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2017 | Buch

Interest Rate Derivatives Explained: Volume 2

Term Structure and Volatility Modelling

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Über dieses Buch

This book on Interest Rate Derivatives has three parts. The first part is on financial products and extends the range of products considered in Interest Rate Derivatives Explained I. In particular we consider callable products such as Bermudan swaptions or exotic derivatives. The second part is on volatility modelling. The Heston and the SABR model are reviewed and analyzed in detail. Both models are widely applied in practice. Such models are necessary to account for the volatility skew/smile and form the fundament for pricing and risk management of complex interest rate structures such as Constant Maturity Swap options. Term structure models are introduced in the third part. We consider three main classes namely short rate models, instantaneous forward rate models and market models. For each class we review one representative which is heavily used in practice. We have chosen the Hull-White, the Cheyette and the Libor Market model. For all the models we consider the extensions by a stochastic basis and stochastic volatility component. Finally, we round up the exposition by giving an overview of the numerical methods that are relevant for successfully implementing the models considered in the book.

Inhaltsverzeichnis

Frontmatter

Products

Frontmatter
Chapter 1. Vanilla Bonds and Asset Swaps
Abstract
In this chapter, we introduce some common vanilla interest rate products with a focus on securities and the corresponding hedge swaps. Here “vanilla” means that we exclude exotic features like callability that are discussed in later chapters.
Jörg Kienitz, Peter Caspers
Chapter 2. Callability Features
Abstract
In this chapter, we introduce callability which gives one party in a transaction the right (but not the obligation) to terminate the transaction early.
Jörg Kienitz, Peter Caspers
Chapter 3. Structured Finance
Abstract
Loans and loan-like instruments in structured finance are often structured in a similar way as bonds. They often contain call rights for example. However, these call rights are less standardized typically in structured finance, and other optionalities may be present that do not usually appear in structured bonds at all. In this chapter, we describe these specialities and give some valuation examples.
Jörg Kienitz, Peter Caspers
Chapter 4. More Exotic Features and Basis Risk Hedging
Abstract
In this chapter we discuss a number of additional exotic features beyond callability. Most of the features can be combined among each other and also with callability. We then conclude the product part with a brief overview on basis products.
Jörg Kienitz, Peter Caspers
Chapter 5. Exposures
Abstract
After August 2007 and with all the new regulatory requirements, term structure models are applied to simulate interest rate scenarios. This is done either under the real world or the risk neutral measure to estimate exposure for interest rate bearing instruments.
Jörg Kienitz, Peter Caspers

Volatility

Frontmatter
Chapter 6. The Heston Model
Abstract
In this chapter we introduce the subject of volatility modelling. Some issues have already been tackled in Kienitz (2014). We start with a short general introduction.
Jörg Kienitz, Peter Caspers
Chapter 7. The SABR Model
Abstract
This chapter is devoted to one of the most famous models used for smile and skew modelling in the interest rate markets. The Stochastic Alpha Beta Rho model or SABR in short was introduced in Hagan et al. (2002) and due to its ease of use and its flexibility was always among the first choice by practitioners.
Jörg Kienitz, Peter Caspers

Term Structure Models

Frontmatter
Chapter 8. Term Structure Models
Abstract
This chapter gives an introduction to term structure modelling without focusing on a single model but on different classes of models. First, we consider why it is necessary to assign a future evolution of the current yield curve.
Jörg Kienitz, Peter Caspers
Chapter 9. Short Rate Models
Abstract
In this chapter, we consider two of the favourite short rate models, the Gaussian Short Rate, respectively Linear Gauss Markov (LGM), model and the Cox–Ingersoll–Ross (CIR) model.
Jörg Kienitz, Peter Caspers
Chapter 10. A Gaussian Rates-Credit Pricing Framework
Abstract
In this section, we introduce a pricing model that is used to capture the joint dynamics of interest rates and credit spreads.
Jörg Kienitz, Peter Caspers
Chapter 11. Instantaneous Forward Rate Models and the Heath–Jarrow–Morton Framework
Abstract
This chapter gives an overview of the general Heath–Jarrow–Morton framework, Heath et al. (1992), and some particular examples.
Jörg Kienitz, Peter Caspers
Chapter 12. The Libor Market Model
Abstract
In the preceding chapters we considered different term structure models, for instance, the Gaussian short rate models or models for the instantaneous forward rate.
Jörg Kienitz, Peter Caspers
Backmatter
Metadaten
Titel
Interest Rate Derivatives Explained: Volume 2
verfasst von
Dr. Jörg Kienitz
Peter Caspers
Copyright-Jahr
2017
Electronic ISBN
978-1-137-36019-9
Print ISBN
978-1-137-36018-2
DOI
https://doi.org/10.1057/978-1-137-36019-9