Financial Derivatives & Risk Management

By Prof. J. P. Singh   |   IIT Roorkee
Learners enrolled: 2440
About the course:
Regulatory reforms across the world are gradually being introduced to reduce trade impediments between nations and usher in free market based pricing. Cross border investments through direct/portfolio routes are also being enticed as a medium for funding of growth and developmental activities. In addition, the governments of developing nations continue to pursue their strategy of partial privatization of the frontier sectors in an attempt to raise revenues for the exchequer as well as reduce operational losses with increased efficiency. Under these stimuli, scientific risk management by the investor fraternity becomes of cardinal necessity for generating competitive returns and surviving in the marketplace. Derivatives have proven to be immensely useful in the management of financial risk. Their vitality can be gauged from the exponential growth in trading volumes as well as the advent of new structured products literally on a day to day basis. Derivatives in petroleum and natural gas industries in the United States are, now, well entrenched, and they are being extensively used in the electricity industry as well. 
Traditional courses on derivatives can be classified almost exclusively into those: (i) that provide a comprehensive coverage of the underlying mathematical models using stochastic calculus  and develop the subject as an extension of probabilistic mathematics e.g. mathematical finance and (ii) that cover the theme purely at a superficial level focusing on the operating aspects like exchange trading methodologies, marking and margining aspects etc. They consciously avoid entering the mathematical/stochastic structure that forms the very basis of the pricing and applications of these instruments.
The first set is aimed at students who have had a sound grounding in mathematics and statistics and are inclined to study derivatives as an application of the theory of stochastic processes as part of their graduate degree in statistics. The other set caters to the needs of undergraduates/graduates in commerce or management who know very little about the mathematics of derivatives but study derivatives to work on the front office interfaces or trading terminals in broker houses or other market players. The fallout of this mutually exclusive segmentation is that both segments do not cover derivatives as a cogent wholesome. They deliver the content in the asymptote rather than as a mainstream course. This course fights that trend by covering in detail the topics that are thrown by the wayside in the traditional coverage.  It provides valuable insights into the underlying financial The fallout of this mutually exclusive segmentation is that both segments do not cover derivatives as a cogent wholesome. They deliver the content in the asymptote rather than as a mainstream course. This course fights that trend by covering in detail the topics that are thrown by the wayside in the traditional coverage. It provides valuable insights into the underlying financial.

INTENDED AUDIENCE : The audience would comprise of those desirous of get acquainted with the intricacies of derivatives pricing, their strategizing and their applications as hedging instruments and also, appreciating the nuances that have led to the origin and extensive development of this field of knowledge

PREREQUISITES : i) Basics of finance,
       (ii) Senior school mathematics (algebra, calculus & probability).   

INDUSTRY SUPPORT : This course will attract immense recognition in the entire financial services industry including banks,stock & commodity exchanges, stock & commodity brokers, portfolio managers, investment bankers,market regulators etc. Those employed in corporate finance shall also find it valuable as it would add to their versatility. Academicians will find it a gateway to further work in related areas.
Course Status : Completed
Course Type : Elective
Duration : 12 weeks
Category :
  • Management Studies
Credit Points : 3
Level : Postgraduate
Start Date : 23 Jan 2023
End Date : 14 Apr 2023
Enrollment Ends : 06 Feb 2023
Exam Registration Ends : 17 Mar 2023
Exam Date : 30 Apr 2023 IST

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

Page Visits

Course layout

Week 1: Overview of Derivatives; Forwards: Introduction & Pricing, Arbitrage, Forwards Pricing on Consumption Assets; Futures: Introduction & Salient Features.
Week 2: Futures: Margining & MTM, Forwards & Futures Prices, Exposure & Risk, Basics of Futures Hedging, Nuances in Futures Hedging.
Week 3: Further Aspects of Futures Hedging; Basics of Mean-Variance Portfolio Theory & CAPM; Systematic & Unsystematic Risk.     
Week 4: Index Futures: Features, Hedging & Arbitrage; Basics of Interest Rates, YTM & Other Yield Measures.
Week 5: Interest Rate Risk & Its Measurement; Interest Rate Futures: Features of IRFs, Hedging of Interest Rate Risk.
Week 6: T-Bill & Eurodollar Futures, T-Bond Futures; Tailing the Hedge; Basic Theory of Options.      
Week 7: Options: Price Bounds, Put-Call Parity; American Options; Trading Strategies.
Week 8: Option Spread Strategies; Stochastic Processes: Basic Theory, Brownian Motion, Diffusion Equation, Central Limit Theorem.  
Week 9: Ito’s Equation; Stock Price Distribution, Fokker Planck Equation; Option Pricing: Binomial Model.
Week 10: Girsanov Theorem; Black Scholes Model; Option Greeks.
Week 11: Option Greeks: Further Properties, Role in Trading; FRAs & Swaps.
Week 12: Valuation of Swaps; Value at Risk.

Books and references

1. Hull, John, C., “Risk Management & Financial Institutions”, Wiley Finance.
2. Hull, John, C., “Options, Futures & Other Derivatives”, Global Edition, Pearson Education. 
3. Neftci, Salih, N. “Principles of Financial Engineering” , Academic Press.
4. Cuthbertson, Keith & Nitzsche, Dirk, “ Financial Engineering: Derivatives & Risk Management”  John Wiley.
5. Saunders, Anthony & Cornett, Marcia Millon,  “Financial Institutions Management: A Risk Management Approach” McGraw Hill/Irwin.
6. Marshall, John, F & Bansal, Vipul, “Financial Engineering” PHI Learning.

Instructor bio

Prof. J. P. Singh

IIT Roorkee
Jatinder Pal Singh, is a Professor at the Indian Institute of Technology Roorkee. He is also a postgraduate in Physics, Mathematics and a graduate in Law & Operational Research. He is also a Fellow member of the Institute of Chartered Accountants of India & Institute of Company Secretaries of India, an Associate Member of Institute of Cost Accountants of India & Institution of Engineers (India). After about 10 years of corporate experience, he joined the Department of Management Studies, IIT Roorkee in 2001. He is presently Professor (HAG) in the said department. His research interests are in econophysics, mathematical finance, financial risk management, international finance and corporate governance.

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: 
30 April 2023 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.


Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

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 Roorkee.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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