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Hey there! Ready to learn how money can grow over time and help you pay for your biggest goals, like college?
Planning for college starts with finding the right ways to pay for it. You can use personal savings, apply for grants that you do not pay back, or look into scholarships and work-study programs.
When you save money in a bank, it earns interest. Simple interest is calculated only on the original money you deposit, which means your earnings stay the same each year.
Compound interest is different because you earn interest on your original money plus any interest you already earned. This makes your savings grow faster and faster over time, like a snowball rolling downhill.
To find the best way to pay for college, start with a big research question. You can refine this question using answers from secondary questions and gather facts from library databases, college websites, and financial counselors.
Imagine you want to compare how 1,000 grows over 2 years with a 10% interest rate. Let us calculate and compare the total earnings using simple interest versus compound interest.
- Identify the starting amount (Principal = 1,000), the annual rate (10% or 0.10), and the time (2 years).
- Calculate the simple interest: Interest = Principal x Rate x Time. This gives: 1,000 x 0.10 x 2 = 200 in total interest earnings.
- Calculate the compound interest for Year 1: 10% of 1,000 is 100. Your new balance at the end of Year 1 is 1,100.
- Calculate the compound interest for Year 2: find 10% of your new balance (1,100), which is 110.
- Add the compound interest from both years: $100 + $110 = $210 in total compound interest earnings.
- Compare the two results: Compound interest earned you $210, while simple interest earned you $200. You made $10 more with compound interest!
