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financial/get_ordinary_annuity_future_value.py
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financial/get_ordinary_annuity_future_value.py
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"""
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An ordinary annuity means making or requiring payments at the end
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of each term during a given period.
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For example, if the given period is 3 terms long and the payment
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for each term is $1000, then the cash flow is as follows:
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0: no payment --- 1: $1000 --- 2: $1000 --- 3: $1000
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The function, get_ordinary_annuity_future_value, calculates the future value of
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the given ordinary annuity. In the example above, the function should return
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the sum of each payment's future value at the end of term 3,
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which means the sum is returned as soon as the last payment is made.
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More info on: https://www.investopedia.com/retirement/calculating-present-and-future-value-of-annuities
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This function can help to understand how much you will receive
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if you make a regular deposit at the end of each term
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for saving with a fix period and interest rate.
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"""
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def get_ordinary_annuity_future_value(
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term_payment: float, number_of_payments: int, term_interest_rate: float
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) -> float:
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"""
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Calculate the future value of the given ordinary annuity
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:param term_payment: payment made at the end of each term
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:param number_of_payments: the number of payments
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:param term_interest_rate: the interest rate for each term
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:return: the future value (maturity value) of the given ordinary annuity
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Examples:
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>>> round(get_ordinary_annuity_future_value(500, 10, 0.05), 2)
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6288.95
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>>> round(get_ordinary_annuity_future_value(1000, 10, 0.05), 2)
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12577.89
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>>> round(get_ordinary_annuity_future_value(1000, 10, 0.10), 2)
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15937.42
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>>> round(get_ordinary_annuity_future_value(1000, 20, 0.10), 2)
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57275.0
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"""
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annuity_factor = (
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((1 + term_interest_rate) ** number_of_payments) - 1
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) / term_interest_rate
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future_value = term_payment * annuity_factor
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return future_value
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if __name__ == "__main__":
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user_input_amount = float(input("How much money will be deposited each term?\n> "))
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user_input_payment_number = int(input("How many payments will be made?\n> "))
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term_interest_rate = float(input("What is the interest rate per term?\n> "))
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print(
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get_ordinary_annuity_future_value(
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user_input_amount, user_input_payment_number, term_interest_rate
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)
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)
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