Answer:
The balance of the account on July 1, 2037 will be $677,846.38.
Explanation:
Since the withdrawals are made the beginning of each month, the relevant formula to use is the formula for calculating the Future Value (FV) of an Annuity Due is employed as follows:
FV = M * (((1 + r)^n - 1) / r) * (1 + r) ................................. (1)
Where,
FV = Future value or the balance of the account on July 1, 2037 =?
M = Monthly withdrawal = $300
r = Monthly interest rate = nominal interest rate / 12 = 10% / 12 = 0.10 / 12 = 0.00833333333333333
n = Number of months from August 1, 2007 to July 1, 2037 = 359
Substituting the values into equation (1), we have:
FV = $300 * (((1 + 0.00833333333333333)^359 - 1) / 0.00833333333333333) * (1 + 0.00833333333333333)
FV = $300 * 2,240.81447087212 * 1.00833333333333333
FV = $677,846.38
Therefore, the balance of the account on July 1, 2037 will be $677,846.38.
