Hambelton Ltd. issued $5,000,000 of 5% bonds payable on 1 September 20X9 to yield 4%. Interest on the bonds is paid semi-annually and is payable each 28 February and 31 August. The bonds were dated 1 March 20X8, and had an original term of five years. The accounting period ends on 31 December. The effective-interest method is used. (PV of $1, PVA of $1, and PVAD of $1) (Use appropriate factor(s) from the tables provided.) ......... Required: 1. Determine the price at which the bonds were issued. (Round time value factor to 5 decimal places. Do not round intermediate calculations. Round your final answer to the nearest whole dollar amount.) Answer is complete but not entirely correct. Price of Bond $ 5,224,565 X 2. Prepare a bond amortization table for the life of the bond. (Round time value factor to 5 decimal places. Do not round intermediate calculations. Round your final answers to the nearest whole dollar amount. Leave no cells blank - be certain to enter "O" wherever required.) Answer is complete but not entirely correct. Net Bond Liability Interest Premium Unamortized Premium Interest Date Payment Expense Amortization 2$ 224,573 X $ 5,224,573 X 204,065 8 183,146 X 161,809 X Opening $ 125,000 O S 104,491 X S 20,509 X 5,204,065 X 5,183,146 X 1 125,000 104,081 8 20,919 X 21,337 X 103,663 X 103,236 X 102,801 X 125,000 O 5,161,809 X 21,764 X 125,000 O 125,000 O 140,045 X 117,846 X 5,140,045 X 5,117,846 X 4 22,199 X 125,000 O 102,357 X 22,643 X 95,203 X 5,095,203 X 5,072,107 X 7 125,000 101,904 X 23,096 X 72,107 X

Excel Applications for Accounting Principles
4th Edition
ISBN:9781111581565
Author:Gaylord N. Smith
Publisher:Gaylord N. Smith
ChapterMB: Model-building Problems
Section: Chapter Questions
Problem 13M
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Related questions
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Concept explainers
Question
100%
Hambelton Ltd. issued $5,000,000 of 5% bonds payable on 1 September 20X9 to yield 4%. Interest on the bonds is paid semi-annually
and is payable each 28 February and 31 August. The bonds were dated 1 March 20X8, and had an original term of five years. The
accounting period ends on 31 December. The effective-interest method is used. (PV of $1, PVA of $1, and PVAD of $1) (Use
appropriate factor(s) from the tables provided.)
Required:
1. Determine the price at which the bonds were issued. (Round time value factor to 5 decimal places. Do not round intermediate
calculations. Round your final answer to the nearest whole dollar amount.)
Answer is complete but not entirely correct.
Price of
Bond
24
5,224,565
2. Prepare a bond amortization table for the life of the bond. (Round time value factor to 5 decimal places. Do not round
intermediate calculations. Round your final answers to the nearest whole dollar amount. Leave no cells blank - be certain to enter
"O" wherever required.)
Answer is complete but not entirely correct.
Unamortized
Premium
Interest
Interest
Premium
Net Bond
Date
Payment
Expense
Amortization
Liability
Opening
224,573 X $ 5,224,573
20,509 X
204,065 X
5,204,065 X
5,183,146 X
1
2$
125,000 O $ 104,491 X $
125,000 O
104,081 X
103,663 X
20,919 X
183,146 X
21,337 X
161,809 X
140,045 X
3
125,000 O
5,161,809 X
4
125,000 V
103,236 X
21.764 X
5,140,045 X
125,000
102,801 X
22,199 X
117,846 X
5,117,846 X
6.
125,000
102,357 X
22,643 X
95,203 x
5,095,203 X
7
125,000
101,904 X
23,096 X
72,107 X
5,072,107 X
TABLE I-1: Present value of 1: (P/F, i, n)
1
P/F =
(1 + i)"
2%
2.5%
3%
4%
5%
6%
7%
8%
9%
10%
11%
12%
14%
15%
0.98039
0.97561
0.95238
0.90703
1
0.97087
0.96154
0.94340
0.93458
0.92593
0.91743
0.90909
0.90090
0.89286
0.87719
0.86957
2
0.96117
0.95181
0.94260
0.92456
0.89000
0.87344
0.85734
0.84168
0,82645
0.81162 0.79719
0.76947
0.75614
3
0.94232
0.92860
0.91514
0.88900
0.86384
0.83962
0.81630
0.79383
0.77218
0.75131
0.73119
0.71178
0.67497
0.65752
4
0.92385
0.90595
0.88849
0.85480
0.82270
0.79209
0.76290
0.73503
0.70843
0.68301
0.65873
0.63552
0.59208
0.57175
5
0.90573
0,88385
0.86261
0,82193
0.78353
0.74726
0.71299
0.68058
0.64993
0,62092
0.59345
0.56743
0,51937
0.497 18
0.53464
0.48166
0.50663
0.45235
0.74622
0.56447
0,45559
0.39964
6.
