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The problem describes a situation where Adrian Mahesa deposits Rp1,000,000.00 at the end of each year into a bank account for 20 years. The bank offers 4% compound interest per year. We are asked to calculate the total amount in the account after 20 years.

This is a typical future value (FV) problem involving compound interest with regular annual payments (an annuity). The formula for the future value of an annuity compounded annually is:

\[
FV = P \times \frac{(1 + r)^n - 1}{r}
\]

Where:
- \(FV\) is the future value,
- \(P\) is the annual deposit (Rp1,000,000),
- \(r\) is the annual interest rate (4% or 0.04),
- \(n\) is the number of years (20).

Let me calculate the future value for you.The total amount of Adrian Mahesa's savings in the bank after 20 years, given an annual deposit of Rp1,000,000 and 4% compound interest, will be approximately **Rp29,778,078.58**.

Do you have any questions, or would you like further details?

Here are 5 related questions:
1. How would the total amount change if the interest rate were 5% instead of 4%?
2. What happens if the deposits are made at the beginning of each year instead of the end?
3. How much interest is earned alone (without the principal)?
4. How is compound interest different from simple interest in such savings?
5. What if Adrian Mahesa decided to withdraw after 10 years? What would his total savings be?

**Tip:** The frequency of compounding (monthly, yearly, etc.) can significantly affect the growth of savings or investments!

Setiap akhir tahun, Adrian Mahesa menyimpan uang di sebuah bank sebesar Rp1.000.000,00 selama 20 tahun. Jika bank tersebut memberikan bunga majemuk 4% per tahun, maka jumlah simpanan Adrian Mahesa di bank tersebut adalah ....

Learn how to calculate the future value of Adrian Mahesa's savings, deposited annually at Rp1,000,000 with 4% compound interest for 20 years. This problem demonstrates the power of compound interest in an annuity savings plan, using the formula FV = P × [(1 + r)^n - 1] / r.

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