# TVM

Document Sample

```					                              TIME VALUE OF MONEY

A           B       C                     D             E         F            G
1   FUTURE AND PRESENT VALUE FACTORS
2
3
4   Interest rate                           10%
5   Present value                         1,000
6
7                           First of               End of    % of
8                            Year                   Year     Initial
9           Year            Balance    Interest   Balance Investment
10
11             1                1,000        100      1,100          110%
12             2                1,100        110      1,210          121%
13             3                1,210        121      1,331          133%
14             4                1,331        133      1,464          146%
15
16
17   % of Initial Investment ( Future Value Factor ) = ( 1 + Interest Rate ) ^ # of Years
18
19   Present Value Factor = 1 / ( 1 + Interest Rate ) ^ # of Years

Page 1
TIME VALUE OF MONEY

A          B                  C            D           E          F          G
1   AMORTIZATON TABLE
2
3
4   The following amortization table shows the link between the present value (amount
5   borrowed), cash flow (payment) and discount rate (interest rate) on a five-year loan.
6
7
8   Interest rate              10%
9   Payment                  1,000
10   Amount borrowed          3,791
11
12                        Beginning      Plus         Less       Ending
13          Year           Balance     Interest     Payment      Balance
14
15            1               3,791           379      (1,000)      3,170
16            2               3,170           317      (1,000)      2,487
17            3               2,487           249      (1,000)      1,736
18            4               1,736           174      (1,000)        909
19            5                 909            91      (1,000)          0

Page 2
TIME VALUE OF MONEY

A             B          C         D          E         F          G         H
1 PRESENT VALUE CALCULATION
2
3
4 The following shows how to calculate the present value as the sum of the present values
5 of the cash flows.
6
7 Interest rate             10%
8 Payment                 1,000
9
10 Year                         0          1          2          3         4          5
11
12 Payment                            1,000      1,000      1,000     1,000      1,000
13 Present value factor     100%        91%        83%        75%       68%        62%
14 PV of payment                        909        826        751       683        621
15 PV of all payments      3,791

Page 3
TIME VALUE OF MONEY

A                B          C          D         E          F         G       H
2
3 Given the number of periods (or number of payments), any two of the following determine
4 the third: present value, cash flow, discount rate. Be careful about the signs!
5
6 1. The present value is computed as PV(interest rate, # of periods, cash flow).
7
8 Discount rate                  10%
9 Number of periods                 5
10 Cash flow                    1,000
11 Present value               (3,791)
12
13
14 2. The present value can also be computed as NPV(interest rate, series of cash flows).
15
16 Year                              0          1         2          3         4         5
17
18 Cash flow                               1,000     1,000      1,000     1,000     1,000
19 PV of cash flows             3,791
20
21
22 3. The cash flow is computed as PMT(discount rate, # of periods, present value).
23
24 Discount rate                             10%
25 Number of periods                            5
26 Present value                            3791
27 Cash flow                              (1,000)
28
29
30 4. The discount rate is computed as IRR(series of present value and cash flows).
31
32 Year                              0          1         2          3         4         5
33
34 Cash flow                   (3,791)     1,000     1,000      1,000     1,000     1,000
35 Internal rate of return        10%

Page 4
TIME VALUE OF MONEY

A         B                     C             D               E                F
1   MONTHLY COMPOUNDING
2
3   Annual interest rate                      10%
4   Monthly interest rate                   0.83%               ( Annual rate / 12 )
5
6                                                                  Future
7                    Beginning                      Ending         Value
8      Month          Balance        Interest       Balance        Factor
9
10          1                100.00          0.83       100.83        100.83%
11          2                100.83          0.84       101.67        101.67%
12          3                101.67          0.85       102.52        102.52%
13          4                102.52          0.85       103.38        103.38%
14          5                103.38          0.86       104.24        104.24%
15          6                104.24          0.87       105.11        105.11%
16          7                105.11          0.88       105.98        105.98%
17          8                105.98          0.88       106.86        106.86%
18          9                106.86          0.89       107.75        107.75%
19         10                107.75          0.90       108.65        108.65%
20         11                108.65          0.91       109.56        109.56%
21         12                109.56          0.91       110.47        110.47%
22
23   Effective annual rate               10.47%
24
25   Effective annual rate = FVF - 100% = ( 1 + Monthly Rate )^12 - 100%

Page 5
A                 B            C           D              E           F        G
1    Principal              \$15,000
2    Interest rate            8.00%
3    Number of years              4
4    Monthly payment        \$366.19
5
6    If the principal or interest rate are changed, the monthly payment and the following
7    amortization table will automatically recalculate.
