LEADER 04423nam 22006255 450 001 9910349339203321 005 20200705145151.0 010 $a3-030-25443-7 024 7 $a10.1007/978-3-030-25443-8 035 $a(CKB)4100000009160313 035 $a(DE-He213)978-3-030-25443-8 035 $a(MiAaPQ)EBC5922125 035 $a(PPN)26914613X 035 $a(EXLCZ)994100000009160313 100 $a20190831d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematics of Finance $eAn Intuitive Introduction /$fby Donald G. Saari 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XVII, 144 p. 16 illus.) 225 1 $aUndergraduate Texts in Mathematics,$x0172-6056 311 $a3-030-25442-9 327 $a1. Preliminaries via Gambles -- 2. Options -- 3. Modeling -- 4. Some Probability -- 5. The Black?Scholes Equation -- 6. Solutions of Black?Scholes -- 7. Partial information: the Greeks -- 8. Sketching and the American Options -- 9. Embellishments. 330 $aThis textbook invites the reader to develop a holistic grounding in mathematical finance, where concepts and intuition play as important a role as powerful mathematical tools. Financial interactions are characterized by a vast amount of data and uncertainty; navigating the inherent dangers and hidden opportunities requires a keen understanding of what techniques to apply and when. By exploring the conceptual foundations of options pricing, the author equips readers to choose their tools with a critical eye and adapt to emerging challenges. Introducing the basics of gambles through realistic scenarios, the text goes on to build the core financial techniques of Puts, Calls, hedging, and arbitrage. Chapters on modeling and probability lead into the centerpiece: the Black?Scholes equation. Omitting the mechanics of solving Black?Scholes itself, the presentation instead focuses on an in-depth analysis of its derivation and solutions. Advanced topics that follow include the Greeks, American options, and embellishments. Throughout, the author presents topics in an engaging conversational style. ?Intuition breaks? frequently prompt students to set aside mathematical details and think critically about the relevance of tools in context. Mathematics of Finance is ideal for undergraduates from a variety of backgrounds, including mathematics, economics, statistics, data science, and computer science. Students should have experience with the standard calculus sequence, as well as a familiarity with differential equations and probability. No financial expertise is assumed of student or instructor; in fact, the text?s deep connection to mathematical ideas makes it suitable for a math capstone course. A complete set of the author?s lecture videos is available on YouTube, providing a comprehensive supplementary resource for a course or independent study. 410 0$aUndergraduate Texts in Mathematics,$x0172-6056 606 $aEconomics, Mathematical 606 $aGame theory 606 $aFinance 606 $aMacroeconomics 606 $aQuantitative Finance$3https://scigraph.springernature.com/ontologies/product-market-codes/M13062 606 $aGame Theory, Economics, Social and Behav. Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13011 606 $aFinance, general$3https://scigraph.springernature.com/ontologies/product-market-codes/600000 606 $aMacroeconomics/Monetary Economics//Financial Economics$3https://scigraph.springernature.com/ontologies/product-market-codes/W32000 615 0$aEconomics, Mathematical. 615 0$aGame theory. 615 0$aFinance. 615 0$aMacroeconomics. 615 14$aQuantitative Finance. 615 24$aGame Theory, Economics, Social and Behav. Sciences. 615 24$aFinance, general. 615 24$aMacroeconomics/Monetary Economics//Financial Economics. 676 $a339 676 $a650.0151 700 $aSaari$b Donald G$4aut$4http://id.loc.gov/vocabulary/relators/aut$057216 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349339203321 996 $aMathematics of Finance$91732569 997 $aUNINA