Math Problem Statement
On December 30, you make a $4,800 charitable donation.
If you are in the 24 percent tax bracket, how much will you save in taxes for the current year?
If you deposit that tax savings in a savings account for the next 5 years at 8 percent, what will be the future value of that account?
Note: Round FV factor to 3 decimal places and final answer to 2 decimal places.
Solution
Step 1: Calculate the tax savings
Since you are in the 24% tax bracket, you will save 24% of your charitable donation in taxes.
So, the tax savings will be $1,152.
Step 2: Calculate the future value of the tax savings
The tax savings of $1,152 will be deposited into a savings account with an interest rate of 8% for 5 years. We will use the Future Value formula for compound interest:
Where:
- is the future value,
- is the present value (tax savings),
- is the annual interest rate,
- is the number of years.
Let's calculate this step by step:
Final Answer:
The future value of the account will be $1,692.29 after 5 years.
Would you like further details or have any questions?
Here are 5 related questions you might find interesting:
- How would the future value change if the interest rate were 10% instead of 8%?
- What if you deposited the tax savings for 10 years instead of 5?
- How is compound interest different from simple interest in this context?
- How does the tax bracket affect the tax savings in this scenario?
- What are the implications of making larger charitable donations in terms of tax savings?
Tip: When saving money, higher interest rates and longer durations result in significantly larger future values due to compound interest!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Tax Calculation
Compound Interest
Percentage
Formulas
Tax savings = Donation Amount × Tax Bracket
Future Value (FV) = Present Value (PV) × (1 + r)^n
Theorems
Compound Interest Theorem
Suitable Grade Level
Grades 9-12
Related Recommendation
Calculate Tax Savings from 401(k) Contribution of $11,366 at 22% Marginal Tax Rate
Calculate Future Savings from Monthly Investments with a 7% Annual Return
How Tax Deduction Savings Work: IRA and 401k Contributions
Future Value of Savings: Accumulating $1,200 at 7% Over 11, 16, and 21 Years
Calculate Compound Interest After 6 Years: Brenda's Investment Example