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Advanced Financial Models
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Michael Tehranchi
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Michaelmas 2012
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11-12 Mon, Wed, Fri in MR5
The official course
description
Lecture notes
Here are
notes for the course.
Example sheets
Examples classes
There will be two
classes
Wed 30 Jan, 5.30-6.30pm, in MR13
Thu 31 Jan, 5.30-6.30pm, in MR4
to discuss the fourth example sheet and/or any other issues.
Supplemental reading
Here is a (very incomplete) list of textbooks on financial mathematics. Nearly every topic in
Advanced Financial Models is also discussed in at least one of these books.
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M. Baxter and A. Rennie. Financial Calculus: An Introduction to Derivative Pricing. Cambridge University Press. 1996
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T. Bjork. Arbitrage Theory in Continuous Time. Oxford Unversity Press. 2004.
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M. Capinski and T. Zastawniak. Mathematics for Finance: An Introduction to Financial Engineering. Springer. 2003
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R.J. Elliott and P.E. Kopp. Mathematics of Financial Markets. Springer. 2001
- D. Kennedy. Stochastic Financial Models. CRC Press. 2010
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D. Lamberton and B. Lapeyre. Introduction to Stochastic Calculus Applied to Finance. CRC Press. 1996
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M. Musiela and M. Rutkowski. Martingale Methods in Financial Modelling. Springer. 2006
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S.E. Shreve. Stochastic Calculus for Finance: Vol. 1 and 2. Springer. 2004
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R.J. Williams. Introduction to the Mathematics of Finance. American Mathematical Society. 2006
Several of the books above (and the AFM lecture notes)
contain introductions to
stochastic calculus applied to finance. Those interested in learning more
stochastic calculus and its applications to science,
engineering, and other branches of mathematics are encouraged to attend
the Stochastic Calculus Part III course in Lent term. Here are some classic
books:
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I. Karatzas and S. Shreve. Brownian Motion and Stochastic Calculus. Springer. 1998
- D. Revuz and M. Yor. Continuous Martingales and Brownian Motion.
Springer. 2001.
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L.C.G. Rogers and D. Williams. Diffusions, Markov Processes, and Martingales:
Vol. 1 and 2. Cambridge University Press. 2002.
Finally, here are some books on probability theory at the level encountered in this
course.
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G. Grimmett and D. Stirzaker. Probability and Random Processes. Oxford University Press. 2001
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D. Williams. Probability with Martingales. Cambridge University Press. 1991
Interesting links
The probability seminar.
The finance workshop.
Advice for PhD applicants in financial mathematics in Cambridge.
Employment contacts
For those interested in employment in a bank or hedge fund,
here is a
list
of people to contact.
Last updated 29 Jan 2013.