langue langue

University projects

The following projects have been realized or are issued from projects made during my university curriculum :

  • Pricer (C#)
  • SAS
  • Auction Theory
  • Hexadecimal conversion

Pricer

The following project is the PHP version of a C# project I made during my last year at university. During this project two classes have been made in object-oriented programming. The Option class is designed to create a put or call object. The second one allow to price the option based on the Black & Scholes formula.
The values of the cumulative distribution function of the normal distribution with mean 0 and variance 1 are computed under excel with function NORM and realised for 12000 values (from -6 to 6 with a 0.0001 pace). The values are registered in an SQL table and loaded when needed for the calculus.








SAS

The project aims to realize a SASmacro wich will evaluate the modelisation of a financial serie into an autoregressive model AR(1). In order to do that, the macro will calcualte the descriptive statistics and decide if the serie is serially correlated. It then estimate the model as an AR(1) and test the statistical significance of the estimated model.

macro
Blueprint of the macrofigcaption>

SAS project (PDF version)
Macro program (PDF version)

Auction Theory

Study of Dan Levin and Emre Ozdenoren (2004), « Auctions with uncertain numbers of bidders », Journal of Economic Theory.

We will study the ambiguity resulting from the incertitude about the number of bidders in the first price auction (FPA) and the second price auction (SPA). We will distinguish the point of view of bidders and sellers to study their respective preferences between a revealing policy and a concealing policy about the number of bidders.
In order to do that we will first make a short reminder of the study's framework as the important hypotesis we will need. We will then study the equilibrium conditions of the strategic function linking the value that the bidder is making about the good of the auction and the bid that he is going to realize. Once those resulsts will be proved, we will compare the differents findings obtained based on the bidding side (bidder or seller) and the fact of being in FPA or in SPA. We will then be able to answer the questions exposed in the introduction of the document "Project" :

  • How does uncertainty about the number of actual bidders in the auction affect bidding behavior and bidders’ ranking of the the first price auction (FPA) vs. the second price auction (SPA)?
  • Should a seller who knows the actual number of active bidders, reveal or conceal such information to the bidders?
  • How does uncertainty change the (expected) revenue ranking of the FPA and the SPA away from the Vickrey equivalence result?
(PDF) project

Hexadecimal conversion



Conversion result of a number in base 10 to bases 2 to 16 :

Conversion Table
base 2
base 10
base 3
base 11
base 4
base 12
base 5
base 13
base 6
base 14
base 7
base 15
base 8
base 16
base 9