An exotic derivative, in finance, is a derivative which is more complex than commonly traded "vanilla" products. This complexity usually relates to determination of payoff; see option style.
The category may also include derivatives with a non-standard subject matter - i.e., underlying - developed for a particular client or a particular market.
The term "exotic derivative" has no precisely defined meaning, being a colloquialism that reflects how common a particular derivative is in the marketplace. As such, certain derivative instruments have been considered exotic when conceived of and sold, but lost this status when they were traded with significant enough volume. Examples of this phenomenon include interest rate- and currency-swaps.
As regards valuation, given their complexity, exotic derivatives are usually modelled using specialized simulation- or lattice-based techniques. Often, it is possible, to "manufacture" the exotic derivative out of standard derivatives. For example, a knockout call can be "manufactured" out of standard options; see . This latter approach may then be preferred, and also allows for a benchmark against which the more specialized models may be verified.
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The objective of this course is to provide a detailed coverage of the standard models for the valuation and hedging of derivatives products such as European options, American options, forward contract
The aim of the course is to apply the theory of martingales in the context of mathematical finance. The course provides a detailed study of the mathematical ideas that are used in modern financial mat
A structured product, also known as a market-linked investment, is a pre-packaged structured finance investment strategy based on a single security, a basket of securities, options, indices, commodities, debt issuance or foreign currencies, and to a lesser extent, derivatives. Structured products are not homogeneous — there are numerous varieties of derivatives and underlying assets — but they can be classified under the aside categories. Typically, a desk will employ a specialized "structurer" to design and manage its structured-product offering.
In finance, a currency swap (more typically termed a cross-currency swap, XCS) is an interest rate derivative (IRD). In particular it is a linear IRD, and one of the most liquid benchmark products spanning multiple currencies simultaneously. It has pricing associations with interest rate swaps (IRSs), foreign exchange (FX) rates, and FX swaps (FXSs). A cross-currency swap's (XCS's) effective description is a derivative contract, agreed between two counterparties, which specifies the nature of an exchange of payments benchmarked against two interest rate indexes denominated in two different currencies.
Quantitative analysis is the use of mathematical and statistical methods in finance and investment management. Those working in the field are quantitative analysts (quants). Quants tend to specialize in specific areas which may include derivative structuring or pricing, risk management, investment management and other related finance occupations. The occupation is similar to those in industrial mathematics in other industries.
In this thesis we present three closed form approximation methods for portfolio valuation and risk management.The first chapter is titled ``Kernel methods for portfolio valuation and risk management'', and is a joint work with Damir Filipovi'c (SFI and EP ...
EPFL2023
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We derive analytic series representations for European option prices in polynomial stochastic volatility models. This includes the Jacobi, Heston, Stein-Stein, and Hull-White models, for which we provide numerical case studies. We find that our polynomial ...
We consider a divergence-form elliptic difference operator on the lattice Zd, with a coefficient matrix that is an i.i.d. perturbation of the identity matrix. Recently, Bourgain introduced novel techniques from harmonic analysis to prove the convergence of ...