A 40-year-old woman decides to put funds into a retirement plan. She can save $1,000 a year and earn 7 percent on this savings. How much will she have accumulated if she retires at age 65? Use Appendix C to answer the question. Round your answer to the nearest dollar. $   At retirement how much can she withdraw each year for 20 years from the accumulated savings if the savings continue to earn 7 percent? Use Appendix D to answer the question. Round your answer to the nearest dollar.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 43P
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A 40-year-old woman decides to put funds into a retirement plan. She can save $1,000 a year and earn 7 percent on this savings. How much will she have accumulated if she retires at age 65? Use Appendix C to answer the question. Round your answer to the nearest dollar.
$  

At retirement how much can she withdraw each year for 20 years from the accumulated savings if the savings continue to earn 7 percent? Use Appendix D to answer the question. Round your answer to the nearest dollar.
$  

Expert Solution
Step 1 Analysis

We need to calculate the persent value of annuity  by using this formula.

   PV of annuity =CF* [1-1/(1+i)n]/i

Where CF =cash flow for each period

             n =number of periods

              i = rate of interest

 For calculation of accumulated savings at retairnment, we need to calculate future value of persent value of annuity.           

Future value  =PV(1+i)n

Where PV =persent value

              i=rate of interest

              n= number of periods

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