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⇱ Bond Mathematics & Investment Analysis | Coursera


Bond Mathematics & Investment Analysis

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Bond Mathematics & Investment Analysis

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Gain insight into a topic and learn the fundamentals.
9 hours to complete
Flexible schedule
Learn at your own pace

Gain insight into a topic and learn the fundamentals.
9 hours to complete
Flexible schedule
Learn at your own pace

What you'll learn

  • Apply time value of money and quantitative methods to bond valuation.

  • Analyze fixed income instruments using yield, duration, and convexity.

  • Evaluate bond structures and investment returns under market conditions.

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Recently updated!

April 2026

Assessments

12 assignments

Taught in English

Build your subject-matter expertise

This course is part of the Bond Valuation & Fixed Income Mastery Specialization
When you enroll in this course, you'll also be enrolled in this Specialization.
  • Learn new concepts from industry experts
  • Gain a foundational understanding of a subject or tool
  • Develop job-relevant skills with hands-on projects
  • Earn a shareable career certificate

There are 4 modules in this course

Master fixed income mathematics and bond valuation to analyze investments with precision and confidence. Learn how to apply time value of money, yield measures, and quantitative techniques in real-world financial scenarios.

This course provides a structured approach to understanding the mathematics behind fixed income securities. You will build a strong foundation in key concepts such as exponential functions, geometric series, derivatives, and integration, and learn how they apply to bond pricing and interest rate sensitivity. Through practical modules, you will explore zero coupon bonds, annuities, perpetuities, and different bond structures including bullet, amortized, and floating rate bonds. You will also learn to evaluate yields, measure duration and convexity, and interpret investment returns under varying market conditions. By the end of the course, you will be able to apply quantitative models to analyze fixed income instruments and make informed investment decisions. Ideal for finance students and professionals, this course bridges mathematical theory with practical financial applications to build strong analytical and decision-making skills.

This module builds the quantitative foundation required for fixed income analysis by introducing core mathematical concepts such as geometric series, Taylor series, derivatives, integration, and exponential functions. Learners develop the analytical skills necessary to understand bond pricing mechanics, interest rate sensitivity, and continuous compounding models used in modern fixed income mathematics.

What's included

7 videos3 assignments

7 videosβ€’Total 60 minutes
  • Introduction to Fixed Income Mathematicsβ€’8 minutes
  • Geometric Series in Fixed Income Mathematicsβ€’10 minutes
  • Taylor Series in Fixed Income Mathematicsβ€’8 minutes
  • Taylor Series in Fixed Income Mathematics Continuesβ€’8 minutes
  • Derivatives Fixed Income Mathematicsβ€’10 minutes
  • Integration Fixed Income Mathematicsβ€’7 minutes
  • Exponential Funtion in Essental Mathematicsβ€’10 minutes
3 assignmentsβ€’Total 50 minutes
  • Core Mathematical Tools for Financeβ€’10 minutes
  • Advanced Calculus Applications in Financeβ€’10 minutes
  • Graded-Mathematical Foundations of Fixed Incomeβ€’30 minutes

This module focuses on the time value of money and its application to bond valuation. It explores exponential and logarithmic functions, zero coupon bond pricing, annuities, and perpetuities, enabling learners to calculate present values and understand long-term cash flow structures in fixed income securities.

What's included

6 videos3 assignments

6 videosβ€’Total 55 minutes
  • Logrithmic Funtion in Essental Mathematicsβ€’9 minutes
  • Types and Characteritics of Bondβ€’11 minutes
  • Formula of Zero Coupon Bond β€’5 minutes
  • Formula of Zero Coupon Bond Continues β€’8 minutes
  • Annuities and Perpetuitiesβ€’10 minutes
  • Example of Annuitiesβ€’11 minutes
3 assignmentsβ€’Total 50 minutes
  • Exponential & Logarithmic Applicationsβ€’10 minutes
  • Zero Coupon Bonds & Time Value Structuresβ€’10 minutes
  • Graded-Time Value Mathematics & Bond Valuation Basicsβ€’30 minutes

This module examines different bond structures and their cash flow characteristics, including bullet bonds, amortized bonds, floating rate bonds, and par coupon rate dynamics. Learners gain practical insights into how coupon structures and repayment patterns influence bond pricing and yield behavior.

What's included

6 videos3 assignments

6 videosβ€’Total 60 minutes
  • Example of Annuities Continuesβ€’9 minutes
  • Perpetuities Bondsβ€’10 minutes
  • Bullet and Amortized Bondβ€’10 minutes
  • Bullet and Amortized Bond Continuesβ€’11 minutes
  • Par Coupon Rates in Fixed Income Mathematicsβ€’10 minutes
  • Par Coupon Rates in Fixed Income Mathematics Continuesβ€’12 minutes
3 assignmentsβ€’Total 50 minutes
  • Annuities, Perpetuities & Bond Cash Flowsβ€’10 minutes
  • Coupon Structures & Rate Mechanicsβ€’10 minutes
  • Graded-Bond Structures & Cash Flow Mechanicsβ€’30 minutes

This module explores the framework of interest rates, discount rates, yield calculations, and return measurement in fixed income investments. Learners develop the ability to interpret yield measures such as current yield and yield to maturity, and to assess realized return under varying market conditions.

What's included

7 videos3 assignments

7 videosβ€’Total 69 minutes
  • Floatng Rate Bondβ€’11 minutes
  • Interest Rate in Fixed Income Mathematicsβ€’8 minutes
  • Discount Rate in Fixed Income Mathematicsβ€’10 minutes
  • Yields and Its Worksβ€’9 minutes
  • Methods of Yieldsβ€’8 minutes
  • Methods of Yields Continuesβ€’11 minutes
  • Rate of Returnβ€’12 minutes
3 assignmentsβ€’Total 50 minutes
  • Rate Framework in Fixed Incomeβ€’10 minutes
  • Yield Measurement & Return Analysisβ€’10 minutes
  • Graded-Interest Rates, Yields & Investment Returnsβ€’30 minutes

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Instructor

EDUCBA
1,663 Coursesβ€’338,914 learners

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Frequently asked questions

To access the course materials, assignments and to earn a Certificate, you will need to purchase the Certificate experience when you enroll in a course. You can try a Free Trial instead, or apply for Financial Aid. The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.

When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile.

Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.

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