$\$ 500\left[\frac{\left(1+\left\{\left(1+\frac{0.07}{2}\right)^{4 / 2}-1\right\}\right)-1}{\left(1+\frac{0.07}{2}\right)^{4 / 2}-1}\right\}$

Step 1 ：First, simplify the innermost parentheses, which is \(\left(1+\frac{0.07}{2}\right)^{4 / 2}-1\). This involves addition, division, and exponentiation, and the result is approximately 0.07122499999999987.

Step 2 ：Then, use the result to simplify the outer parentheses, which is \(\left(1+\left\{\left(1+\frac{0.07}{2}\right)^{4 / 2}-1\right\}\right)-1\). This involves addition and subtraction, and the result is also approximately 0.07122499999999987.

Step 3 ：Finally, divide 500 by the result from the previous step to get the final answer. The final answer is approximately 7020.007020007032.

Step 4 ：Final Answer: \(\boxed{7020.007020007032}\)