[IEE EC3 News] IMA NHS&B 19 Sept 2007 "Mathematics of Football Spread Betting an d other Dodgy Gambles"

Stansfield, Edward Edward.Stansfield@thalesgroup.com
Mon Sep 3 13:53:18 BST 2007


This message is in MIME format. Since your mail reader does not understand
this format, some or all of this message may not be legible.

------_=_NextPart_000_01C7EE29.663EF505
Content-Type: text/plain; charset="iso-8859-1"
Content-Transfer-Encoding: 7bit

Dear Colleague,

You are being sent this message because either you gave your email address
at one of our previous lectures or you signed up on the web site associated
with this email list
(http://www.ourshack.com/mailman/listinfo/iee-ec3-news).

I have appended the details of the next lecture by your local group of the
IMA and hope to see you there.

Details of other lectures from the IET local area Specialised Section may be
found at - 
http://www.iee.org/OnComms/Branches/UK/England/SEastE/EC3/

Best wishes

Edward Stansfield

=============================================

THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS
North Hants, Surrey and Berkshire Branch

The Mathematics of Football Spread Betting and other Dodgy Gambles

Professor Alistair Fitt, FIMA CMath CSci
(Head of School of Mathematics, University of Southampton)

Wednesday 19th September 2007  8.00pm

Room 125, Humanities and Social Science Building,
Reading University, Whiteknights Campus 

Light Refreshments will be provided

Abstract

The valuation of football spread bets will be considered in this talk.
Spread betting has become a huge growth industry in recent years, and this
leads one to ask how the bookmakers set the spreads and whether there are
any possibilities for "profitable investment".  It will also be shown how a
variant of classical Markowitz portfolio theory may be applied to football
spread betting to allow one to define an "optimal betting portfolio".  If
there is time, some other types of betting may also be considered.

All N. Hants, Surrey and Berkshire Branch talks are open and free of charge
to anyone who is interested.

Details

To find the Humanities and Social Science Building (Building 1 on map),
visit http://www.rdg.ac.uk/maps/whiteknights-struct.htm, which has links to
download a colour or B&W printable map (pdf) or view an on-line version.

If you expect to attend please inform the Branch Chair, Chris Jeggo
(chris.jeggo@baesystems.com) or tel. 01483 870218 (home), to assist us in
making catering arrangements, but if you don't get round to doing this, just
turn up anyway.  For details of other N. Hants, Surrey and Berkshire Branch
activities visit http://www.north-hants-ima.ukscientists.com or contact the
Branch Secretary:  Dan Tilley, DSTL, Farnborough, Hants, GU14 0LX;  email:
datilley@dstl.gov.uk  tel: (01252) 45 5854. 

==============================

 <<Alistair_Fitt_19_9_07.doc>> 

*******************************************************************************
Please consider the environment before printing this email.
*******************************************************************************
This email and any files transmitted with it are intended solely for the use of
the individual or entity to whom they are addressed and may not be divulged to
any third party without the express permission of the originator.  Any views
expressed in this message are those of the individual sender, except where the
sender specifically states them to be the views of Thales Research & Technology
(UK) Limited.
*******************************************************************************


------_=_NextPart_000_01C7EE29.663EF505
Content-Type: application/msword; name="Alistair_Fitt_19_9_07.doc"
Content-Transfer-Encoding: base64
Content-Disposition: attachment; filename="Alistair_Fitt_19_9_07.doc"
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------_=_NextPart_000_01C7EE29.663EF505--




More information about the IEE-EC3-news mailing list