Amy​ Parker, a​ 22-year-old and newly hired marine​ biologist, has opened a​ 401(k) retirement plan with her employer.​ Amy's contribution, plus that of her​ employer, amounts to ​$2,200 per year starting at age 23. Amy expects this amount to increase by 3​% each year until she retires at the age of 57 ​(there will be 35 EOY​ payments). What is the compounded future value of​ Amy's 401(k)​ plan, in millions of​ $, if it earns an annual interest rate of 9​% per​ year? ​(a) The compounded future value of​ Amy's 401(k) plan is  ​$   million. ​ (Round to three decimal​ places.   ​(b) What will be the compounded future value if the plan earns an annual interest rate of 3​% per year​ (instead of 9​% per year​)?  million. ​(Round to three decimal​ places.)

Excel Applications for Accounting Principles
4th Edition
ISBN:9781111581565
Author:Gaylord N. Smith
Publisher:Gaylord N. Smith
Chapter27: Time Value Of Money (compound)
Section: Chapter Questions
Problem 6E
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Amy​ Parker, a​ 22-year-old and newly hired marine​ biologist, has opened a​ 401(k) retirement plan with her employer.​ Amy's contribution, plus that of her​ employer, amounts to ​$2,200 per year starting at age 23. Amy expects this amount to increase by 3​% each year until she retires at the age of 57 ​(there will be 35 EOY​ payments). What is the compounded future value of​ Amy's 401(k)​ plan, in millions of​ $, if it earns an annual interest rate of 9​% per​ year?

​(a) The compounded future value of​ Amy's 401(k) plan is  ​$   million. ​ (Round to three decimal​ places.
 
​(b) What will be the compounded future value if the plan earns an annual interest rate of 3​% per year​ (instead of 9​% per year​)?  million. ​(Round to three decimal​ places.) 

 

 

Expert Solution
Step 1

The FV of an annuity refers to the accumulated worth of the cash flows assuming that they grow at a fixed rate to maturity. It uses the concept of TVM in its calculations.

 

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