Question: 2. Looking forward - Future value Compounding Interest You know that paying yourself (by depositing money in a savings account) is a prudent start to
2. Looking forward - Future value
Compounding Interest
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 $7,375.00 per year via an annual, single year-end deposit. Lets say that you are age 35 now, so your money will grow for the next 30 years until you reach age 65. You will open a savings account at the Wells Fargo branch near your home. Its savings accounts are paying 6% interest.
| Future Value of Annuity Factors | |||||||
|---|---|---|---|---|---|---|---|
| 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 |
To calculate the value of this nest egg, enter the data provided by entering the correct value in the applicable entry field.
| Annual savings | |
| Years over which it will grow | |
| Interest rate | |
| Interest factor |
What will be the value of this money in 30 years? (Note: Round to two decimal places.)
You began your savings program at age 35. If you had started five years earlier, such that your funds would grow foryears, what would your nest egg be worth, assuming the same interest rate and annual savings amount? (Note: Round to two decimal places.)
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 30 years and all other factors staying the same?
To calculate the revised value of your nest egg, reenter the provided data, remembering to change the FVA factor based on the change in interest rate.
| Annual savings | |
| Years over which it will grow | |
| Interest rate | |
| Interest factor |
What will be the value of this money in 30 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.)
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