0.88797
0.86230
0.83748
0.79031
0.70496
0.66634
0.63017
0.59627
0.43233
7
0.87056
0.84127
0.81309
0.75992
0.71068
0.66506
0.62275
0.58349
0.54703
0.51316
0.37594
8
0.85349
0.82075
0.78941
0.73069
0.67684
0.62741
0.58201
0.54027
0.50187
0.46651
0.43393
0.40388
0.35056
0.32690
0.64461
0,61391
9
0.83676
0.80073
0.76642
0.70259
0.59190
0.54393
0.50025
0.46043
0.424 10
0.39092
0.36061
0.30751
0.28426
10
0.82035
0.781 20
0.74409
0.67556
0.55839
0.50835
0.46319
0.42241
0.38554
0,35218
0.32197
0.26974
0.24718
11
0.80426
0.76214
0.72242
0.64958
0.58468
0.52679
0.47509
0.42888
0.38753
0.35049
0.31728
0.28748
0.23662
0.21494
12
0.78849
0.74356
0.70138
0.62460
0.55684
0.49697
0.44401
0,39711
0.35553
0.31863
0.28584
0.25668
0.20756
0.18691
13
0.77303
0.72542
0.68095
0.60057
0.53032
0.46884
0.41496
0.36770
0.32618
0.28966
0.25751
0.22917
0.18207
0.16253
14
0.75788
0.70773
0.66112
0.57748
0.50507
0.44230
0.38782
0.34046
0.29925
0.26333
0.23199
0.20462
0.15971
0.14133
15
0.74301
0.69047
0.64186
0.55526
0.48102
0.41727
0.36245
0.31524
0.27454
0.23939
0,20900
0.18270
0.14010
0.12289
16
0.72845
0.67362
0.62317
0.53391
0.45811
0.39365
0.33873
0.29189
0.25187
0.21763
0.18829
0.16312
0.12289
0.10686
0.23107
0.21199
0.51337
0.43630
0.31657
0.16963
0.10780 0.09293
0.09456 0.08081
17
0.71416
0.65720
0.60502
0.37136
0.27027
0.19784
0.14564
18
0.70016
0.64117
0.58739
0.49363 0.41552 0.35034
0.29586 0.25025
0.17986
0.15282 0.13004
19
0.68643
0.57029
0.55368
0.62553
0.47464
0.39573
0,33051
0.27651
0.23171
0.19449
0.16351 0.13768 0.11611
0.08295 0.07027
20
0.67297 0.61027
0.45639
0.37689
0.31 180
0.25842
0.21455
0.17843
0.14864
0.12403
0.10367
0.07276
0.061 10
21
0.65978
0.59539
0.53755
0.43883
0.35894
0.29416
0.24151
0.19866
0.16370
0.13513
0.11174
0.09256
0.06383
0.05313
22
0.64684
0,58086
0.52189
0.42196
0.34185
0.27751
0.22571
0.18394
0.15018
0.12285
0.10067
0.08264
0.05599
0.04620
23
0.63416
0.56670
0.50669
0.40573
0.32557
0.26180
0.21095
0.17032
0.13778
0.11168
0.09069
0.07379
0.04911
0.04017
24
0.62172
0.55288
0.49193
0.39012
0.31007
0.24698
0.19715
0.15770
0.12640
0.10153
0.08170
0.06588
0.04308
0.03493
25
0.60953
0.53939
0.47761
0,37512
0.29530
0.23300
0.18425
0.14602
0.11597
0.09230
0.07361
0.05882
0.03779
0.03038
26
0.59758
0.52623
0.46369
0.36069
0.28124
0.21981
0.17220
0.13520
0.10639
0.08391
0.06631
0.05252
0.03315
0.02642
27
0.58586
0.51340
0.45019
0.34682
0.26785
0.20737
0.16093
0.12519 0.09761
0.07628
0.05974
0.04689
0.02908
0.02297
0.02551
0.02237
28
0.57437
0.50088
0.43708
0.33348
0.25509
0.19563
0.15040 0.11591
0.08955
0.06934
0.05382
0.04187
0.01997
29
0.56311
0.48866
0.42435
0.32065
0.24295
0. 18456
0.14056
0.10733
0.08215
0.06304
0.04849
0.03738
0.01737
30
0.55207
0.47674
0.41199
0.30832
0.23138
0.17411
0.13137
0.09938
0.07537
0.05731
0,04368
0.03338
0.01963
0.01510
31
0.54125
0.46511
0.39999
0.29646
0.22036
0.16425
0.12277
0.09202
0.06915
0.05210
0.03935
0.02980
0.01722
0.01313
0. 15496
0. 14619
0. 19035 0. 13791
0. 13011
32
0.53063
0.45377
0.38834
0.28506
0.20987
0.11474
0.08520
0.06344
0.04736
0.03545 0.02661
0.01510
0.01142
0.00993
0.00864
0.44270
0.10723
0.01325
0.01162
33
0.52023
0.37703
0.27409
0.19987
0.07889 0.05820
0.04306
0.03194
0.02376
34
0.51003
0.43191
0.36604
0.26355
0.10022 0.07305
0.05339 0.03914
0.02878 0.02121
35
0.50003
0.42137
0,35538
0.25342
0. 18129
0.09366
0.06763
0.04899
0,03558
0.02592 0,01894
0.01019
0.00751
36
0.49022
0.41109
0.34503
0.24367
0.17266
0.12274
0.08754 0.06262
0.04494 0.03235
0.02335
0.01691
0.00894
0.00653
0. 16444
0. 15661
0. 14915
0. 14205
37
0.48061
0.40107
0.33498
0.23430
0.11579
0.08181
0.05799
0.04123
0.02941
0.02104
0.01510
0.00784
0.00568
38
0.47119
0.39128
0.32523
0.22529
0.10924
0.07646 0.05369
0.03783
0.02673
0,01896
0.01348
0.00688
0.00494
39
0.46195
0.38174
0.31575
0.21662
0.10306
0.07146 0.04971
0.03470
0.02430
0.01708
0.01204
0.00604
0.00429
40
0.45289
0.37243
0.30656
0.20829
0.09722
0.06678
0.04603
0.03184
0.02209
0.01538 0.01075
0.00529
0.00373
45
0.41020
0.32917
0.26444
0.17120
0,11130
0.07265
0.04761
0.03133
0.02069
0.01372
0.00913
0.00610
0.00275
0.00186
50
0.37153
0.29094
0.22811
0.14071
0.08720
0.05429
0.03395
0.02132
0.01345
0.00852
0.00542
0.00346
0.00143
0.00092
Transcribed Image Text:Hambelton Ltd. issued $5,000,000 of 5% bonds payable on 1 September 20X9 to yield 4%. Interest on the bonds is paid semi-annually and is payable each 28 February and 31 August. The bonds were dated 1 March 20X8, and had an original term of five years. The accounting period ends on 31 December. The effective-interest method is used. (PV of $1, PVA of $1, and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Required: 1. Determine the price at which the bonds were issued. (Round time value factor to 5 decimal places. Do not round intermediate calculations. Round your final answer to the nearest whole dollar amount.) Answer is complete but not entirely correct. Price of Bond 24 5,224,565 2. Prepare a bond amortization table for the life of the bond. (Round time value factor to 5 decimal places. Do not round intermediate calculations. Round your final answers to the nearest whole dollar amount. Leave no cells blank - be certain to enter "O" wherever required.) Answer is complete but not entirely correct. Unamortized Premium Interest Interest Premium Net Bond Date Payment Expense Amortization Liability Opening 224,573 X $ 5,224,573 20,509 X 204,065 X 5,204,065 X 5,183,146 X 1 2$ 125,000 O $ 104,491 X $ 125,000 O 104,081 X 103,663 X 20,919 X 183,146 X 21,337 X 161,809 X 140,045 X 3 125,000 O 5,161,809 X 4 125,000 V 103,236 X 21.764 X 5,140,045 X 125,000 102,801 X 22,199 X 117,846 X 5,117,846 X 6. 