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Analytical Finance: Volume I

The Mathematics of Equity Derivatives, Markets, Risk and Valuation

Palgrave Macmillan

Authors:

  • Combines theory and practice: the author combines rigorous academic theory with his many years’ practical experience to create a thorough, applied text on equity derivatives
  • Provides comprehensive coverage of the many theoretical and market approaches, problems and solutions to all the main modeling challenges for equity practitioners
  • Presents classroom-tested content: it has been used and developed over many years on the financial engineering MSc at the University of Mälardalen

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xxvii
  2. Trading Financial Instruments

    • Jan R. M. Röman
    Pages 1-20
  3. Time-Discrete Models

    • Jan R. M. Röman
    Pages 21-89
  4. Introduction to Probability Theory

    • Jan R. M. Röman
    Pages 91-143
  5. Continuous Time Models

    • Jan R. M. Röman
    Pages 145-243
  6. Black–Scholes – Diffusion Models

    • Jan R. M. Röman
    Pages 245-288
  7. Exotic Options

    • Jan R. M. Röman
    Pages 289-350
  8. Pricing Using Deflators

    • Jan R. M. Röman
    Pages 351-364
  9. Strategies with Options

    • Jan R. M. Röman
    Pages 365-460
  10. Back Matter

    Pages 461-492

About this book

This book provides an introduction to the valuation of financial instruments on equity markets. Written from the perspective of trading, risk management and quantitative research functions and written by a practitioner with many years’ experience in markets and in academia, it provides a valuable learning tool for students and new entrants to these markets.

Coverage includes:

·Trading and sources of risk, including credit and counterparty risk, market and model risks, settlement and Herstatt risks.

·Numerical methods including discrete-time methods, finite different methods, binomial models and Monte Carlo simulations.

·Probability theory and stochastic processes from the financial modeling perspective, including probability spaces, sigma algebras, measures and filtrations.

·Continuous time models such as Black-Scholes-Merton; Delta-hedging and Delta-Gamma-hedging; general diffusion models and how to solve Partial Differential Equation using theFeynmann-Kac representation.

·The trading, structuring and hedging several kinds of exotic options, including: Binary/Digital options; Barrier options; Lookbacks; Asian options; Chooses; Forward options; Ratchets; Compounded options; Basket options; Exchange and Currency-linked options; Pay later options and Quantos.

·A detailed explanation of how to construct synthetic instruments and strategies for different market conditions, discussing more than 30 different option strategies.

With source code for many of the models featured in the book provided and extensive examples and illustrations throughout, this book provides a comprehensive introduction to this topic and will prove an invaluable learning tool and reference for anyone studying or working in this field. 

Reviews

“The aim of this book is to cover the most essential elements of valuing derivatives on equity markets. ... The book may be used as a textbook for graduate students in mathematical and analytical finance, and also may be useful for practitioners working in this area of finance.” (Anatoliy Swishchuk, zbMATH 1382.91001, 2018)

Authors and Affiliations

  • Västerås, Sweden

    Jan R. M. Röman

About the author

Jan Röman is Senior Lecturer, Mälardaran University, where he teaches analytical finance and financial engineering. He is also a financial engineer in the Quantitative Risk Modelling Group at Swedbank Robur Funds, where he specializes in risk model validation, focusing on all inputs to front office systems including interest rates and volatility structures. Jan has over 16 years financial markets experience mostly in financial modeling and valuation in derivatives environments.  He has held positions as Head of Market and Credit Risk, Swedbank Markets, Senior Risk Analyst at the Swedish financial Supervisory Authority, Senior Developer at SunGard and Senior Developer, OMX Stockholm Exchange. He holds a License degree in Theoretical Physics from Chalmers University of Technology and has received a scholarship of the Nordic Minister Council to research at NORDITA, the Nordic Institute for Theoretical Physics. 

 

Bibliographic Information

  • Book Title: Analytical Finance: Volume I

  • Book Subtitle: The Mathematics of Equity Derivatives, Markets, Risk and Valuation

  • Authors: Jan R. M. Röman

  • DOI: https://doi.org/10.1007/978-3-319-34027-2

  • Publisher: Palgrave Macmillan Cham

  • eBook Packages: Economics and Finance, Economics and Finance (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s) 2017

  • Softcover ISBN: 978-3-319-34026-5Published: 13 February 2017

  • eBook ISBN: 978-3-319-34027-2Published: 07 February 2017

  • Edition Number: 1

  • Number of Pages: XXVII, 492

  • Number of Illustrations: 2 b/w illustrations, 1 illustrations in colour

  • Topics: Financial Engineering, Quantitative Finance, Capital Markets, Risk Management

Buy it now

Buying options

eBook USD 64.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 84.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access