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Tuesday, August 15, 2023

Accounting: The Language of Business - Vol. 2 (Intermediate: Part 93)


Justice demands integrity. It’s to have a moral universe — not only know what is right or wrong but to put things in perspective, weigh things. Justice is different from violence and retribution; it requires complex accounting.

 Accounting and the Time Value of Money (Part F)

by

Charles Lamson


Financial Calculator Solution. Finally, we illustrate solving future value problems with a financial calculator (continued from Part 92, where we were discussing future value of a single sum). To solve the problem in Example 7.7, also from Part 92, enter the following keystrokes. We use Texas Instruments BA II Plus to illustrate keystrokes. Most financial calculators are similar.



These keystrokes correspond to an outflow of $10,000 today at a 2% interest rate per compounding period and 40 compounding periods. The calculator provides the solution of $22,080.40




Present Value of a Single Sum


The present value of a single sum is another common time value of money problem found in practice. In this type of problem, we know the future value of the single cash flow., the interest rate, and the number of periods and we need to compute the present value. As an example, assume that you are offered an opportunity to receive $108 at the end of one year. you could earn a rate of return of 8% on your next best alternative investment. How much are you willing to invest today to have the opportunity to receive $108 at the end of year one? Exhibit 7.6 graphically analyzes this problem.



As with single sum future value problems (which we discussed in Parts 91, 92, and at the beginning of this post), present value problem solutions may use a formula, table, a spreadsheet, or a financial calculator.


Formula Solution. The present value formula is an algebraic manipulation of Equation 7.2. That is, we start with the equation for the FV of a single sum:



where PV is the present value, FV is the future value, I/Y is the interest rate per compounding period, and N is the number of compounding periods.



The resulting formula for the present value is presented in Equation 7.4:


   (7.4) 

 where PV is the present value, FV is the future value, I/Y is the interest rate per compounding period, and N is the number of compounding periods.


The equation for the PV of a single sum indicates that it is directly related to the FV and it is inversely related to N and I/Y. The formula approach is shown in Example 7.8.




*GORDON, RAEDY, SANNELLA, 2019, INTERMEDIATE ACCOUNTING, 2ND ED., PP. 323-324*


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