Financial mathematics : theory and problems for multi-period models
著者
書誌事項
Financial mathematics : theory and problems for multi-period models
（Collana unitext, 59）
Springer, c2012
- [pbk.]
- タイトル別名
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Finanza Matematica : teoria e problemi per modelli multiperiodali
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注記
"Translated and extended version of the original Italian edition: A. Pascucci, W.J. Runggaldier: Finanza Matematica. Teoria e problemi per modelli multiperiodali, [c] Springer-Verlag Italia 2009" -- T.p. verso
Includes bibliographical references
Subseries' title: La matematica per il 3+2
内容説明・目次
内容説明
With the Bologna Accords a bachelor-master-doctor curriculum has been introduced in various countries with the intention that students may enter the job market already at the bachelor level. Since financial Institutions provide non negligible job opportunities also for mathematicians, and scientists in general, it appeared to be appropriate to have a financial mathematics course already at the bachelor level in mathematics. Most mathematical techniques in use in financial mathematics are related to continuous time models and require thus notions from stochastic analysis that bachelor students do in general not possess. Basic notions and methodologies in use in financial mathematics can however be transmitted to students also without the technicalities from stochastic analysis by using discrete time (multi-period) models for which general notions from Probability suffice and these are generally familiar to students not only from science courses, but also from economics with quantitative curricula. There do not exists many textbooks for multi-period models and the present volume is intended to fill in this gap. It deals with the basic topics in financial mathematics and, for each topic, there is a theoretical section and a problem section. The latter includes a great variety of possible problems with complete solution.
目次
Pricing and hedging.- Portfolio optimization.- American options.- Interest rates.
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