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丛 书 名:Other Titles in Applied Mathematics
I S B N:(纸本) 9781611977639
出 版 年:2023年
主 题 词:financial derivatives arbitrage Black-Scholes binomial model options bonds implied volatility optimal exercise dividends probability trinomial model interest rate swap cap floor forwards futures risk-neutral price multi-asset stochastic calculus Python codes
摘 要: Python Codes (link) Among the many branches of applied mathematics, options pricing theory occupies a unique position: it utilizes a wide range of advanced mathematical concepts, making it appealing to mathematicians, and it is regularly applied at financial institutions, making it indispensable to practitioners. The emergence of artificial intelligence in the financial industry has led to further interest in mathematical finance and has increased the demand for literature on this subject that is accessible to a large audience. This book presents a self-contained introduction to options pricing theory and includes a complete discussion of the required concepts in finance and probability theory;an introduction to basic models, emphasizing both critical thinking and practical applicationsover 200 exercises, several Python codes for the analysis and application of the options pricing models, and numerical projects intended to help close the gap between theory and practice.