125,000 102,357 X 22,643 X 95,203 x 5,095,203 X 7 125,000 101,904 X 23,096 X 72,107 X 5,072,107 X TABLE I-1: Present value of 1: (P/F, i, n) 1 P/F = (1 + i)" 2% 2.5% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 14% 15% 0.98039 0.97561 0.95238 0.90703 1 0.97087 0.96154 0.94340 0.93458 0.92593 0.91743 0.90909 0.90090 0.89286 0.87719 0.86957 2 0.96117 0.95181 0.94260 0.92456 0.89000 0.87344 0.85734 0.84168 0,82645 0.81162 0.79719 0.76947 0.75614 3 0.94232 0.92860 0.91514 0.88900 0.86384 0.83962 0.81630 0.79383 0.77218 0.75131 0.73119 0.71178 0.67497 0.65752 4 0.92385 0.90595 0.88849 0.85480 0.82270 0.79209 0.76290 0.73503 0.70843 0.68301 0.65873 0.63552 0.59208 0.57175 5 0.90573 0,88385 0.86261 0,82193 0.78353 0.74726 0.71299 0.68058 0.64993 0,62092 0.59345 0.56743 0,51937 0.497 18 0.53464 0.48166 0.50663 0.45235 0.74622 0.56447 0,45559 0.39964 6. 0.88797 0.86230 0.83748 0.79031 0.70496 0.66634 0.63017 0.59627 0.43233 7 0.87056 0.84127 0.81309 0.75992 0.71068 0.66506 0.62275 0.58349 0.54703 0.51316 0.37594 8 0.85349 0.82075 0.78941 0.73069 0.67684 0.62741 0.58201 0.54027 0.50187 0.46651 0.43393 0.40388 0.35056 0.32690 0.64461 0,61391 9 0.83676 0.80073 0.76642 0.70259 0.59190 0.54393 0.50025 0.46043 0.424 10 0.39092 0.36061 0.30751 0.28426 10 0.82035 0.781 20 0.74409 0.67556 0.55839 0.50835 0.46319 0.42241 0.38554 0,35218 0.32197 0.26974 0.24718 11 0.80426 0.76214 0.72242 0.64958 0.58468 0.52679 0.47509 0.42888 0.38753 0.35049 0.31728 0.28748 0.23662 0.21494 12 0.78849 0.74356 0.70138 0.62460 0.55684 0.49697 0.44401 0,39711 0.35553 0.31863 0.28584 0.25668 0.20756 0.18691 13 0.77303 0.72542 0.68095 0.60057 0.53032 0.46884 0.41496 0.36770 0.32618 0.28966 0.25751 0.22917 0.18207 0.16253 14 0.75788 0.70773 0.66112 0.57748 0.50507 0.44230 0.38782 0.34046 0.29925 0.26333 0.23199 0.20462 0.15971 0.14133 15 0.74301 0.69047 0.64186 0.55526 0.48102 0.41727 0.36245 0.31524 0.27454 0.23939 0,20900 0.18270 0.14010 0.12289 16 0.72845 0.67362 0.62317 0.53391 0.45811 0.39365 0.33873 0.29189 0.25187 0.21763 0.18829 0.16312 0.12289 0.10686 0.23107 0.21199 0.51337 0.43630 0.31657 0.16963 0.10780 0.09293 0.09456 0.08081 17 0.71416 0.65720 0.60502 0.37136 0.27027 0.19784 0.14564 18 0.70016 0.64117 0.58739 0.49363 0.41552 0.35034 0.29586 0.25025 0.17986 0.15282 0.13004 19 0.68643 0.57029 0.55368 0.62553 0.47464 0.39573 0,33051 0.27651 0.23171 0.19449 0.16351 0.13768 0.11611 0.08295 0.07027 20 0.67297 0.61027 0.45639 0.37689 0.31 180 0.25842 0.21455 0.17843 0.14864 0.12403 0.10367 0.07276 0.061 10 21 0.65978 0.59539 0.53755 0.43883 0.35894 0.29416 0.24151 0.19866 0.16370 0.13513 0.11174 0.09256 0.06383 0.05313 22 0.64684 0,58086 0.52189 0.42196 0.34185 0.27751 0.22571 0.18394 0.15018 0.12285 0.10067 0.08264 0.05599 0.04620 23 0.63416 0.56670 0.50669 0.40573 0.32557 0.26180 0.21095 0.17032 0.13778 0.11168 0.09069 0.07379 0.04911 0.04017 24 0.62172 0.55288 0.49193 0.39012 0.31007 0.24698 0.19715 0.15770 0.12640 0.10153 0.08170 0.06588 0.04308 0.03493 25 0.60953 0.53939 0.47761 0,37512 0.29530 0.23300 0.18425 0.14602 0.11597 0.09230 0.07361 0.05882 0.03779 0.03038 26 0.59758 0.52623 0.46369 0.36069 0.28124 0.21981 0.17220 0.13520 0.10639 0.08391 0.06631 0.05252 0.03315 0.02642 27 0.58586 0.51340 0.45019 0.34682 0.26785 0.20737 0.16093 0.12519 0.09761 0.07628 0.05974 0.04689 0.02908 0.02297 0.02551 0.02237 28 0.57437 0.50088 0.43708 0.33348 0.25509 0.19563 0.15040 0.11591 0.08955 0.06934 0.05382 0.04187 0.01997 29 0.56311 0.48866 0.42435 0.32065 0.24295 0. 18456 0.14056 0.10733 0.08215 0.06304 0.04849 0.03738 0.01737 30 0.55207 0.47674 0.41199 0.30832 0.23138 0.17411 0.13137 0.09938 0.07537 0.05731 0,04368 0.03338 0.01963 0.01510 31 0.54125 0.46511 0.39999 0.29646 0.22036 0.16425 0.12277 0.09202 0.06915 0.05210 0.03935 0.02980 0.01722 0.01313 0. 15496 0. 14619 0. 19035 0. 13791 0. 13011 32 0.53063 0.45377 0.38834 0.28506 0.20987 0.11474 0.08520 0.06344 0.04736 0.03545 0.02661 0.01510 0.01142 0.00993 0.00864 0.44270 0.10723 0.01325 0.01162 33 0.52023 0.37703 0.27409 0.19987 0.07889 0.05820 0.04306 0.03194 0.02376 34 0.51003 0.43191 0.36604 0.26355 0.10022 0.07305 0.05339 0.03914 0.02878 0.02121 35 0.50003 0.42137 0,35538 0.25342 0. 18129 0.09366 0.06763 0.04899 0,03558 0.02592 0,01894 0.01019 0.00751 36 0.49022 0.41109 0.34503 0.24367 0.17266 0.12274 0.08754 0.06262 0.04494 0.03235 0.02335 0.01691 0.00894 0.00653 0. 16444 0. 15661 0. 14915 0. 14205 37 0.48061 0.40107 0.33498 0.23430 0.11579 0.08181 0.05799 0.04123 0.02941 0.02104 0.01510 0.00784 0.00568 38 0.47119 0.39128 0.32523 0.22529 0.10924 0.07646 0.05369 0.03783 0.02673 0,01896 0.01348 0.00688 0.00494 39 0.46195 0.38174 0.31575 0.21662 0.10306 0.07146 0.04971 0.03470 0.02430 0.01708 0.01204 0.00604 0.00429 40 0.45289 0.37243 0.30656 0.20829 0.09722 0.06678 0.04603 0.03184 0.02209 0.01538 0.01075 0.00529 0.00373 45 0.41020 0.32917 0.26444 0.17120 0,11130 0.07265 0.04761 0.03133 0.02069 0.01372 0.00913 0.00610 0.00275 0.00186 50 0.37153 0.29094 0.22811 0.14071 0.08720 0.05429 0.03395 0.02132 0.01345 0.00852 0.00542 0.00346 0.00143 0.00092
TABLE I-2: Present value of an ordinary an nuity of n payments of 1:(P/A, i, n)
1
1.
