Question

In: Accounting

Monica became concerned about the stock market due to recent losses, and moved $350,000 into a...

Monica became concerned about the stock market due to recent losses, and moved $350,000 into a fund of 60% T-bills, 20% stocks, and 20% bonds. Her salary is currently $92,000 per year, and she expects raises of 2.0% each year. Her employer will match retirement savings up to 5% of her salary. If she wants $500,000 in her account in 5 years, what percentage of her salary does she need to save?

Salary - 92,000 Employer % - 5% Salary Increase - 2% Employee % - 5.13% i = 6.20% Present Worth - 350,000 Future Worth - 500,000

Solutions

Expert Solution

Given Information:
Tbills Stocks Bonds
Present Networth $ 3,50,000.00 60% 20% 20%
Hike Employer Contribution Employee Contribution Interest Rate
Salary $    92,000.00 2% 5% 5.13% 6.20%
Future Networth $ 5,00,000.00
Solution: Calculation of Savings per Annum
Years Salary Employee Contribution Employer Contribution Interest on Present Networth Total Savings Per Annum
5.13% 5% 6.20% 3.67%
1 $    92,000.00 $      4,719.60 $      4,600.00 $       21,700.00 $    26,300.00 $   3,376.40
2 $    93,840.00 $      4,813.99 $      4,692.00 $       21,700.00 $    26,392.00 $   3,443.93
3 $    95,716.80 $      4,910.27 $      4,785.84 $       21,700.00 $    26,485.84 $   3,512.81
4 $    97,631.14 $      5,008.48 $      4,881.56 $       21,700.00 $    26,581.56 $   3,583.06
5 $    99,583.76 $      5,108.65 $      4,979.19 $       21,700.00 $    26,679.19 $   3,654.72
Total $ 4,78,771.69 $   24,560.99 $   23,938.58 $   1,08,500.00 $ 1,32,438.58 $ 17,570.92
Calculation of Savings = $ 5,00,000 - $3,50,000
=$ 1,50,000 - $ 1,08,500
=$ 41,500 - $ 23,938
=$ 17,561.42
Calculation of Saving % =$ 17,561.42 / $ 4,78,771.69 *100
=3.67%
Total Savings =$ 3,50,000 + $ 1,08,500 + $ 23,930 + $ 17,570
=$ 5,00,000

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