Stefani​ German, a​ 40-year-old woman, plans to retire at age​ 65, and she wants to accumulate ​$420,000 over the next 25 years to supplement the retirement programs provided by the federal government and her employer. She expects to earn an average annual return of about 6% by investing in a​ low-risk portfolio containing about 20% ​short-term securities, 30% common​ stock, and 50% bonds. Stefani currently has ​$32,620 that at an annual rate of return of 6% will grow to about ​$140,000 by her 65th birthday​ (the $140,000 figure is found using time value of money​ techniques, Chapter 4​ Appendix.) Stefani consults a financial advisor to determine how much money she should save each year to meet her retirement savings objective. The advisor tells Stefani that if she saves about ​$18.23 each​ year, she will accumulate​ $1,000 by age 65. Saving 5 times that amount each​ year, $91.15​, allows Stefani to accumulate roughly​ $5,000 by age 65. a. How much additional money does Stefani need to accumulate over time to reach her goal of ​$420,000​? b. How much must Stefani save to accumulate the sum calculated in part a over the next 25 ​years?

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Stefani​ German, a​ 40-year-old woman, plans to retire at age​ 65, and she wants to accumulate
​$420,000
over the next
25
years to supplement the retirement programs provided by the federal government and her employer. She expects to earn an average annual return of about
6%
by investing in a​ low-risk portfolio containing about
20%
​short-term securities,
30%
common​ stock, and
50%
bonds.
Stefani currently has
​$32,620
that at an annual rate of return of
6%
will grow to about
​$140,000
by her 65th birthday​ (the
$140,000
figure is found using time value of money​ techniques, Chapter 4​ Appendix.) Stefani consults a financial advisor to determine how much money she should save each year to meet her retirement savings objective. The advisor tells Stefani that if she saves about
​$18.23
each​ year, she will accumulate​ $1,000 by age 65. Saving 5 times that amount each​ year,
$91.15​,
allows Stefani to accumulate roughly​ $5,000 by age 65.
a. How much additional money does Stefani need to accumulate over time to reach her goal of
​$420,000​?
b. How much must Stefani save to accumulate the sum calculated in part a over the next
25
​years?
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