(1 + i)"
P/A =
2%
2.5%
3%
0.97087
4%
5%
0.95238
6%
7%
8%
9%
10%
11%
12%
0.89286
1.69005
14%
15%
0.96154
0.92593
1.78326
0.98039
0.97561
0.94340
0.93458
0.91743 0.90909 0.90090
0.87719 0.86957
1.94156
1.92742
1.91347
1.88609
1.85941
1.83339
1.80802
1.75911
1.73554 1.71252
1.64666 1.62571
3
2.88388
2.85602
2.82861
2.77509
2.72325
2.67301
2.62432
2.57710
2.53129 2.48685 2.44371
2.40183
2.32163
2. 28323
4
3.80773
3.76197
3.71710
3.62990
3.54595
3.46511
3.38721
3.31213
3.23972
3.16987
3.10245
3.03735
2.91371
2.85498
4.71346
4.64583
4.57971
4.45182
4.32948
4.21236
4.10020
3.99271
3.88965
3.79079
3,69590
3.60478
3.43308 3.35216
5.60143
5.50813
5.41719
5.24214
5.07569
4.91732
4.76654
4.62288
4.48592 4.35526 4.23054 4.11141 3.88867 3.78448
6.47199
6.34939
6.23028
6.00205
5.78637
5.58238
5.38929
5, 20637
5.03295
4.86842
4.71220 4.56376
4. 28830 4.16042
8
7.32548
7.17014
7.01969
6.73274
6.46321
6.20979
5.97130
5.74664
5.53482
5.33493
5. 14612 4.96764 4.63886 4.48732
8.16224
7.97087
7.78611
7.43533
7.10782
6.80169
6.51523
6. 24689
5.99525
5.75902 5.53705
5.32825 4.94637 4.77158
10
8.98259
8.75206
8.53020
8.11090
7.72173
7.36009
7.02358
6.71008
6.41766
6.14457 5.88923
5.65022 5.21612
5.01877
11
9.78685
9.51421
9.25262
8.76048
8.30641
7.88687
7.49867
7.13896
6.80519 6.49506
6.20652
5.93770 5.45273 5.23371
12
10.57534 10.25776
9.95400
9.38507
8.86325
8.38384
7.94269
7.53608
7.16073 6.81369 6.49236 6.19437 5.66029
5.42062
13
11.34837 10. 98318 10.63496
9.98565
9.39357
8.85268
8.35765
7.90378
7.48690 7.10336 6.74987 6.42355 5.84236 5.58315
14
12.10625 11,69091 11,29607 10,56312
9,89864
9.29498
8.74547
8.24424
7.78615 7.36669 6.98187 6.62817 6.00207 5.72448
15
12.84926 12.38138 11.93794 11.11839 10.37966
9.71225
9.10791
8.55948
8.06069 7.60608
7.19087 6.81086
6.14217 5.84737
16
13.57771 13. 05500 12.56110 11.65230 10.83777 10.10590
9.44665
8.85137
8.31256
7.82371
7.37916
6.97399
6.26506 5.95423
17
14.29187 13.71220 13.16612 12.16567 11.27407 10.47726
9.76322
9.12164
8.54363
8.02155
7.54879 7.11963
6.37286
6.04716
18
14.99203 14.35336 13.75351 12.65930 11.68959 10.82760 10.05909
9.37189
8.75563
8. 20141
7.70162 7.24967
6.46742 6.12797
19
15.67846 14.97889 14.32380 13.13394 12.08532 11.15812 10.33560
9.60360
8.95011 8.36492 7.83929
7.36578 6.55037 6.19823
20
16.35143 15. 58916 14.87747 13.59033 12.46221 11.46992 10.59401
9.81815
9.12855
8.51356 7.96333
7.46944 6.62313
6. 25933
21
17.01121 16. 18455 15.41502 14.02916 12.82115 11.76408 10.83553 10.01680
9.29224
8,64869
8.07507 7.56200
6. 68696 6.31246
22
17.65805 16. 76541 15.93692 14.45112 13.16300 12.04158 11.06124 10.20074
9.44243
8.77154 8.17574 7.64465
6.74294
6. 35866
23
18.29220 17.33211 16.44361 14.85684 13.48857 12.30338 11.27219 10.37106
9.58021
8.88322
8.26643 7.71843 6.79206 6.39884
24
18.91393 17.88499 16.93554 15.24696 13.79864 12.55036 11.46933 10.52876
9.70661
8.98474
8.34814
7.78432 6.83514 6.43377
25
19.52346 18.42438 17.41315 15.62208 14.09394 12.78336 11.65358 10.67478
9.82258 9.07704
8,42174
7.84314
6.87293 6.46415
26
20.12104 18.95061 17.87684 15.98277 14.37519 13.00317 11.82578 10.80998
9,92897
9.16095
8.48806
7.89566
6.90608
6.49056
27
20.70690 19,46401
18.32703 16.32959 14.64303 13.21053 11.98671 10.93516 10.02658
9.23722
8,54780
7,94255
6.93515 6.51353
28
21.28127 19,96489
18.76411
16.66306 14.89813 13.40616 12.13711 11.05108 10.11613
9.30657
8.60162
7.98442
6.96066 6.53351
29
21.84438 20.45355
19.18845
16.98371 15.14107
13.59072 12.27767 11.15841
10.19828
9.36961
8. 65011
8.02181
6.98304
6.55088
30
22.39646 20.93029 19.60044
17.29203 15,37245
13.76483 12.40904 11.25778 10.27365
9.42691
8.69379
8.05518
7,00266
6.56598
31
22.93770 21.39541 20.00043 17.58849 15.59281
13.92909 12.53181 11.34980 10.34280
9.47901
8.73315
8.08499
7.01988
6.57911
32
23.46833 21.84918 20.38877 17.87355 15.80268
14.08404 12.64656 11.43500 10.40624
9.52638 8.76860 8.11159
7.03498
6.59053
23.98856 22. 29188 20.76579 18.14765 16.00255 14.23023 12.75379 11.51389 10.46444
24.49859 22.72379 21.13184 18.41120 16.19290 14.36814 12.85401 11.58693 10.51784 9.60857 8.82932
33
9.56943 8.80054 8.13535
7.04823
6.60046
34
8. 15656
7.05985
6.60910
35
