Stefani? German, a? 40-year-old woman, plans to retire at age? 65, and she wants to accumulate $ 500000 over the next 25 years to supplement the retirement programs that are being funded by the federal government and her employer. She expects to earn an average annual return of about 4 % by investing in a? low-risk portfolio containing about 20 %? short-term securities, 30 % common? stock, and 50 % bonds. Stefani currently has $ 52516 that at an annual rate of return of 4 % will grow to about $ 140000 by her 65th birthday? (the $ 140000 figure is found using time value of money? techniques, Chapter 4? Appendix.) Stefani consults a financial advisor to determine how much money she should should save each year to meet her retirement savings objective. The advisor tells Stefani that if she saves about $ 24.01each? year, she will accumulate? $1,000 by age 65. Saving five times that amount each? year, $120.05 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 $ 500000?
b. How much must Stefani save to accumulate the sum calculated in part a. over the next 25 ?years?