions—ownership, management, and revenue sharing of petroleum resources—that are central to petroleum policy in any federal or devolved state. It also offers important perspectives on how to prevent violent conflicts related to such resources. Petroleum policies tend to vary significantly from country to country, as do the objectives that such policies aim to achieve in the specific context of each particular country. Although there is no one-size-fits-all policy and there are no clear-cut answers to the many potential policy dilemmas associated with the discovery of petroleum resources, this publication may help policy makers find the right balance among the chosen objectives—and the right policy choices to achieve these objectives.

This book highlights good practices and summarises what countries should consider before entering into public-private partnerships (PPPs).

This is a comprehensive introduction to the brand new theory of conic finance, also referred to as the two-price theory, which determines bid and ask prices in a consistent and fundamentally motivated manner. Whilst theories of one price classically eliminate all risk, the concept of acceptable risks is critical to the foundations of the two-price theory which sees risk elimination as typically unattainable in a modern financial economy. Practical examples and case studies provide the reader with a comprehensive introduction to the fundamentals of the theory, a variety of advanced quantitative models, and numerous real-world applications, including portfolio theory, option positioning, hedging, and trading contexts. This book offers a quantitative and practical approach for readers familiar with the basics of mathematical finance to allow them to boldly go where no quant has gone before.

"Studying this work in real time taught me a lot, but seeing it laid out in conceptual, rather than chronological, order provides even clearer insights into the evolution of this provocative line of research. Hansen and Sargent are two of the best economists of our time, they are also among the most dedicated teachers in our profession. They have once again moved the research frontier, and with this book provide a roadmap for the rest of us to follow. This is a must-have for anyone interested in modeling uncertainty, ambiguity and robustness."Stanley E ZinWilliam R Berkley Professor of Economics and BusinessLeonard N Stern School of BusinessNew York UniversityWritten by Lars Peter Hansen (Nobel Laureate in Economics, 2013) and Thomas Sargent (Nobel Laureate in Economics, 2011), Uncertainty within Economic Models includes articles adapting and applying robust control theory to problems in economics and finance. This book extends rational expectations models by including agents who doubt their models and adopt precautionary decisions designed to protect themselves from adverse consequences of model misspecification. This behavior has consequences for what are ordinarily interpreted as market prices of risk, but big parts of which should actually be interpreted as market prices of model uncertainty. The chapters discuss ways of calibrating agents' fears of model misspecification in quantitative contexts.