8
9                         Beginning        Plus        Less        Ending
10                Month     Balance       Interest     Payment      Balance
11
12                   1     15,000.00       100.00      (366.19)    14,733.81
13                   2     14,733.81        98.23      (366.19)    14,465.84
14                   3     14,465.84        96.44      (366.19)    14,196.08
15                   4     14,196.08        94.64      (366.19)    13,924.53
16                   5     13,924.53        92.83      (366.19)    13,651.17
17                   6     13,651.17        91.01      (366.19)    13,375.98
18                   7     13,375.98        89.17      (366.19)    13,098.96
19                   8     13,098.96        87.33      (366.19)    12,820.09
20                   9     12,820.09        85.47      (366.19)    12,539.37
21                  10     12,539.37        83.60      (366.19)    12,256.77
22                  11     12,256.77        81.71      (366.19)    11,972.29
23                  12     11,972.29        79.82      (366.19)    11,685.91
24                  13     11,685.91        77.91      (366.19)    11,397.62
25                  14     11,397.62        75.98      (366.19)    11,107.41
26                  15     11,107.41        74.05      (366.19)    10,815.26
27                  16     10,815.26        72.10      (366.19)    10,521.17
28                  17     10,521.17        70.14      (366.19)    10,225.12
29                  18     10,225.12        68.17      (366.19)     9,927.09
30                  19      9,927.09        66.18      (366.19)     9,627.08
31                  20      9,627.08        64.18      (366.19)     9,325.07
32                  21      9,325.07        62.17      (366.19)     9,021.04
33                  22      9,021.04        60.14      (366.19)     8,714.99
34                  23      8,714.99        58.10      (366.19)     8,406.89
35                  24      8,406.89        56.05      (366.19)     8,096.74
36                  25      8,096.74        53.98      (366.19)     7,784.53
37                  26      7,784.53        51.90      (366.19)     7,470.23
38                  27      7,470.23        49.80      (366.19)     7,153.84
39                  28      7,153.84        47.69      (366.19)     6,835.34
40                  29      6,835.34        45.57      (366.19)     6,514.71
41                  30      6,514.71        43.43      (366.19)     6,191.95
42                  31      6,191.95        41.28      (366.19)     5,867.04
43                  32      5,867.04        39.11      (366.19)     5,539.96
44                  33      5,539.96        36.93      (366.19)     5,210.70
45                  34      5,210.70        34.74      (366.19)     4,879.24
46                  35      4,879.24        32.53      (366.19)     4,545.57
47                  36      4,545.57        30.30      (366.19)     4,209.68
48                  37      4,209.68        28.06      (366.19)     3,871.56
49                  38      3,871.56        25.81      (366.19)     3,531.17
50                  39      3,531.17        23.54      (366.19)     3,188.52
51                  40      3,188.52        21.26      (366.19)     2,843.58
52                  41      2,843.58        18.96      (366.19)     2,496.35
53                  42      2,496.35        16.64      (366.19)     2,146.79
54                  43      2,146.79        14.31      (366.19)     1,794.91
55                  44      1,794.91        11.97      (366.19)     1,440.68
56                  45      1,440.68         9.60      (366.19)     1,084.09
57                  46      1,084.09         7.23      (366.19)       725.13
58                  47        725.13         4.83      (366.19)       363.77
59                  48        363.77         2.43      (366.19)        (0.00)
60
61
62
63
64
65
66
67
68
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72
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74
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160
161
162                151           0.00         0.00     (366.19)       (366.19)
163                152        (366.19)       (2.44)    (366.19)       (734.83)
164                153        (734.83)       (4.90)    (366.19)     (1,105.92)
165                154      (1,105.92)       (7.37)    (366.19)     (1,479.49)
166                155      (1,479.49)       (9.86)    (366.19)     (1,855.55)
167                156      (1,855.55)      (12.37)    (366.19)     (2,234.11)
168                157      (2,234.11)      (14.89)    (366.19)     (2,615.20)
169                158      (2,615.20)      (17.43)    (366.19)     (2,998.83)
170                159      (2,998.83)      (19.99)    (366.19)     (3,385.01)
171                160      (3,385.01)      (22.57)    (366.19)     (3,773.77)
172                161      (3,773.77)      (25.16)    (366.19)     (4,165.12)
173                162      (4,165.12)      (27.77)    (366.19)     (4,559.09)
174                163      (4,559.09)      (30.39)    (366.19)     (4,955.67)
175                164      (4,955.67)      (33.04)    (366.19)     (5,354.91)
176                165      (5,354.91)      (35.70)    (366.19)     (5,756.80)
177                166      (5,756.80)      (38.38)    (366.19)     (6,161.37)
178                167      (6,161.37)      (41.08)    (366.19)     (6,568.64)
179                168      (6,568.64)      (43.79)    (366.19)     (6,978.63)
180                169      (6,978.63)      (46.52)    (366.19)     (7,391.34)
181                170      (7,391.34)      (49.28)    (366.19)     (7,806.81)
182                171      (7,806.81)      (52.05)    (366.19)     (8,225.05)
183                172      (8,225.05)      (54.83)    (366.19)     (8,646.08)
184                173      (8,646.08)      (57.64)    (366.19)     (9,069.91)
185                174      (9,069.91)      (60.47)    (366.19)     (9,496.57)
186                175      (9,496.57)      (63.31)    (366.19)     (9,926.08)
187                176      (9,926.08)      (66.17)    (366.19)    (10,358.45)
188                177     (10,358.45)      (69.06)    (366.19)    (10,793.70)
189                178     (10,793.70)      (71.96)    (366.19)    (11,231.85)
190                179     (11,231.85)      (74.88)    (366.19)    (11,672.92)
191                180     (11,672.92)      (77.82)    (366.19)    (12,116.93)
192                181     (12,116.93)      (80.78)    (366.19)    (12,563.91)
193                182     (12,563.91)      (83.76)    (366.19)    (13,013.86)
194                183     (13,013.86)      (86.76)    (366.19)    (13,466.81)
195                184     (13,466.81)      (89.78)    (366.19)    (13,922.79)
196                185     (13,922.79)      (92.82)    (366.19)    (14,381.80)
197                186     (14,381.80)      (95.88)    (366.19)    (14,843.87)
198                187     (14,843.87)      (98.96)    (366.19)    (15,309.02)
