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Stochastic interest rate modeling with fixed income derivative pricing [electronic resource] / Nicolas Privault.

By: Privault, Nicolas.
Contributor(s): Privault, Nicolas. Elementary introduction to stochastic interest rate modeling.
Material type: materialTypeLabelBookSeries: Advanced series on statistical science & applied probability: vol. 22.Publisher: Singapore : World Scientific, 2021Edition: 3rd ed.Description: 1 online resource (372 p.) : ill.ISBN: 9789811226618; 981122661X.Subject(s): Interest rate futures -- Mathematical models | Stochastic modelsGenre/Form: Electronic books.DDC classification: 332.63/230151922 Online resources: Access to full text is restricted to subscribers.
Contents:
A review of stochastic calculus -- A review of Black-Scholes pricing and hedging -- Short-term interest rate models -- Pricing of zero-coupon and coupon bonds -- Forward rates and swap rates -- Curve fitting and a two-factor model -- Forward rate modeling -- Forward measures and derivative pricing -- Pricing of caps and swaptions -- Default bond pricing -- Appendix: Mathematical tools -- Solutions to the exercises.
Summary: "This book introduces the mathematics of stochastic interest rate modeling and the pricing of related derivatives, based on a step-by-step presentation of concepts with a focus on explicit calculations. The types of interest rates considered range from short rates to forward rates such as LIBOR and swap rates, which are presented in the HJM and BGM frameworks. The pricing and hedging of interest rate and fixed income derivatives such as bond options, caps, and swaptions, are treated using forward measure techniques. An introduction to default bond pricing and an outlook on model calibration are also included as additional topics. This third edition represents a significant update on the second edition published by World Scientific in 2012. Most chapters have been reorganized and largely rewritten with additional details and supplementary solved exercises. New graphs and simulations based on market data have been included, together with the corresponding R codes. This new edition also contains 75 exercises and 4 problems with detailed solutions, making it suitable for advanced undergraduate and graduate level students."-- Publisher's website.
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Previous ed. published as: An elementary introduction to stochastic interest rate modeling.

Includes bibliographical references and index.

A review of stochastic calculus -- A review of Black-Scholes pricing and hedging -- Short-term interest rate models -- Pricing of zero-coupon and coupon bonds -- Forward rates and swap rates -- Curve fitting and a two-factor model -- Forward rate modeling -- Forward measures and derivative pricing -- Pricing of caps and swaptions -- Default bond pricing -- Appendix: Mathematical tools -- Solutions to the exercises.

"This book introduces the mathematics of stochastic interest rate modeling and the pricing of related derivatives, based on a step-by-step presentation of concepts with a focus on explicit calculations. The types of interest rates considered range from short rates to forward rates such as LIBOR and swap rates, which are presented in the HJM and BGM frameworks. The pricing and hedging of interest rate and fixed income derivatives such as bond options, caps, and swaptions, are treated using forward measure techniques. An introduction to default bond pricing and an outlook on model calibration are also included as additional topics. This third edition represents a significant update on the second edition published by World Scientific in 2012. Most chapters have been reorganized and largely rewritten with additional details and supplementary solved exercises. New graphs and simulations based on market data have been included, together with the corresponding R codes. This new edition also contains 75 exercises and 4 problems with detailed solutions, making it suitable for advanced undergraduate and graduate level students."-- Publisher's website.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

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