# Number 1 Part A
# P is the Principal Amount
# i = interest factor
# j = compound interest factor
# n is an index
# k is also an index but used for plotting
# a is used in the for loop to print out the table of values
P = 2000; i = 1.0010; j = 0; n = 1; k=1; a = 0;
m = vector(RDF,100) # This is used to store the bank account values based on index
m[0] = P;
while P<=10000:
P = (P*i) + 100; j=.0001; i = i+j;
m[n] = P;
Q = [n,m[n]];
if P>=9999:
if P<=10001:
print "Number of months until bank account reaches $10000 is:"; print "%26s"%(n);
l=n; # l is used to store the value where the bank account reaches 10,000
print "Account value at 63 months is:"; print "%20s"%(m[n]);
n=n+1;
Q = [[k, m[k]] for k in range(l+1)]
pplot= scatter_plot(Q);
pplot.show()
print "Index Amount"
for a in range (0,64):
print "%2s "%(a),; print "%16s"%(m[a])
Number of months until bank account reaches $10000 is:
63
Account value at 63 months is:
10000.3687295
Number of months until bank account reaches $10000 is:
63
Account value at 63 months is:
10000.3687295
|
Index Amount
0 2000.0
1 2102.0
2 2204.3122
3 2306.95737464
4 2409.95641923
5 2513.33035821
6 2617.10035375
7 2721.28771432
8 2825.91390343
9 2931.00054846
10 3036.5694495
11 3142.6425884
12 3249.24213783
13 3356.39047054
14 3464.11016862
15 3572.42403302
16 3681.35509311
17 3790.92661635
18 3901.16211821
19 4012.08537214
20 4123.72041972
21 4236.09158098
22 4349.22346488
23 4463.14097997
24 4577.86934521
25 4693.43410098
26 4809.86112033
27 4927.17662037
28 5045.40717386
29 5164.57972112
30 5284.72158203
31 5405.86046836
32 5528.02449628
33 5651.24219917
34 5775.54254062
35 5900.9549278
36 6027.50922498
37 6155.23576741
38 6284.16537552
39 6414.32936932
40 6545.75958323
41 6678.48838115
42 6812.54867189
43 6947.97392498
44 7084.79818679
45 7223.056097
46 7362.78290553
47 7504.0144898
48 7646.78737239
49 7791.13873915
50 7937.10645771
51 8084.72909646
52 8234.04594395
53 8385.0970288
54 8537.92314008
55 8692.56584818
56 8849.06752619
57 9007.47137186
58 9167.82143006
59 9330.16261578
60 9494.54073783
61 9661.00252299
62 9829.59564091
63 10000.3687295# Number 1 Part B
# P is the Principal Amount
# i = interest factor
# j = compound interest factor
# z is an index
# k is also an index but used for plotting
# a is used in the for loop to print out the table of values
# D is used as the deposits per month based on the requirements for part B
P = 2000; i = 1.0010; j = 0; z = 1; k=1; a = 0; D = 100;
m = vector(RDF,800)
m[0] = P;
while P<=10000:
P = (P*i) + D; j=.0001; i = i+j; D = D/2;
m[z] = P;
Q = [z,m[z]];
if P>=9999:
if P<=10200:
print "Number of months until bank account reaches $10000 is:"; print "%26s"%(z);
c = z; # c is used to store the value where the bank account reaches 10,000
print "Account value at 166 months is:"; print "%20s"%(m[z]);
z=z+1;
Q = [[k, m[k]] for k in range(c+1)]
pplot= scatter_plot(Q);
pplot.show()
print "Index Amount"
for a in range (0,c+1):
print "%2s "%(a),; print "%16s"%(m[a])
WARNING: Output truncated! full_output.txt Number of months until bank account reaches $10000 is: 166 Account value at 166 months is: 10123.1864537 WARNING: Output truncated! full_output.txt Number of months until bank account reaches $10000 is: 166 Account value at 166 months is: 10123.1864537 |
Index Amount
0 2000.0
1 2102.0
2 2154.3122
3 2181.89737464
4 2197.23384123
5 2206.5599686
6 2212.99480856
7 2218.09810025
8 2222.65011702
9 2227.04151223
10 2231.46820361
11 2236.02879626
12 2240.77328486
13 2245.72740015
14 2250.9047802
15 2256.31305519
16 2261.95688958
17 2267.83950338
18 2273.96343298
19 2280.33091206
20 2286.94406244
21 2293.80498999
22 2300.91583314
23 2308.27878765
24 2315.89611957
25 2323.77017234
26 2331.90337092
27 2340.29822455
28 2348.95732872
29 2357.88336695
30 2367.07911226
31 2376.54742881
32 2386.29127331
33 2396.31369668
34 2406.61784559
35 2417.20696412
36 2428.08439546
37 2439.25358368
38 2450.71807552
39 2462.48152228
40 2474.54768174
41 2486.92042015
42 2499.60371429
43 2512.60165361
44 2525.91844237
45 2539.55840196
46 2553.52597317
47 2567.82571862
48 2582.46232522
49 2597.44060671
50 2612.76550628
51 2628.44209932
52 2644.47559613
...
