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  • Textbook
  • © 2013

Mathematical Finance: Theory Review and Exercises

From Binomial Model to Risk Measures

  • Offers substantially more exercises on continuous time than do other textbooks
  • Includes three completely new chapters (one on Arbitrage Theory and Incompleteness, one on Risk Measures, and one on Stochastic Volatility Models and Models with jumps)
  • Presents a middle ground between the stochastic and the analytic approach to option pricing and hedging at a reasonable, but not trivial, mathematical level
  • Includes supplementary material: sn.pub/extras

Part of the book series: UNITEXT (UNITEXT, volume 70)

Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-x
  2. Short review of Probability and of Stochastic Processes

    • Emanuela Rosazza Gianin, Carlo Sgarra
    Pages 1-15
  3. Portfolio Optimization in Discrete-Time Models

    • Emanuela Rosazza Gianin, Carlo Sgarra
    Pages 17-30
  4. Binomial Model for Option Pricing

    • Emanuela Rosazza Gianin, Carlo Sgarra
    Pages 31-60
  5. Absence of Arbitrage and Completeness of Market Models

    • Emanuela Rosazza Gianin, Carlo Sgarra
    Pages 61-83
  6. Itô’s Formula and Stochastic Differential Equations

    • Emanuela Rosazza Gianin, Carlo Sgarra
    Pages 85-99
  7. Partial Differential Equations in Finance

    • Emanuela Rosazza Gianin, Carlo Sgarra
    Pages 101-122
  8. Black-Scholes Model for Option Pricing and Hedging Strategies

    • Emanuela Rosazza Gianin, Carlo Sgarra
    Pages 123-152
  9. American Options

    • Emanuela Rosazza Gianin, Carlo Sgarra
    Pages 153-171
  10. Exotic Options

    • Emanuela Rosazza Gianin, Carlo Sgarra
    Pages 173-199
  11. Interest Rate Models

    • Emanuela Rosazza Gianin, Carlo Sgarra
    Pages 201-232
  12. Pricing Models beyond Black-Scholes

    • Emanuela Rosazza Gianin, Carlo Sgarra
    Pages 233-245
  13. Risk Measures: Value at Risk and beyond

    • Emanuela Rosazza Gianin, Carlo Sgarra
    Pages 247-271
  14. Back Matter

    Pages 273-285

About this book

The book collects over 120 exercises on different subjects of Mathematical Finance, including Option Pricing, Risk Theory, and Interest Rate Models. Many of the exercises are solved, while others are only proposed. Every chapter contains an introductory section illustrating the main theoretical results necessary to solve the exercises. The book is intended as an exercise textbook to accompany graduate courses in mathematical finance offered at many universities as part of degree programs in Applied and Industrial Mathematics, Mathematical Engineering, and Quantitative Finance.

Reviews

From the book reviews:

“This work is a very useful companion volume to courses in mathematical finance, and it can also be successfully used for self-study.” (László Imre Szabó, Acta Scientiarum Mathematicarum (Szeged), Vol. 80 (1-2), 2014)

Authors and Affiliations

  • Dipartimento di Statistica e Metodi Quantitativi Milano-Bicocca, Milan, Italy

    Emanuela Rosazza Gianin

  • Dipartimento di Matematica, Politecnico di Milano, Milan, Italy

    Carlo Sgarra

About the authors

Carlo SGARRA: Associate Professor of Mathematical Finance, Politecnico di Milano, Italia Emanuela

ROSAZZA GIANIN: Associate Professor of Statistics and Quantitative Methods, University of Milano-Bicocca, Italia

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.99
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