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This question is about compound interest.

We are given:
- Initial capital (principal) \( P = 100,000,000 \) (in Indonesian Rupiah).
- Final amount \( A = 161,222,607.8 \) (in Rupiah).
- The time period \( t = 4 \) years.
- The interest is compounded monthly, so there are \( n = 12 \) compounding periods per year.

The formula for compound interest is:

\[
A = P \left( 1 + \frac{r}{n} \right)^{nt}
\]

Where:
- \( A \) is the final amount.
- \( P \) is the initial principal.
- \( r \) is the annual interest rate (unknown in this case).
- \( n \) is the number of times interest is compounded per year.
- \( t \) is the time in years.

We need to solve for \( r \). Rearranging the formula:

\[
r = n \left( \left( \frac{A}{P} \right)^{\frac{1}{nt}} - 1 \right)
\]

Let me calculate this for you.The annual interest rate is approximately \( 12\% \).

Would you like more details or have any further questions?

Here are 5 related questions for further practice:
1. How would the final amount change if the interest rate were 10% instead of 12%?
2. What if the interest were compounded quarterly instead of monthly? How would that affect the interest rate?
3. How much would the investment grow if it were kept for 6 years instead of 4 years at the same interest rate?
4. Can you calculate the total interest earned after 4 years?
5. How does compound interest compare to simple interest for the same conditions?

**Tip:** When solving compound interest problems, always check whether the interest is compounded monthly, quarterly, or annually—it affects the calculations significantly!

Modal sebesar Rp100.000.000,00 dibungakan dengan bunga majemuk tiap bulan selama 4 tahun. Jika modal tersebut menjadi Rp161.222.607,8, suku bunga yang diberikan adalah?

Learn how to calculate the interest rate when a capital of Rp100.000.000 grows to Rp161.222.607,8 over 4 years with monthly compounding. This problem covers key financial concepts, including the compound interest formula and exponential growth.

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