24.99862 23. 14516 21.48722 18.66461 16.37419 14.49825 12.94767 11.65457 10.56682 9.64416 8.85524
8.17550
7.07005 6.61661
25.48884 23. 55625 21.83225 18.90828 16.54685 14.62099 13.03521 11.71719 10.61176 9.67651 8.87859 8. 19241
25.96945 23. 95732 22.16724 19.14258 16.71129 14.73678 13.11702 11.77518 10.65299 9.70592
26.44064 24. 34860 22.49246 19.36786 16.86789 14.84602 13.19347 11.82887 10.69082 9.73265
36
7.07899 6,62314
37
8.89963 8.20751
7.
.08683
6.62881
38
8.91859 8.22099
7.09371 6.63375
39
26.90259 24.73034 22.80822
19.58448 17.01704 14.94907 13.26493 11.87858 10.72552 9.75696 8.93567 8.23303 7.09975 6.63805
40
27.35548 25. 10278 23.11477 19.79277 17.15909 15.04630 13.33171 11.92461 10.75736 9.77905 8.95105 8.24378
7.10504 6.64178
45
29.49016 26.83302 24.51871 20.72004 17.77407 15.45583 13.60552 12.10840 10.88120 9.86281 9.00791
8. 28252
7.12322 6.65429
50
31.42361 28. 36231 25.72976 21.48218 18.25593 15.76186 13.80075 12.23348 10.96168 9.91481 9.04165
8.30450
7.13266 6.66051
TABLE 1-3: Present value of an annuity due ofn payments of 1: (P/AD, i, n)
1 -
(1 + i)"
P/AD =
x (1 + i)
2%
2.5%
3%
4%
5%
6%
7%
8%
9%
10%
11%
12%
14%
15%
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000 1.00000 1.00000 1.00000 1.00000
1.98039
1.97561
1.97087
1.96154
1.95238
1.94340
1.93458
1.92593
1.91743
1.90909 1.90090 1.89286 1.87719 1.86957
2.94156
2.92742
2.91347
2.88609
2.85941
2.83339
2.80802
2.78326
2.75911
2.73554 2.71252 2.69005 2.64666 2.62571
3.88388
3.82861
4,71710
3.85602
3.77509
3.72325
3.67301
3.62432
3.57710
3.53129
3.48685 3.44371 3.40183 3.32163 3.28323
4.80773
4.76197
4.62990
4.54595
4.46511
4.38721
4.31213 4.23972
4. 16987 4.10245 4.03735 3.91371 3.85498
5.64583
6.50813
6.
5.71346
5.57971
5.45182
5.32948
5.21236
5.10020
4.99271
4,88965
4.79079 4.69590 4.60478 4.43308 4.35216
7
6.60143
6.41719 6.24214
6.07569
5.91732
5.76654
5.62288
5.48592
5.35526 5.23054 5.11141
4.88867 4.78448
7.47199
7.34939
7.23028
7.00205
6.78637
6.58238
6.38929
6.20637
6.03295
5.86842 5.71220 5.56376 5.28830 5.16042
9
8.32548
8.17014
8.01969
7.73274
7.46321
7.20979
6.97130
6.74664
6.53482
6.33493 6.14612 5.96764 5.63886 5.48732
10
9.16224
8.97087
8.78611
8.43533
8.10782
7.80169
7.51523
7.24689
6.99525
6.75902 6.53705 6.32825 5.94637 5.77158
11
9.98259
9.75206
9.53020
9.11090
8.72173
8.36009
8.02358
7.71008
7.41766
7.14457 6.88923 6.65022 6.21612 6.01877
12
10.78685 10.51421 10.25262
9.76048
9.30641
8.88687
8.49867 8.13896 7.80519
7.49506 7.20652 6.93770 6.45273 6.23371
13
11.57534 11.25776 10.95400 10.38507
9.86325
9.38384
8.94269
8.53608
8.16073
7.81369 7.49236 7.19437 6.66029 6.42062
14
12.34837 11.98318 11.63496 10.98565 10.39357
9.85268
9.35765
8.90378
8.48690
8. 10336
7.74987 7.42355 6.84236 6.58315
15
13.10625 12.69091
12.29607 11.56312 10.89864 10.29498
9.74547
9.24424
8.78615
8.36669 7.98187 7.62817 7.00207 6.72448
16
13.84926 13.38138 12.93794 12.11839 11.37966 10.71225 10.10791
9.55948
9.06069
8.60608 8.19087 7.81086 7.14217 6.84737
17
14.57771 14.05500 13.56110 12.65230 11.83777 11.10590 10.44665
9.85137
9.31256
8.82371 8.37916
7.97399 7.26506 6.95423
18
15.29187 14.71220 14.16612 13.16567 12.27407 11.47726 10.76322 10.12164
9.54363
9.02155 8.54879 8.11963 7.37286 7.04716
19
15.99203 15.35336 14.75351 13.65930 12.68959 11.82760 11.05909 10.37189
9.75563
9.20141 8.70162 8.24967
7.46742 7.12797
20
16.67846 15.97889 15.32380 14.13394 13.08532 12.15812 11.33560 10.60360
9.95011
9.36492 8.83929 8.36578
7.55037 7.19823
21
17.35143 16.58916 15.87747 14.59033 13.46221 12.46992 11.59401 10.81815 10.12855
9.51356 8.96333 8.46944
7.62313 7.25933
22
18.01121 17.18455 16.41502 15.02916 13.82115 12.76408 11.83553 11.01680 10.29224
9.64869 9.07507 8.56200
7.68696 7.31246
23
18.65805 17.76541 16.93692 15.45112 14. 16300 13.04158 12.06124 11.20074 10.44243
9.77154 9.17574 8.64465
7.74294 7.35866
24
19.29220 18.33211 17.44361 15.85684 14.48857 13.30338 12.27219 11.37106 10.58021
9.88322 9.26643 8.71843
7.79206 7.39884
25
19.91393 18.88499 17.93554 16.24696 14.79864 13.55036 12.46933 11.52876 10.70661
9.98474 9.34814 8.78432
7.83514 7.43377
26
20.52346 19.42438 18.41315 16.62208 15.09394 13.78336 12.65358 11.67478 10.82258 10.07704 9.42174 8.84314 7.87293 7.46415
