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"""
1+
"""
2-
Problem #1
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Problem #1
3-
"""
3+
"""
4-
4+
5-
balance = 42
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balance = 42

6-
annualInterestRate = 0.2
6+
annualInterestRate = 0.2

7-
monthlyPaymentRate = 0.04
7+
monthlyPaymentRate = 0.04

8-
8+
9-
def cc_12mo_bal(balance, annualInterestRate, monthlyPaymentRate):
9+
def cc_12mo_bal(balance, annualInterestRate, monthlyPaymentRate):

10-
    """
10+
    """

11-
    
11+
    

12-
    Write a program to calculate the credit card balance after
12+
    Write a program to calculate the credit card balance after

13-
    one year if a person only pays the minimum monthly
13+
    one year if a person only pays the minimum monthly

14-
    payment required by the credit card company each month.
14+
    payment required by the credit card company each month.

15-
    
15+
    

16-
    """
16+
    """

17-
    Monthly_Int_Rate = annualInterestRate / 12
17+
    Monthly_Int_Rate = annualInterestRate / 12

18-
    Min_Monthly_Pmt = monthlyPaymentRate * balance
18+
    Min_Monthly_Pmt = monthlyPaymentRate * balance

19-
    Monthly_Unpaid_Bal = balance - Min_Monthly_Pmt
19+
    Monthly_Unpaid_Bal = balance - Min_Monthly_Pmt

20-
    Updated_bal = Monthly_Unpaid_Bal + (Monthly_Int_Rate * Monthly_Unpaid_Bal)
20+
    Updated_bal = Monthly_Unpaid_Bal + (Monthly_Int_Rate * Monthly_Unpaid_Bal)

21-
    if hasattr(cc_12mo_bal, "count"):
21+
    if hasattr(cc_12mo_bal, "count"):

22-
        cc_12mo_bal.count += 1
22+
        cc_12mo_bal.count += 1

23-
    else:
23+
    else:

24-
        cc_12mo_bal.count = 1
24+
        cc_12mo_bal.count = 1

25-
    if cc_12mo_bal.count == 12:
25+
    if cc_12mo_bal.count == 12:

26-
        return print("Remaining balance: " + str(round(Updated_bal, 2)))
26+
        return print("Remaining balance: " + str(round(Updated_bal, 2)))

27-
    else:
27+
    else:

28-
        return cc_12mo_bal(Updated_bal, annualInterestRate, monthlyPaymentRate)
28+
        return cc_12mo_bal(Updated_bal, annualInterestRate, monthlyPaymentRate)

29-
29+
30-
cc_12mo_bal(balance, annualInterestRate, monthlyPaymentRate)
30+
cc_12mo_bal(balance, annualInterestRate, monthlyPaymentRate)

31-
31+
32-
"""
32+
"""

33-
Problem #2
33+
Problem #2

34-
"""
34+
"""

35-
35+
36-
def cc_12mo_payoff(balance, annualInterestRate, \
36+
def cc_12mo_payoff(balance, annualInterestRate, \

37-
                   increment = 10, epsilon = 10, \
37+
                   increment = 10, epsilon = 10, \

38-
                   guess = 10, \
38+
                   guess = 10, \

39-
                   num_guesses = 12):
39+
                   num_guesses = 12):

40-
    """
40+
    """

41-
    
41+
    

42-
    Write a program that calculates the minimum fixed monthly payment 
42+
    Write a program that calculates the minimum fixed monthly payment 

43-
    needed in order pay off a credit card balance within 12 months. 
43+
    needed in order pay off a credit card balance within 12 months. 

44-
    By a fixed monthly payment, we mean a single number which does 
44+
    By a fixed monthly payment, we mean a single number which does 

45-
    not change each month, but instead is a constant amount that will 
45+
    not change each month, but instead is a constant amount that will 

46-
    be paid each month.
46+
    be paid each month.

47-
    
47+
    

48-
    """
48+
    """

49-
49+
50-
    def pmt_trial(balance, annualInterestRate, num_guesses, \
50+
    def pmt_trial(balance, annualInterestRate, num_guesses, \

51-
                  guess = round((balance*(1+annualInterestRate/12)**12)*.0833333,-1)):
51+
                  guess = round((balance*(1+annualInterestRate/12)**12)*.0833333,-1)):

52-
        Monthly_Int_Rate = annualInterestRate / 12
52+
        Monthly_Int_Rate = annualInterestRate / 12

53-
        Monthly_Unpaid_Bal = balance - guess
53+
        Monthly_Unpaid_Bal = balance - guess

54-
        Updated_bal = Monthly_Unpaid_Bal + (Monthly_Int_Rate * Monthly_Unpaid_Bal)
54+
        Updated_bal = Monthly_Unpaid_Bal + (Monthly_Int_Rate * Monthly_Unpaid_Bal)

55-
        if num_guesses == 1:
55+
        if num_guesses == 1:

56-
            return Updated_bal
56+
            return Updated_bal

57-
        else:
57+
        else:

58-
            return pmt_trial(Updated_bal, annualInterestRate, num_guesses - 1, guess)
58+
            return pmt_trial(Updated_bal, annualInterestRate, num_guesses - 1, guess)

59-
    
59+
    

60-
    Updated_bal = pmt_trial(balance, annualInterestRate, num_guesses, guess)
60+
    Updated_bal = pmt_trial(balance, annualInterestRate, num_guesses, guess)

