To find the future value of an ordinary annuity, we use the following formula:

$FV = P \times \frac{\left(1 + \frac{r}{n}\right)^{nt} - 1}{\frac{r}{n}}$

Where:

• $FV$ is the future value we want to find.
• $P$ is the payment amount per period, which is $5,000.
• $r$ is the annual interest rate, which is 9% or 0.09.
• $n$ is the number of compounding periods per year, which is 4 for quarterly compounding.
• $t$ is the number of years, which is 4 years.

Let's calculate the future value using the given values.The future value of the ordinary annuity is approximately $95,026.99.

Would you like any further details or have any questions?

Here are five related questions that might interest you:

1. How would the future value change if the payments were made monthly instead of quarterly?
2. What if the interest rate were increased to 12%?
3. How much would the future value be if the payments were $6,000 instead of $5,000?
4. What would be the future value if the annuity lasted for 5 years instead of 4?
5. How does the future value compare to the total amount of money paid into the annuity?

Tip: The future value of an annuity depends significantly on the interest rate and the frequency of compounding, so always consider these factors when planning for the future.