Future Value of Annuity Explained.

Future value of an annuity explained for CPA, CMA, and EA exam candidates and finance practitioners. This corporate finance and time value of money lecture shows how to calculate the future value of a series of equal payments, the difference between an ordinary annuity and an annuity due, and three approaches: manual summation, the future value factor formula, and financial tables. Includes worked examples with level deposits, mixed lump-sum plus annuity problems, and uneven cash flows. Ideal for students learning compounding, retirement planning math, and investment growth. Try it free at farhatlectures.com — interactive exercises, lectures, simulations, cases, multiple choice, and AI tools for CPA, CMA, EA and students. Video Timeline & Key Concepts: 0:00 Introduction: the future value of an annuity 3:38 Ordinary annuity: payments at the end of each period 4:36 Annuity due: payments at the beginning and one extra period of compounding 6:30 Manual method: computing and summing each payment's future value 8:32 The future value factor formula and using financial tables 13:38 Mixed problems: a lump sum combined with annuity payments 16:12 Uneven cash flows: future value of non-uniform deposits 19:22 Takeaway: starting early lets your money compound longer Frequently Asked Questions: Q: What is the future value of an annuity? A: The future value of an annuity is the total amount a series of equal, periodic payments will grow to by a specified future date, given a stated interest rate. It reflects both the payments themselves and the compound interest they earn over time. Q: What is the difference between an ordinary annuity and an annuity due? A: In an ordinary annuity, payments occur at the end of each period, while in an annuity due they occur at the beginning. Because each annuity-due payment compounds for one extra period, an annuity due always has a higher future value than an otherwise identical ordinary annuity. Q: How do you convert an ordinary annuity to an annuity due? A: To convert the future value of an ordinary annuity into an annuity due, you multiply the ordinary annuity result by one plus the interest rate. This adjustment accounts for the additional period of compounding that annuity-due payments receive. Q: Why does starting to invest earlier increase the future value? A: Starting earlier gives each contribution more time to earn compound interest, so early payments grow through many more periods than later ones. This is why beginning retirement savings such as a 401k sooner produces a substantially larger future value. Hashtags: #futurevalue #annuity #annuitydue #timevalueofmoney #compounding #corporatefinance #retirementplanning #CPAexam #CMAexam #enrolledagentexam #accountingcourses #collegecourses #courses