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Content archived on 2024-06-18

Hedging under Friction and Uncertainty: Theory and Numerics

Objective

In this project our goal is to deal with a class of hedging and pricing problems which
arise in modern Mathematical Finance.
These problems are not only interesting from
the applications point of view
but also provide a good source for new mathematical questions which require
new tools in the area of probability theory.
We will focus on three main topics:

(i) Hedging with Friction.

(ii) Robust Hedging.

(iii) Numerical Schemes.


All the above topics are related to the theory of
pricing and hedging of derivative securities.
In the last 35 years there was great progress in this direction.
By now there is quite a good understanding of pricing and hedging
in frictionless financial markets with a known probabilistic structure.
This understanding was achieved by developing the machinery of stochastic calculus,
stochastic control, martingale theory,
hypothesis testing, etc.

In real market conditions,
it is very difficult to provide
a correct probabilistic model for the behavior
of stock prices.
Furthermore, trading of assets is subject to transaction costs,
i.e. there is a gap between an ask price and the bid price.
These two facts
raise the natural question
of understanding hedging in markets with friction and model uncertainty.

Usually, when dealing with complex models of financial markets, explicit
formulas for option prices and the corresponding super--replication strategies
are not available. This is the motivation to study numerical schemes
for several stochastic control problems which are related to hedging under volatility uncertainty.
In the current project we are interested not only in providing the algorithms of numerical schemes,
but also in implementing them.

In summary,
the proposed questions are not only crucial for the understanding
of pricing and
hedging in financial markets, but also a great source of new mathematical problems.
These problems require new tools and also attract the attention of world class mathematicians.

Fields of science (EuroSciVoc)

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Topic(s)

Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.

Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

FP7-PEOPLE-2013-CIG
See other projects for this call

Funding Scheme

Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.

MC-CIG - Support for training and career development of researcher (CIG)

Coordinator

THE HEBREW UNIVERSITY OF JERUSALEM
EU contribution
€ 100 000,00
Address
EDMOND J SAFRA CAMPUS GIVAT RAM
91904 JERUSALEM
Israel

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Activity type
Higher or Secondary Education Establishments
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

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