Simulation Based Valuation And Counterparty Exposure Estimation Of American Options

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Numerical Methods in Finance

Author : René Carmona
Publisher : Springer Science & Business Media
ISBN 13 : 3642257461
Total Pages : 478 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Numerical Methods in Finance by : René Carmona

Download or read book Numerical Methods in Finance written by René Carmona and published by Springer Science & Business Media. This book was released on 2012-03-23 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical methods in finance have emerged as a vital field at the crossroads of probability theory, finance and numerical analysis. Based on presentations given at the workshop Numerical Methods in Finance held at the INRIA Bordeaux (France) on June 1-2, 2010, this book provides an overview of the major new advances in the numerical treatment of instruments with American exercises. Naturally it covers the most recent research on the mathematical theory and the practical applications of optimal stopping problems as they relate to financial applications. By extension, it also provides an original treatment of Monte Carlo methods for the recursive computation of conditional expectations and solutions of BSDEs and generalized multiple optimal stopping problems and their applications to the valuation of energy derivatives and assets. The articles were carefully written in a pedagogical style and a reasonably self-contained manner. The book is geared toward quantitative analysts, probabilists, and applied mathematicians interested in financial applications.

International Convergence of Capital Measurement and Capital Standards

Author :
Publisher : Lulu.com
ISBN 13 : 9291316695
Total Pages : 294 pages
Book Rating : 4.2/5 (913 download)

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Book Synopsis International Convergence of Capital Measurement and Capital Standards by :

Download or read book International Convergence of Capital Measurement and Capital Standards written by and published by Lulu.com. This book was released on 2004 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Counterparty Credit Risk Modelling

Author : Michael Pykhtin
Publisher : Riskbooks
ISBN 13 : 9781904339762
Total Pages : 399 pages
Book Rating : 4.3/5 (397 download)

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Book Synopsis Counterparty Credit Risk Modelling by : Michael Pykhtin

Download or read book Counterparty Credit Risk Modelling written by Michael Pykhtin and published by Riskbooks. This book was released on 2005-01 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: To enhance your understanding of the risk management, pricing and regulation of counterparty credit risk, this new title offers the most detailed and comprehensive coverage available. Michael Pykhtin, a globally respected expert in credit risk, has combed the industry's most important organisations to assemble a winning team of specialist contributors - presenting you with the definitive insider view.

Counterparty Credit Risk, Collateral and Funding

Author : Damiano Brigo
Publisher : John Wiley & Sons
ISBN 13 : 047066178X
Total Pages : 464 pages
Book Rating : 4.4/5 (76 download)

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Book Synopsis Counterparty Credit Risk, Collateral and Funding by : Damiano Brigo

Download or read book Counterparty Credit Risk, Collateral and Funding written by Damiano Brigo and published by John Wiley & Sons. This book was released on 2013-03-05 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book’s content is focused on rigorous and advanced quantitative methods for the pricing and hedging of counterparty credit and funding risk. The new general theory that is required for this methodology is developed from scratch, leading to a consistent and comprehensive framework for counterparty credit and funding risk, inclusive of collateral, netting rules, possible debit valuation adjustments, re-hypothecation and closeout rules. The book however also looks at quite practical problems, linking particular models to particular ‘concrete’ financial situations across asset classes, including interest rates, FX, commodities, equity, credit itself, and the emerging asset class of longevity. The authors also aim to help quantitative analysts, traders, and anyone else needing to frame and price counterparty credit and funding risk, to develop a ‘feel’ for applying sophisticated mathematics and stochastic calculus to solve practical problems. The main models are illustrated from theoretical formulation to final implementation with calibration to market data, always keeping in mind the concrete questions being dealt with. The authors stress that each model is suited to different situations and products, pointing out that there does not exist a single model which is uniformly better than all the others, although the problems originated by counterparty credit and funding risk point in the direction of global valuation. Finally, proposals for restructuring counterparty credit risk, ranging from contingent credit default swaps to margin lending, are considered.

