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Are all the terms given, important in finding both simple and compound interest? Justify your answer and put in the comment box below!
This lesson lays the groundwork for understanding two fundamental interest calculation methods: simple interest and compound interest. Let's break down the key concepts!
Simple interest is calculated only on the principal amount. It's like a fixed fee you pay each year for borrowing money.
Example: If you borrow P10,000 at a 5% simple interest rate for 3 years, you'll pay P500 in interest each year (P10,000 x 0.05). Over three years, your total interest payment would be P1,500 (P500 x 3).
Compound interest is where things get interesting (pun intended!). With compound interest, you earn interest on your initial principal and on the accumulated interest from previous periods. This creates a snowball effect, leading to exponential growth over time.
Example: Let's say you invest P10,000 at a 5% interest rate compounded annually for 3 years:
Year 1: You earn P500 in interest (P10,000 x 0.05), bringing your total to P10,500.
Year 2: You earn interest on the new principal of P10,500, resulting in P525 in interest (P10,500 x 0.05). Your total is now P11,025.
Year 3: You earn interest on P11,025, and so on.
As you can see, compound interest allows your money to grow much faster than simple interest, especially over longer periods.
Here's a video lesson to understand more about simple and compound interest!
Ready to show off your understanding of interest? This assessment will test your ability to differentiate between simple and compound interest, showcasing your knowledge through illustrations and explanations.
Scenario: Imagine you've won ₱10,000! You decide to invest it for 5 years. You have two options:
Option 1: A cooperative offers a 2% simple interest rate per year.
Option 2: A bank offers a 2% interest rate compounded annually.
What are the key differences between simple and compound interest? Research and define each term, explaining how interest is calculated in both scenarios. Use online resources and create a table summarizing the core differences.
Predict the total amount (maturity value) for each investment after 5 years. Develop formulas for both simple and compound interest and calculate the predicted returns for each option.
Visualize the growth of each investment over the 5-year period. Create graphs or charts using spreadsheet software to illustrate the growth of each investment. Compare the visual representations.
Which investment option would yield a higher return after 5 years, and why? Analyze your calculations and graphs. Explain the reasoning behind your choice, focusing on the impact of compounding.
Real-World Application: Research real-world examples of simple and compound interest. Find examples of loans, savings accounts, or investments that utilize each method. Present your findings with proper citations.
Reflection: Reflect on the advantages and disadvantages of each interest type. Consider factors like risk, return, and the time horizon of the investment. Which type of interest would you prefer for different investment scenarios (short-term vs. long-term)?
Upload your docx file here:
Module 1 Lesson 1 Activity Outputs
(Note: Make sure your file name will be your Section-Year-Surname-Given_Name-Module#-Lesson#-Output#, for example: [GAS11-DelaCruz-Juan-Module1-Lesson1-Output1]. Wrong file name will subject to score deduction.)
Mastered the basics of simple and compound interest? Let's put your knowledge to the test in Lesson 2!