financial_math

Usage example:

The code below creates an InterestRate object that represents a 3% interest rate compounded annually, applicable from t=0. It also creates an object of Contribution that represents an investment deposit of 300 at time t=3. The contribution.accumulate(10, [int_rate]) calculates the accumulated value of that investment at t=10 (which means 7 years of growth), using scenario with interest rates [int_rate].

import actuarydesk.financial_math as fm

int_rate = fm.InterestRate(0, 0.03, "annual")
contribution = fm.Contribution(3, 300)
contribution.accumulate(10, [int_rate])

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The code below accumulates an investment of 300 made at time t=3 up to time t=10 with scenario of variable interest rate. From time interval [0, 4) the applicable interest rate is 3% compounded annually, from time [4, 5) the applicable interest rate is 2.5% compounded annually, from time t=5 until forever, the applicable rate is a 1% discount rate compounded quarterly.

*If there are two or more interest rates with same time point, then the one with smallest index in the list will be used.

import actuarydesk.financial_math as fm

int1 = fm.InterestRate(0, 0.03, "annual")
int2 = fm.InterestRate(4, 0.025, "annual")
int3 = fm.InterestRate(5, 0.01, "quarter", discount=True)

contribution = fm.Contribution(3, 300)
contribution.accumulate(10, [int1, int2, int3])