diff --git a/financial/present_value.py b/financial/present_value.py new file mode 100644 index 000000000..dc8191a6e --- /dev/null +++ b/financial/present_value.py @@ -0,0 +1,41 @@ +""" +Reference: https://www.investopedia.com/terms/p/presentvalue.asp + +An algorithm that calculates the present value of a stream of yearly cash flows given... +1. The discount rate (as a decimal, not a percent) +2. An array of cash flows, with the index of the cash flow being the associated year + +Note: This algorithm assumes that cash flows are paid at the end of the specified year + + +def present_value(discount_rate: float, cash_flows: list[float]) -> float: + """ + >>> present_value(0.13, [10, 20.70, -293, 297]) + 4.69 + >>> present_value(0.07, [-109129.39, 30923.23, 15098.93, 29734,39]) + -42739.63 + >>> present_value(0.07, [109129.39, 30923.23, 15098.93, 29734,39]) + 175519.15 + >>> present_value(-1, [109129.39, 30923.23, 15098.93, 29734,39]) + Traceback (most recent call last): + ... + ValueError: Discount rate cannot be negative + >>> present_value(0.03, []) + Traceback (most recent call last): + ... + ValueError: Cash flows list cannot be empty + """ + if discount_rate < 0: + raise ValueError("Discount rate cannot be negative") + if not cash_flows: + raise ValueError("Cash flows list cannot be empty") + present_value = sum( + cash_flow / ((1 + discount_rate) ** i) for i, cash_flow in enumerate(cash_flows) + ) + return round(present_value, ndigits=2) + + +if __name__ == "__main__": + import doctest + + doctest.testmod()