Lecture

Multiperiod Valuation and Hedging

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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 concepts of arbitrage, martingale measures, and the fundamental theorem of asset pricing in the context of multiperiod models. It explains the absence of arbitrage, the interpretation of equivalent probabilities, and the completeness of financial markets. The instructor discusses attainable derivatives, pricing, and hedging strategies, emphasizing the importance of market completeness in determining replicating portfolios for various financial instruments.

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 (32)

Risk-neutral measure

In mathematical finance, a risk-neutral measure (also called an equilibrium measure, or equivalent martingale measure) is a probability measure such that each share price is exactly equal to the discounted expectation of the share price under this measure. This is heavily used in the pricing of financial derivatives due to the fundamental theorem of asset pricing, which implies that in a complete market, a derivative's price is the discounted expected value of the future payoff under the unique risk-neutral measure.

Asset pricing

In financial economics, asset pricing refers to a formal treatment and development of two main pricing principles, outlined below, together with the resultant models. There have been many models developed for different situations, but correspondingly, these stem from either general equilibrium asset pricing or rational asset pricing, the latter corresponding to risk neutral pricing.

Rational pricing

Rational pricing is the assumption in financial economics that asset prices – and hence asset pricing models – will reflect the arbitrage-free price of the asset as any deviation from this price will be "arbitraged away". This assumption is useful in pricing fixed income securities, particularly bonds, and is fundamental to the pricing of derivative instruments. Arbitrage is the practice of taking advantage of a state of imbalance between two (or possibly more) markets. Where this mismatch can be exploited (i.

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.

Fundamental theorem of asset pricing

The fundamental theorems of asset pricing (also: of arbitrage, of finance), in both financial economics and mathematical finance, provide necessary and sufficient conditions for a market to be arbitrage-free, and for a market to be complete. An arbitrage opportunity is a way of making money with no initial investment without any possibility of loss. Though arbitrage opportunities do exist briefly in real life, it has been said that any sensible market model must avoid this type of profit.

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