System Constants
Start Levels -5 US$
-10 US$
0 US$
5 US$
10 US$
Interest Percentage 100 US$/US$/year
Solution Interval (dt) 1 year
System Equations
Bank Account (US$) = Bank Account (US$) + Interest Payment Rate (US$/year) * dt (year)
Interest Payment Rate (US$/period) = Level (US$) * Interest Percentage (US$/US$/year)
Time Start Level Inflow Rate End Level Time
(years) (US$) (US$/year) (US$) (years)
0 -5.00 -5.00 -10.00 0
1 -10.00 -10.00 -20.00 1
2 -20.00 -20.00 -40.00 2
3 -40.00 -40.00 -80.00 3
4 -80.00 -80.00 -160.00 4
5 -160.00 -160.00 -320.00 5
6 -320.00 -320.00 -640.00 6
7 -640.00 -640.00 -1,280.00 7
8 -1,280.00 -1,280.00 -2,560.00 8
9 -2,560.00 -2,560.00 -5,120.00 9
10 -5,120.00 -5,120.00 -10,240.00 10
11 -10,240.00 -10,240.00 -20,480.00 11
12 -20,480.00 -20,480.00 -40,960.00 12
13 -40,960.00 -40,960.00 -81,920.00 13
14 -81,920.00 -81,920.00 -163,840.00 14
15 -163,840.00 -163,840.00 -327,680.00 15
16 -327,680.00 -327,680.00 -655,360.00 16
17 -655,360.00 -655,360.00 -1,310,720.00 17
18 -1,310,720.00 -1,310,720.00 -2,621,440.00 18
19 -2,621,440.00 -2,621,440.00 -5,242,880.00 19
20 -5,242,880.00 -5,242,880.00 -10,485,760.00 20
Time Start Level Inflow Rate End Level Time
(years) (US$) (US$/year) (US$) (years)
0 0.0 0.00 0.00 0
1 0.00 0.00 0.00 1
2 0.00 0.00 0.00 2
3 0.00 0.00 0.00 3
4 0.00 0.00 0.00 4
5 0.00 0.00 0.00 5
6 0.00 0.00 0.00 6
7 0.00 0.00 0.00 7
8 0.00 0.00 0.00 8
9 0.00 0.00 0.00 9
10 0.00 0.00 0.00 10
11 0.00 0.00 0.00 11
12 0.00 0.00 0.00 12
13 0.00 0.00 0.00 13
14 0.00 0.00 0.00 14
15 0.00 0.00 0.00 15
16 0.00 0.00 0.00 16
17 0.00 0.00 0.00 17
18 0.00 0.00 0.00 18
19 0.00 0.00 0.00 19
20 0.00 0.00 0.00 20
Time Start Level Inflow Rate End Level
(years) (US$) (US$/year) (US$)
0 10.00 10.00 20.00
1 20.00 20.00 40.00
2 40.00 40.00 80.00
3 80.00 80.00 160.00
4 160.00 160.00 320.00
5 320.00 320.00 640.00
6 640.00 640.00 1,280.00
7 1,280.00 1,280.00 2,560.00
8 2,560.00 2,560.00 5,120.00
9 5,120.00 5,120.00 10,240.00
10 10,240.00 10,240.00 20,480.00
11 20,480.00 20,480.00 40,960.00
12 40,960.00 40,960.00 81,920.00
13 81,920.00 81,920.00 163,840.00
14 163,840.00 163,840.00 327,680.00
15 327,680.00 327,680.00 655,360.00
16 655,360.00 655,360.00 1,310,720.00
17 1,310,720.00 1,310,720.00 2,621,440.00
18 2,621,440.00 2,621,440.00 5,242,880.00
19 5,242,880.00 5,242,880.00 10,485,760.00
20 10,485,760.00 10,485,760.00 20,971,520.00
Start Level Inflow Rate End Level
(US$) (US$/year) (US$)
-10.00 -10.00 -20.00
Initial Value = -5
-20.00 -20.00 -40.00
8,000.00
-40.00 -40.00 -80.00
-80.00 -80.00 -160.00
-160.00 -160.00 -320.00 4,000.00
Level (US$)
-320.00 -320.00 -640.00
-640.00 -640.00 -1,280.00 0.00
0.00
-1,280.00 -1,280.00 -2,560.00
-2,560.00 -2,560.00 -5,120.00 -4,000.00
-5,120.00 -5,120.00 -10,240.00
-10,240.00 -10,240.00 -20,480.00
-8,000.00
-20,480.00 -20,480.00 -40,960.00
-40,960.00 -40,960.00 -81,920.00
-81,920.00 -81,920.00 -163,840.00
-163,840.00 -163,840.00 -327,680.00
-327,680.00 -327,680.00 -655,360.00
-655,360.00 -655,360.00 -1,310,720.00
-1,310,720.00 -1,310,720.00 -2,621,440.00
-2,621,440.00 -2,621,440.00 -5,242,880.00
-5,242,880.00 -5,242,880.00 -10,485,760.00
-10,485,760.00 -10,485,760.00 -20,971,520.00
Start Level Inflow Rate End Level
(US$) (US$/year) (US$)
5.00 5.00 10.00
10.00 10.00 20.00
20.00 20.00 40.00
40.00 40.00 80.00
80.00 80.00 160.00
160.00 160.00 320.00
320.00 320.00 640.00
640.00 640.00 1,280.00
1,280.00 1,280.00 2,560.00
2,560.00 2,560.00 5,120.00
5,120.00 5,120.00 10,240.00
10,240.00 10,240.00 20,480.00
20,480.00 20,480.00 40,960.00
40,960.00 40,960.00 81,920.00
81,920.00 81,920.00 163,840.00
163,840.00 163,840.00 327,680.00
327,680.00 327,680.00 655,360.00
655,360.00 655,360.00 1,310,720.00
1,310,720.00 1,310,720.00 2,621,440.00
2,621,440.00 2,621,440.00 5,242,880.00
5,242,880.00 5,242,880.00 10,485,760.00
Positive Feedback - Different Initial Conditions
Initial Value = -10 Initial Value = 0 Initial Value = 5 Initial Value = 10
2.00 4.00 6.00 8.00 10.00 12.00
Years