If a stock fund purchased with 100 thousand liras grows with a compound growth of 0.30% every day, what will be the value of this fund after 10 years? https://math.bot/

To calculate the value of the stock fund after 10 years, given that it grows by 0.30% daily through compound growth, we use the formula for compound interest:

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

Where:
- \( A \) is the amount of money accumulated after \( t \) years, including interest.
- \( P \) is the principal amount (initial investment).
- \( r \) is the daily growth rate (as a decimal).
- \( n \) is the number of times the interest is compounded per year.
- \( t \) is the number of years.

In this case:
- \( P = 100,000 \) Liras.
- \( r = 0.30\% = 0.003 \) (daily growth rate).
- \( n = 365 \) (compounded daily).
- \( t = 10 \) years.

Let's calculate this step by step.

\[
A = 100,000 \left(1 + \frac{0.003}{1}\right)^{365 \times 10}
\]

I'll calculate the result.The value of the stock fund after 10 years, with a daily compound growth rate of 0.30%, would be approximately **5,602,805,219 Liras**.

Would you like a detailed breakdown of the steps, or do you have any questions?

Here are some related questions for deeper understanding:

1. What happens if the growth rate is compounded monthly instead of daily?
2. How would the value change if the growth rate were 0.25% per day?
3. What if the investment period were 5 years instead of 10 years?
4. How can we compare this result with a stock fund that grows annually at 10%?
5. What if an additional 100,000 Liras were invested every year?

**Tip:** Small changes in the growth rate can significantly impact long-term compound growth, especially over several years!

If a stock fund purchased with 100 thousand liras grows with a compound growth of 0.30% every day, what will be the value of this fund after 10 years?

Calculate the future value of a stock fund after 10 years with daily compound growth at 0.30%. Using the compound interest formula, this problem helps you explore exponential growth and investment calculations, starting from an initial amount of 100,000 Liras.

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