Following the financial crisis dramatic market changes, a new standard in interest rate modelling emerged, called the multi-curve framework. The author provides a detailed analysis of the framework, through its foundations, evolution and implementation. The book also covers recent extensions to collateral and stochastic spreads modelling.

This book presents the mathematical issues that arise in modeling the interest rate term structure by casting the interest-rate models as stochastic evolution equations in infinite dimensions. The text includes a crash course on interest rates, a self-contained introduction to infinite dimensional stochastic analysis, and recent results in interest rate theory. From the reviews: "A wonderful book. The authors present some cutting-edge math." --WWW.RISKBOOK.COM

This book is an analysis of all possible interest rates. Dual expressions are used to solve long-standing puzzles, eliminate anomalies and draw conclusions about best practice and sound policy advice in areas of economics and finance. Topics include retail and corporate finance, capital budgeting and investment appraisal, bond risk management. An on-line model demonstrating ideas from the book is available in the Wolfram Demonstrations Project (WDP) by searching "multiple interest rate analysis" in the WDP search engine. A 'computable document' containing the model and the model's code are also available as free downloads from the site.

This book is an analysis of all possible interest rates. Dual expressions are used to solve long-standing puzzles, eliminate anomalies and draw conclusions about best practice and sound policy advice in areas of economics and finance. Topics include retail and corporate finance, capital budgeting and investment appraisal, bond risk management. An on-line model demonstrating ideas from the book is available in the Wolfram Demonstrations Project (WDP) by searching "multiple interest rate analysis" in the WDP search engine. A 'computable document' containing the model and the model's code are also available as free downloads from the site.

More than two years ago the European Central Bank (ECB) adopted a negative interest rate policy (NIRP) to achieve its price stability objective. Negative interest rates have so far supported easier financial conditions and contributed to a modest expansion in credit, demonstrating that the zero lower bound is less binding than previously thought. However, interest rate cuts also weigh on bank profitability. Substantial rate cuts may at some point outweigh the benefits from higher asset values and stronger aggregate demand. Further monetary accommodation may need to rely more on credit easing and an expansion of the ECB’s balance sheet rather than substantial additional reductions in the policy rate.

This paper focuses on negative interest rate policies and covers a broad range of its effects, with a detailed discussion of findings in the academic literature and of broader country experiences.

This book contains a critical analysis of the main theories of interest which have been published since B÷hm-Bawerk. The last part of the book gives an account of the author's own theory.The first part, which deals with the history of doctrines, discusses the theories of B÷hm-Bawerk, Wicksell, Akerman, and Hayek, authors who proceed from the assumption of stationary state.The second group of authors consists of Walras, Irving Fisher, and F. H. Knight, who assume a progressive economy in which net saving and investment occur.The third group of authors are those who stress the monetary factor. The central figure of this part is Keynes; but other authors, among them Patinkin, are also dealt with. The theories on the term structure of interest rates are discussed in the last part of the history of doctrines. The author's own theory deals with the problem of the interest rate first in terms of partial equilibrium analysis, whereby particular attention is paid to the influence of the banking system on the structure of interest rates.In the final chapter the author proceeds to expound the interest theory in the framework of general equilibrium analysis. A mathematical appendix concludes this book.Friedrich A. Lutz (1901-1975) taught economics at Princeton University for fifteen years before becoming Professor of Economics at the University of Zurich. He was also the president of the Mont Pelerin Society from 1964-1967.

March 1998 Differences in interest margins reflect differences in bank characteristics, macroeconomic conditions, existing financial structure and taxation, regulation, and other institutional factors. Using bank data for 80 countries for 1988-95, Demirgüç-Kunt and Huizinga show that differences in interest margins and bank profitability reflect various determinants: * Bank characteristics. * Macroeconomic conditions. * Explicit and implicit bank taxes. * Regulation of deposit insurance. * General financial structure. * Several underlying legal and institutional indicators. Controlling for differences in bank activity, leverage, and the macroeconomic environment, they find (among other things) that: * Banks in countries with a more competitive banking sector-where banking assets constitute a larger share of GDP-have smaller margins and are less profitable. The bank concentration ratio also affects bank profitability; larger banks tend to have higher margins. * Well-capitalized banks have higher net interest margins and are more profitable. This is consistent with the fact that banks with higher capital ratios have a lower cost of funding because of lower prospective bankruptcy costs. * Differences in a bank's activity mix affect spread and profitability. Banks with relatively high noninterest-earning assets are less profitable. Also, banks that rely largely on deposits for their funding are less profitable, as deposits require more branching and other expenses. Similarly, variations in overhead and other operating costs are reflected in variations in bank interest margins, as banks pass their operating costs (including the corporate tax burden) on to their depositors and lenders. * In developing countries foreign banks have greater margins and profits than domestic banks. In industrial countries, the opposite is true. * Macroeconomic factors also explain variation in interest margins. Inflation is associated with higher realized interest margins and greater profitability. Inflation brings higher costs-more transactions and generally more extensive branch networks-and also more income from bank float. Bank income increases more with inflation than bank costs do. * There is evidence that the corporate tax burden is fully passed on to bank customers in poor and rich countries alike. * Legal and institutional differences matter. Indicators of better contract enforcement, efficiency in the legal system, and lack of corruption are associated with lower realized interest margins and lower profitability. This paper-a product of the Development Research Group-is part of a larger effort in the group to study bank efficiency.

Filling a gap in the literature caused by the recent financial crisis, this book provides a treatment of the techniques needed to model and evaluate interest rate derivatives according to the new paradigm for fixed income markets. Concerning this new development, there presently exist only research articles and two books, one of them an edited volume, both being written by researchers working mainly in practice. The aim of this book is to concentrate primarily on the methodological side, thereby providing an overview of the state-of-the-art and also clarifying the link between the new models and the classical literature. The book is intended to serve as a guide for graduate students and researchers as well as practitioners interested in the paradigm change for fixed income markets. A basic knowledge of fixed income markets and related stochastic methodology is assumed as a prerequisite.