Math Problem Statement
New parents wish to save for their newborn's education and wish to have $39,000 at the end of 17 years. How much should the parents place at the end of each year into a savings account that earns an annual rate of 4.9% compounded annually? (Round your answers to two decimal places.) $ 1,522.48
Correct: Your answer is correct.
How much interest would they earn over the life of the account? $ 13117.84
Correct: Your answer is correct.
Determine the value of the fund after 11 years. $ How do I plug this last part into a finance ti-84 part of a calculator
Solution
To determine the value of the fund after 11 years using a TI-84 financial calculator, you will follow these steps:
Step-by-Step Guide for Plugging into the TI-84:
-
Access the TVM Solver:
- Press the
2nd
button, then press theFINANCE
button (aboveX^-1
). - Scroll down to select
TVM Solver
(option 1).
- Press the
-
Input the Known Variables:
- N: Total number of years into the future you're solving for (11 years in this case). Since we're making payments annually, leave this as 11.
- I%: This is the annual interest rate. Enter
4.9
for 4.9%. - PV (Present Value): Since the parents are starting from $0, enter
0
. - PMT (Payment): This is the amount the parents deposit each year. Enter
-1522.48
(negative because it's an outflow). - FV (Future Value): This would be $0 unless you want to adjust it. Leave it unchanged in this step.
- P/Y (Payments per Year): Enter
1
since payments are made once per year. - C/Y (Compounding per Year): Also enter
1
since the interest is compounded annually.
-
Compute the Fund's Value After 11 Years:
- After inputting the values, highlight the FV (Future Value) field.
- Press
ALPHA
followed byENTER
to compute the future value.
This will give you the value of the fund after 11 years.
If you follow these steps correctly, the TI-84 will display the future value of the savings account after 11 years.
Let me know if you need further details or help!
Here are 5 follow-up questions related to the previous topic:
- How does changing the interest rate affect the amount saved?
- What if the parents deposited at the beginning of each year instead of the end?
- How would semi-annual compounding change the calculations?
- What is the total amount deposited by the parents after 17 years?
- What would the fund value be after 17 years if the interest rate was only 3%?
Tip: Always ensure the correct compounding period is selected on your financial calculator to avoid incorrect results!
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Math Problem Analysis
Mathematical Concepts
Compound Interest
Savings Plans
Finance
Formulas
Future Value of Annuity Formula: FV = P * [(1 + r)^n - 1] / r
Interest Earned Formula: Interest = Future Value - Total Contributions
Theorems
Compound Interest Theorem
Suitable Grade Level
High School - College (Grades 10-12, College)
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