Question

In: Advanced Math

June Watson is contributing ​$3,500 each year to a Roth IRA. The IRA earns 3.3% per...

June Watson is contributing ​$3,500 each year to a Roth IRA. The IRA earns 3.3% per year. How much will she have at the end of 35​years?

Solutions

Expert Solution

Assuming she is investing at the start of the year

Interest = Principle*Rate of Interest*Time/100

Amount = Principle+Interest

Year Amount Invested ($) Number of years interest received for Interest ($)
1                    3,500.00 35        4,042.50
2                    3,500.00 34        3,927.00
3                    3,500.00 33        3,811.50
4                    3,500.00 32        3,696.00
5                    3,500.00 31        3,580.50
6                    3,500.00 30        3,465.00
7                    3,500.00 29        3,349.50
8                    3,500.00 28        3,234.00
9                    3,500.00 27        3,118.50
10                    3,500.00 26        3,003.00
11                    3,500.00 25        2,887.50
12                    3,500.00 24        2,772.00
13                    3,500.00 23        2,656.50
14                    3,500.00 22        2,541.00
15                    3,500.00 21        2,425.50
16                    3,500.00 20        2,310.00
17                    3,500.00 19        2,194.50
18                    3,500.00 18        2,079.00
19                    3,500.00 17        1,963.50
20                    3,500.00 16        1,848.00
21                    3,500.00 15        1,732.50
22                    3,500.00 14        1,617.00
23                    3,500.00 13        1,501.50
24                    3,500.00 12        1,386.00
25                    3,500.00 11        1,270.50
26                    3,500.00 10        1,155.00
27                    3,500.00 9        1,039.50
28                    3,500.00 8            924.00
29                    3,500.00 7            808.50
30                    3,500.00 6            693.00
31                    3,500.00 5            577.50
32                    3,500.00 4            462.00
33                    3,500.00 3            346.50
34                    3,500.00 2            231.00
35                    3,500.00 1            115.50
             1,22,500.00      72,765.00
Total Amount she have at end 1,95,265.00

Related Solutions

Suppose that you put $3,000 per year in a Roth IRA (Individual Retirement Account) at the...
Suppose that you put $3,000 per year in a Roth IRA (Individual Retirement Account) at the end of each year. You plan to leave these contributions and any interest and dividends earned in the account (and will reinvest in the bonds and stocks that you hold in this IRA). Suppose that your investments earn 6.6% per year, compounded annually. What will your Roth account balance be at the end of 36 years? Do not round at intermediate steps in your...
Ruben invested $1300 per year in an IRA each year for 6 years earning 14% compounded...
Ruben invested $1300 per year in an IRA each year for 6 years earning 14% compounded annually. At the end of 6 years he ceased the IRA payments, but continued to invest his accumulated amount at 14% compounded annually for the next 8 years. a) What was the value of his IRA at the end of 6 years? Answer = $ b) What was the value of the investment at the end of the next 8 years? Answer = $
Ruben invested $1700 per year in an IRA each year for 5 years earning 13% compounded...
Ruben invested $1700 per year in an IRA each year for 5 years earning 13% compounded annually. At the end of 5 years he ceased the IRA payments, but continued to invest his accumulated amount at 13% compounded annually for the next 4 years. a) What was the value of his IRA at the end of 5 years? b) What was the value of the investment at the end of the next 4 years? Answer = $
Yuki (age 45 at year-end) has been contributing to a traditional IRA for years (all deductible...
Yuki (age 45 at year-end) has been contributing to a traditional IRA for years (all deductible contributions), and her IRA is now worth $51,000. She is trying to decide whether she should roll over her traditional IRA into a Roth IRA. Her current marginal tax rate is 25 percent. She plans to withdraw the entire balance of the account in 20 years and she expects to earn a before-tax rate of return of 6.1 percent on her retirement accounts and...
Yuki (age 45 at year-end) has been contributing to a traditional IRA for years (all deductible...
Yuki (age 45 at year-end) has been contributing to a traditional IRA for years (all deductible contributions), and her IRA is now worth $48,000. She is trying to decide whether she should roll over her traditional IRA into a Roth IRA. Her current marginal tax rate is 25 percent. She plans to withdraw the entire balance of the account in 20 years and she expects to earn a before-tax rate of return of 5.8 percent on her retirement accounts and...
karla has opened an IRA in which she deposits $250 each month that earns 3.5% interest...
karla has opened an IRA in which she deposits $250 each month that earns 3.5% interest compounded monthly how much money will she have in the account after 25 years? how much total money will she put into the account? how much total interest will she earn?
Michael and Michelle currently earn a combined gross income of $200,000 per year and each earns...
Michael and Michelle currently earn a combined gross income of $200,000 per year and each earns $100,000 per year. The currently pay $2100 per month on their mortgage and plan to continue to live int he same house at retirement. The mortgage will be paid off just before their planned retirement at age 67. Michael is int he Navy Reserve and will soon qualify for retirement. This will result in him receiving a military retirement pay of $2250 per month...
If you deposit $2,000 at the end of each year into an IRA account that is...
If you deposit $2,000 at the end of each year into an IRA account that is expected to earn 8% per year simple interest, how much will be in the account in 30 years? (Answer to the nearest dollar)
Jake Werkheiser decides to invest $4000 in an IRA at the end of each year for...
Jake Werkheiser decides to invest $4000 in an IRA at the end of each year for the next 5 years. If he makes these investments, and if the certificates pay 8%, compounded annually, how much will he have at the end of the 5 years? (a) State whether the problem relates to an ordinary annuity or an annuity due. ordinary annuityannuity due      (b) Solve the problem. (Round your answer to the nearest cent.) A family wants to have a $170,000...
A person establishes a sinking fund for retirement by contributing $5,000 per year at the end...
A person establishes a sinking fund for retirement by contributing $5,000 per year at the end of each year for 5 years. For the next 10 years, equal yearly payments are withdrawn, at the end of which time the account will have a zero balance. If money is worth 4% compounded annually, what yearly payments will the person receive for the last 10 years?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT