000 02584nam a22004815i 4500
001 978-88-470-1781-8
003 DE-He213
005 20140220083821.0
007 cr nn 008mamaa
008 110415s2011 it | s |||| 0|eng d
020 _a9788847017818
_9978-88-470-1781-8
024 7 _a10.1007/978-88-470-1781-8
_2doi
050 4 _aHB135-147
072 7 _aKF
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aBUS027000
_2bisacsh
082 0 4 _a519
_223
100 1 _aPascucci, Andrea.
_eauthor.
245 1 0 _aPDE and Martingale Methods in Option Pricing
_h[electronic resource] /
_cby Andrea Pascucci.
264 1 _aMilano :
_bSpringer Milan,
_c2011.
300 _aXVIII, 720 p. 78 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aBocconi & Springer Series,
_x2039-1471
520 _aThis book offers an introduction to the mathematical, probabilistic and numerical methods used in the modern theory of option pricing. The text is designed for readers with a basic mathematical background. The first part contains a presentation of the arbitrage theory in discrete time. In the second part, the theories of stochastic calculus and parabolic PDEs are developed in detail and the classical arbitrage theory is analyzed in a Markovian setting by means of of PDEs techniques. After the martingale representation theorems and the Girsanov theory have been presented, arbitrage pricing is revisited in the martingale theory optics. General tools from PDE and martingale theories are also used in the analysis of volatility modeling. The book also contains an Introduction to Lévy processes and Malliavin calculus. The last part is devoted to the description of the numerical methods used in option pricing: Monte Carlo, binomial trees, finite differences and Fourier transform.
650 0 _aMathematics.
650 0 _aFinance.
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aQuantitative Finance.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aApplications of Mathematics.
650 2 4 _aFinance/Investment/Banking.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9788847017801
830 0 _aBocconi & Springer Series,
_x2039-1471
856 4 0 _uhttp://dx.doi.org/10.1007/978-88-470-1781-8
912 _aZDB-2-SMA
999 _c108847
_d108847