الصفحة 1
الصفحة 1
Interest Rate Models : an Infinite Dimensional Stochastic Analysis Perspective
Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective studies the mathematical issues that arise in modeling the interest rate term structure. These issues are approached by casting the interest rate models as stochastic evolution equations in infinite dimensions. The book is comprised of three parts. Part I is a crash course on interest rates, including a statistical analysis of the data and an introduction to some popular interest rate models. Part II is a self-contained introduction to infinite dimensional stochastic analysis, including SDE in Hilbert spaces and Malliavin calculus. Part III presents some recent results in interest rate theory, including finite dimensional realizations of HJM models, generalized bond portfolios, and the ergodicity of HJM models.
Interest Rate Models - Theory and Practice : With Smile, Inflation and Credit
The fast-growing interest for hybrid products has led to new chapters. A special focus here is devoted to the pricing of inflation-linked derivatives. The three final new chapters are devoted to credit. Since Credit Derivatives are increasingly fundamental, and since in the reduced-form modeling framework much of the technique involved is analogous to interest-rate modeling, Credit Derivatives -- mostly Credit Default Swaps (CDS), CDS Options and Constant Maturity CDS - are discussed, building on the basic short rate-models and market models introduced earlier for the default-free market. Counterparty risk in interest rate payoff valuation is also considered, motivated by the recent Basel II framework developments.
Innovations in Macroeconomics ; 2nd ed.
Modern macroeconomics suffers from an unclear link between short-term Keynesian analysis and long-term growth modelling. Moreover, product and process innovations have been only partially integrated. The analysis suggests new approaches to innovations in open economies in many ways, including the Schumpeterian Mundell-Fleming model and new monetary growth models. A specific focus is on the role of innovations for output, employment and exchange rate developments. A new link between monetary analysis and growth modelling in open economies is presented. Structural change, innovations and growth are considered from a new perspective. This important new book sets a new direction for macroeconomics. By linking several strands of fundamental economic thinking into a coherent, integrated framework it provides a pathbreaking understanding into the fundamental forces shaping macroeconomic performance.
Innovations in Macroeconomics ; 1st ed.
Modern macroeconomics suffers from an unclear link between short-term Keynesian analysis and long-term growth modelling. Moreover, product and process innovations have been only partially integrated. The analysis suggests new approaches to innovations in open economies in many ways, including the Schumpeterian Mundell-Fleming model and new monetary growth models. A specific focus is on the role of innovations for output, employment and exchange rate developments. This book presents a new link between monetary analysis and growth modelling in open economies. Structural change, innovations and growth are considered from a new perspective. With respect to economic policy - in particular innovation policy - the analysis implies major changes, concerning both EU countries and other leading OECD economies.
Implementing Models in Quantitative Finance : Methods and Cases
This book puts numerical methods into action for the purpose of solving concrete problems arising in quantitative finance. Part one develops a comprehensive toolkit including Monte Carlo simulation, numerical schemes for partial differential equations, stochastic optimization in discrete time, copula functions, transform-based methods and quadrature techniques. The content originates from class notes written for courses on numerical methods for finance and exotic derivative pricing held by the authors at Bocconi University since the year 2000. Part two proposes eighteen self-contained cases covering model simulation, derivative valuation, dynamic hedging, portfolio selection, risk management, statistical estimation and model calibration. It encompasses a wide variety of problems arising in markets for equity, interest rates, credit risk, energy and exotic derivatives.
Hidden Markov Models in Finance
A number of methodologies have been employed to provide decision making solutions to a whole assortment of financial problems in today's globalized markets. Hidden Markov Models in Finance by Mamon and Elliott will be the first systematic application of these methods to some special kinds of financial problems; namely, pricing options and variance swaps, valuation of life insurance policies, interest rate theory, credit risk modeling, risk management, analysis of future demand and inventory level, testing foreign exchange rate hypothesis, and early warning systems for currency crises.
