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Regular version of the site
Master 2021/2022

Stochastic Analysis in Finance

Type: Elective course (Master of Finance)
Area of studies: Finance and Credit
Delivered by: HSE Banking Institute
When: 1 year, 4 module
Mode of studies: distance learning
Online hours: 8
Open to: students of one campus
Instructors: Boris Demeshev
Master’s programme: Finance
Language: English
ECTS credits: 4
Contact hours: 4

Course Syllabus

Abstract

Stochastic calculus is used in financial engineering. The minimum of required math will be covered: sigma-algebras, conditional expectations, martingales, Wiener process, stochastic integration. The big problem is that stochastic calculus is very hard from a mathematical viewpoint. We will formulate all the required theorems mostly without proofs.
Learning Objectives

Learning Objectives

  • The goal of this course is the Black and Scholes model and option pricing using martingale approach.
Expected Learning Outcomes

Expected Learning Outcomes

  • • understand the Black and Scholes model: – price simple European options using martingale approach – price exotic European options using simulations in open sources like R, python or juli.
Assessment Elements

Assessment Elements

  • non-blocking home assignment
  • non-blocking final exam
Interim Assessment

Interim Assessment

  • 2021/2022 4th module
    0.5 * home assignment + 0.5 * final exam

Authors

  • DEMESHEV BORIS BORISOVICH