Lecture

Applications: Markov Models and Pricing

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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 application of Markov models in finance, focusing on pricing derivatives and risk-neutralization. It discusses the generator of the process, risk-neutralization under the Equivalent Martingale Measure (EMM), Markov pricing, and hedging strategies. The lecture also delves into bond pricing, the forward measure, option pricing, and the use of Vasicek and Black-Scholes-Merton (BSM) models. Additionally, it explores topics such as foreign exchange, FX forwards, carry trades, FX options, quanto options, and hedging strategies 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

Business

Finance: Financial risk management

Related concepts (31)

Option style

In finance, the style or family of an option is the class into which the option falls, usually defined by the dates on which the option may be exercised. The vast majority of options are either European or American (style) options. These options—as well as others where the payoff is calculated similarly—are referred to as "vanilla options". Options where the payoff is calculated differently are categorized as "exotic options". Exotic options can pose challenging problems in valuation and hedging.

Exotic option

In finance, an exotic option is an option which has features making it more complex than commonly traded vanilla options. Like the more general exotic derivatives they may have several triggers relating to determination of payoff. An exotic option may also include a non-standard underlying instrument, developed for a particular client or for a particular market. Exotic options are more complex than options that trade on an exchange, and are generally traded over the counter.

Option (finance)

In finance, an option is a contract which conveys to its owner, the holder, the right, but not the obligation, to buy or sell a specific quantity of an underlying asset or instrument at a specified strike price on or before a specified date, depending on the style of the option. Options are typically acquired by purchase, as a form of compensation, or as part of a complex financial transaction.

Bond option

In finance, a bond option is an option to buy or sell a bond at a certain price on or before the option expiry date. These instruments are typically traded OTC. A European bond option is an option to buy or sell a bond at a certain date in future for a predetermined price. An American bond option is an option to buy or sell a bond on or before a certain date in future for a predetermined price. Generally, one buys a call option on the bond if one believes that interest rates will fall, causing an increase in bond prices.

Fuel price risk management

Fuel price risk management, a specialization of both financial risk management and oil price analysis and similar to conventional risk management practice, is a continual cyclic process that includes risk assessment, risk decision making and the implementation of risk controls. It focuses primarily on when and how an organization can best hedge against exposure to fuel price volatility. It is generally referred to as "bunker hedging" in marine and shipping contexts and "fuel hedging" in aviation and trucking contexts.

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Forward Measures: Interest Rate Models

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Options in Corporate Finance

Introduces the principles of options in corporate finance, covering markets, terminology, valuation, and pricing models.

Risk-neutral Valuation: Traded Securities

Explores risk-neutral valuation for traded securities, derivatives, hedging, bond pricing, and forward contracts in financial markets.

Delta Hedging and the Greeks