Implementing QuantLib
Implementing QuantLib
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Implementing QuantLib

Last updated on 2019-09-18

About the Book

This book is a report on the design and implementation of QuantLib, alike in spirit—but, hopefully, with less frightening results—to the How I did it book prominently featured in Mel Brooks' Young Frankenstein (in this case, of course, it would be "how we did it"). If you are, or want to be, a QuantLib user, you will find here useful information on the design of the library that might not be readily apparent when reading the code. If you're working in quantitative finance, even if not using QuantLib, you can still read it as a field report on the design of a financial library. You will find that it covers issues that you might also face, as well as some possible solutions and their rationale. Based on your constraints, it is possible—even likely—that you will choose other solutions; but you might profit from this discussion just the same.

The book is primarily aimed at users wanting to extend the library with their own instruments or models; if you desire to do so, the description of the available class hierarchies and frameworks will provide you with information about the hooks you need to integrate your code with QuantLib and take advantage of its facilities. If you're not this kind of user, don't give up on the book yet; you can find useful information too. However, you might want to look at the QuantLib Python Cookbook instead.

About the Author

Luigi Ballabio
Luigi Ballabio

Luigi Ballabio is Head of Quantitative Development at StatPro Italia, a Milan-based subsidiary of StatPro Group plc. He has worked at StatPro Italia since the company was founded (as RiskMap) in 2000, and focuses on the development of the pricing algorithms and models at the core of the StatPro Risk Service (SRS) providing data to its flagship Revolution product.

He is a co-founder, lead developer and administrator of QuantLib, an open-source project aiming at providing a comprehensive software framework for quantitative finance; he blogs about it at Well-known and appreciated among practitioners, the project started in late 2000 and reached a major milestone in February 2010 with the release of QuantLib 1.0; it has now released version 1.15, and will probably be beyond that by the time you read this.

Luigi holds a Ph.D. in applied nuclear physics from the University of Uppsala, Sweden. In his hometown near Milan, though, he is best known for playing the baritone saxophone in the local concert band—a fact that puts all of the above in a refreshing perspective.

He lives in Milan with his wife and four children.

Table of Contents

  • 1. Introduction
  • 2. Financial instruments and pricing engines
    • 2.1 The Instrument class
      • 2.1.1 Interface and requirements
      • 2.1.2 Implementation
      • 2.1.3 Example: interest-rate swap
      • 2.1.4 Further developments
    • 2.2 Pricing engines
      • 2.2.1 Example: plain-vanilla option
  • 3. Term structures
    • 3.1 The TermStructure class
      • 3.1.1 Interface and requirements
      • 3.1.2 Implementation
    • 3.2 Interest-rate term structures
      • 3.2.1 Interface and implementation
      • 3.2.2 Discount, forward-rate, and zero-rate curves
      • 3.2.3 Example: bootstrapping an interpolated curve
      • 3.2.4 Example: adding z-spread to an interest-rate curve
    • 3.3 Other term structures
      • 3.3.1 Default-probability term structures
      • 3.3.2 Inflation term structures
      • 3.3.3 Volatility term structures
      • 3.3.4 Equity volatility structures
      • 3.3.5 Interest-rate volatility structures
  • 4. Cash flows and coupons
    • 4.1 The CashFlow class
    • 4.2 Interest-rate coupons
      • 4.2.1 Fixed-rate coupons
      • 4.2.2 Floating-rate coupons
      • 4.2.3 Example: LIBOR coupons
      • 4.2.4 Example: capped/floored coupons
      • 4.2.5 Generating cash-flow sequences
      • 4.2.6 Other coupons and further developments
    • 4.3 Cash-flow analysis
      • 4.3.1 Example: fixed-rate bonds
  • 5. Parameterized models and calibration
    • 5.1 The CalibrationHelper class
      • 5.1.1 Example: the Heston model
    • 5.2 Parameters
    • 5.3 The CalibratedModel class
      • 5.3.1 Example: the Heston model, continued
  • 6. The Monte Carlo framework
    • 6.1 Path generation
      • 6.1.1 Random-number generation
      • 6.1.2 Stochastic processes
      • 6.1.3 Random path generators
    • 6.2 Pricing on a path
    • 6.3 Putting it all together
      • 6.3.1 Monte Carlo traits
      • 6.3.2 The Monte Carlo model
      • 6.3.3 Monte Carlo simulations
      • 6.3.4 Example: basket option
  • 7. The tree framework
    • 7.1 The Lattice and DiscretizedAsset classes
      • 7.1.1 Example: discretized bonds
      • 7.1.2 Example: discretized option
    • 7.2 Trees and tree-based lattices
      • 7.2.1 The Tree class template
      • 7.2.2 Binomial and trinomial trees
      • 7.2.3 The TreeLattice class template
    • 7.3 Tree-based engines
      • 7.3.1 Example: callable fixed-rate bonds
  • 8. The finite-difference framework
    • 8.1 The old framework
      • 8.1.1 Differential operators
      • 8.1.2 Evolution schemes
      • 8.1.3 Boundary conditions
      • 8.1.4 Step conditions
      • 8.1.5 The FiniteDifferenceModel class
      • 8.1.6 Example: American option
      • 8.1.7 Time-dependent operators
    • 8.2 The new framework
      • 8.2.1 Meshers
      • 8.2.2 Operators
      • 8.2.3 Examples: Black-Scholes operators
      • 8.2.4 Initial, boundary, and step conditions
      • 8.2.5 Schemes and solvers
  • 9. Conclusion
  • A. Odds and ends
    • Basic types
    • Date calculations
      • Dates and periods
      • Calendars
      • Day-count conventions
      • Schedules
    • Finance-related classes
      • Market quotes
      • Interest rates
      • Indexes
      • Exercises and payoffs
    • Math-related classes
      • Interpolations
      • One-dimensional solvers
      • Optimizers
      • Statistics
      • Linear algebra
    • Global settings
    • Utilities
      • Smart pointers and handles
      • Error reporting
      • Disposable objects
    • Design patterns
      • The Observer pattern
      • The Singleton pattern
      • The Visitor pattern
  • B. Code conventions
  • QuantLib license
  • Bibliography
  • Notes

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