27
21.12104 19.95061 18.87684 16.98277 15.37519 14.00317 12.82578 11.80998 10.92897 10.16095 9.48806 8.89566
7.90608 7.49056
28
21.70690 20.46401 19.32703 17.32959 15.64303 14.21053 12.98671 11.93516 11.02658 10.23722 9.54780 8.94255 7.93515 7.51353
29
22.28127 20.96489 19.76411 17.66306 15.89813 14.40616 13.13711 12.05108 11.11613 10.30657 9.60162 8.98442
7.96066 7.53351
30
22.84438 21.45355 20.18845 17.98371 16. 14107 14.59072 13.27767 12.15841 11.19828 10.36961 9.65011
9.02181
7.98304 7.55088
31
23.39646 21.93029 20.60044 18.29203 16.37245 14.76483 13.40904 12.25778 11.27365 10.42691 9.69379 9.05518
8.00266 7.56598
32
23.93770 22.39541 21.00043 18.58849
16.59281
14.92909 13.53181 12.34980 11.34280 10.47901 9.73315
9.08499
8.01988
7.57911
33
24.46833 22.84918 21.38877 18.87355 16.80268 15.08404 13.64656 12.43500 11.40624 10.52638 9.76860
9.11159
8.03498 7.59053
34
24.98856 23.29188 21.76579 19.14765 17.00255 15.23023
13.75379 12.51389 11.46444 10,56943 9.80054 9.13535
8.04823 7.60046
35
25.49859 23.72379 22.13184 19.41120 17.19290 15.36814 13.85401
12.58693 11.51784 10.60857 9.82932 9.15656 8.05985 7.60910
36
25.99862 24. 14516 22.48722 19.66461 17.37419 15.49825 13.94767 12.65457 11.56682 10.64416 9.85524 9.17550 8.07005 7.61661
37
26.48884 24.55625 22.83225 19.90828 17.54685
15.62099 14.03521 12.71719 11.61176 10.67651 9.87859 9.19241 8.07899 7.62314
38
26.96945 24.95732 23.16724 20.14258 17.71129 15.73678 14.11702 12.77518 11.65299 10.70592 9.89963 9.20751 8.08683 7.62881
39
27.44064 25.34860 23.49246 20.36786 17.86789 15.84602 14.19347 12.82887 11.69082 10.73265 9.91859 9.22099 8.09371 7.63375
40
27.90259 25.73034 23.80822 20.58448 18.01704
15.94907 14.26493 12.87858 11.72552 10.75696 9.93567 9.23303 8.09975 7.63805
45
30.07996 27.50385 25.25427 21.54884 18. 66277 16.38318 14.55791 13.07707 11.86051 10.84909 9.99878 9.27642 8.12047 7.65244
50
32.05208 29.07137 26.50166 22.34147 19.16872 16.70757 14.76680 13.21216 11.94823 10.90630 10.03624 9.30104 8.13123 7.65959
Transcribed Image Text:TABLE I-2: Present value of an ordinary an nuity of n payments of 1:(P/A, i, n) 1 1. (1 + i)" P/A = 2% 2.5% 3% 0.97087 4% 5% 0.95238 6% 7% 8% 9% 10% 11% 12% 0.89286 1.69005 14% 15% 0.96154 0.92593 1.78326 0.98039 0.97561 0.94340 0.93458 0.91743 0.90909 0.90090 0.87719 0.86957 1.94156 1.92742 1.91347 1.88609 1.85941 1.83339 1.80802 1.75911 1.73554 1.71252 1.64666 1.62571 3 2.88388 2.85602 2.82861 2.77509 2.72325 2.67301 2.62432 2.57710 2.53129 2.48685 2.44371 2.40183 2.32163 2. 28323 4 3.80773 3.76197 3.71710 3.62990 3.54595 3.46511 3.38721 3.31213 3.23972 3.16987 3.10245 3.03735 2.91371 2.85498 4.71346 4.64583 4.57971 4.45182 4.32948 4.21236 4.10020 3.99271 3.88965 3.79079 3,69590 3.60478 3.43308 3.35216 5.60143 5.50813 5.41719 5.24214 5.07569 4.91732 4.76654 4.62288 4.48592 4.35526 4.23054 4.11141 3.88867 3.78448 6.47199 6.34939 6.23028 6.00205 5.78637 5.58238 5.38929 5, 20637 5.03295 4.86842 4.71220 4.56376 4. 28830 4.16042 8 7.32548 7.17014 7.01969 6.73274 6.46321 6.20979 5.97130 5.74664 5.53482 5.33493 5. 14612 4.96764 4.63886 4.48732 8.16224 7.97087 7.78611 7.43533 7.10782 6.80169 6.51523 6. 24689 5.99525 5.75902 5.53705 5.32825 4.94637 4.77158 10 8.98259 8.75206 8.53020 8.11090 7.72173 7.36009 7.02358 6.71008 6.41766 6.14457 5.88923 5.65022 5.21612 5.01877 11 9.78685 9.51421 9.25262 8.76048 8.30641 7.88687 7.49867 7.13896 6.80519 6.49506 6.20652 5.93770 5.45273 5.23371 12 10.57534 10.25776 9.95400 9.38507 8.86325 8.38384 7.94269 7.53608 7.16073 6.81369 6.49236 6.19437 5.66029 5.42062 13 11.34837 10. 98318 10.63496 9.98565 9.39357 8.85268 8.35765 7.90378 7.48690 7.10336 6.74987 6.42355 5.84236 5.58315 14 12.10625 11,69091 11,29607 10,56312 9,89864 9.29498 8.74547 8.24424 7.78615 7.36669 6.98187 6.62817 6.00207 5.72448 15 12.84926 12.38138 11.93794 11.11839 10.37966 9.71225 9.10791 8.55948 8.06069 7.60608 7.19087 6.81086 6.14217 5.84737 16 13.57771 13. 05500 12.56110 11.65230 10.83777 10.10590 9.44665 8.85137 8.31256 7.82371 7.37916 6.97399 6.26506 5.95423 17 14.29187 13.71220 13.16612 12.16567 11.27407 10.47726 9.76322 9.12164 8.54363 8.02155 7.54879 7.11963 6.37286 6.04716 18 14.99203 14.35336 13.75351 12.65930 11.68959 10.82760 10.05909 9.37189 8.75563 8. 