Stefani​ German, a​ 40-year-old woman, plans to retire at age​65, and she wants to accumulate ​$450,000 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 ​$37,280 that at an annual rate of return of 6% will grow to about ​$160,000 by her 65th birthday​ (the $160,000 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​$450,000​? b. How much must Stefani save to accumulate the sum calculated in part a over
the next 25 ​years?