Question

In: Economics

*SOLVE IN EXCEL* Sondra deposits $5,500 in an IRA account on April 15, 2019. Assume the...

*SOLVE IN EXCEL*

Sondra deposits $5,500 in an IRA account on April 15, 2019. Assume the account will earn 3% annually. If she repeats this for the next nineteen years (for a total of twenty contributions), how much will she have on deposit on April 14, 2039?

Solutions

Expert Solution

Answer: $ 152,220.67

Excel Table:

Year Amount Deposited at April 15 Balance at April 15 Interest Rate (%) Interest on 'Balance at April 15' Balance at April 14 (of Next Year)
2019 5500.00 5500.00 3% 165.00 5665.00
2020 5500.00 11165.00 3% 334.95 11499.95
2021 5500.00 16999.95 3% 510.00 17509.95
2022 5500.00 23009.95 3% 690.30 23700.25
2023 5500.00 29200.25 3% 876.01 30076.25
2024 5500.00 35576.25 3% 1067.29 36643.54
2025 5500.00 42143.54 3% 1264.31 43407.85
2026 5500.00 48907.85 3% 1467.24 50375.08
2027 5500.00 55875.08 3% 1676.25 57551.34
2028 5500.00 63051.34 3% 1891.54 64942.88
2029 5500.00 70442.88 3% 2113.29 72556.16
2030 5500.00 78056.16 3% 2341.68 80397.85
2031 5500.00 85897.85 3% 2576.94 88474.78
2032 5500.00 93974.78 3% 2819.24 96794.03
2033 5500.00 102294.03 3% 3068.82 105362.85
2034 5500.00 110862.85 3% 3325.89 114188.73
2035 5500.00 119688.73 3% 3590.66 123279.39
2036 5500.00 128779.39 3% 3863.38 132642.78
2037 5500.00 138142.78 3% 4144.28 142287.06
2038 5500.00 147787.06 3% 4433.61 152220.67

Explanation:

Step 1. Amount deposited on April 15, 2019 = $ 5,500. So, Balance on April 15, 2019 = $ 5,500.

Step 2. Interest on this amount @ 3 % = $ 5,500 x 3 / 100 = $ 165.00

Step 3. So, Balance at April 14, 2020 = Balance at April 15, 2019 + Interest on "Balance at April 15, 2019"

= $ 5, 500 + $ 165

Balance at April 14, 2020   = $ 5,665.00

Step 4. Amount deposited on April 15, 2020 = $ 5,500.

So, Balance on April 15, 2020 = Balance at April 14, 2020 + Amount deposited on April 15, 2020

= $ 5,665.00 + $ 5,500.00

Balance on April 15, 2020 = $ 11,165.00  

Interest on this amount @ 3 % = $ 11,165 x 3 / 100 = $ 334.95

So, Balance at April 14, 2021 = Balance at April 15, 2020 + Interest on "Balance at April 15, 2020"

= $ 11,165 + $ 334.95

Balance at April 14, 2021 = $ 11,499.95

Step 5. Repeat the step 4 for each year. We get Balance on April 14, 2039 = $ 152,220.67


Related Solutions

Sondra deposits $2,600 in an IRA account on April 15, 2021. Assume the account will earn...
Sondra deposits $2,600 in an IRA account on April 15, 2021. Assume the account will earn 3% annually. If she repeats this for the next 13 years, how much will she have on deposit on April 14, 2034? Multiple Choice $46,007. $50,189. $41,824. $43,916.
You plan to make 15 deposits at the end of each year in an account that...
You plan to make 15 deposits at the end of each year in an account that pays 6% compound interest annually. If the first deposit is $ 1,000 and subsequently 500 are added each year to the amount deposited the previous year (1000, 1500, ...), the amount of the account at the end of the 15 years will be close to: a. $71,550 b. $97,777 c. $92,242 d. $87,021 e.No correct answer is provided.
a) Assume that yesterday (April 22, 2020) the interest rate on dollar deposits in the U.S....
a) Assume that yesterday (April 22, 2020) the interest rate on dollar deposits in the U.S. was 0.02 (2%) per year and the interest rate on euro deposits was 0.02 (2%) per year. Investors yesterday expected that the exchange rate in one year (April 22, 2021) will be 2.02 dollars for one euro. What was the current exchange rate in terms of dollars per euro yesterday (April 22, 2020)? Illustrate your answer, using a graph with the rates of return...
A) Assume that you wish to make annual deposits into a savings account. The interest rate...
A) Assume that you wish to make annual deposits into a savings account. The interest rate offered by the bank is 11%, and you plan to save for the next 12 years. If your goal is for the present value of your savings to be equal to $4,058, how much money must you deposit every year? B) Assume you've just received a bonus at work of $3,812. You deposit that money in the bank today, where it will earn interest...
if someone deposits $150 into a bank account that earns 15% every year and withdraw thier...
if someone deposits $150 into a bank account that earns 15% every year and withdraw thier interest every year for 2 years, how much interest do they collect in thise years? step by step how to do it
need to solve it on excel as soon as possible Assume that three business owners each...
need to solve it on excel as soon as possible Assume that three business owners each own an identical storage building valued at $120,000. Assume that there is a 1% chance in any year each building will be destroyed by a peril (fire), and that a loss to any of the buildings is an independent event. Assuming that: (first case ) Fire events are independent of each other (second case) Each building faces the same types of risks and environmental...
Victoria's 2019 tax return was due on April 15, 2020, but she did not file it...
Victoria's 2019 tax return was due on April 15, 2020, but she did not file it until June 12, 2020. Victoria did not file an extension. The tax due on the tax return when filed was $10,000. In 2019, Victoria paid in $16,500 through withholding. Her 2018 tax liability was $14,500. Victoria’s AGI for 2019 is less than $150,000. How much penalty will Victoria have to pay (disregard interest)?
A business machine purchased April 10, 2017, for $98,000. On August 15, 2019, the machine was...
A business machine purchased April 10, 2017, for $98,000. On August 15, 2019, the machine was fully deprecated and sold for $67,000. a) What is the amount of the gain or loss from the sale of the machine? b) What is the nature/character of the gain or loss from the sale of the machine?
Jessica has a margin account in which she deposits $300,000 (Equity). Assume that the initial margin...
Jessica has a margin account in which she deposits $300,000 (Equity). Assume that the initial margin requirement is 50% and that the margin maintenance is 15%. Jessica is planning to invest (long) in Ford stock which is currently selling at $40/share. a) Show that Jessica could purchase 15,000 shares, using the maximum allowable margin. b) Assume that the broker charges 5% annual interest rate, assume that the broker's fees are 0.3% of the total amount paid for the purchase and...
Make an Excel model for a superannuation account. For simplicity, assume the rate is (2%) Make...
Make an Excel model for a superannuation account. For simplicity, assume the rate is (2%) Make the following inputs. a. Age (an integer) c. Desired superannuation withdrawal amount (in dollars) d. Desired annual income for ages 65 to 85, inclusive (males), Assume this annual amount is paid on each birthday, starting at age 65, and ending at 85. This stream of annual payments is what we refer to below as the user’s retirement income stream. The spreadsheet will then generate...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT