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PA - C8 - MAP542 : Numerical processing of financial data

Descriptif

MAP542 Numerical processing of financial data
 
We will start with a short tutorial on Pandas with examples based on financial data.
 
The course will tackle the following topics:
 
· Sequential data in one dimension (main example: equity indices - SP500, Eurostoxx) : missing values, missing dates, interpolation. Estimation of volatilities, autocorrelations.
· Sequential data multi-dimensional : correlations, scarcity of data for high dimensional correlations estimation, inversion of covariance matrices.
· Order book data : volumes, information at bid and ask sides, slippage, market impact of a trade (data: order books on cryptocurrencies)
· Yield curves reconstruction/interpolation : from bonds, from futures (e.g. on cryptocurrency).
· Options data :
  • option prices (on large equity index such as SP500), reconstruction of forward and discount factor from put-call parity.
  • Black Scholes formula with some justification (without continuous time stochastic calculus), computation of implied volatilities (bisection method, Newton method).
  • Static no-arbitrage conditions on option prices and implied volatilities, fitting of a parametric implied volatility smile (SVI, SSVI).

Format des notes

Numérique sur 20

Littérale/grade réduit

Pour les étudiants du diplôme MScT-Data Science for Business

Le rattrapage est autorisé (Note de rattrapage conservée)
    L'UE est acquise si note finale transposée >= C
    • Crédits ECTS acquis : 4 ECTS

    La note obtenue rentre dans le calcul de votre GPA.

    Pour les étudiants du diplôme Titre d’Ingénieur diplômé de l’École polytechnique

    Le rattrapage est autorisé (Note de rattrapage conservée)
      L'UE est acquise si note finale transposée >= C
      • Crédits ECTS acquis : 5 ECTS
      Veuillez patienter