000 04351cam a22003854i 4500
001 vtls000098727
003 VRT
005 20250102225219.0
008 130915t20112011nyua |b 001 0 eng
020 _a9780521192538
020 _a0521192536
039 9 _a202407111253
_balawaid
_c201402040237
_dVLOAD
_y201309150923
_zmalmash
050 0 0 _aHG4515.3
_b.R67 2011
100 1 _aRoss, Sheldon M.
_q(Sheldon Mark),
_d1943-
_954380
245 1 3 _aAn elementary introduction to mathematical finance /
_cSheldon M. Ross.
250 _aThird Edition.
260 _aNew York :
_bCambridge University Press,
_c2011, ©2011.
300 _axv, 305 pages :
_billustrations ;
_c24 cm.
336 _atext
_2rdacontent
337 _aunmediated
_2rdamedia
338 _avolume
_2rdacarrier
504 _aIncludes bibliographical references and index.
505 8 _aMachine generated contents note: 1. Probability; 2. Normal random variables; 3. Geometric Brownian motion; 4. Interest rates and present value analysis; 5. Pricing contracts via arbitrage; 6. The Arbitrage Theorem; 7. The Black-Scholes formula; 8. Additional results on options; 9. Valuing by expected utility; 10. Stochastic order relations; 11. Optimization models; 12. Stochastic dynamic programming; 13. Exotic options; 14. Beyond geometric motion models; 15. Autoregressive models and mean reversion.
520 _a"This textbook on the basics of option pricing is accessible to readers with limited mathematical training. It is for both professional traders and undergraduates studying the basics of finance. Assuming no prior knowledge of probability, Sheldon M. Ross offers clear, simple explanations of arbitrage, the Black-Scholes option pricing formula, and other topics such as utility functions, optimal portfolio selections, and the capital assets pricing model. Among the many new features of this third edition are new chapters on Brownian motion and geometric Brownian motion, stochastic order relations, and stochastic dynamic programming, along with expanded sets of exercises and references for all the chapters"--
_cProvided by publisher.
520 _a"This mathematically elementary introduction to the theory of options pricing presents the Black-Scholes theory of options as well as such general topics in finance as the time value of money, rate of return on an investment cash flow sequence, utility functions and expected utility maximization, mean variance analysis, value at risk, optimal portfolio selection, optimization models, and the capital assets pricing model. The author assumes no prior knowledge of probability and presents all the necessary preliminary material simply and clearly in chapters on probability, normal random variables, and the geometric Brownian motion model that underlies the Black-Scholes theory. He carefully explains the concept of arbitrage with many examples; he then presents the arbitrage theorem and uses it, along with a multiperiod binomial approximation of geometric Brownian motion, to obtain a simple derivation of the Black-Scholes call option formula. Simplified derivations are given for the delta hedging strategy, the partial derivatives of the Black-Scholes formula, and the nonarbitrage pricing of options both for securities that pay dividends and for those whose prices are subject to randomly occurring jumps. A new approach for estimating the volatility parameter of the geometric Brownian motion is also discussed. Later chapters treat risk-neutral (nonarbitrage) pricing of exotic options - both by Monte Carlo simulation and by multiperiod binomial approximation models for European and American style options"--
_cProvided by publisher.
650 0 _aInvestments
_xMathematics.
_954381
650 0 _aStochastic analysis.
_919843
650 0 _aOptions (Finance)
_xMathematical models.
_954382
650 0 _aSecurities
_xPrices
_xMathematical models.
_954383
856 4 2 _3Cover image
_uhttp://assets.cambridge.org/97805211/92538/cover/9780521192538.jpg
856 4 2 _3Contributor biographical information
_uhttp://catdir.loc.gov/catdir/enhancements/fy1102/2010049863-b.html
856 4 2 _3Publisher description
_uhttp://catdir.loc.gov/catdir/enhancements/fy1102/2010049863-d.html
856 4 1 _3Table of contents only
_uhttp://catdir.loc.gov/catdir/enhancements/fy1102/2010049863-t.html
942 _2lcc
_n0
_cBK
999 _c26283
_d26283