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Yann Renoux
yann.renoux@nyu. edu
26 Vandam St - Apt 5RW
New York, NY 10013
Tel: (347) 217-8488
~ My projects and articles ~

puce02.gif Along with 3 classmates (Simon, Aloke and Joseph), we have taken the opportunity of our class in Computing in Finance (Lee Maclin, Kishor Laud) to design a Quant Lib-like engine to price a wide variety of financial products. As our team captain Aloke's a great system expert, we've managed to use CVS to efficiently work as a group and go as deep as possible in each section, from convertible bonds to rainbow options, from interest rate to variance swaps.

Our project is GPL licensed with sourceforge can be downloaded at terreneuve devel project if you are interested in its evolution. The easiest way though is to go to our website http://terreneuve.sourceforge.net/.


puce02.gif Simon and I took the opportunity to be at Courant among all these PhD students that organised a benevolant seminar on maths and its applications to sneak in and teach a two-hour class as an Introduction to Financial Mathematics. Starting from a trading game, we've been able to explain the notions of arbitrage, information bias, transaction cost and risk. Here is the set up we used Trading Game. We had the honor of having a special guest in the audience in the person of Aaron Brown.

During the second hour, we introduced binomial tree with the idea of risk neutral pricing so as to invoke the fact that the market is supposed to reflect any information in the price, and that real world estimated probabilities cannot be used in practise to price a security. See our second handout.

And so as not to forget our fellow teachers and some new friends, please visit the cSplash website: http://www.cims.nyu.edu/~csplash/csplashday.php

~ Articles ~

puce02.gif An overview of CPPIs.
     Courtesy of Giacomo Galli (Rabobank)
     It's not the first and surely not the last time you see CPPI mentionned here. I am really thankful to Giacomo that allowed me to use his summary notes. As he said, it is incomplete, but can be helpful for novices and will be updated on an ongoing basis.
See also the article on Wikipedia to which we contributed: http://en.wikipedia.org/wiki/Constant_Proportion_Portfolio_Insurance

puce02.gif Systemic Risk and Hedge funds (Chan, Getmansky, Haas, Lo, 2005).
     NY Times reports "Is a Hedge Fund Shakeout Coming Soon?":
     Research by Andrew Lo, finance professor at MIT, shows risk indicators associated with hedge fund losses in '98 (LTCM) are at 20yr highs.
     The report says that low volatility returns, such as we have now, have in the past resulted from funds moving into less liquid assets - these are harder to mark to market, allowing for smoother returns. Any event which removes credit from the market (such as the Russian default) can then trigger forced redemptions of these illiquid assets, leading to heavy losses. The full NYT article can be found here.

puce02.gif An exact bond option formula (Jamshidian, 1989).
     With the kind authorization of the author, here is a famous article that many students are looking for, for it is known as the first one detailling the pricing of bond options under a Vasicek framework. Please do download this for your personal use, but do not distribute unless discussed with Pr. Jamshidian.

puce02.gif Pricing of equity linked life insurance policies with an asset value guarantee (Michael Brennan, Eduardo Schwartz, 1976)
     A very interesting paper on portfolio insurance. Some may see it as the founding paper mentionning CPPIs, as Black published only in 1986, but I have been told Black used CPPI as an example in his lecture notes #6 a decade before... Anyone has it, I'd be glad to read it !


~ NYU Masters in Maths in Finance Professors' websites ~

puce02.gif Many of the following websites include downloadable articles, I just made a selection of some I liked and found useful but I encourage you to browse through these bright minds websites.

Note also that Leif Andersen teaches Credit Models and soon Robert Almgren with do Statistical Arbitrage and Financial Econometrics.

puce02.gif Steve Allen (Risk Management):
      http://www.math.nyu.edu/fellows_fin_math/allen/

puce02.gif Marco Avellaneda (Stochastic Calculus, Math Finance Seminars):
      http://math.nyu.edu/faculty/avellane/index.html

     - Pricing and hedging derivative securities in markets with uncertain volatilities
      (co authors Arnon Levy, Antonio Paras - 1995)
     - Hedge Funds: How big is big? (co author Paul Besson - 2005)
     - Trading volatility (slides - 2004)
     - A look ahead at options pricing and volatility (2004)
     - Weighted Monte Carlo Methods for Multi-Asset Equity Derivatives: Theory and
      Practice (2002)
     - Conquering the Greeks in Monte Carlo (co author Roberta Gamba, 2001)


puce02.gif Peter Carr (Continuous Time Finance, with Bruno Dupire):
      http://www.math.nyu.edu/research/carrp

     - Frequently Asked Questions in Option Pricing Theory (2002)
     - Static Hedging of Exotic Options (1998)
     - Stochastic Skew for Currency Options (2005)
     - The Stop-Loss Start-Gain Strategy and Option Valuation (co author Robert
      Jarrow, 1990)


puce02.gif Jim Gatheral (Case Studies, with Nassim Taleb):
      http://www.math.nyu.edu/fellows_fin_math/gatheral/

     - Modeling the implied volatility surface (2003)
     - Rational shapes of the volatility surface (2000)
     - Volatility and hedging errors (1999)


puce02.gif Robert Kohn (Derivatives Securities, PDE for Finance):
      http://math.nyu.edu/faculty/kohn/index.html

     - On the equivalence of the static and dynamic asset allocation
      problems (co author O.M. Papazoglu)


puce02.gif Lee Maclin (Computing in Finance, Financial Econometrics and Stat Arb):
      http://www.pragmafs.com/about.html

     - [Supervisor] Optimal Execution: A Directional Trading Perspective (2003)

puce02.gif Nassim Taleb (Case Studies, with Jim Gatheral):
      http://www.fooledbyrandomness.com/

     - "Blowup" versus "Bleed": What Does Empirical Psychology Say About the
      Preference for Negative Skewness? (2004)

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