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.
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.
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 24P
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Step 1: Explain Continuous compounding
VIEWStep 2: a) Compute the value after 20 years considering the given details
VIEWStep 3: b) Compute the money in account 15 years after moving his money into the second account.
VIEWStep 4: c) Draw a payout graph showing money growth over 35 years
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