199                188     (15,309.02)     (102.06)    (366.19)    (15,777.28)
200                189     (15,777.28)     (105.18)    (366.19)    (16,248.65)
201                190     (16,248.65)     (108.32)    (366.19)    (16,723.17)
202                191     (16,723.17)     (111.49)    (366.19)    (17,200.85)
203                192     (17,200.85)     (114.67)    (366.19)    (17,681.72)
204                193     (17,681.72)     (117.88)    (366.19)    (18,165.79)
205                194     (18,165.79)     (121.11)    (366.19)    (18,653.09)
206                195     (18,653.09)     (124.35)    (366.19)    (19,143.64)
207                196     (19,143.64)     (127.62)    (366.19)    (19,637.46)
208                197     (19,637.46)     (130.92)    (366.19)    (20,134.57)
209                198     (20,134.57)     (134.23)    (366.19)    (20,634.99)
210                199     (20,634.99)     (137.57)    (366.19)    (21,138.75)
211                200     (21,138.75)     (140.93)    (366.19)    (21,645.87)
212                201     (21,645.87)     (144.31)    (366.19)    (22,156.37)
213                202     (22,156.37)     (147.71)    (366.19)    (22,670.27)
214                203     (22,670.27)     (151.14)    (366.19)    (23,187.60)
215                204     (23,187.60)     (154.58)    (366.19)    (23,708.38)
216                205     (23,708.38)     (158.06)    (366.19)    (24,232.63)
217                206     (24,232.63)     (161.55)    (366.19)    (24,760.37)
218                207     (24,760.37)     (165.07)    (366.19)    (25,291.64)
219                208     (25,291.64)     (168.61)    (366.19)    (25,826.44)
220                209     (25,826.44)     (172.18)    (366.19)    (26,364.81)
221                210     (26,364.81)     (175.77)    (366.19)    (26,906.77)
222                211     (26,906.77)     (179.38)    (366.19)    (27,452.34)
223                212     (27,452.34)     (183.02)    (366.19)    (28,001.55)
224                213     (28,001.55)     (186.68)    (366.19)    (28,554.42)
225                214     (28,554.42)     (190.36)    (366.19)    (29,110.98)
226                215     (29,110.98)     (194.07)    (366.19)    (29,671.25)
227                216     (29,671.25)     (197.81)    (366.19)    (30,235.25)
228                217     (30,235.25)     (201.57)    (366.19)    (30,803.01)
229                218     (30,803.01)     (205.35)    (366.19)    (31,374.56)
230                219     (31,374.56)     (209.16)    (366.19)    (31,949.92)
231                220     (31,949.92)     (213.00)    (366.19)    (32,529.11)
232                221     (32,529.11)     (216.86)    (366.19)    (33,112.17)
233                222     (33,112.17)     (220.75)    (366.19)    (33,699.11)
234                223     (33,699.11)     (224.66)    (366.19)    (34,289.96)
235                224     (34,289.96)     (228.60)    (366.19)    (34,884.75)
236                225     (34,884.75)     (232.57)    (366.19)    (35,483.51)
237                226     (35,483.51)     (236.56)    (366.19)    (36,086.26)
238                227     (36,086.26)     (240.58)    (366.19)    (36,693.03)
239                228     (36,693.03)     (244.62)    (366.19)    (37,303.85)
240                229     (37,303.85)     (248.69)    (366.19)    (37,918.73)
241                230     (37,918.73)     (252.79)    (366.19)    (38,537.72)
242                231     (38,537.72)     (256.92)    (366.19)    (39,160.83)
243                232     (39,160.83)     (261.07)    (366.19)    (39,788.10)
244                233     (39,788.10)     (265.25)    (366.19)    (40,419.54)
245                234     (40,419.54)     (269.46)    (366.19)    (41,055.20)
246                235     (41,055.20)     (273.70)    (366.19)    (41,695.10)
247                236     (41,695.10)     (277.97)    (366.19)    (42,339.26)
248                237     (42,339.26)     (282.26)    (366.19)    (42,987.71)
249                238     (42,987.71)     (286.58)    (366.19)    (43,640.49)
250                239     (43,640.49)     (290.94)    (366.19)    (44,297.62)
251                240     (44,297.62)     (295.32)    (366.19)    (44,959.13)
252                241     (44,959.13)     (299.73)    (366.19)    (45,625.06)
253                242     (45,625.06)     (304.17)    (366.19)    (46,295.42)
254                243     (46,295.42)     (308.64)    (366.19)    (46,970.25)
255                244     (46,970.25)     (313.13)    (366.19)    (47,649.58)
256                245     (47,649.58)     (317.66)    (366.19)    (48,333.43)
257                246     (48,333.43)     (322.22)    (366.19)    (49,021.85)
258                247     (49,021.85)     (326.81)    (366.19)    (49,714.86)
259                248     (49,714.86)     (331.43)    (366.19)    (50,412.48)
260                249     (50,412.48)     (336.08)    (366.19)    (51,114.76)
261                250     (51,114.76)     (340.77)    (366.19)    (51,821.72)
262                251     (51,821.72)     (345.48)    (366.19)    (52,533.39)
263                252     (52,533.39)     (350.22)    (366.19)    (53,249.81)
264                253     (53,249.81)     (355.00)    (366.19)    (53,971.00)
265                254     (53,971.00)     (359.81)    (366.19)    (54,697.00)
266                255     (54,697.00)     (364.65)    (366.19)    (55,427.84)
267                256     (55,427.84)     (369.52)    (366.19)    (56,163.55)
268                257     (56,163.55)     (374.42)    (366.19)    (56,904.17)
269                258     (56,904.17)     (379.36)    (366.19)    (57,649.73)
270                259     (57,649.73)     (384.33)    (366.19)    (58,400.25)
271                260     (58,400.25)     (389.34)    (366.19)    (59,155.78)
272                261     (59,155.78)     (394.37)    (366.19)    (59,916.35)
273                262     (59,916.35)     (399.44)    (366.19)    (60,681.98)
274                263     (60,681.98)     (404.55)    (366.19)    (61,452.72)
275                264     (61,452.72)     (409.68)    (366.19)    (62,228.60)
276                265     (62,228.60)     (414.86)    (366.19)    (63,009.65)
277                266     (63,009.65)     (420.06)    (366.19)    (63,795.91)
278                267     (63,795.91)     (425.31)    (366.19)    (64,587.41)
279                268     (64,587.41)     (430.58)    (366.19)    (65,384.19)
280                269     (65,384.19)     (435.89)    (366.19)    (66,186.27)
281                270     (66,186.27)     (441.24)    (366.19)    (66,993.71)
282                271     (66,993.71)     (446.62)    (366.19)    (67,806.53)
283                272     (67,806.53)     (452.04)    (366.19)    (68,624.77)
284                273     (68,624.77)     (457.50)    (366.19)    (69,448.46)
285                274     (69,448.46)     (462.99)    (366.19)    (70,277.64)
286                275     (70,277.64)     (468.52)    (366.19)    (71,112.35)
287                276     (71,112.35)     (474.08)    (366.19)    (71,952.63)
