11.3 The Derivation of (Ordinary) Annuity Factors

You are given the following information. Column by column, complete the table by filling in the appropriate future value factors (FVF), the future values of each respective cash flow (FVCF), as well as the same for the present value factors and cash flows (PVF and PVCF). Once completed, add up the columns at the bottom.

Note that here we are dealing with “ordinary” annuities, which means that all the cash flows in the series are received at the end of the relevant period. Soon, we will examine another convention. Use the timeline below to properly place each of the three cash flows temporarily (see the timeline below). Placement will determine the proper exponents and hence periods.

 

Given:

3-year annuity

$100 received per year.

Annual Discounting/Compounding Factor = R = .10

 

 

 

Code:

FVF = Future Value Factor

FVCF = Future Value of the Cash Flow

PVF = Present Value Factor

PVCF = Present Value of the Cash Flow

 

CF1 = First Cash Flow

CF2 = Second

CF3 = Third

 

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Introduction to Financial Analysis Copyright © 2022 by Kenneth S. Bigel is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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