Modelling, Pricing, and Hedging Counterparty Credit Exposure

Author : Giovanni Cesari
Publisher : Springer Science & Business Media
ISBN 13 : 3642044549
Total Pages : 257 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Modelling, Pricing, and Hedging Counterparty Credit Exposure by : Giovanni Cesari

Download or read book Modelling, Pricing, and Hedging Counterparty Credit Exposure written by Giovanni Cesari and published by Springer Science & Business Media. This book was released on 2009-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: It was the end of 2005 when our employer, a major European Investment Bank, gave our team the mandate to compute in an accurate way the counterparty credit exposure arising from exotic derivatives traded by the ?rm. As often happens, - posure of products such as, for example, exotic interest-rate, or credit derivatives were modelled under conservative assumptions and credit of?cers were struggling to assess the real risk. We started with a few models written on spreadsheets, t- lored to very speci?c instruments, and soon it became clear that a more systematic approach was needed. So we wrote some tools that could be used for some classes of relatively simple products. A couple of years later we are now in the process of building a system that will be used to trade and hedge counterparty credit ex- sure in an accurate way, for all types of derivative products in all asset classes. We had to overcome problems ranging from modelling in a consistent manner different products booked in different systems and building the appropriate architecture that would allow the computation and pricing of credit exposure for all types of pr- ucts, to ?nding the appropriate management structure across Business, Risk, and IT divisions of the ?rm. In this book we describe some of our experience in modelling counterparty credit exposure, computing credit valuation adjustments, determining appropriate hedges, and building a reliable system.

Credit Risk Valuation

Author : Manuel Ammann
Publisher : Springer Science & Business Media
ISBN 13 : 3662064251
Total Pages : 259 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Credit Risk Valuation by : Manuel Ammann

Download or read book Credit Risk Valuation written by Manuel Ammann and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an advanced introduction to models of credit risk valuation, concentrating on firm-value and reduced-form approaches and their application. Also included are new models for valuing derivative securities with credit risk. The book provides detailed descriptions of the state-of-the-art martingale methods and advanced numerical implementations based on multivariate trees used to price derivative credit risk. Numerical examples illustrate the effects of credit risk on the prices of financial derivatives.

Monte Carlo Methods and Models in Finance and Insurance

Author : Ralf Korn
Publisher : CRC Press
ISBN 13 : 1420076191
Total Pages : 485 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Monte Carlo Methods and Models in Finance and Insurance by : Ralf Korn

Download or read book Monte Carlo Methods and Models in Finance and Insurance written by Ralf Korn and published by CRC Press. This book was released on 2010-02-26 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering a unique balance between applications and calculations, Monte Carlo Methods and Models in Finance and Insurance incorporates the application background of finance and insurance with the theory and applications of Monte Carlo methods. It presents recent methods and algorithms, including the multilevel Monte Carlo method, the statistical Rom

An Introduction to Variational Inequalities and Their Applications

Author : David Kinderlehrer
Publisher : SIAM
ISBN 13 : 0898714664
Total Pages : 328 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis An Introduction to Variational Inequalities and Their Applications by : David Kinderlehrer

Download or read book An Introduction to Variational Inequalities and Their Applications written by David Kinderlehrer and published by SIAM. This book was released on 2000-01-01 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unabridged republication is a resource for topics in elliptic equations and systems and free boundary problems.

Approximation Theory and Approximation Practice, Extended Edition

Author : Lloyd N. Trefethen
Publisher : SIAM
ISBN 13 : 1611975948
Total Pages : 377 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Approximation Theory and Approximation Practice, Extended Edition by : Lloyd N. Trefethen

Download or read book Approximation Theory and Approximation Practice, Extended Edition written by Lloyd N. Trefethen and published by SIAM. This book was released on 2019-01-01 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the fields most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. This textbook is appropriate for advanced undergraduate or graduate students who have an understanding of numerical analysis and complex analysis. It is also appropriate for seasoned mathematicians who use MATLAB.

Rethinking Valuation and Pricing Models

Author : Carsten Wehn
Publisher : Academic Press
ISBN 13 : 0124158889
Total Pages : 657 pages
Book Rating : 4.1/5 (241 download)

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Book Synopsis Rethinking Valuation and Pricing Models by : Carsten Wehn

Download or read book Rethinking Valuation and Pricing Models written by Carsten Wehn and published by Academic Press. This book was released on 2012-12-17 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is widely acknowledged that many financial modelling techniques failed during the financial crisis, and in our post-crisis environment many techniques are being reconsidered. This single volume provides a guide to lessons learned for practitioners and a reference for academics. Including reviews of traditional approaches, real examples, and case studies, contributors consider portfolio theory; methods for valuing equities and equity derivatives, interest rate derivatives, and hybrid products; and techniques for calculating risks and implementing investment strategies. Describing new approaches without losing sight of their classical antecedents, this collection of original articles presents a timely perspective on our post-crisis paradigm. - Highlights pre-crisis best classical practices, identifies post-crisis key issues, and examines emerging approaches to solving those issues - Singles out key factors one must consider when valuing or calculating risks in the post-crisis environment - Presents material in a homogenous, practical, clear, and not overly technical manner