288                277     (71,952.63)     (479.68)    (366.19)    (72,798.51)
289                278     (72,798.51)     (485.32)    (366.19)    (73,650.02)
290                279     (73,650.02)     (491.00)    (366.19)    (74,507.22)
291                280     (74,507.22)     (496.71)    (366.19)    (75,370.13)
292                281     (75,370.13)     (502.47)    (366.19)    (76,238.79)
293                282     (76,238.79)     (508.26)    (366.19)    (77,113.24)
294                283     (77,113.24)     (514.09)    (366.19)    (77,993.52)
295                284     (77,993.52)     (519.96)    (366.19)    (78,879.67)
296                285     (78,879.67)     (525.86)    (366.19)    (79,771.73)
297                286     (79,771.73)     (531.81)    (366.19)    (80,669.74)
298                287     (80,669.74)     (537.80)    (366.19)    (81,573.73)
299                288     (81,573.73)     (543.82)    (366.19)    (82,483.75)
300                289     (82,483.75)     (549.89)    (366.19)    (83,399.83)
301                290     (83,399.83)     (556.00)    (366.19)    (84,322.03)
302                291     (84,322.03)     (562.15)    (366.19)    (85,250.37)
303                292     (85,250.37)     (568.34)    (366.19)    (86,184.90)
304                293     (86,184.90)     (574.57)    (366.19)    (87,125.66)
305                294     (87,125.66)     (580.84)    (366.19)    (88,072.69)
306                295     (88,072.69)     (587.15)    (366.19)    (89,026.03)
307                296     (89,026.03)     (593.51)    (366.19)    (89,985.73)
308                297     (89,985.73)     (599.90)    (366.19)    (90,951.83)
309                298     (90,951.83)     (606.35)    (366.19)    (91,924.37)
310                299     (91,924.37)     (612.83)    (366.19)    (92,903.40)
311                300     (92,903.40)     (619.36)    (366.19)    (93,888.95)
312                301     (93,888.95)     (625.93)    (366.19)    (94,881.07)
313                302     (94,881.07)     (632.54)    (366.19)    (95,879.80)
314                303     (95,879.80)     (639.20)    (366.19)    (96,885.19)
315                304     (96,885.19)     (645.90)    (366.19)    (97,897.29)
316                305     (97,897.29)     (652.65)    (366.19)    (98,916.13)
317                306     (98,916.13)     (659.44)    (366.19)    (99,941.76)
318                307     (99,941.76)     (666.28)    (366.19)   (100,974.24)
319                308    (100,974.24)     (673.16)    (366.19)   (102,013.59)
320                309    (102,013.59)     (680.09)    (366.19)   (103,059.88)
321                310    (103,059.88)     (687.07)    (366.19)   (104,113.14)
322                311    (104,113.14)     (694.09)    (366.19)   (105,173.42)
323                312    (105,173.42)     (701.16)    (366.19)   (106,240.77)
324                313    (106,240.77)     (708.27)    (366.19)   (107,315.23)
325                314    (107,315.23)     (715.43)    (366.19)   (108,396.86)
326                315    (108,396.86)     (722.65)    (366.19)   (109,485.70)
327                316    (109,485.70)     (729.90)    (366.19)   (110,581.80)
328                317    (110,581.80)     (737.21)    (366.19)   (111,685.21)
329                318    (111,685.21)     (744.57)    (366.19)   (112,795.97)
330                319    (112,795.97)     (751.97)    (366.19)   (113,914.13)
331                320    (113,914.13)     (759.43)    (366.19)   (115,039.76)
332                321    (115,039.76)     (766.93)    (366.19)   (116,172.88)
333                322    (116,172.88)     (774.49)    (366.19)   (117,313.56)
334                323    (117,313.56)     (782.09)    (366.19)   (118,461.85)
335                324    (118,461.85)     (789.75)    (366.19)   (119,617.78)
336                325    (119,617.78)     (797.45)    (366.19)   (120,781.43)
337                326    (120,781.43)     (805.21)    (366.19)   (121,952.83)
338                327    (121,952.83)     (813.02)    (366.19)   (123,132.05)
339                328    (123,132.05)     (820.88)    (366.19)   (124,319.12)
340                329    (124,319.12)     (828.79)    (366.19)   (125,514.11)
341                330    (125,514.11)     (836.76)    (366.19)   (126,717.06)
342                331    (126,717.06)     (844.78)    (366.19)   (127,928.04)
343                332    (127,928.04)     (852.85)    (366.19)   (129,147.09)
344                333    (129,147.09)     (860.98)    (366.19)   (130,374.26)
345                334    (130,374.26)     (869.16)    (366.19)   (131,609.62)
346                335    (131,609.62)     (877.40)    (366.19)   (132,853.21)
347                336    (132,853.21)     (885.69)    (366.19)   (134,105.09)
348                337    (134,105.09)     (894.03)    (366.19)   (135,365.32)
349                338    (135,365.32)     (902.44)    (366.19)   (136,633.95)
350                339    (136,633.95)     (910.89)    (366.19)   (137,911.03)
351                340    (137,911.03)     (919.41)    (366.19)   (139,196.63)
352                341    (139,196.63)     (927.98)    (366.19)   (140,490.80)
353                342    (140,490.80)     (936.61)    (366.19)   (141,793.60)
354                343    (141,793.60)     (945.29)    (366.19)   (143,105.09)
355                344    (143,105.09)     (954.03)    (366.19)   (144,425.32)
356                345    (144,425.32)     (962.84)    (366.19)   (145,754.34)
357                346    (145,754.34)     (971.70)    (366.19)   (147,092.23)
358                347    (147,092.23)     (980.61)    (366.19)   (148,439.04)
359                348    (148,439.04)     (989.59)    (366.19)   (149,794.83)
360                349    (149,794.83)     (998.63)    (366.19)   (151,159.66)
361                350    (151,159.66)   (1,007.73)    (366.19)   (152,533.58)
362                351    (152,533.58)   (1,016.89)    (366.19)   (153,916.67)
363                352    (153,916.67)   (1,026.11)    (366.19)   (155,308.97)
364                353    (155,308.97)   (1,035.39)    (366.19)   (156,710.56)
365                354    (156,710.56)   (1,044.74)    (366.19)   (158,121.49)
366                355    (158,121.49)   (1,054.14)    (366.19)   (159,541.83)
367                356    (159,541.83)   (1,063.61)    (366.19)   (160,971.63)
368                357    (160,971.63)   (1,073.14)    (366.19)   (162,410.97)
369                358    (162,410.97)   (1,082.74)    (366.19)   (163,859.90)
370                359    (163,859.90)   (1,092.40)    (366.19)   (165,318.50)
371                360    (165,318.50)   (1,102.12)    (366.19)   (166,786.81)

Page 6
A                B             C           D             E            F        G
1    Principal            \$150,000
2    Interest rate            8.50%
3    Number of years             30
4    Monthly payment      \$1,153.37
5
6    If the principal or interest rate are changed, the monthly payment and the following
7    amortization table will automatically recalculate.
