   Chapter 12.III, Problem 5RE ### Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

#### Solutions

Chapter
Section ### Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447
Textbook Problem

# Note: Round to the nearest cent when necessary.For the following sinking funds, use Table 12-1 to calculate the amount of the periodic payments needed to amount to the financial objective (future value of the annuity). Sinking Fund Payment Time Period Nominal Interest Future Value Payment Frequency (years) Kate (%) Compounded (Objective) 5. every 3 months 4 4 quarterly $18,750 To determine To calculate: The amount of sinking fund payment where payment frequency is 3 months, the time duration is 4 years, the nominal rate of return is 4% and interest is compounded quarterly and future value amount is$18,750.

Explanation

Given Information:

Payment where payment frequency is 3 months, the time duration is 4 years, the nominal rate of return is 4% and interest is compounded quarterly and future value amount is $18,750. Formula used: The formula to compute the sinking fund payment is, Sinking fund payment=Future value of sinking fundFuture value table factor Calculation: Consider that payment frequency is 3 months, the time duration is 4 years, the nominal rate of return is 4% and interest is compounded quarterly and future value amount is$18,750.

The rate period is 1%(4%÷4 period per year).

The number of periods is 16(4 years×4 period per year)

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