The objective of this course is to enable students to integrate economic information within the scope of macroeconomic analysis and deduce the consequences with a view to predict the main macroeconomic variants (real GDP, inflation, interest rate, exchange rate, etc.). Such an analysis should mainly take into account the evolution of the international economy, especially the American economy as well as monetary and fiscal policies, expectations and education in economic cycles. It consists of an integral and differential calculation which is attached to the Brownian movement.

Directional transfer of positions to relative performance positions requires a solid mastery of financial futures business mechanics. Intra­market spread positions, inter­market and arbitrage relation will be tackled as well, once cover ratio calculus is underlined, notably the one adjusted by volatility.

Due to its large number of proprieties, the course begins with a study of the Brownian movement, one of the central schools of thought in random processes. The course moves on to an introduction to stochastic calculation, which has proved to be a remarkable tool in the study of stochastic processes for many years. The course introduces major elements, such as: essential mathematical aspects of derivative products pricing, hedging, the strategies related to generic rate swaps, accreting, amortizing, rollercoaster, forward rate start, futures, first generation options and exotics, warrants, convertibles, credit linked notes, total return and credit default swap. Finally, the course ends with the study of diffusions described by stochastic differential equations, which model many physical phenomena.

This course defines the various swap structures (cash swap, accreting, forward, etc.). It develops short term residual assessment and zero coupon methods, as well as FRA series and futures strip arbitrage. Derivative and cash products cover techniques through swaps will be tackled; therefore, shedding light on the ratio of covers. Besides, interest rate swap futures will be at the heart of a particular study, notably in the scope of credit and curve spreads.

This course aims at shedding light on rate product structuring with a view to tackle sensibility concepts for cover requirements. The course will also deal with duration and convexity concepts and their implication on neutral delta strategies, negative or positive gamma. Thus, it will be essential to introduce short run and long run rate futures with a view to tackle Base concept. Furthermore, the establishment and follow up of a bondholder portfolio will be at the heart of practical cases.

This course is exclusively dedicated to options; thus, it will enable students to better define options of pricing problems within the context of stochastic processes. In addition, the course aims to master implicit volatility concepts through the study of volatility cones. The dynamic follow up of options portfolios will be taken into great account, notably for cover requirements. Acquiring expertise in the evaluation of exotic options (with barriers, digital, Asiatic, etc.) is fundamental for coupon products or guaranteed capital structuring.

This course covers the various theoretical and practical aspects of the quantitative portfolio management. It sheds light on the concerned theories’ implications, notably in the course of “Capitals Market Theory” at the level of investment policies and performance measure. A great attention is given to portfolio management active strategies. Furthermore, students will be aware of the themes related to investment policies (objectives, constraints), asset allocation, assessment and performance. The global and mandatory management along with the use of derivative products for insurance and coverage objectives will be examined as well.

Due to the important revolution that took place in the financial markets in the past thirty years, new techniques have been invented to counter balance interest and exchange rates instability. The content of this course will provide students with the methodology that enables them to fix the price of many financial contracts. This course facilitates the comprehension of technical instruments through the application of quantitative methods on the financial markets. A full range of topics in probabilistic statistics and financial modelling will be addressed to make Financial Mathematics a must for all candidates who want to join dealing rooms as quantitative traders and arbitrageurs. Statistical techniques can be employed to test if and how well securities are correlated and by implication how well suited they are for arbitrage and trading. The curriculum includes: regression analysis, estimation approach, forecasting with times series, as well as high frequency pairs trading techniques.

This course aims to familiarize students with the techniques that link traditional business to optional products, and to modify the balance between risk and profitability of investors. In addition, the course introduces a wide vision related to creation possibilities of structured products since it includes in one presentation the products linked to shares, obligations and exchange rate. Finally, this course will enable students to understand and explain the countless products that are accessible to mass audience.

This course aims at analyzing historical data in graphs in order to find tendencies, support and resistance points. In addition, pricing and the future evolution of prices will be tackled. Furthermore, tendency indicators and oscillators will be introduced, as well as the Elliott and Gan theory. An introduction to the economic system as a whole and the way it functions is affected by the behavior of interdependent sectors, which will also be addressed in order for the student to understand and highlight the intrinsic links between financial and macroeconomic cycles.

This course provides the training needed for understanding, testing, conducting and writing a research paper in social sciences and management. It aims at helping students understand the stakes, the basics and the techniques of research in management by offering the tools for the personal development of their work.

A professional report should be based on the professional mission of a firm. By mobilizing the knowledge that has been acquired in one or two courses, the report should highlight the capacity of the student to conduct an analysis in relation to a practical problem. The report should not be limited to a description of the enterprise, but should have a point of view and include an analytical dimension, which promotes solutions, offer recommendations and show adapted measures.