#Calcuate a minimum monthly payment amount to clear all balance in a year using bisectional search balance = 999999 annualInterestRate = 0.18 monthlyInterestRate = annualInterestRate/12 minPayment = balance/12 maxPayment = balance * (1 + monthlyInterestRate) **12 / 12.0 while True: payment = ( minPayment + maxPayment ) /2 unpaid = balance for m in range(0,12): unpaid = ( unpaid - payment ) * (1 + annualInterestRate/12) if unpaid > 0: minPayment = payment secondTrue = False else: maxPayment = payment if maxPayment - minPayment <=0.01: break print 'Lowest Payment: '+ str( round( payment,2 ) )
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