Question
You know that paying yourself by depositing money in a savings account is a prudent start to your retirement plan. You determined that, based on
You know that paying yourself by depositing money in a savings account is a prudent start to your retirement plan. You determined that, based on your other obligations, you can save $7,000.00 per year via an annual, single year-end deposit. You are 40 years old now, so your money will grow for the next 25 years until you turn 65. You will open a savings account at the US Bank branch near your home. Its savings accounts are paying 6% interest.
The following table shows the future value factors for various periods and interest rates:
Future Value of an Annuity Factor
Year | 2% | 3% | 5% | 6% | 8% | 9% | 10% |
---|---|---|---|---|---|---|---|
10 | 10.950 | 11.460 | 12.578 | 13.180 | 14.487 | 15.190 | 15.937 |
12 | 13.412 | 14.190 | 15.917 | 16.870 | 18.977 | 20.140 | 21.384 |
15 | 17.293 | 18.600 | 21.578 | 23.270 | 27.152 | 29.360 | 31.772 |
20 | 24.297 | 26.870 | 33.066 | 36.780 | 45.762 | 51.160 | 57.274 |
25 | 32.030 | 36.460 | 47.726 | 54.860 | 73.105 | 84.700 | 98.346 |
30 | 40.567 | 47.570 | 66.438 | 79.060 | 113.282 | 136.300 | 164.491 |
35 | 49.994 | 60.460 | 90.318 | 111.430 | 172.314 | 215.700 | 271.018 |
40 | 60.401 | 75.400 | 120.797 | 154.760 | 259.052 | 337.870 | 442.580 |
Complete the following table by entering relevant values. Then use the table of future value factors to calculate the value of this nest egg.
Annual savings |
|
Years over which it will grow |
|
Interest rate | % |
Interest factor |
|
What will be the value of this money in 25 years? (Note: Round to two decimal places.) $__________
You began saving at age 40. If you had started five years earlier, so that your funds would grow for________years, what would your nest egg be worth, assuming the same interest rate and annual savings amount? (Note: Round to two decimal places.) $__________
Suppose that a new bank in town offers 8% interest. How much would your yearly deposits be worth if you open a savings account there, assuming that your funds are invested for 25 years and all other factors remain the same?
Complete the following table by entering relevant values. Then use either the table of future value factors, the future value formula, or your financial calculator to calculate the value of this nest egg. (Hint: Remember that the FVA factor is based on the new interest rate now.)
Annual savings |
|
Years over which it will grow |
|
Interest rate | % |
Interest factor |
|
What will be the value of this money in 25 years?__________ (Note: Round to two decimal places.)
Again, if you had started your savings program five years earlier, what would your nest egg be worth, assuming that your funds were invested at this higher interest rate, the annual savings amount remains the same, and the funds are invested for _______ years? (Note: Round to two decimal places.) A.) $792,974.00 B.) $384,020.00 C.) $553,420.00 D.) $511,735.00
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