Math Problem Statement
To plan for retirement, Michael deposits each year in an annuity that pays interest, compounded annually. Payments will be made at the end of each year. Find the total value of the annuity in years.
Do not round any intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the list of financial formulas.
Solution
To calculate the future value of an annuity, we can use the Future Value of an Annuity formula:
Where:
- is the future value of the annuity.
- is the annual payment.
- is the interest rate per period (as a decimal).
- is the number of years.
Since you mentioned that Michael deposits a fixed amount each year, but did not provide specific values for the payment amount , interest rate , and time , I'll need these values to provide a final answer. Could you please provide the values for the annual payment, interest rate, and number of years?
Once I have this information, I can calculate the future value of the annuity for you!
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Math Problem Analysis
Mathematical Concepts
Finance
Annuities
Compound Interest
Time Value of Money
Formulas
Future Value of an Annuity formula: FV = P × ((1 + r)^t - 1) / r
Theorems
Time Value of Money Theorem
Suitable Grade Level
Grades 11-12
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