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This document presents a model for calculating savings over time based on assumptions about savings rate (r), investment return (k), and initial savings (S0). It shows how to derive a differential equation to model savings (S) as a function of time (t), and solves this equation. The model is then extended to calculate the number of years needed to save a fraction (f) of income before having enough savings to retire and withdraw a fraction (w) of savings per year. Graphs show predicted savings over time for

Author

Anonymous UjJx7WV

Language

EN