4. Richard makes payments of $400 into a savings account each month. The account gains interest at a rate of 4.2% compounded monthly. 20 years later, he takes his money out of this account and places it in an account that gains continuously compounded interest at a rate of 4.0%. At this point, he is no longer making additional payments. (a) How much money is in his account at the end of the first 20 year period? (b) How much money is in his account 15 years after moving his money to the second account? (c) Use Desmos to draw a graph showing how his money growth over the full 35 year period.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 24P
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4. Richard makes payments of $400 into a savings account each month. The account gains interest at a
rate of 4.2% compounded monthly. 20 years later, he takes his money out of this account and places it
in an account that gains continuously compounded interest at a rate of 4.0%. At this point, he is no
longer making additional payments.
(a) How much money is in his account at the end of the first 20 year period?
(b) How much money is in his account 15 years after moving his money to the second account?
(c) Use Desmos to draw a graph showing how his money growth over the full 35 year period.
Transcribed Image Text:4. Richard makes payments of $400 into a savings account each month. The account gains interest at a rate of 4.2% compounded monthly. 20 years later, he takes his money out of this account and places it in an account that gains continuously compounded interest at a rate of 4.0%. At this point, he is no longer making additional payments. (a) How much money is in his account at the end of the first 20 year period? (b) How much money is in his account 15 years after moving his money to the second account? (c) Use Desmos to draw a graph showing how his money growth over the full 35 year period.
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