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8.1 Perpetuities

Learning Outcomes

What Is a Perpetuity?

How to Value a Perpetuity

8.2 Annuities

Calculating the Present Value of an Annuity

Calculating the Present Value of an Annuity Due

Calculating Annuities Used in Structured Settlements

Calculating the Future Value of an Annuity

How Annuities Are Used for Retirement Planning

8.3 Loan Amortization

Types of Loans

Calculating Loan Payments Using Simple Amortization

8.4 Stated versus Effective Rates

The Difference between Stated and Effective Rates

Effective Rates and Period of Compounding

8.5 Equal Payments with a Financial Calculator and Excel

Solving Time Value of Money Problems Using a Financial Calculator

Solving Time Value of Money Problems Using Excel

Master the core principles of finance with our comprehensive course, "Time Value of Money: Equal Multiple Payments. " Whether you are an aspiring financial analyst, a business student, or a professional looking to sharpen your financial modeling skills, understanding how to evaluate multiple cash flows is crucial.

Master the core principles of finance with our comprehensive course, "Time Value of Money: Equal Multiple Payments." Whether you are an aspiring financial analyst, a business student, or a professional looking to sharpen your financial modeling skills, understanding how to evaluate multiple cash flows is crucial. This course dives deep into the mechanics of perpetuities, annuities, and loan amortization, providing you with the practical tools needed to make informed financial decisions.

Throughout this engaging program, you will explore the fundamental differences between ordinary annuities and annuities due, and learn how to calculate their present and future values. We will demystify complex concepts like structured settlements and retirement planning, showing you exactly how annuities are applied in real-world scenarios. Furthermore, you will gain a solid grasp of loan amortization, empowering you to calculate loan payments and understand the true cost of borrowing by comparing stated versus effective interest rates.

To ensure you are ready for the modern financial landscape, this course also includes dedicated modules on solving Time Value of Money (TVM) problems using both financial calculators and Microsoft Excel. By the end of this course, you will possess the analytical confidence to evaluate investments, plan for retirement, and manage debt effectively. Enroll today to unlock the power of financial mathematics and take control of your financial future!

Time Value of Money: Equal Multiple Payments

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            <p>Understanding the time value of money is a cornerstone of financial decision-making, particularly when dealing with series of equal payments. This course explores the mechanics of perpetuities—cash flows that continue indefinitely—and annuities, which are finite streams of equal payments occurring at regular intervals. By examining the present and future values of ordinary annuities and annuities due, learners will gain the ability to value complex financial instruments such as structured settlements and retirement savings plans. These concepts provide the mathematical framework necessary to determine how much a future stream of income is worth today and how current savings will grow over time.</p>

<p>Beyond theoretical valuation, the curriculum delves into the practicalities of loan amortization and the critical distinction between stated and effective interest rates. Participants will learn how to break down loan payments into principal and interest components and understand how the frequency of compounding can significantly alter the true cost of borrowing. To bridge the gap between theory and practice, the course includes instruction for solving these time value of money problems using both financial calculators and Microsoft Excel. This comprehensive approach ensures that students can accurately model real-world financial scenarios, from managing personal debt to optimizing long-term investment strategies.</p>
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