61-
    
61+
    

62-
    if Updated_bal <= 0:
62+
    if Updated_bal <= 0:

63-
        print("Lowest Payment: " + str(guess))
63+
        print("Lowest Payment: " + str(guess))

64-
    else:
64+
    else:

65-
        return cc_12mo_payoff(balance, annualInterestRate, guess = guess + increment)
65+
        return cc_12mo_payoff(balance, annualInterestRate, guess = guess + increment)

66-
66+
67-
cc_12mo_payoff(balance, annualInterestRate)
67+
cc_12mo_payoff(balance, annualInterestRate)

68-
68+
69-
69+
70-
"""
70+
"""

71-
Problem #3
71+
Problem #3

72-
"""
72+
"""

73-
73+
74-
def cc_12mo_payoff(balance, annualInterestRate, lower_bound = 0, \
74+
def cc_12mo_payoff(balance, annualInterestRate, lower_bound = 0, \

75-
                   upper_bound = 0, guess = 10, num_guesses = 12, epsilon = .01):
75+
                   upper_bound = 0, guess = 10, num_guesses = 12, epsilon = .01):

76-
    """
76+
    """

77-
    
77+
    

78-
    Write a program that uses these bounds and bisection search (for more info
78+
    Write a program that uses these bounds and bisection search (for more info

79-
    check out the Wikipedia page on bisection search) to find the smallest 
79+
    check out the Wikipedia page on bisection search) to find the smallest 

80-
    monthly payment to the cent (no more multiples of $10) such that we can 
80+
    monthly payment to the cent (no more multiples of $10) such that we can 

81-
    pay off the debt within a year. Try it out with large inputs, and notice 
81+
    pay off the debt within a year. Try it out with large inputs, and notice 

82-
    how fast it is (try the same large inputs in your solution to Problem 2 to
82+
    how fast it is (try the same large inputs in your solution to Problem 2 to

83-
    compare!). Produce the same return value as you did in Problem 2.
83+
    compare!). Produce the same return value as you did in Problem 2.

84-
84+
85-
    """
85+
    """

86-
    Monthly_Int_Rate = annualInterestRate / 12
86+
    Monthly_Int_Rate = annualInterestRate / 12

87-
    
87+
    

88-
    if lower_bound == 0 and upper_bound == 0:
88+
    if lower_bound == 0 and upper_bound == 0:

89-
        lower_bound = balance / 12
89+
        lower_bound = balance / 12

90-
        upper_bound = balance * ((1+Monthly_Int_Rate)**12)/12.0
90+
        upper_bound = balance * ((1+Monthly_Int_Rate)**12)/12.0

91-
        guess = (upper_bound + lower_bound) / 2
91+
        guess = (upper_bound + lower_bound) / 2

92-
    else:
92+
    else:

93-
        guess = (upper_bound + lower_bound) / 2
93+
        guess = (upper_bound + lower_bound) / 2

94-
        
94+
        

95-
    def pmt_trial(balance, annualInterestRate, num_guesses, guess):
95+
    def pmt_trial(balance, annualInterestRate, num_guesses, guess):

96-
        Monthly_Unpaid_Bal = balance - guess
96+
        Monthly_Unpaid_Bal = balance - guess

97-
        Updated_bal = Monthly_Unpaid_Bal + \
97+
        Updated_bal = Monthly_Unpaid_Bal + \

98-
        (Monthly_Int_Rate * Monthly_Unpaid_Bal)
98+
        (Monthly_Int_Rate * Monthly_Unpaid_Bal)

99-
        if num_guesses == 1:
99+
        if num_guesses == 1:

100-
            return Updated_bal
100+
            return Updated_bal

101-
        else:
101+
        else:

102-
            return pmt_trial(Updated_bal, annualInterestRate, \
102+
            return pmt_trial(Updated_bal, annualInterestRate, \

103-
                             num_guesses - 1, guess)
103+
                             num_guesses - 1, guess)

104-
    
104+
    

105-
    Updated_bal = pmt_trial(balance, annualInterestRate, num_guesses, guess)
105+
    Updated_bal = pmt_trial(balance, annualInterestRate, num_guesses, guess)

106-
    
106+
    

107-
    if Updated_bal <= 0 and Updated_bal >= -0.01:
107+
    if Updated_bal <= 0 and Updated_bal >= -0.01:

108-
        print("Lowest Payment: " + str(round(guess,2)))
108+
        print("Lowest Payment: " + str(round(guess,2)))

109-
    elif Updated_bal > 0:
109+
    elif Updated_bal > 0:

110-
        return cc_12mo_payoff(balance, annualInterestRate, 
110+
        return cc_12mo_payoff(balance, annualInterestRate, 

111-
                              lower_bound = guess, upper_bound = upper_bound)
111+
                              lower_bound = guess, upper_bound = upper_bound)

112-
    else:
112+
    else:

113-
        return cc_12mo_payoff(balance, annualInterestRate, \
113+
        return cc_12mo_payoff(balance, annualInterestRate, \

114-
                              lower_bound = lower_bound, upper_bound = guess)
114+
                              lower_bound = lower_bound, upper_bound = guess)

115-
115+
116
cc_12mo_payoff(999999, 0.18)
        

    


            


                                


        

            



                
    

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