Managing Your Money  

This model shows the relationship between earnings, compound interest, and expenditures. By manipulating the various parameters, the user can see how to manage money to achieve long-term goals. It is important to note that all values are set to a weekly time scale. The runs shown below demonstrate that even if your allowance increases from $10 a week to $30 a week, if you continue to spend a certain percentage of your money weekly (in this case, 50%), the value of your money will plateau at the point where your income and expenditures are equal.

THE MODELS
Vensim Version STELLA Version
[Diagram Level | Equations Level | Graphs ]



money(t) = money(t - dt) + (weekly_allowance + interest
            - discretionary_weekly_expenditures - fixed_weekly_expenses) * dt
INIT money = 0
weekly_allowance = 10
interest = weekly_interest_rate*money
discretionary_weekly_expenditures = .5*(money-fixed_weekly_expenses)
fixed_weekly_expenses = 0
annual_interest_rate = .03
weekly_interest_rate = annual_interest_rate/52

Time Specs
Range: 0 - 12; dT = 1, Integration Method = Euler's
Sensi Specs
Run #1: Weekly Allowance = 10
Run #2: Weekly Allowance = 20
Run #3: Weekly Allowance = 30

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