2) a fund that pays a nominal rate of 4% per year compounded monthly. You would like to deposit $X every month during the first year and $2X every month during the second year. Determine the amounts of your monthly deposits during year 1 and year 2. You want to accumulate $30,000 two years from now. You decide to make monthly deposits into

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem Statement**

You want to accumulate $30,000 two years from now. You decide to make monthly deposits into a fund that pays a nominal rate of 4% per year, compounded monthly. You would like to deposit $X every month during the first year and $2X every month during the second year. Determine the amounts of your monthly deposits during year 1 and year 2.
Transcribed Image Text:**Problem Statement** You want to accumulate $30,000 two years from now. You decide to make monthly deposits into a fund that pays a nominal rate of 4% per year, compounded monthly. You would like to deposit $X every month during the first year and $2X every month during the second year. Determine the amounts of your monthly deposits during year 1 and year 2.
Expert Solution
Step 1

Given that:

Future value = $30,000

Rate of interest = 4% = 0.04

Number of computing periods in year(n)= 12

Amount deposit in the first year = $X.

Amount deposit in the second year = $2X.

The formula for compound interest is,

FV=PMT1+rnnt-1rn

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