Step 1 :We are given the following values: PMT = $2000, r = 1.00% = 0.01, n = 12 (since interest is compounded monthly), and t = 2 years.
Step 2 :We can calculate the future value of an ordinary annuity using the formula: \(FV = PMT * [(1 + r/n)^(nt) - 1] / (r/n)\)
Step 3 :Substituting the given values into the formula, we get: \(FV = 2000 * [(1 + 0.01/12)^(12*2) - 1] / (0.01/12)\)
Step 4 :Solving the above expression, we find that the future value of the annuity is approximately $48,462.82
Step 5 :\(\boxed{\$48,462.82}\) is the future value of the ordinary annuity.