HJM Interest Rate Models with Fractional Brownian Motions PDF Download

Author: Alberto Ohashi
Publisher:
ISBN:
Category : Brownian motion processes
Languages : en
Pages : 32

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Book Description

Author: Damir Filipovic
Publisher: Springer
ISBN: 354044548X
Category : Mathematics
Languages : en
Pages : 138

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Book Description
Bond markets differ in one fundamental aspect from standard stock markets. While the latter are built up to a finite number of trade assets, the underlying basis of a bond market is the entire term structure of interest rates: an infinite-dimensional variable which is not directly observable. On the empirical side, this necessitates curve-fitting methods for the daily estimation of the term structure. Pricing models, on the other hand, are usually built upon stochastic factors representing the term structure in a finite-dimensional state space. Written for readers with knowledge in mathematical finance (in particular interest rate theory) and elementary stochastic analysis, this research monograph has threefold aims: to bring together estimation methods and factor models for interest rates, to provide appropriate consistency conditions and to explore some important examples.

Author: Nicolas Privault
Publisher: World Scientific Publishing Company
ISBN: 9813107308
Category : Business & Economics
Languages : en
Pages : 192

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Book Description
This textbook is written as an accessible introduction to interest rate modeling and related derivatives, which have become increasingly important subjects of interest in financial mathematics. The models considered range from standard short rate to forward rate models and include more advanced topics such as the BGM model and an approach to its calibration. An elementary treatment of the pricing of caps and swaptions under forward measures is also provided, with a focus on explicit calculations and a step-by-step introduction of concepts. Each chapter is accompanied with exercises and their complete solutions, making this book suitable for advanced undergraduate or beginning graduate-level students.

Author: Nicolas Privault
Publisher: World Scientific
ISBN: 9812832734
Category : Science
Languages : en
Pages : 191

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Book Description
This textbook is written as an accessible introduction to interest rate modeling and related derivatives, which have become increasingly important subjects of interest in financial mathematics. The models considered range from standard short rate to forward rate models and include more advanced topics such as the BGM model and an approach to its calibration. An elementary treatment of the pricing of caps and swaptions under forward measures is also provided, with a focus on explicit calculations and a step-by-step introduction of concepts. Each chapter is accompanied with exercises and their complete solutions, making this book suitable for advanced undergraduate or beginning graduate-level students.

Author: Alberto Ohashi
Publisher:
ISBN:
Category :
Languages : en
Pages : 24

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Book Description

Author: Peter Kohl-Landgraf
Publisher: BoD – Books on Demand
ISBN: 3833495375
Category : Derivative securities
Languages : en
Pages : 222

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Book Description
The Libor Market Model and its several extensions can be seen as state of the art in interest rate modeling. However, due to the ever increasing complexity of interest rate products, the high dimensionality of this approach starts to reach its limits from the computational side. This book is mainly concerned with a class of Markovian Yield Curve Models which try to overcome that disadvantage as they enable a low-dimensional deterministic and fast PDE valuation. The objective of this book is thereby threefold: - To illuminate in a compact way the connection between stochastic processes and partial differential equations as well as review the key features of arbitrage-free pricing. - To embed the here analyzed Markovian model class into the entire framework of interest rate models. - To present and implement robust numerical schemes, which enable an efficient computational treatment of risk-neutral product valuation by using PDE methods.

Author: René Carmona
Publisher: Springer
ISBN: 9783540812777
Category : Mathematics
Languages : en
Pages : 236

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Book Description
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

Author: Alberto Ohashi
Publisher:
ISBN:
Category :
Languages : en
Pages : 38

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Book Description

Author: Steven E. Shreve
Publisher: Springer Science & Business Media
ISBN: 9780387401010
Category : Business & Economics
Languages : en
Pages : 586

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Book Description
"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

Author: Lixin Wu
Publisher: CRC Press
ISBN: 1420090577
Category : Business & Economics
Languages : en
Pages : 356

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Book Description
Containing many results that are new or exist only in recent research articles, Interest Rate Modeling: Theory and Practice portrays the theory of interest rate modeling as a three-dimensional object of finance, mathematics, and computation. It introduces all models with financial-economical justifications, develops options along the martingale app