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This problem asks us to calculate the interest rate for a loan under compound interest.

The formula for compound interest is:

\[
A = P (1 + r)^t
\]

Where:
- \( A \) is the amount received at the end, which is **S/ 52,488**.
- \( P \) is the principal or the initial amount, which is **S/ 45,000**.
- \( r \) is the interest rate (which we need to find).
- \( t \) is the time period in years, which is **2 years**.

Let's plug in the values to solve for \( r \). I'll calculate this now.The interest rate \( r \) is calculated to be \( \frac{2}{25} \), which is equivalent to:

\[
r = 0.08 \text{ or } 8\%
\]

Thus, the compound interest rate is **8%** per year.

Would you like more details on this solution or any further clarifications?

Here are 5 related questions for deeper understanding:
1. How would the interest rate change if the time period were 3 years instead of 2?
2. What is the formula for compound interest when compounded more frequently (e.g., quarterly)?
3. How does compound interest differ from simple interest?
4. How can we calculate the future value if we know the interest rate and principal amount?
5. How would you find the time period required to reach a certain amount at a fixed interest rate?

**Tip:** Compound interest grows faster than simple interest because it adds interest on top of the interest already earned.

Se prestan s/ 45 000 con interés compuesto y al cabo de 2 años se reciben s/ 52 488. Calcular la tasa de interés.

Resuelve cómo calcular la tasa de interés compuesto para un préstamo de S/ 45,000 que, después de 2 años, genera S/ 52,488. Esta solución utiliza la fórmula de interés compuesto A = P (1 + r)^t para determinar la tasa.

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