20141 7.70162 7.24967 6.46742 6.12797 19 15.67846 14.97889 14.32380 13.13394 12.08532 11.15812 10.33560 9.60360 8.95011 8.36492 7.83929 7.36578 6.55037 6.19823 20 16.35143 15. 58916 14.87747 13.59033 12.46221 11.46992 10.59401 9.81815 9.12855 8.51356 7.96333 7.46944 6.62313 6. 25933 21 17.01121 16. 18455 15.41502 14.02916 12.82115 11.76408 10.83553 10.01680 9.29224 8,64869 8.07507 7.56200 6. 68696 6.31246 22 17.65805 16. 76541 15.93692 14.45112 13.16300 12.04158 11.06124 10.20074 9.44243 8.77154 8.17574 7.64465 6.74294 6. 35866 23 18.29220 17.33211 16.44361 14.85684 13.48857 12.30338 11.27219 10.37106 9.58021 8.88322 8.26643 7.71843 6.79206 6.39884 24 18.91393 17.88499 16.93554 15.24696 13.79864 12.55036 11.46933 10.52876 9.70661 8.98474 8.34814 7.78432 6.83514 6.43377 25 19.52346 18.42438 17.41315 15.62208 14.09394 12.78336 11.65358 10.67478 9.82258 9.07704 8,42174 7.84314 6.87293 6.46415 26 20.12104 18.95061 17.87684 15.98277 14.37519 13.00317 11.82578 10.80998 9,92897 9.16095 8.48806 7.89566 6.90608 6.49056 27 20.70690 19,46401 18.32703 16.32959 14.64303 13.21053 11.98671 10.93516 10.02658 9.23722 8,54780 7,94255 6.93515 6.51353 28 21.28127 19,96489 18.76411 16.66306 14.89813 13.40616 12.13711 11.05108 10.11613 9.30657 8.60162 7.98442 6.96066 6.53351 29 21.84438 20.45355 19.18845 16.98371 15.14107 13.59072 12.27767 11.15841 10.19828 9.36961 8. 65011 8.02181 6.98304 6.55088 30 22.39646 20.93029 19.60044 17.29203 15,37245 13.76483 12.40904 11.25778 10.27365 9.42691 8.69379 8.05518 7,00266 6.56598 31 22.93770 21.39541 20.00043 17.58849 15.59281 13.92909 12.53181 11.34980 10.34280 9.47901 8.73315 8.08499 7.01988 6.57911 32 23.46833 21.84918 20.38877 17.87355 15.80268 14.08404 12.64656 11.43500 10.40624 9.52638 8.76860 8.11159 7.03498 6.59053 23.98856 22. 29188 20.76579 18.14765 16.00255 14.23023 12.75379 11.51389 10.46444 24.49859 22.72379 21.13184 18.41120 16.19290 14.36814 12.85401 11.58693 10.51784 9.60857 8.82932 33 9.56943 8.80054 8.13535 7.04823 6.60046 34 8. 15656 7.05985 6.60910 35 24.99862 23. 14516 21.48722 18.66461 16.37419 14.49825 12.94767 11.65457 10.56682 9.64416 8.85524 8.17550 7.07005 6.61661 25.48884 23. 55625 21.83225 18.90828 16.54685 14.62099 13.03521 11.71719 10.61176 9.67651 8.87859 8. 19241 25.96945 23. 95732 22.16724 19.14258 16.71129 14.73678 13.11702 11.77518 10.65299 9.70592 26.44064 24. 34860 22.49246 19.36786 16.86789 14.84602 13.19347 11.82887 10.69082 9.73265 36 7.07899 6,62314 37 8.89963 8.20751 7. .08683 6.62881 38 8.91859 8.22099 7.09371 6.63375 39 26.90259 24.73034 22.80822 19.58448 17.01704 14.94907 13.26493 11.87858 10.72552 9.75696 8.93567 8.23303 7.09975 6.63805 40 27.35548 25. 10278 23.11477 19.79277 17.15909 15.04630 13.33171 11.92461 10.75736 9.77905 8.95105 8.24378 7.10504 6.64178 45 29.49016 26.83302 24.51871 20.72004 17.77407 15.45583 13.60552 12.10840 10.88120 9.86281 9.00791 8. 28252 7.12322 6.65429 50 31.42361 28. 36231 25.72976 21.48218 18.25593 15.76186 13.80075 12.23348 10.96168 9.91481 9.04165 8.30450 7.13266 6.66051 TABLE 1-3: Present value of an annuity due ofn payments of 1: (P/AD, i, n) 1 - (1 + i)" P/AD = x (1 + i) 2% 2.5% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 14% 15% 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.98039 1.97561 1.97087 1.96154 1.95238 1.94340 1.93458 1.92593 1.91743 1.90909 1.90090 1.89286 1.87719 1.86957 2.94156 2.92742 2.91347 2.88609 2.85941 2.83339 2.80802 2.78326 2.75911 2.73554 2.71252 2.69005 2.64666 2.62571 3.88388 3.82861 4,71710 3.85602 3.77509 3.72325 3.67301 3.62432 3.57710 3.53129 3.48685 3.44371 3.40183 3.32163 3.28323 4.80773 4.76197 4.62990 4.54595 4.46511 4.38721 4.31213 4.23972 4. 16987 4.10245 4.03735 3.91371 3.85498 5.64583 6.50813 6. 