Lecture

Delta Hedging and the Greeks

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In course

FIN-404: Derivatives

This course provides a detailed presentation of the standard models for the valuation and hedging of derivatives products such as European options, American options, forward contracts, futures contract and exotic options. ...

Description

This lecture covers the Black-Scholes-Merton model for pricing derivatives, wealth dynamics, replication strategies, valuation partial differential equations, risk-neutral measures, the BSM formula, put-call parity, the Greeks (Delta, Gamma, Theta, Vega), market conventions, and dynamic hedging. It also discusses the relationship between the value of a portfolio and its greeks, hedging errors, engineering exposure, and (0, A)-hedging.

Instructor

Julien Hugonnier

Expertise Asset pricing theory, incomplete markets and financial frictions, general equilibrium theory, decision making under uncertainty Teaching & PhD PhD Students Luca Pagliuca, Darius Nik Nejad Past EPFL PhD Students Rodolfo Javier Prieto Katunaric, Michael Hasler, Giuliano Antonio Curatola, Julien Cujean, Thomas Antonius Geelen, Nicolas Gauderon, Benoit Vincent Sylvain Cornet Past EPFL PhD Students as codirector Rémy Praz, Cagil Kocyigit, Alexis Marchal Courses Derivatives FIN-404 Thi

Official source

Ontological neighbourhood

Economics

Microeconomics: Financial economics

Related concepts (31)

Greece

Greece, officially the Hellenic Republic, is a country in Southeast Europe, situated on the southern tip of the Balkan peninsula. Greece shares land borders with Albania to the northwest, North Macedonia and Bulgaria to the north, and Turkey to the east. The Aegean Sea lies to the east of the mainland, the Ionian Sea to the west, and the Sea of Crete and the Mediterranean Sea to the south. Greece has the longest coastline on the Mediterranean Basin, featuring thousands of islands.

Greeks

The Greeks or Hellenes (ˈhɛliːnz; Έλληνες, Éllines ˈelines) are an ethnic group and nation native to Greece, Cyprus, southern Albania, Anatolia, parts of Italy and Egypt, and to a lesser extent, other countries surrounding the Eastern Mediterranean and Black Sea. They also form a significant diaspora (), with many Greek communities established around the world. Greek colonies and communities have been historically established on the shores of the Mediterranean Sea and Black Sea, but the Greek people themselves have always been centered on the Aegean and Ionian seas, where the Greek language has been spoken since the Bronze Age.

Mathematical finance

Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling of financial markets. In general, there exist two separate branches of finance that require advanced quantitative techniques: derivatives pricing on the one hand, and risk and portfolio management on the other. Mathematical finance overlaps heavily with the fields of computational finance and financial engineering.

Delta neutral

In finance, delta neutral describes a portfolio of related financial securities, in which the portfolio value remains unchanged when small changes occur in the value of the underlying security. Such a portfolio typically contains options and their corresponding underlying securities such that positive and negative delta components offset, resulting in the portfolio's value being relatively insensitive to changes in the value of the underlying security.

Bond valuation

Bond valuation is the determination of the fair price of a bond. As with any security or capital investment, the theoretical fair value of a bond is the present value of the stream of cash flows it is expected to generate. Hence, the value of a bond is obtained by discounting the bond's expected cash flows to the present using an appropriate discount rate. In practice, this discount rate is often determined by reference to similar instruments, provided that such instruments exist.

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