Stochastic Calculus for Finance II

Author : Steven Shreve
Publisher : Springer
ISBN 13 : 9781441923110
Total Pages : 0 pages
Book Rating : 4.9/5 (231 download)

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Book Synopsis Stochastic Calculus for Finance II by : Steven Shreve

Download or read book Stochastic Calculus for Finance II written by Steven Shreve and published by Springer. This book was released on 2010-12-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A wonderful display of the use of mathematical probability to derive a large set of results from a small set of assumptions. In summary, this is a well-written text that treats the key classical models of finance through an applied probability approach....It should serve as an excellent introduction for anyone studying the mathematics of the classical theory of finance." --SIAM

Systemic Contingent Claims Analysis

Author : Mr.Andreas A. Jobst
Publisher : International Monetary Fund
ISBN 13 : 1475557531
Total Pages : 93 pages
Book Rating : 4.4/5 (755 download)

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Book Synopsis Systemic Contingent Claims Analysis by : Mr.Andreas A. Jobst

Download or read book Systemic Contingent Claims Analysis written by Mr.Andreas A. Jobst and published by International Monetary Fund. This book was released on 2013-02-27 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: The recent global financial crisis has forced a re-examination of risk transmission in the financial sector and how it affects financial stability. Current macroprudential policy and surveillance (MPS) efforts are aimed establishing a regulatory framework that helps mitigate the risk from systemic linkages with a view towards enhancing the resilience of the financial sector. This paper presents a forward-looking framework ("Systemic CCA") to measure systemic solvency risk based on market-implied expected losses of financial institutions with practical applications for the financial sector risk management and the system-wide capital assessment in top-down stress testing. The suggested approach uses advanced contingent claims analysis (CCA) to generate aggregate estimates of the joint default risk of multiple institutions as a conditional tail expectation using multivariate extreme value theory (EVT). In addition, the framework also helps quantify the individual contributions to systemic risk and contingent liabilities of the financial sector during times of stress.

Credit Risk

Author : Darrell Duffie
Publisher : Princeton University Press
ISBN 13 : 1400829178
Total Pages : 415 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Credit Risk by : Darrell Duffie

Download or read book Credit Risk written by Darrell Duffie and published by Princeton University Press. This book was released on 2012-01-12 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, two of America's leading economists provide the first integrated treatment of the conceptual, practical, and empirical foundations for credit risk pricing and risk measurement. Masterfully applying theory to practice, Darrell Duffie and Kenneth Singleton model credit risk for the purpose of measuring portfolio risk and pricing defaultable bonds, credit derivatives, and other securities exposed to credit risk. The methodological rigor, scope, and sophistication of their state-of-the-art account is unparalleled, and its singularly in-depth treatment of pricing and credit derivatives further illuminates a problem that has drawn much attention in an era when financial institutions the world over are revising their credit management strategies. Duffie and Singleton offer critical assessments of alternative approaches to credit-risk modeling, while highlighting the strengths and weaknesses of current practice. Their approach blends in-depth discussions of the conceptual foundations of modeling with extensive analyses of the empirical properties of such credit-related time series as default probabilities, recoveries, ratings transitions, and yield spreads. Both the "structura" and "reduced-form" approaches to pricing defaultable securities are presented, and their comparative fits to historical data are assessed. The authors also provide a comprehensive treatment of the pricing of credit derivatives, including credit swaps, collateralized debt obligations, credit guarantees, lines of credit, and spread options. Not least, they describe certain enhancements to current pricing and management practices that, they argue, will better position financial institutions for future changes in the financial markets. Credit Risk is an indispensable resource for risk managers, traders or regulators dealing with financial products with a significant credit risk component, as well as for academic researchers and students.

Revisiting Risk-Weighted Assets

Author : Vanessa Le Leslé
Publisher : International Monetary Fund
ISBN 13 : 1475502656
Total Pages : 50 pages
Book Rating : 4.4/5 (755 download)

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Book Synopsis Revisiting Risk-Weighted Assets by : Vanessa Le Leslé

Download or read book Revisiting Risk-Weighted Assets written by Vanessa Le Leslé and published by International Monetary Fund. This book was released on 2012-03-01 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we provide an overview of the concerns surrounding the variations in the calculation of risk-weighted assets (RWAs) across banks and jurisdictions and how this might undermine the Basel III capital adequacy framework. We discuss the key drivers behind the differences in these calculations, drawing upon a sample of systemically important banks from Europe, North America, and Asia Pacific. We then discuss a range of policy options that could be explored to fix the actual and perceived problems with RWAs, and improve the use of risk-sensitive capital ratios.

