Derivatives & Financial Engineering

Derivatives are financial products whose value depends on the price of other financial products (e.g. stocks, bonds, interest rates, foreign exchange rates or commodities). This course provides an introduction to standard derivatives like options and futures. It will cover basic valuation principles as well as standard valuation models. The focus of this course is on the practical implementation and calibration of these models.

Learning objectives

Upon completion of this course, you will be able to:

  • Understand the key terminology and products in derivative markets
  • Design no-arbitrage trades and replication strategies
  • Implement simple numerical pricing models (binomial tree or simulation)
  • Apply the Black/Scholes option pricing formula
  • Identify relevant data to calibrate pricing models in practice

Key concepts

  • Products: forwards and futures, call and put options, payoff diagrams
  • Valuation concepts: no-arbitrage, cost-of-carry, replication, risk-neutral valuation
  • Implementations: binomial tree (Cox/Ross/Rubinstein model), Black/Scholes model, Monte Carlo simulation
  • Option properties: Greeks, delta hedging, implied volatility

Course format

This course is offered in the part-time Master in Finance program and may be attended on a “nocredit” basis by individuals not enrolled in the program. Course participants are visitors whoare not responsible for assignments and do not take an exam. As the number of seats in thecourse is limited, we recommend to register online early.

Marc Crummenerl holds the position as EUREX Assistant Professor for Derivatives in the Finance Department at Goethe University. He studied Business Administration and Japanese at the University of Mannheim. Prior to earning his Doctorate at the University of Tübingen, he worked for several years as a Management Consultant at McKinsey and Company, Inc. in the Financial Institutions and Risk Management practices. His research covers a wide area of topics from risk management of financial institution over structural models in corporate finance to the analysis of risk premia in the stock markets. During his academic career, he also spent several semesters abroad at the University of Michigan and New York University.


Ludmila Ketterer

Senior Manager -
Master in Finance & Open Programs

  +49 69 798 33512


Key Facts

Course materials
Course materials will be provided in electronic form.

Course language

Course fee*
€ 1.900 (fee is exempt from VAT). The fee for GBS students or alumni amounts to € 800.

Certificate of participation
A GBS certificate of participation is awarded upon completion of the course.

Partially online via Zoom and Campus Westend of Goethe University Frankfurt.

*Withdrawal and fee refund

In case the course withdrawal request is received two weeks prior to the start of classes, GBS will retain a withdrawal fee of € 50. In case the course withdrawal request is received less than two weeks prior to the start of classes, GBS will retain 50% of the payment made.

Course Schedule


Sat., Nov. 21, 2020



Sat., Dec. 05, 2020



Fri., Dec. 18, 2020


Sat., Dec. 19, 2020



Fri., Jan. 08, 2021


Sat., Jan. 09, 2021



Sat., Jan. 23, 2021



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Program Registration

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