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  • Textbook
  • © 2023

Computational Finance with R

  • Discusses all aspects of computation, namely numerical, simulation, and statistical, in a single book
  • Explains every procedure with R code and is illustrated with tables and figures
  • Includes two chapters on machine learning in finance based on cutting-edge research topics

Part of the book series: Indian Statistical Institute Series (INSIS)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xiii
  2. Numerical Methods

    1. Front Matter

      Pages 1-1
    2. Preliminaries

      • Rituparna Sen, Sourish Das
      Pages 3-13
    3. Vectors and Matrices

      • Rituparna Sen, Sourish Das
      Pages 15-24
    4. Solving Nonlinear Equations

      • Rituparna Sen, Sourish Das
      Pages 25-32
    5. Numerical Integration

      • Rituparna Sen, Sourish Das
      Pages 33-46
    6. Numerical Differentiation

      • Rituparna Sen, Sourish Das
      Pages 47-52
    7. Numerical Methods for PDE

      • Rituparna Sen, Sourish Das
      Pages 53-64
    8. Optimization

      • Rituparna Sen, Sourish Das
      Pages 65-75
  3. Simulation Methods

    1. Front Matter

      Pages 77-77
    2. Monte Carlo Methods

      • Rituparna Sen, Sourish Das
      Pages 79-91
    3. Lattice Models

      • Rituparna Sen, Sourish Das
      Pages 93-107
    4. Simulating Brownian Motion

      • Rituparna Sen, Sourish Das
      Pages 109-125
    5. Variance Reduction

      • Rituparna Sen, Sourish Das
      Pages 127-143
  4. Statistical Methods

    1. Front Matter

      Pages 145-145
    2. Descriptive Statistics

      • Rituparna Sen, Sourish Das
      Pages 147-161
    3. Inferential Statistics

      • Rituparna Sen, Sourish Das
      Pages 163-177
    4. Bayesian Computation

      • Rituparna Sen, Sourish Das
      Pages 179-202
    5. Resampling

      • Rituparna Sen, Sourish Das
      Pages 203-211
    6. Statistical Risk Analysis

      • Rituparna Sen, Sourish Das
      Pages 213-228

About this book

This book prepares students to execute the quantitative and computational needs of the finance industry. The quantitative methods are explained in detail with examples from real financial problems like option pricing, risk management, portfolio selection, etc. Codes are provided in R programming language to execute the methods. Tables and figures, often with real data, illustrate the codes. References to related work are intended to aid the reader to pursue areas of specific interest in further detail. The comprehensive background with economic, statistical, mathematical, and computational theory strengthens the understanding. The coverage is broad, and linkages between different sections are explained. The primary audience is graduate students, while it should also be accessible to advanced undergraduates. Practitioners working in the finance industry will also benefit.

Reviews

“This book is based on the lecture notes that the authors have used at Chennai Mathematical Institute (CMI) and Indian Statistical Institute (ISI). The quantitative methods are explained in detail with examples from real financial problems like option pricing, risk management, portfolio selection, etc. Codes are provided in R programming language to execute the methods. ... The monograph is exclusively professionally written and the materials are presented in an attractive way.” (Nikolay Kyurkchiev, zbMATH 1519.91004, 2023)

Authors and Affiliations

  • Applied Statistics Unit, Indian Statistical Institute, Bengaluru, India

    Rituparna Sen

  • Department of Mathematics, Chennai Mathematical Institute, Siruseri, India

    Sourish Das

About the authors

Rituparna Sen is Associate Professor at the Applied Statistics Division, Indian Statistical Institute, Bangalore Centre, Karnataka, India. Earlier, she was Assistant Professor at the University of California at Davis from 2004–2011. With a Ph.D. in statistics from the University of Chicago, USA, she has been internationally recognized for her outstanding contributions to the applications of statistical theory and methods in finance and for her initiative and leadership in research, teaching, and mentoring in this area. She is on the editorial board of the Applied Stochastic Models in Business and Industry journal and several other journals. Rituparna is an elected member of the International Statistical Institute and a council member of the International Society for Business and Industrial Statistics. She has been awarded the Young Statistical Scientist Award by the International Indian Statistical Association in the Applications category and the Best Student Paper Award by the American Statistical Association section on the Statistical Computing and Women in Mathematical Sciences award by Technical University of Munich, Germany.

 

Sourish Das is Associate Professor of mathematics at Chennai Mathematical Institute (CMI), Tamil Nadu, India. At CMI, he teaches data science courses, including statistical finance using R and Python. His research interests are in Bayesian methodology, machine learning on big data in statistical finance, and environmental statistics. He did his Ph.D. in statistics from the University of Connecticut and postdoctoral work at Duke University, USA. He was awarded the UK Commonwealth Rutherford Fellowship to visit the University of Southampton, UK. He was awarded the Best Student Research Paper by the American Statistical Association section on Bayesian statistics.

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access