Financial economics and econometrics
Covers financial data and univariate models; asset returns; interest rates, yields and spreads; volatility and correlation; and corporate finance and policy. Each chapter begins with a theory in financial economics, followed by econometric methodologies which have been used to explore the theory. Next, the chapter presents empirical evidence and discusses seminal papers on the topic. Boxes offer insights on how an idea can be applied to other disciplines such as management, marketing and medicine, showing the relevance of the material beyond finance. Readers are supported with plenty of worked examples and intuitive explanations throughout the book, while key takeaways, ‘test your knowledge’ and ‘test your intuition’ features at the end of each chapter also aid student learning.
Economic spillovers, structural reforms and policy coordination in the Euro area
This book analyses economic interdependence in the Euro Area and provides estimates of the sign and size of economic spillovers and the impact of economic policy coordination concerning structural and budgetary policies on economic performance in the Euro Area. In the different chapters of the book, the following topics are studied: (i) the link between fiscal and monetary policies in the Euro Area; (ii) the link between public debt and long-term interest rates in the Euro Area; (iii) the link between budgetary stabilisation and the level of public debt in the Euro Area; (iv) the spillovers from structural reforms in the Euro Area, (v) the scope for the coordination of fiscal policies and of structural reforms in the Euro Area, and (vi) wage flexibility in the Euro Area.
Dynamic Asset Allocation with Forwards and Futures
DYNAMIC ASSET ALLOCATION WITH FORWARD AND FUTURES is an advanced text on the theory of forward and futures markets which aims at providing readers with a comprehensive knowledge of how prices are established and evolve over time, what optimal strategies one can expect from the participants, what characterizes such markets, and what major theoretical and practical differences distinguish futures from forward contracts. The book proposes an approach of these markets from the perspective of dynamic asset allocation and asset pricing theory within an inter-temporal framework. The main ingredients that are used are the assumed absence of frictions and arbitrage opportunities in financial and real markets, the uniqueness of the economic general equilibrium, when such an equilibrium is required and the tools of continuous time finance, namely martingale theory and stochastic dynamic programming. The scope of DYNAMIC ASSET ALLOCATION WITH FORWARD AND FUTURES is essentially theoretical, with emphasis on economic meaning and financial interpretation. Regarding investment and/or hedging, focus is on optimal strategies rather than on actual practice. Simulations, however, are performed when important insights can be delivered as to the practical relevance of some theoretical results. Also, optimal strategies using futures are shown to differ markedly from those using forwards. The following issues are examined: pure hedging, investment and hedging in complete or incomplete markets, currency risk, optimal spreading, presence of stochastic dividend or convenience yields, pricing of non-redundant futures or forwards by means of general equilibrium analysis, and revisiting of existing Capital Asset Pricing Models.
Continuous time processes for finance : Switching, self-exciting, fractional and other recent dynamics
This book explores recent topics in quantitative finance with an emphasis on applications and calibration to time-series. This last aspect is often neglected in the existing mathematical finance literature while it is crucial for risk management. The first part of this book focuses on switching regime processes that allow to model economic cycles in financial markets. After a presentation of their mathematical features and applications to stocks and interest rates, the estimation with the Hamilton filter and Markov Chain Monte-Carlo algorithm (MCMC) is detailed. A second part focuses on self-excited processes for modeling the clustering of shocks in financial markets.
Bond Portfolio Optimization
1 The tools of modern portfolio theory are in general use in the equity markets, either in the form of portfolio optimization software or as an accepted frame- 2 work in which the asset managers think about stock selection. In the ?xed income market on the other hand, these tools seem irrelevant or inapplicable. Bond portfolios are nowadays mainly managed by a comparison of portfolio 3 4 risk measures vis ¶a vis a benchmark. The portfolio manager’s views about the future evolution of the term structure of interest rates translate th- selves directly into a positioning relative to his benchmark, taking the risks of these deviations from the benchmark into account only in a very crude 5 fashion, i.e. without really quantifying them probabilistically. This is quite surprising since sophisticated models for the evolution of interest rates are commonly used for interest rate derivatives pricing and the derivation of ?xed 6 income risk measures.
