In: Accounting
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
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 |