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所在平台: Udemy |
课程主页: https://www.udemy.com/course/mastering-fixed-income-mathematics-a-comprehensive-guide/
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Coursera《精通固定收益数学：综合指南》课程总结 本课程是一门深入探讨固定收益数学的综合性课程，旨在为学员提供固定收益证券分析所需的关键数学概念、债券类型和估值技术。 课程涵盖以下核心内容： * **固定收益数学基础**：介绍固定收益证券及其在金融分析中的数学应用。 * **数列在固定收益中的应用**：重点讲解几何级数和泰勒级数在债券估值和计算中的作用。 * **导数在固定收益中的应用**：解释微积分（特别是导数和积分）如何用于分析固定收益证券和确定债券价值。 * **关键函数**：阐述指数函数和对数函数在固定收益分析中的重要性。 * **零息债券**：深入讲解零息债券的类型、特征及其估值方法。 * **年金与永续年金**：解析年金和永续年金的含义及在固定收益中的应用，并通过实例进行练习。 * **期限债券与摊销债券**：区分并分析期限债券（Bullet Bonds）和摊销债券（Amortized Bonds）的还款结构。 * **平价券与浮动利率债券**：理解平价债券（Par Coupon Bonds）的定价以及浮动利率债券（Floating Rate Bonds）的特点。 * **利率与贴现率**：研究利率和贴现率在债券定价中的关系及其计算方法。 * **收益率与到期收益率 (YTM)**：教授收益率的概念，以及计算到期收益率和其他各种收益率的方法。 * **投资回报率**：学习评估固定收益投资表现和盈利能力的方法。 通过本课程的学习，学员将全面掌握固定收益数学的核心知识，能够自信地分析债券市场，准确计算收益率，并有效评估投资回报。
Course IntroductionThis course provides a detailed understanding of fixed income mathematics, covering essential mathematical concepts, bond types, and valuation techniques. With topics ranging from geometric and Taylor series to yield-to-maturity calculations, it bridges theoretical knowledge with practical applications in finance. Whether you're a student, professional, or financial enthusiast, this course equips you to analyze fixed-income securities confidently.Section-Wise Curriculum OverviewSection 1: IntroductionBegin with the foundations of fixed income mathematics and its importance in financial analysis.Lecture 1: Introduction to Fixed Income Mathematics (Preview enabled)Overview of fixed income securities and mathematical applications.Section 2: Geometric and Taylor Series in Fixed Income MathematicsUnderstand how mathematical series contribute to fixed income analysis.Lecture 2: Geometric Series in Fixed Income Mathematics (Preview enabled)Application of geometric series in bond valuation.Lecture 3: Taylor Series in Fixed Income Mathematics (Preview enabled)Introduction to Taylor series and its use in fixed income calculations.Lecture 4: Taylor Series in Fixed Income Mathematics ContinuesAdvanced exploration of Taylor series applications.Section 3: Derivatives in Fixed Income MathematicsLearn the role of calculus in analyzing fixed income securities.Lecture 5: Derivatives Fixed Income Mathematics (Preview enabled)Basics of derivatives and their relevance in bond pricing.Lecture 6: Integration Fixed Income MathematicsIntegration techniques for bond value determination.Section 4: Functions in Essential MathematicsExplore exponential and logarithmic functions vital for fixed income analysis.Lecture 7: Exponential Functions in Essential MathematicsApplications of exponential functions in bond pricing.Lecture 8: Logarithmic Functions in Essential MathematicsUsing logarithmic functions to analyze fixed income securities.Section 5: Zero Coupon BondsDive into the valuation and characteristics of zero-coupon bonds.Lecture 9: Types and Characteristics of BondsOverview of bond types with a focus on zero-coupon bonds.Lecture 10-11: Formula of Zero Coupon BondStep-by-step calculation methods.Section 6: Annuities and PerpetuitiesUnderstand how annuities and perpetuities play a role in fixed income.Lecture 12: Annuities and PerpetuitiesConcepts of regular payments and perpetual cash flows.Lecture 13-14: Examples of AnnuitiesPractical applications and problem-solving.Lecture 15: Perpetuities BondsExploring perpetual bonds and their valuation.Section 7: Bullet and Amortized BondsLearn about bond repayment structures and their financial implications.Lecture 16-17: Bullet and Amortized BondsDefinitions, characteristics, and comparison of repayment structures.Section 8: Par Coupon and Floating Rate BondsAnalyze bonds with fixed and variable interest rates.Lecture 18-19: Par Coupon Rates in Fixed Income MathematicsUnderstanding fixed-rate bonds and their pricing.Lecture 20: Floating Rate BondExamination of bonds with adjustable interest rates.Section 9: Interest Rate and Discount RateStudy the relationship between interest and discount rates in bond pricing.Lecture 21: Interest Rate in Fixed Income MathematicsBasics of interest rates and their impact on bonds.Lecture 22: Discount Rate in Fixed Income MathematicsCalculating bond present values using discount rates.Section 10: Yield and Yield to MaturityMaster the concepts of bond yield and how it affects investment decisions.Lecture 23: Yields and Its WorksIntroduction to yield and its significance.Lecture 24-25: Methods of YieldsVarious approaches to calculating yields, including YTM.Section 11: Rate of ReturnCalculate the profitability of fixed income investments.Lecture 26: Rate of ReturnMethods to evaluate the performance of bond investments.ConclusionBy the end of this course, you will have a solid grasp of fixed income mathematics, enabling you to confidently navigate bond markets, calculate yields, and assess investment returns effectively.