5.71346 5.57971 5.45182 5.32948 5.21236 5.10020 4.99271 4,88965 4.79079 4.69590 4.60478 4.43308 4.35216 7 6.60143 6.41719 6.24214 6.07569 5.91732 5.76654 5.62288 5.48592 5.35526 5.23054 5.11141 4.88867 4.78448 7.47199 7.34939 7.23028 7.00205 6.78637 6.58238 6.38929 6.20637 6.03295 5.86842 5.71220 5.56376 5.28830 5.16042 9 8.32548 8.17014 8.01969 7.73274 7.46321 7.20979 6.97130 6.74664 6.53482 6.33493 6.14612 5.96764 5.63886 5.48732 10 9.16224 8.97087 8.78611 8.43533 8.10782 7.80169 7.51523 7.24689 6.99525 6.75902 6.53705 6.32825 5.94637 5.77158 11 9.98259 9.75206 9.53020 9.11090 8.72173 8.36009 8.02358 7.71008 7.41766 7.14457 6.88923 6.65022 6.21612 6.01877 12 10.78685 10.51421 10.25262 9.76048 9.30641 8.88687 8.49867 8.13896 7.80519 7.49506 7.20652 6.93770 6.45273 6.23371 13 11.57534 11.25776 10.95400 10.38507 9.86325 9.38384 8.94269 8.53608 8.16073 7.81369 7.49236 7.19437 6.66029 6.42062 14 12.34837 11.98318 11.63496 10.98565 10.39357 9.85268 9.35765 8.90378 8.48690 8. 10336 7.74987 7.42355 6.84236 6.58315 15 13.10625 12.69091 12.29607 11.56312 10.89864 10.29498 9.74547 9.24424 8.78615 8.36669 7.98187 7.62817 7.00207 6.72448 16 13.84926 13.38138 12.93794 12.11839 11.37966 10.71225 10.10791 9.55948 9.06069 8.60608 8.19087 7.81086 7.14217 6.84737 17 14.57771 14.05500 13.56110 12.65230 11.83777 11.10590 10.44665 9.85137 9.31256 8.82371 8.37916 7.97399 7.26506 6.95423 18 15.29187 14.71220 14.16612 13.16567 12.27407 11.47726 10.76322 10.12164 9.54363 9.02155 8.54879 8.11963 7.37286 7.04716 19 15.99203 15.35336 14.75351 13.65930 12.68959 11.82760 11.05909 10.37189 9.75563 9.20141 8.70162 8.24967 7.46742 7.12797 20 16.67846 15.97889 15.32380 14.13394 13.08532 12.15812 11.33560 10.60360 9.95011 9.36492 8.83929 8.36578 7.55037 7.19823 21 17.35143 16.58916 15.87747 14.59033 13.46221 12.46992 11.59401 10.81815 10.12855 9.51356 8.96333 8.46944 7.62313 7.25933 22 18.01121 17.18455 16.41502 15.02916 13.82115 12.76408 11.83553 11.01680 10.29224 9.64869 9.07507 8.56200 7.68696 7.31246 23 18.65805 17.76541 16.93692 15.45112 14. 16300 13.04158 12.06124 11.20074 10.44243 9.77154 9.17574 8.64465 7.74294 7.35866 24 19.29220 18.33211 17.44361 15.85684 14.48857 13.30338 12.27219 11.37106 10.58021 9.88322 9.26643 8.71843 7.79206 7.39884 25 19.91393 18.88499 17.93554 16.24696 14.79864 13.55036 12.46933 11.52876 10.70661 9.98474 9.34814 8.78432 7.83514 7.43377 26 20.52346 19.42438 18.41315 16.62208 15.09394 13.78336 12.65358 11.67478 10.82258 10.07704 9.42174 8.84314 7.87293 7.46415 27 21.12104 19.95061 18.87684 16.98277 15.37519 14.00317 12.82578 11.80998 10.92897 10.16095 9.48806 8.89566 7.90608 7.49056 28 21.70690 20.46401 19.32703 17.32959 15.64303 14.21053 12.98671 11.93516 11.02658 10.23722 9.54780 8.94255 7.93515 7.51353 29 22.28127 20.96489 19.76411 17.66306 15.89813 14.40616 13.13711 12.05108 11.11613 10.30657 9.60162 8.98442 7.96066 7.53351 30 22.84438 21.45355 20.18845 17.98371 16. 14107 14.59072 13.27767 12.15841 11.19828 10.36961 9.65011 9.02181 7.98304 7.55088 31 23.39646 21.93029 20.60044 18.29203 16.37245 14.76483 13.40904 12.25778 11.27365 10.42691 9.69379 9.05518 8.00266 7.56598 32 23.93770 22.39541 21.00043 18.58849 16.59281 14.92909 13.53181 12.34980 11.34280 10.47901 9.73315 9.08499 8.01988 7.57911 33 24.46833 22.84918 21.38877 18.87355 16.80268 15.08404 13.64656 12.43500 11.40624 10.52638 9.76860 9.11159 8.03498 7.59053 34 24.98856 23.29188 21.76579 19.14765 17.00255 15.23023 13.75379 12.51389 11.46444 10,56943 9.80054 9.13535 8.04823 7.60046 35 25.49859 23.72379 22.13184 19.41120 17.19290 15.36814 13.85401 12.58693 11.51784 10.60857 9.82932 9.15656 8.05985 7.60910 36 25.99862 24. 14516 22.48722 19.66461 17.37419 15.49825 13.94767 12.65457 11.56682 10.64416 9.85524 9.17550 8.07005 7.61661 37 26.48884 24.55625 22.83225 19.90828 17.54685 15.62099 14.03521 12.71719 11.61176 10.67651 9.87859 9.19241 8.07899 7.62314 38 26.96945 24.95732 23.16724 20.14258 17.71129 15.73678 14.11702 12.77518 11.65299 10.70592 9.89963 9.20751 8.08683 7.62881 39 27.44064 25.34860 23.49246 20.36786 17.86789 15.84602 14.19347 12.82887 11.69082 10.73265 9.91859 9.22099 8.09371 7.63375 40 27.90259 25.73034 23.80822 20.58448 18.01704 15.94907 14.26493 12.87858 11.72552 10.75696 9.93567 9.23303 8.09975 7.63805 45 30.07996 27.50385 25.25427 21.54884 18. 66277 16.38318 14.55791 13.07707 11.86051 10.84909 9.99878 9.27642 8.12047 7.65244 50 32.05208 29.07137 26.50166 22.34147 19.16872 16.70757 14.76680 13.21216 11.94823 10.90630 10.03624 9.30104 8.13123 7.65959
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