Probability and Stochastic for Finance

By Prof. Joydeep Dutta | IIT Kanpur

Learners enrolled: 519 | Exam registration: 12

ABOUT THE COURSE: This course provides the minimum mathematical requirements to study mathematical finance or more precisely the pricing of financial derivatives

PRE-REQUISITE: Mathematics should be at least a course among the minor subjects.

INTENDED AUDIENCE: Senior UG or PG students in Mathematics, Physics, Economics or Finance with mathmatics as one of the subjects.Professionals from the finance industry.

INDUSRTY SUPPORT: Any financial firms like Goldman Sachs, Investment Department of Banks would be interested.

Summary

Course Status :	Upcoming
Course Type :	Core
Language for course content :	English
Duration :	8 weeks
Category :	Mathematics
Credit Points :	2
Level :	Undergraduate/Postgraduate
Start Date :	17 Feb 2025
End Date :	11 Apr 2025
Enrollment Ends :	17 Feb 2025
Exam Registration Ends :	24 Feb 2025
Exam Date :	03 May 2025 IST

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1:

Fundamentals of Interest Rate

Fixed income securities

Term structure of Interest rate-I

Term structure of Interest rate-II

Optimization problems in Finance

Week 2:

Crash course on Karush-Kuhn-Tucker Conditions

Mean Variance Portfolio Optimization

Marketing Model & Related Issues

The Capital Asset Pricing Model-I

The Capital Asset Pricing Model-II

Week 3:

The Basics of Financial Markets & Financial Derivatives

Binomial Trees and Arbitrage

Pricing Options using Binomial Trees-I

Pricing Options using Binomial Trees-II

Girsanov's Theorem

Week 4:

Black Scholes Formula:The Risk Neutral Approach

Books and references

NIL

Instructor bio

Prof. Joydeep Dutta

IIT Kanpur

Prof.Joydeep Dutta is currently a Professor of Economics at the Department of Humanities and Social Sciences, IIT Kanpur. He was previously a Professor at the Department of Mathematics and Statistics at IIT Kanpur. His reseach interest primarily lies in optimization though he loves mathematics as a whole.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.

The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).

Date and Time of Exams: May 3, 2025 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.

Registration url: Announcements will be made when the registration form is open for registrations.

The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.

Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

Please note that assignments encompass all types (including quizzes, programming tasks, and essay submissions) available in the specific week.

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Kanpur .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

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