def bisect(balance, annualInterestRate):

    monthlyInterestRate = (annualInterestRate)/12
    lowerBound = (balance/12)
    upperBound = (balance *(1 + monthlyInterestRate)**12)/12
    newBalance = balance
    epsilon = 0.01
    monthpayment = (lowerBound + upperBound)/2.0

    while abs(monthpayment - newBalance)/2.0 >= epsilon:

        newBalance = balance

        for month in range(1,13):
            newBalance += (newBalance - monthpayment)*(1+(monthlyInterestRate))

        if  newBalance > epsilon:
            lowerBound = monthpayment
            monthpayment = (lowerBound + upperBound)/2.0
            break
        else:
            upperBound = monthpayment
            monthpayment = (lowerBound + upperBound)/2.0
            break
    print ("Lowest payment: " + str(round(monthpayment,2)))