Option Pricing and Estimation of Financial Models with R

Author : Stefano M. Iacus
Publisher : John Wiley & Sons
ISBN 13 : 1119990203
Total Pages : 402 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Option Pricing and Estimation of Financial Models with R by : Stefano M. Iacus

Download or read book Option Pricing and Estimation of Financial Models with R written by Stefano M. Iacus and published by John Wiley & Sons. This book was released on 2011-02-23 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents inference and simulation of stochastic process in the field of model calibration for financial times series modelled by continuous time processes and numerical option pricing. Introduces the bases of probability theory and goes on to explain how to model financial times series with continuous models, how to calibrate them from discrete data and further covers option pricing with one or more underlying assets based on these models. Analysis and implementation of models goes beyond the standard Black and Scholes framework and includes Markov switching models, Lévy models and other models with jumps (e.g. the telegraph process); Topics other than option pricing include: volatility and covariation estimation, change point analysis, asymptotic expansion and classification of financial time series from a statistical viewpoint. The book features problems with solutions and examples. All the examples and R code are available as an additional R package, therefore all the examples can be reproduced.

Counterparty Risk and Funding

Author : Stéphane Crépey
Publisher : CRC Press
ISBN 13 : 1498785700
Total Pages : 390 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Counterparty Risk and Funding by : Stéphane Crépey

Download or read book Counterparty Risk and Funding written by Stéphane Crépey and published by CRC Press. This book was released on 2014-06-23 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solve the DVA/FVA Overlap Issue and Effectively Manage Portfolio Credit Risk Counterparty Risk and Funding: A Tale of Two Puzzles explains how to study risk embedded in financial transactions between the bank and its counterparty. The authors provide an analytical basis for the quantitative methodology of dynamic valuation, mitigation, and hedging of bilateral counterparty risk on over-the-counter (OTC) derivative contracts under funding constraints. They explore credit, debt, funding, liquidity, and rating valuation adjustment (CVA, DVA, FVA, LVA, and RVA) as well as replacement cost (RC), wrong-way risk, multiple funding curves, and collateral. The first part of the book assesses today’s financial landscape, including the current multi-curve reality of financial markets. In mathematical but model-free terms, the second part describes all the basic elements of the pricing and hedging framework. Taking a more practical slant, the third part introduces a reduced-form modeling approach in which the risk of default of the two parties only shows up through their default intensities. The fourth part addresses counterparty risk on credit derivatives through dynamic copula models. In the fifth part, the authors present a credit migrations model that allows you to account for rating-dependent credit support annex (CSA) clauses. They also touch on nonlinear FVA computations in credit portfolio models. The final part covers classical tools from stochastic analysis and gives a brief introduction to the theory of Markov copulas. The credit crisis and ongoing European sovereign debt crisis have shown the importance of the proper assessment and management of counterparty risk. This book focuses on the interaction and possible overlap between DVA and FVA terms. It also explores the particularly challenging issue of counterparty risk in portfolio credit modeling. Primarily for researchers and graduate students in financial mathematics, the book is also suitable for financial quants, managers in banks, CVA desks, and members of supervisory bodies.

Derivatives

Author : Jiří Witzany
Publisher : Springer Nature
ISBN 13 : 3030517519
Total Pages : 381 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Derivatives by : Jiří Witzany

Download or read book Derivatives written by Jiří Witzany and published by Springer Nature. This book was released on 2020-11-04 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book helps students, researchers and quantitative finance practitioners to understand both basic and advanced topics in the valuation and modeling of financial and commodity derivatives, their institutional framework and risk management. It provides an overview of the new regulatory requirements such as Basel III, the Fundamental Review of the Trading Book (FRTB), Interest Rate Risk of the Banking Book (IRRBB), or the Internal Capital Assessment Process (ICAAP). The reader will also find a detailed treatment of counterparty credit risk, stochastic volatility estimation methods such as MCMC and Particle Filters, and the concepts of model-free volatility, VIX index definition and the related volatility trading. The book can also be used as a teaching material for university derivatives and financial engineering courses.