107 4304.83695692
108 4355.20354931
109 4406.5949512
110 4459.03343112
111 4512.54183229
112 4567.14358846
113 4622.86274024
114 4679.72395194
115 4737.75252895
116 4796.97443556
117 4857.41631345
118 4919.10550063
119 4982.07005104
120 5046.33875469
121 5111.94115851
122 5178.90758768
123 5247.26916784
124 5317.05784777
125 5388.30642293
126 5461.04855964
127 5535.31882005
128 5611.15268789
129 5688.58659498
130 5767.65794865
131 5848.40515993
132 5930.86767269
133 6015.08599364
134 6101.10172335
135 6188.95758816
136 6278.69747319
137 6370.3664563
138 6464.01084321
139 6559.67820369
140 6657.41740892
141 6757.27867006
142 6859.31357797
143 6963.57514436
144 7070.11784407
145 7178.99765887
146 7290.27212258
147 7404.00036769
148 7520.24317346
149 7639.0630156
150 7760.52411755
151 7884.69250343
152 8011.63605274
153 8141.42455679
154 8274.12977707
155 8409.82550541
156 8548.58762625
157 8690.49418085
158 8835.62543367
159 8984.06394095
160 9135.89462156
161 9291.20483012
162 9450.08443272
163 9612.62588496
164 9778.92431277
165 9949.07759581
166 10123.1864537# Number 1 Part C
# P is the Principal Amount
# i = interest factor
# j = compound interest factor
# x is an index
# k is also an index but used for plotting
# a is used in the for loop to print out the table of values
# D is used as the deposits per month based on the requirements for part C
# R is used as a factor affecting D based on the requirements for part C
P = 2000; i = 1.0010; j = 0; x = 1; k=1; a = 0; D = 100; R = 100;
m = vector(RDF,800)
m[0] = P;
while P<=10000:
P = (P*(i)) + D; j=.0001; i = i+j; R = R/2; D=D+R;
m[x] = P;
Q = [x,m[x]];
if P>=9999:
if P<=10200:
print "Number of months until bank account reaches $10000 is:"; print "%26s"%(x);
v = x; # v is used to store the value where the bank account reaches 10,000
print "Account value at 38 months is:"; print "%20s"%(m[x]);
x=x+1;
Q = [[k, m[k]] for k in range(v+1)]
pplot= scatter_plot(Q);
pplot.show()
print "Index Amount"
for a in range (0,v+1):
print "%2s "%(a),; print "%16s"%(m[a])
Number of months until bank account reaches $10000 is:
38
Account value at 38 months is:
10117.6126755
Number of months until bank account reaches $10000 is:
38
Account value at 38 months is:
10117.6126755
|
Index Amount
0 2000.0
1 2102.0
2 2254.3122
3 2432.01737464
4 2622.67899723
5 2820.10074782
6 3021.20589894
7 3224.47732838
8 3429.17768984
9 3634.95958468
10 3841.67069539
11 4049.25638053
12 4257.71099081
13 4467.05354093
14 4677.31555704
15 4888.53501086
16 5100.75329663
17 5314.01372932
18 5528.36080345
19 5743.83983223
20 5960.49677701
21 6178.37817197
22 6397.53109662
23 6618.00317229
24 6839.84257084
25 7063.09802962
26 7287.81886974
27 7514.05501618
28 7741.857019
29 7971.2760753
30 8202.3640518
31 8435.17350792
32 8669.75771925
33 8906.17070165
34 9144.46723566
35 9384.70289149
36 9626.9340545
37 9871.21795115
38 10117.6126755# Number 2 part 1
# P is defined to store all of the values of P
n = 0;
P = vector(RDF, 19); P[0] = 25.7; P[1] = 18.5; P[2] = 14.3; P[3] = 12.2; P[4] = 11.1; P[5] = 9.5; P[6] = 9.1; P[7] = 8.5; P[8] = 8.1; P[9] = 7.5; P[10] = 7.4;
print "First Plot";
Q = [ [ P[n],P[n+1] ] for n in range(0,10) ]
pplot= scatter_plot(Q);
pplot.show()
First Plot First Plot |
# Number 2 part 2
# r and k are estimates to make the second graph look like the first
print "Plot with empirical values r and k";
r = (.68);
k = 1;
W = [ [ P[n],r*P[n]+k ] for n in range(0,10) ]
pplot= scatter_plot(W);
pplot.show()
Plot with empirical values r and k Plot with empirical values r and k |
#This project was done by Alyssa Carmusciano, Rui Zhang, and Hassan Jalalluddin. It was a collaborative effort, as all three of us members worked together on each problem.
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