8
9                         Beginning       Plus         Less        Ending
10                Month    Principal     Interest      Payment     Principal
11
12                   1    150,000.00     1,062.50   (1,153.37)   149,909.13
13                   2    149,909.13     1,061.86   (1,153.37)   149,817.62
14                   3    149,817.62     1,061.21   (1,153.37)   149,725.45
15                   4    149,725.45     1,060.56   (1,153.37)   149,632.64
16                   5    149,632.64     1,059.90   (1,153.37)   149,539.17
17                   6    149,539.17     1,059.24   (1,153.37)   149,445.03
18                   7    149,445.03     1,058.57   (1,153.37)   149,350.23
19                   8    149,350.23     1,057.90   (1,153.37)   149,254.76
20                   9    149,254.76     1,057.22   (1,153.37)   149,158.61
21                  10    149,158.61     1,056.54   (1,153.37)   149,061.78
22                  11    149,061.78     1,055.85   (1,153.37)   148,964.26
23                  12    148,964.26     1,055.16   (1,153.37)   148,866.06
24                  13    148,866.06     1,054.47   (1,153.37)   148,767.15
25                  14    148,767.15     1,053.77   (1,153.37)   148,667.55
26                  15    148,667.55     1,053.06   (1,153.37)   148,567.24
27                  16    148,567.24     1,052.35   (1,153.37)   148,466.22
28                  17    148,466.22     1,051.64   (1,153.37)   148,364.49
29                  18    148,364.49     1,050.92   (1,153.37)   148,262.03
30                  19    148,262.03     1,050.19   (1,153.37)   148,158.85
31                  20    148,158.85     1,049.46   (1,153.37)   148,054.94
32                  21    148,054.94     1,048.72   (1,153.37)   147,950.29
33                  22    147,950.29     1,047.98   (1,153.37)   147,844.90
34                  23    147,844.90     1,047.23   (1,153.37)   147,738.77
35                  24    147,738.77     1,046.48   (1,153.37)   147,631.88
36                  25    147,631.88     1,045.73   (1,153.37)   147,524.24
37                  26    147,524.24     1,044.96   (1,153.37)   147,415.83
38                  27    147,415.83     1,044.20   (1,153.37)   147,306.66
39                  28    147,306.66     1,043.42   (1,153.37)   147,196.71
40                  29    147,196.71     1,042.64   (1,153.37)   147,085.98
41                  30    147,085.98     1,041.86   (1,153.37)   146,974.47
42                  31    146,974.47     1,041.07   (1,153.37)   146,862.17
43                  32    146,862.17     1,040.27   (1,153.37)   146,749.07
44                  33    146,749.07     1,039.47   (1,153.37)   146,635.17
45                  34    146,635.17     1,038.67   (1,153.37)   146,520.47
46                  35    146,520.47     1,037.85   (1,153.37)   146,404.95
47                  36    146,404.95     1,037.04   (1,153.37)   146,288.62
48                  37    146,288.62     1,036.21   (1,153.37)   146,171.46
49                  38    146,171.46     1,035.38   (1,153.37)   146,053.47
50                  39    146,053.47     1,034.55   (1,153.37)   145,934.65
51                  40    145,934.65     1,033.70   (1,153.37)   145,814.98
52                  41    145,814.98     1,032.86   (1,153.37)   145,694.46
53                  42    145,694.46     1,032.00   (1,153.37)   145,573.10
54                  43    145,573.10     1,031.14   (1,153.37)   145,450.87
55                  44    145,450.87     1,030.28   (1,153.37)   145,327.78
56                  45    145,327.78     1,029.41   (1,153.37)   145,203.81
57                  46    145,203.81     1,028.53   (1,153.37)   145,078.97
58                  47    145,078.97     1,027.64   (1,153.37)   144,953.24
59                  48    144,953.24     1,026.75   (1,153.37)   144,826.62
60                  49    144,826.62     1,025.86   (1,153.37)   144,699.11
61                  50    144,699.11     1,024.95   (1,153.37)   144,570.69
62                  51    144,570.69     1,024.04   (1,153.37)   144,441.36
63                  52    144,441.36     1,023.13   (1,153.37)   144,311.12
64                  53    144,311.12     1,022.20   (1,153.37)   144,179.95
65                  54    144,179.95     1,021.27   (1,153.37)   144,047.86
66                  55    144,047.86     1,020.34   (1,153.37)   143,914.82
67                  56    143,914.82     1,019.40   (1,153.37)   143,780.85
68                  57    143,780.85     1,018.45   (1,153.37)   143,645.93
69                  58    143,645.93     1,017.49   (1,153.37)   143,510.05
70                  59    143,510.05     1,016.53   (1,153.37)   143,373.21
71                  60    143,373.21     1,015.56   (1,153.37)   143,235.40
72                  61    143,235.40     1,014.58   (1,153.37)   143,096.61
73                  62    143,096.61     1,013.60   (1,153.37)   142,956.84
74                  63    142,956.84     1,012.61   (1,153.37)   142,816.08
75                  64    142,816.08     1,011.61   (1,153.37)   142,674.33
76                  65    142,674.33     1,010.61   (1,153.37)   142,531.57
77                  66    142,531.57     1,009.60   (1,153.37)   142,387.80
78                  67    142,387.80     1,008.58   (1,153.37)   142,243.01
79                  68    142,243.01     1,007.55   (1,153.37)   142,097.19
80                  69    142,097.19     1,006.52   (1,153.37)   141,950.34
81                  70    141,950.34     1,005.48   (1,153.37)   141,802.45
82                  71    141,802.45     1,004.43   (1,153.37)   141,653.52
83                  72    141,653.52     1,003.38   (1,153.37)   141,503.53
84                  73    141,503.53     1,002.32   (1,153.37)   141,352.47
85                  74    141,352.47     1,001.25   (1,153.37)   141,200.35
86                  75    141,200.35     1,000.17   (1,153.37)   141,047.15
87                  76    141,047.15       999.08   (1,153.37)   140,892.86
88                  77    140,892.86       997.99   (1,153.37)   140,737.48
89                  78    140,737.48       996.89   (1,153.37)   140,581.00
90                  79    140,581.00       995.78   (1,153.37)   140,423.41
91                  80    140,423.41       994.67   (1,153.37)   140,264.71
92                  81    140,264.71       993.54   (1,153.37)   140,104.88
93                  82    140,104.88       992.41   (1,153.37)   139,943.92
94                  83    139,943.92       991.27   (1,153.37)   139,781.82
95                  84    139,781.82       990.12   (1,153.37)   139,618.57
96                  85    139,618.57       988.96   (1,153.37)   139,454.17
97                  86    139,454.17       987.80   (1,153.37)   139,288.60
98                  87    139,288.60       986.63   (1,153.37)   139,121.85
99                  88    139,121.85       985.45   (1,153.37)   138,953.93
100                 89    138,953.93       984.26   (1,153.37)   138,784.82
