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R Programming for Actuarial Science
About this book
R Programming for Actuarial Science
Professional resource providing an introduction to R coding for actuarial and financial mathematics applications, with real-life examples
R Programming for Actuarial Science provides a grounding in R programming applied to the mathematical and statistical methods that are of relevance for actuarial work.
In R Programming for Actuarial Science, readers will find:
- Basic theory for each chapter to complement other actuarial textbooks which provide foundational theory in depth.
- Topics covered include compound interest, statistical inference, asset-liability matching, time series, loss distributions, contingencies, mortality models, and option pricing plus many more typically covered in university courses.
- More than 400 coding examples and exercises, most with solutions, to enable students to gain a better understanding of underlying mathematical and statistical principles.
- An overall basic to intermediate level of coverage in respect of numerous actuarial applications, and real-life examples included with every topic.
Providing a highly useful combination of practical discussion and basic theory, R Programming for Actuarial Science is an essential reference for BSc/MSc students in actuarial science, trainee actuaries studying privately, and qualified actuaries with little programming experience, along with undergraduate students studying finance, business, and economics.
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Information
Table of contents
- Cover
- Title Page
- Copyright Page
- Dedication
- Table of Contents
- About the Companion Website
- Introduction
- 1 R : What You Need to Know to Get Started
- 2 Functions in R
- 3 Financial Mathematics (1): Interest Rates and Valuing Cashflows
- 4 Financial Mathematics (2): Miscellaneous Examples
- 5 Fundamental Statistics: A Selection of Key Topics . Dr A Kume
- 6 Multivariate Distributions, and Sums of Random Variables
- 7 Benefits of Diversification
- 8 Modern Portfolio Theory
- 9 Duration – A Measure of Interest Rate Sensitivity
- 10 Asset-Liability Matching: An Introduction
- 11 Hedging: Protecting Against a Fall in Equity Markets
- 12 Immunisation – Redington and Beyond
- 13 Copulas
- 14 Copulas – A Modelling Exercise
- 15 Bond Portfolio Valuation: A Simple Credit Risk Model
- 16 The Markov 2-State Mortality Model
- 17 Approaches to Fitting Mortality Models: The Markov 2-state Model and an Introduction to Splines
- 18 Assessing the Suitability of Mortality Models: Statistical Tests
- 19 The Lee-Carter Model
- 20 The Kaplan-Meier Estimator
- 21 Cox Proportionate Hazards Regression Model
- 22 Markov Multiple State Models: Applications to Life Contingencies
- 23 Contingencies I
- 24 Contingencies II
- 25 Actuarial Risk Theory – An Introduction: Collective and Individual Risk Models
- 26 Collective Risk Models: Exercise
- 27 Generalised Linear Models: Poisson Regression
- 28 Extreme Value Theory
- 29 Introduction to Machine Learning: k-Nearest Neighbours (kNN)
- 30 Time Series Modelling in R – Dr A Kume
- 31 Volatility Models – GARCH
- 32 Modelling Future Stock Prices Using Geometric Brownian Motion: An Introduction
- 33 Financial Options: Pricing, Characteristics, and Strategies
- Index
- End User License Agreement