monthlyInteresstRate = annualInterestRate/12

remainingBalance = balance
higher = (remainingBalance * (1 + monthlyInteresstRate)**12)/12
lower = remainingBalance/12
monthly_Payment = (higher + lower) / 2


start = True
while start:
    monthly_Payment = (higher + lower) / 2
    remainingBalance = balance

    for i in range(0, 12):
        monthlyInterestRate = annualInterestRate/12
        remainingBalance = (remainingBalance - monthly_Payment) * (1 + monthlyInterestRate)
        if remainingBalance <= 0:
            break


    if (higher - lower < 0.005):


        print "Lowest Payment: ", round(monthly_Payment, 2)
        for i in range(0, 12):
                monthlyInterestRate = annualInterestRate/12
                remainingBalance = (remainingBalance - monthly_Payment) * (1 + monthlyInterestRate)
                print monthlyInterestRate
                if remainingBalance <= 0:
                    break

        break
    elif balance < 0:
        higher = monthly_Payment
    else:
        lower = monthly_Payment