101                 90    138,784.82       983.06   (1,153.37)   138,614.51
102                 91    138,614.51       981.85   (1,153.37)   138,442.99
103                 92    138,442.99       980.64   (1,153.37)   138,270.26
104                 93    138,270.26       979.41   (1,153.37)   138,096.30
105                 94    138,096.30       978.18   (1,153.37)   137,921.11
106                 95    137,921.11       976.94   (1,153.37)   137,744.68
107                 96    137,744.68       975.69   (1,153.37)   137,567.00
108                 97    137,567.00       974.43   (1,153.37)   137,388.07
109                 98    137,388.07       973.17   (1,153.37)   137,207.86
110                 99    137,207.86       971.89   (1,153.37)   137,026.38
111                100    137,026.38       970.60   (1,153.37)   136,843.61
112                101    136,843.61       969.31   (1,153.37)   136,659.55
113                102    136,659.55       968.01   (1,153.37)   136,474.19
114                103    136,474.19       966.69   (1,153.37)   136,287.51
115                104    136,287.51       965.37   (1,153.37)   136,099.51
116                105    136,099.51       964.04   (1,153.37)   135,910.18
117                106    135,910.18       962.70   (1,153.37)   135,719.50
118                107    135,719.50       961.35   (1,153.37)   135,527.48
119                108    135,527.48       959.99   (1,153.37)   135,334.10
120                109    135,334.10       958.62   (1,153.37)   135,139.34
121                110    135,139.34       957.24   (1,153.37)   134,943.21
122                111    134,943.21       955.85   (1,153.37)   134,745.69
123                112    134,745.69       954.45   (1,153.37)   134,546.76
124                113    134,546.76       953.04   (1,153.37)   134,346.43
125                114    134,346.43       951.62   (1,153.37)   134,144.68
126                115    134,144.68       950.19   (1,153.37)   133,941.51
127                116    133,941.51       948.75   (1,153.37)   133,736.89
128                117    133,736.89       947.30   (1,153.37)   133,530.82
129                118    133,530.82       945.84   (1,153.37)   133,323.29
130                119    133,323.29       944.37   (1,153.37)   133,114.30
131                120    133,114.30       942.89   (1,153.37)   132,903.82
132                121    132,903.82       941.40   (1,153.37)   132,691.85
133                122    132,691.85       939.90   (1,153.37)   132,478.38
134                123    132,478.38       938.39   (1,153.37)   132,263.40
135                124    132,263.40       936.87   (1,153.37)   132,046.90
136                125    132,046.90       935.33   (1,153.37)   131,828.86
137                126    131,828.86       933.79   (1,153.37)   131,609.28
138                127    131,609.28       932.23   (1,153.37)   131,388.14
139                128    131,388.14       930.67   (1,153.37)   131,165.43
140                129    131,165.43       929.09   (1,153.37)   130,941.15
141                130    130,941.15       927.50   (1,153.37)   130,715.28
142                131    130,715.28       925.90   (1,153.37)   130,487.81
143                132    130,487.81       924.29   (1,153.37)   130,258.73
144                133    130,258.73       922.67   (1,153.37)   130,028.02
145                134    130,028.02       921.03   (1,153.37)   129,795.69
146                135    129,795.69       919.39   (1,153.37)   129,561.70
147                136    129,561.70       917.73   (1,153.37)   129,326.06
148                137    129,326.06       916.06   (1,153.37)   129,088.75
149                138    129,088.75       914.38   (1,153.37)   128,849.76
150                139    128,849.76       912.69   (1,153.37)   128,609.07
151                140    128,609.07       910.98   (1,153.37)   128,366.68
152                141    128,366.68       909.26   (1,153.37)   128,122.58
153                142    128,122.58       907.53   (1,153.37)   127,876.74
154                143    127,876.74       905.79   (1,153.37)   127,629.17
155                144    127,629.17       904.04   (1,153.37)   127,379.84
156                145    127,379.84       902.27   (1,153.37)   127,128.74
157                146    127,128.74       900.50   (1,153.37)   126,875.87
158                147    126,875.87       898.70   (1,153.37)   126,621.20
159                148    126,621.20       896.90   (1,153.37)   126,364.73
160                149    126,364.73       895.08   (1,153.37)   126,106.44
161                150    126,106.44       893.25   (1,153.37)   125,846.33
162                151    125,846.33       891.41   (1,153.37)   125,584.37
163                152    125,584.37       889.56   (1,153.37)   125,320.55
164                153    125,320.55       887.69   (1,153.37)   125,054.87
165                154    125,054.87       885.81   (1,153.37)   124,787.31
166                155    124,787.31       883.91   (1,153.37)   124,517.84
167                156    124,517.84       882.00   (1,153.37)   124,246.48
168                157    124,246.48       880.08   (1,153.37)   123,973.19
169                158    123,973.19       878.14   (1,153.37)   123,697.96
170                159    123,697.96       876.19   (1,153.37)   123,420.78
171                160    123,420.78       874.23   (1,153.37)   123,141.64
172                161    123,141.64       872.25   (1,153.37)   122,860.53
173                162    122,860.53       870.26   (1,153.37)   122,577.42
174                163    122,577.42       868.26   (1,153.37)   122,292.30
175                164    122,292.30       866.24   (1,153.37)   122,005.17
176                165    122,005.17       864.20   (1,153.37)   121,716.00
177                166    121,716.00       862.16   (1,153.37)   121,424.79
178                167    121,424.79       860.09   (1,153.37)   121,131.51
179                168    121,131.51       858.01   (1,153.37)   120,836.15
180                169    120,836.15       855.92   (1,153.37)   120,538.71
181                170    120,538.71       853.82   (1,153.37)   120,239.15
182                171    120,239.15       851.69   (1,153.37)   119,937.48
183                172    119,937.48       849.56   (1,153.37)   119,633.66
184                173    119,633.66       847.41   (1,153.37)   119,327.70
185                174    119,327.70       845.24   (1,153.37)   119,019.57
186                175    119,019.57       843.06   (1,153.37)   118,709.25
187                176    118,709.25       840.86   (1,153.37)   118,396.74
188                177    118,396.74       838.64   (1,153.37)   118,082.01
189                178    118,082.01       836.41   (1,153.37)   117,765.06
190                179    117,765.06       834.17   (1,153.37)   117,445.85
