MPM_FIMA Financial Mathematics

Ekonomicko-správní fakulta
podzim 2012
Rozsah
1/2/0. 6 kr. Ukončení: zk.
Vyučující
RNDr. Václav Studený, Ph.D. (přednášející)
Garance
RNDr. Václav Studený, Ph.D.
Katedra aplikované matematiky a informatiky – Ekonomicko-správní fakulta
Kontaktní osoba: Lenka Hráčková
Dodavatelské pracoviště: Katedra aplikované matematiky a informatiky – Ekonomicko-správní fakulta
Rozvrh
St 10:15–11:00 S301
  • Rozvrh seminárních/paralelních skupin:
MPM_FIMA/01: St 11:05–12:45 S301, V. Studený
Omezení zápisu do předmětu
Předmět je nabízen i studentům mimo mateřské obory.
Mateřské obory/plány
Cíle předmětu
Students will be able to analyze products of financial markets. Students will be able to start tio studÿ stochastics models of financial markets.
Osnova
  • Essential mathematics exponential and logarithmic functions (grammar school knowledge). Inflation index of prices real and nominal value rate of inflation, average inflation real value of free interest saving Interest of constant amounts plain picevise constant, linear compound picevise constant, picevise linear, exponential of not constant amounts savings pensions amortization Notices about real cases (saving, leasing, bill, securities, share) The rate of growth, relative increments. Commodity markets The index of prices, rate of inflation. Stochastic modeling and fractal modeling Interest rate in financial mathematics Saving with the state donation, long term products Mortgages, supply of the market Using the program maple Computing examples with the program maple The cash flow and the internal interest rate The duration and the convexity Mean value in financial mathematics, general concept General concept of rate of growth, infinitesimal version, inverse rule Stochastics on financial markets Introduction to models Stochastic characteristic of time series Fractal modeling
Literatura
    doporučená literatura
  • SCHROEDER, Manfred R. Fractals, chaos, power laws : minutes from an infinite paradise. Mineola: Dover Publications, 2009, xviii, 429. ISBN 9780486472041. info
  • MANDELBROT, Benoît B. a Richard L. HUDSON. The (mis)behavior of markets : a fractal view of financial turbulence. New York: Basic books, 2004, xxx, 328. ISBN 0465043577. info
  • DUPAČOVÁ, Jitka a Jann HURT. Stochastic Modeling in economics and Finance. Kluwert Academic Publishers, 2002, 386 s. ISBN 1402008406. info
  • MANDELBROT, Benoît B. Gaussian self-affinity and fractals : globality, the earth, 1/f noise, and R/S. Edited by Frederick J. Damerau. New York: Springer, 2001, ix, 654. ISBN 0387989935. info
  • MANDELBROT, Benoît B. Multifractals and 1/f noise : wild self-affinity in physics (1963-1976). New York: Springer, 1998, viii, 442. ISBN 0387985395. info
  • MANDELBROT, Benoît B. Fractals and scaling in finance : discontinuity, concentration, risk. New York: Springer, 1997, x, 551. ISBN 0387983635. info
  • MANDELBROT, Benoit B. The fractal geometry of nature. Update and augmented. New York: W.H. Freeman, 1983, 468 s. ISBN 0-7167-1186-9. info
Výukové metody
lectures, class discussion, group projects, homeworks, reading, drills
Metody hodnocení
tests, project, oral exam Copying of the entry of the tests for study purposes is allowed, but trying to get any information from other human beings during the exam, or other disruptions of objectivity of exam (credit test) will be considered non-compliance with the conditions for course completion as well as a severe violation of the study rules. Consequently, the teacher will finish the exam (credit test) by awarding grade F, and the Dean will initiate disciplinary proceedings that may result in study termination."
Vyučovací jazyk
Angličtina
Informace učitele
Doporučená literatura: E. Kosiol: Finanzmathematik, Gabler Verlag, Wiesbaden, 1984 H. Büschgen, K. Richolt: Handbuch des internationalen Bankgeschäfts. Gabler Verlag, Wiesbaden 1989 D. Wahl: Finanzmathematik, Schäffer-Poeschel Verlag, Stuttgart, 1998
Další komentáře
Studijní materiály
Předmět je vyučován každoročně.
Nezapisují si studenti, kteří absolvovali předmětPMFMAA.
Předmět je zařazen také v obdobích podzim 2009, podzim 2010, podzim 2011, podzim 2013, podzim 2014, podzim 2015.