000 03024nam a22005055i 4500
001 978-3-642-10395-7
003 DE-He213
005 20140220084528.0
007 cr nn 008mamaa
008 100301s2010 gw | s |||| 0|eng d
020 _a9783642103957
_9978-3-642-10395-7
024 7 _a10.1007/978-3-642-10395-7
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aPBWL
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.2
_223
100 1 _aProfeta, Cristophe.
_eauthor.
245 1 0 _aOption Prices as Probabilities
_h[electronic resource] :
_bA New Look at Generalized Black-Scholes Formulae /
_cby Cristophe Profeta, Bernard Roynette, Marc Yor.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aXXI, 270p. 3 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Finance
505 0 _aReading the Black-Scholes Formula in Terms of First and Last Passage Times -- Generalized Black-Scholes Formulae for Martingales, in Terms of Last Passage Times -- Representation of some particular Azéma supermartingales -- An Interesting Family of Black-Scholes Perpetuities -- Study of Last Passage Times up to a Finite Horizon -- Put Option as Joint Distribution Function in Strike and Maturity -- Existence and Properties of Pseudo-Inverses for Bessel and Related Processes -- Existence of Pseudo-Inverses for Diffusions.
520 _aThe Black-Scholes formula plays a central role in Mathematical Finance; it gives the right price at which buyer and seller can agree with, in the geometric Brownian framework, when strike K and maturity T are given. This yields an explicit well-known formula, obtained by Black and Scholes in 1973. The present volume gives another representation of this formula in terms of Brownian last passages times, which, to our knowledge, has never been made in this sense. The volume is devoted to various extensions and discussions of features and quantities stemming from the last passages times representation in the Brownian case such as: past-future martingales, last passage times up to a finite horizon, pseudo-inverses of processes... They are developed in eight chapters, with complements, appendices and exercises.
650 0 _aMathematics.
650 0 _aFinance.
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aQuantitative Finance.
700 1 _aRoynette, Bernard.
_eauthor.
700 1 _aYor, Marc.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642103940
830 0 _aSpringer Finance
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-10395-7
912 _aZDB-2-SMA
999 _c111739
_d111739