191                180    117,445.85       831.91   (1,153.37)   117,124.39
192                181    117,124.39       829.63   (1,153.37)   116,800.65
193                182    116,800.65       827.34   (1,153.37)   116,474.62
194                183    116,474.62       825.03   (1,153.37)   116,146.28
195                184    116,146.28       822.70   (1,153.37)   115,815.61
196                185    115,815.61       820.36   (1,153.37)   115,482.60
197                186    115,482.60       818.00   (1,153.37)   115,147.23
198                187    115,147.23       815.63   (1,153.37)   114,809.49
199                188    114,809.49       813.23   (1,153.37)   114,469.35
200                189    114,469.35       810.82   (1,153.37)   114,126.81
201                190    114,126.81       808.40   (1,153.37)   113,781.84
202                191    113,781.84       805.95   (1,153.37)   113,434.42
203                192    113,434.42       803.49   (1,153.37)   113,084.54
204                193    113,084.54       801.02   (1,153.37)   112,732.19
205                194    112,732.19       798.52   (1,153.37)   112,377.34
206                195    112,377.34       796.01   (1,153.37)   112,019.97
207                196    112,019.97       793.47   (1,153.37)   111,660.08
208                197    111,660.08       790.93   (1,153.37)   111,297.63
209                198    111,297.63       788.36   (1,153.37)   110,932.62
210                199    110,932.62       785.77   (1,153.37)   110,565.03
211                200    110,565.03       783.17   (1,153.37)   110,194.82
212                201    110,194.82       780.55   (1,153.37)   109,822.00
213                202    109,822.00       777.91   (1,153.37)   109,446.54
214                203    109,446.54       775.25   (1,153.37)   109,068.41
215                204    109,068.41       772.57   (1,153.37)   108,687.61
216                205    108,687.61       769.87   (1,153.37)   108,304.11
217                206    108,304.11       767.15   (1,153.37)   107,917.89
218                207    107,917.89       764.42   (1,153.37)   107,528.94
219                208    107,528.94       761.66   (1,153.37)   107,137.24
220                209    107,137.24       758.89   (1,153.37)   106,742.75
221                210    106,742.75       756.09   (1,153.37)   106,345.48
222                211    106,345.48       753.28   (1,153.37)   105,945.39
223                212    105,945.39       750.45   (1,153.37)   105,542.46
224                213    105,542.46       747.59   (1,153.37)   105,136.69
225                214    105,136.69       744.72   (1,153.37)   104,728.03
226                215    104,728.03       741.82   (1,153.37)   104,316.49
227                216    104,316.49       738.91   (1,153.37)   103,902.03
228                217    103,902.03       735.97   (1,153.37)   103,484.63
229                218    103,484.63       733.02   (1,153.37)   103,064.27
230                219    103,064.27       730.04   (1,153.37)   102,640.94
231                220    102,640.94       727.04   (1,153.37)   102,214.61
232                221    102,214.61       724.02   (1,153.37)   101,785.26
233                222    101,785.26       720.98   (1,153.37)   101,352.87
234                223    101,352.87       717.92   (1,153.37)   100,917.42
235                224    100,917.42       714.83   (1,153.37)   100,478.88
236                225    100,478.88       711.73   (1,153.37)   100,037.23
237                226    100,037.23       708.60   (1,153.37)    99,592.46
238                227     99,592.46       705.45   (1,153.37)    99,144.54
239                228     99,144.54       702.27   (1,153.37)    98,693.44
240                229     98,693.44       699.08   (1,153.37)    98,239.15
241                230     98,239.15       695.86   (1,153.37)    97,781.64
242                231     97,781.64       692.62   (1,153.37)    97,320.89
243                232     97,320.89       689.36   (1,153.37)    96,856.88
244                233     96,856.88       686.07   (1,153.37)    96,389.57
245                234     96,389.57       682.76   (1,153.37)    95,918.96
246                235     95,918.96       679.43   (1,153.37)    95,445.02
247                236     95,445.02       676.07   (1,153.37)    94,967.72
248                237     94,967.72       672.69   (1,153.37)    94,487.04
249                238     94,487.04       669.28   (1,153.37)    94,002.95
250                239     94,002.95       665.85   (1,153.37)    93,515.43
251                240     93,515.43       662.40   (1,153.37)    93,024.46
252                241     93,024.46       658.92   (1,153.37)    92,530.02
253                242     92,530.02       655.42   (1,153.37)    92,032.07
254                243     92,032.07       651.89   (1,153.37)    91,530.59
255                244     91,530.59       648.34   (1,153.37)    91,025.56
256                245     91,025.56       644.76   (1,153.37)    90,516.96
257                246     90,516.96       641.16   (1,153.37)    90,004.75
258                247     90,004.75       637.53   (1,153.37)    89,488.91
259                248     89,488.91       633.88   (1,153.37)    88,969.42
260                249     88,969.42       630.20   (1,153.37)    88,446.25
261                250     88,446.25       626.49   (1,153.37)    87,919.38
262                251     87,919.38       622.76   (1,153.37)    87,388.77
263                252     87,388.77       619.00   (1,153.37)    86,854.40
264                253     86,854.40       615.22   (1,153.37)    86,316.25
265                254     86,316.25       611.41   (1,153.37)    85,774.29
266                255     85,774.29       607.57   (1,153.37)    85,228.48
267                256     85,228.48       603.70   (1,153.37)    84,678.82
268                257     84,678.82       599.81   (1,153.37)    84,125.25
269                258     84,125.25       595.89   (1,153.37)    83,567.77
270                259     83,567.77       591.94   (1,153.37)    83,006.34
271                260     83,006.34       587.96   (1,153.37)    82,440.93
272                261     82,440.93       583.96   (1,153.37)    81,871.52
273                262     81,871.52       579.92   (1,153.37)    81,298.07
274                263     81,298.07       575.86   (1,153.37)    80,720.56
275                264     80,720.56       571.77   (1,153.37)    80,138.96
276                265     80,138.96       567.65   (1,153.37)    79,553.24
277                266     79,553.24       563.50   (1,153.37)    78,963.37
278                267     78,963.37       559.32   (1,153.37)    78,369.33
279                268     78,369.33       555.12   (1,153.37)    77,771.07
280                269     77,771.07       550.88   (1,153.37)    77,168.58
281                270     77,168.58       546.61   (1,153.37)    76,561.82
