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Friday, September 1, 2023

Accounting: The Language of Business - Vol. 2 (Intermediate: Part 97)


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Accounting and the Time Value of Money (Part J)

by

Charles Lamson


Formula Solution for a Future Value of an Ordinary Annuity Problem. The formula for a future value of an ordinary annuity problem is as follows:




EXAMPLE 7.15 Future Value of an Ordinary Annuity: Formula Approach


Factor Table Solution for Solving Future Value of an Ordinary Annuity Problems. Table 7A.3 presents the factors for solving future value of an ordinary annuity problems. The amount presented in the cell for each row and column is computed from the interest component in equation 7.9: It is the factor that is the future value of a $1 annuity for the given interest rate and number of periods. Equation 7.10 (in Table 7A.3 below) solves future value of ordinary annuity problems using the factors in Table 7A.3.


Click to enlarge.

We use the factor that is in the row for the number of compounding periods and the column for the interest rate per compounding period. For example, from Exhibit 7.9, the factor for a 5% interest rate and a 7-year period is 8.14201.


Click to enlarge.


EXAMPLE 7.16 Future Value of an Ordinary Annuity: Table Approach



*GORDON, RAEDY, SANNELLA, 2019, INTERMEDIATE ACCOUNTING, 2ND ED., PP. 332-334*


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