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The problem provided relates to a pension calculation (Rentenrechnungen), specifically Aufgabe 2.4.1. Konrad Arnold deposits 750 CHF at the beginning of each year into an account that earns 2.4% interest annually. The question asks for the total amount in the account at the end of the 15th year.

This is a problem of future value of an annuity where regular deposits are made, and each deposit earns compound interest.

### Formula for Future Value of an Annuity:
\[
FV = P \times \frac{(1 + r)^n - 1}{r}
\]
Where:
- \(FV\) is the future value of the annuity.
- \(P\) is the regular payment (750 CHF).
- \(r\) is the interest rate per period (2.4% or 0.024).
- \(n\) is the number of periods (15 years).

Let me calculate the future value of these regular payments after 15 years.The total amount in Konrad Arnold's account at the end of the 15th year will be approximately **13,351.49 CHF**.

Would you like a more detailed breakdown or have any questions about the calculation? 

Here are some related questions for deeper understanding:
1. What would the total amount be if the interest rate was 3% instead of 2.4%?
2. How does the future value change if the payments are made at the end of each year instead of the beginning?
3. How does increasing the deposit amount affect the final result?
4. What is the formula for continuous compounding, and how would it affect this scenario?
5. Can this method be used for other types of investments, such as retirement plans?

**Tip:** In future value calculations, payments made at the beginning of each period (like in this problem) benefit from an extra year of interest compared to end-of-period payments.

Konrad Arnold beschliesst, immer zu Jahresbeginn 750 CHF auf ein Konto einzuzahlen, auf welchem das Guthaben mit 2.4% verzinst wird. Auf welchen Betrag wird das Guthaben am Ende des 15. Jahres angewachsen sein?

Calculate the future value of 750 CHF annual deposits with 2.4% interest compounded yearly over 15 years. Learn about the formula for future value of annuities and understand compound interest in this detailed guide.

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