Stochastic volatility and stochastic interest rates with mean-reverting Ornstein-Uhlenbeck and square root processing

Rehez Ahlip, Rik King

Research output: Chapter in Book / Conference PaperConference Paper

Abstract

In this paper, we extend the stochastic volatility model of Stein and Stein [25], where the volatility is given by a mean-reverting Ornstein-Uhlenbeck process to include stochastic interest rate given by mean-reverting square root process independent of stock returns. A closed-form pricing solution for European options is derived.
Original languageEnglish
Title of host publicationInternational Conference on Stochastic Finance, held in Lisbon, Portugal, 26-30 September, 20044
PublisherUniversidade Tecnica de Lisboa, Portugal
Number of pages1
Publication statusPublished - 2005
EventInternational Conference on Stochastic Finance -
Duration: 1 Jan 2005 → …

Conference

ConferenceInternational Conference on Stochastic Finance
Period1/01/05 → …

Keywords

  • interest rates
  • stochastic analysis
  • pricing
  • volatility

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