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Continuous-Time Asset Pricing Theory

A Martingale-Based Approach

  • Creates the foundation for the use of machine learning and high dimensional statistics in multi-factor models
  • Offers a deeper understanding of asset price bubbles
  • Sequentially studies arbitrage pricing theory, derivatives pricing, portfolio theory, and equilibrium pricing

Part of the book series: Springer Finance (FINANCE)

Part of the book sub series: Springer Finance Textbooks (SFTEXT)

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-xxiii
  2. Arbitrage Pricing Theory

    1. Front Matter

      Pages 1-2
    2. Stochastic Processes

      • Robert A. Jarrow
      Pages 3-20
    3. The Fundamental Theorems

      • Robert A. Jarrow
      Pages 21-74
    4. Asset Price Bubbles

      • Robert A. Jarrow
      Pages 75-90
    5. The Black Scholes Merton Model

      • Robert A. Jarrow
      Pages 109-118
    6. The Heath Jarrow Morton Model

      • Robert A. Jarrow
      Pages 119-143
    7. Reduced Form Credit Risk Models

      • Robert A. Jarrow
      Pages 145-159
    8. Incomplete Markets

      • Robert A. Jarrow
      Pages 161-166
  3. Portfolio Optimization

    1. Front Matter

      Pages 167-167
    2. Utility Functions

      • Robert A. Jarrow
      Pages 169-192
    3. Complete Markets (Utility Over Terminal Wealth)

      • Robert A. Jarrow
      Pages 193-211
    4. Incomplete Markets (Utility Over Terminal Wealth)

      • Robert A. Jarrow
      Pages 213-242
  4. Equilibrium

    1. Front Matter

      Pages 269-270
    2. Equilibrium

      • Robert A. Jarrow
      Pages 271-282
    3. A Representative Trader Economy

      • Robert A. Jarrow
      Pages 283-316
    4. Characterizing the Equilibrium

      • Robert A. Jarrow
      Pages 317-328
    5. Market Informational Efficiency

      • Robert A. Jarrow
      Pages 329-343

About this book

Asset pricing theory yields deep insights into crucial market phenomena such as stock market bubbles. Now in a newly revised and updated edition, this textbook guides the reader through this theory and its applications to markets. The new edition features ​new results on state dependent preferences, a characterization of market efficiency and a more general presentation of multiple-factor models using only the assumptions of no arbitrage and no dominance. 

Taking an innovative approach based on martingales, the book presents advanced techniques of mathematical finance in a business and economics context, covering a range of relevant topics such as derivatives pricing and hedging, systematic risk, portfolio optimization, market efficiency, and equilibrium pricing models. For applications to high dimensional statistics and machine learning, new multi-factor models are given. This new edition integrates suicide trading strategies into the understanding of asset price bubbles, greatly enriching the overall presentation and further strengthening the book’s underlying theme of economic bubbles.

Written by a leading expert in risk management, Continuous-Time Asset Pricing Theory is the first textbook on asset pricing theory with a martingale approach. Based on the author’s extensive teaching and research experience on the topic, it is particularly well suited for graduate students in business and economics with a strong mathematical background.

 

Authors and Affiliations

  • Samuel Curtis Johnson Graduate School, Cornell University, Ithaca, USA

    Robert A. Jarrow

About the author

Robert Jarrow is the Ronald P. and Susan E. Lynch Professor of Investment Management at Cornell’s SC Johnson College of Business (Ithaca, New York) and director of research at Kamakura Corporation. He is a co-creator of the Heath–Jarrow–Morton (HJM) model, the reduced form credit risk model, and the forward price martingale measure. 

Bibliographic Information

Buy it now

Buying options

eBook USD 59.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 79.99
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