Icef-scalc-2024-fall — различия между версиями

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Текущая версия на 23:36, 20 ноября 2024

Past exams collection

telegram QA and announcements

home assignments

video recordings

Course notes courtesy of Sofia Sobina

Lecturer: Boris Demeshev

Assistant: Ivan Gordeev

Grading:

Final grade = Stochastic calculus home assignment * 0.05 + December Exam * 0.35 + First module grade * 0.6


Schedule: Thursday from 2024-11-07, 13:00 Moscow time

Week 1. Sigma algebras, conditional expected value.

Week 2. Conditional variance, martingales, stopping times.

Week 3. Doob's theorem, ABRACADABRA, Wiener process.

Week 4. Stochastic integral: intuition.

Week 5. Stochastic integral: properties, Ito's lemma.

Week 6. Option pricing: binomial, Black and Scholes model.

Week 7. QA.

Sources of wisdom:

Brzezniak, Zastawniak, Basic Stochastic Processes

Steven Shreve, Stochastic Calculus for Finance: volume II and volume I

Michael Steele, Stochastic Calculus with Financial Applications


Past courses:

Wiki 2023 fall

Wiki 2022 fall