Arbitrage Theory in Continuous Time
- 24 September 1998
- book
- Published by Oxford University Press (OUP)
Abstract
This book gives a comprehensive introduction to arbitrage theory for the pricing of contingent claims, such as options, futures, and other financial derivatives. The arbitrage theory for the term structure of interest rates is given particular consideration. Also included is a self‐contained exposition of stochastic optimal control, with applications to portfolio optimisation. The mathematical development is precise but avoids the explicit use of measure theory.Keywords
This publication has 56 references indexed in Scilit:
- Towards a general theory of bond marketsFinance and Stochastics, 1997
- Principles for modelling financial marketsJournal of Applied Probability, 1996
- A MULTIFACTOR GAUSS MARKOV IMPLEMENTATION OF HEATH, JARROW, AND MORTONMathematical Finance, 1994
- Path Dependent Options: The Case of Lookback OptionsThe Journal of Finance, 1991
- Interest Rate Option Pricing With Poisson‐Gaussian Forward Rate Curve ProcessesMathematical Finance, 1991
- Pricing foreign currency options under stochastic interest ratesJournal of International Money and Finance, 1991
- Approximations for the values of american optionsStochastic Analysis and Applications, 1991
- Optimal consumption with stochastic prices in continuous timeJournal of Applied Probability, 1987
- An Equilibrium Model of Bond Pricing and a Test of Market EfficiencyJournal of Financial and Quantitative Analysis, 1982
- Option pricing: A simplified approachJournal of Financial Economics, 1979