000 04475cam a22004454i 4500
001 16553157
003 OSt
005 20180802095527.0
008 101124t20112011nyua b 001 0 eng
010 _a 2010049863
020 _a9780521192538 (Hb)
020 _a0521192536
035 _a(OCoLC)ocn688644637
040 _aDLC
_cIISER Bhopal
_erda
042 _apcc
050 0 0 _aHG4515.3
_b.R67 2011
082 0 0 _a332.6 R733E3
_223
084 _aMAT003000
_2bisacsh
100 1 _aRoss, Sheldon M.
_923467
222 _aES-reference book collection
245 1 3 _aElementary introduction to mathematical finance
_cSheldon M. Ross.
250 _aThird Edition.
260 _aNew York :
_bCambridge University Press,
_c2012.
300 _axv, 305 pages :
_billustrations ;
_c24 cm.
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"--
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"--
650 0 _aInvestments
_xMathematics.
_923468
650 0 _aStochastic analysis.
_923469
650 0 _aOptions (Finance)
_xMathematical models.
_923470
650 0 _aSecurities
_xPrices
_xMathematical models.
_923471
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
906 _a7
_bcbc
_corignew
_d1
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_cBK
999 _c8594
_d8594