282                271     76,561.82       542.31   (1,153.37)    75,950.76
283                272     75,950.76       537.98   (1,153.37)    75,335.38
284                273     75,335.38       533.63   (1,153.37)    74,715.63
285                274     74,715.63       529.24   (1,153.37)    74,091.50
286                275     74,091.50       524.81   (1,153.37)    73,462.94
287                276     73,462.94       520.36   (1,153.37)    72,829.94
288                277     72,829.94       515.88   (1,153.37)    72,192.44
289                278     72,192.44       511.36   (1,153.37)    71,550.44
290                279     71,550.44       506.82   (1,153.37)    70,903.88
291                280     70,903.88       502.24   (1,153.37)    70,252.75
292                281     70,252.75       497.62   (1,153.37)    69,597.00
293                282     69,597.00       492.98   (1,153.37)    68,936.61
294                283     68,936.61       488.30   (1,153.37)    68,271.54
295                284     68,271.54       483.59   (1,153.37)    67,601.76
296                285     67,601.76       478.85   (1,153.37)    66,927.24
297                286     66,927.24       474.07   (1,153.37)    66,247.93
298                287     66,247.93       469.26   (1,153.37)    65,563.82
299                288     65,563.82       464.41   (1,153.37)    64,874.86
300                289     64,874.86       459.53   (1,153.37)    64,181.02
301                290     64,181.02       454.62   (1,153.37)    63,482.27
302                291     63,482.27       449.67   (1,153.37)    62,778.56
303                292     62,778.56       444.68   (1,153.37)    62,069.87
304                293     62,069.87       439.66   (1,153.37)    61,356.16
305                294     61,356.16       434.61   (1,153.37)    60,637.40
306                295     60,637.40       429.51   (1,153.37)    59,913.55
307                296     59,913.55       424.39   (1,153.37)    59,184.56
308                297     59,184.56       419.22   (1,153.37)    58,450.42
309                298     58,450.42       414.02   (1,153.37)    57,711.07
310                299     57,711.07       408.79   (1,153.37)    56,966.49
311                300     56,966.49       403.51   (1,153.37)    56,216.63
312                301     56,216.63       398.20   (1,153.37)    55,461.46
313                302     55,461.46       392.85   (1,153.37)    54,700.94
314                303     54,700.94       387.47   (1,153.37)    53,935.04
315                304     53,935.04       382.04   (1,153.37)    53,163.71
316                305     53,163.71       376.58   (1,153.37)    52,386.91
317                306     52,386.91       371.07   (1,153.37)    51,604.62
318                307     51,604.62       365.53   (1,153.37)    50,816.78
319                308     50,816.78       359.95   (1,153.37)    50,023.36
320                309     50,023.36       354.33   (1,153.37)    49,224.32
321                310     49,224.32       348.67   (1,153.37)    48,419.62
322                311     48,419.62       342.97   (1,153.37)    47,609.23
323                312     47,609.23       337.23   (1,153.37)    46,793.09
324                313     46,793.09       331.45   (1,153.37)    45,971.17
325                314     45,971.17       325.63   (1,153.37)    45,143.43
326                315     45,143.43       319.77   (1,153.37)    44,309.82
327                316     44,309.82       313.86   (1,153.37)    43,470.31
328                317     43,470.31       307.91   (1,153.37)    42,624.86
329                318     42,624.86       301.93   (1,153.37)    41,773.41
330                319     41,773.41       295.90   (1,153.37)    40,915.94
331                320     40,915.94       289.82   (1,153.37)    40,052.39
332                321     40,052.39       283.70   (1,153.37)    39,182.72
333                322     39,182.72       277.54   (1,153.37)    38,306.90
334                323     38,306.90       271.34   (1,153.37)    37,424.87
335                324     37,424.87       265.09   (1,153.37)    36,536.59
336                325     36,536.59       258.80   (1,153.37)    35,642.02
337                326     35,642.02       252.46   (1,153.37)    34,741.12
338                327     34,741.12       246.08   (1,153.37)    33,833.83
339                328     33,833.83       239.66   (1,153.37)    32,920.12
340                329     32,920.12       233.18   (1,153.37)    31,999.93
341                330     31,999.93       226.67   (1,153.37)    31,073.23
342                331     31,073.23       220.10   (1,153.37)    30,139.96
343                332     30,139.96       213.49   (1,153.37)    29,200.08
344                333     29,200.08       206.83   (1,153.37)    28,253.54
345                334     28,253.54       200.13   (1,153.37)    27,300.30
346                335     27,300.30       193.38   (1,153.37)    26,340.31
347                336     26,340.31       186.58   (1,153.37)    25,373.51
348                337     25,373.51       179.73   (1,153.37)    24,399.87
349                338     24,399.87       172.83   (1,153.37)    23,419.34
350                339     23,419.34       165.89   (1,153.37)    22,431.85
351                340     22,431.85       158.89   (1,153.37)    21,437.37
352                341     21,437.37       151.85   (1,153.37)    20,435.85
353                342     20,435.85       144.75   (1,153.37)    19,427.24
354                343     19,427.24       137.61   (1,153.37)    18,411.48
355                344     18,411.48       130.41   (1,153.37)    17,388.52
356                345     17,388.52       123.17   (1,153.37)    16,358.32
357                346     16,358.32       115.87   (1,153.37)    15,320.82
358                347     15,320.82       108.52   (1,153.37)    14,275.97
359                348     14,275.97       101.12   (1,153.37)    13,223.72
360                349     13,223.72        93.67   (1,153.37)    12,164.02
361                350     12,164.02        86.16   (1,153.37)    11,096.81
362                351     11,096.81        78.60   (1,153.37)    10,022.04
363                352     10,022.04        70.99   (1,153.37)     8,939.66
364                353      8,939.66        63.32   (1,153.37)     7,849.62
365                354      7,849.62        55.60   (1,153.37)     6,751.85
366                355      6,751.85        47.83   (1,153.37)     5,646.30
367                356      5,646.30        39.99   (1,153.37)     4,532.93
368                357      4,532.93        32.11   (1,153.37)     3,411.67
369                358      3,411.67        24.17   (1,153.37)     2,282.46
370                359      2,282.46        16.17   (1,153.37)     1,145.26
371                360      1,145.26         8.11   (1,153.37)        (0.00)

Page 7

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