Future Value of a Lump-Sum Rate of interest per period in percent Periods ½% 3%
ID: 2583547 • Letter: F
Question
Future Value of a Lump-Sum
Rate of interest per period in percent
Periods
½%
3%
5%
6%
8%
9%
10%
12%
15%
20%
3
1.0151
1.0927
1.1576
1.1910
1.2597
1.2950
1.3310
1.4049
1.5209
1.7280
4
1.0202
1.1255
1.2155
1.2625
1.3605
1.4116
1.4641
1.5735
1.7490
2.0736
5
1.0253
1.1593
1.2783
1.3382
1.4693
1.5386
1.6105
1.7623
2.0114
2.4883
6
1.0304
1.1941
1.3401
1.4185
1.5869
1.6771
1.7716
1.9738
2.3131
2.9860
7
1.0355
1.2299
1.4071
1.5036
1.7138
1.8280
1.9487
2.2107
2.6600
3.5832
8
1.0407
1.2668
1.4775
1.5939
1.8510
1.9926
2.1436
2.4760
3.0590
4.2998
9
1.0459
1.3048
1.5513
1.6895
1.9990
2.1719
2.3579
2.7731
3.5179
5.1598
10
1.0511
1.3439
1.6289
1.7909
2.1589
2.3674
2.5938
3.1059
4.0456
6.1917
12
1.0617
1.4257
1.7959
2.0122
2.5182
2.8127
3.1384
3.8960
5.3503
8.9161
15
1.0777
1.5580
2.0789
2.3966
3.1722
3.6425
4.1773
5.4736
8.1371
15.4070
16
1.0831
1.6047
2.1829
2.5404
3.4259
3.9703
4.5950
6.1304
9.3576
18.4884
17
1.0885
1.6529
2.2920
2.6928
3.7000
4.3276
5.0545
6.8660
10.7613
22.1861
18
1.0939
1.7024
2.4066
2.8543
3.9960
4.7171
5.5599
7.6900
12.3755
26.6233
19
1.0994
1.7535
2.5270
3.0256
4.3157
5.1417
6.1159
8.6128
14.2318
31.9480
20
1.1049
1.8061
2.6533
3.2071
4.6610
5.6044
6.7275
9.6463
16.3665
38.3376
21
1.1104
1.8603
2.7860
3.3996
5.0338
6.1088
7.4002
10.8038
18.8215
46.0051
22
1.1160
1.9161
2.9253
3.6035
5.4365
6.6586
8.1403
12.1003
21.6447
55.2061
23
1.1216
1.9736
3.0715
3.8197
5.8715
7.2579
8.9543
13.5523
24.8915
66.2474
24
1.1272
2.0325
3.2251
4.0489
6.3412
7.9111
9.8497
15.1786
28.6252
79.4969
25
1.1328
2.0938
3.3864
4.2919
6.8485
8.6231
10.8347
17.0001
32.9190
95.3962
60
1.3489
5.8916
18.6792
32.9877
101.257
176.031
304.482
897.597
4383.99
56347.5
Present Value of a Lump-Sum
Rate of interest per period in percent
Periods
½%
3%
5%
6%
8%
9%
10%
12%
15%
20%
3
0.9852
0.9151
0.8638
0.8396
0.7938
0.7722
0.7513
0.7118
0.6575
0.5787
4
0.9803
0.8885
0.8227
0.7920
0.7350
0.7084
0.6830
0.6355
0.5718
0.4823
5
0.9754
0.8626
0.7835
0.7473
0.6806
0.6499
0.6209
0.5674
0.4972
0.4019
6
0.9705
0.8375
0.7462
0.7050
0.6311
0.5963
0.5645
0.5066
0.4323
0.3349
7
0.9657
0.8131
0.7107
0.6651
0.5835
0.5470
0.5132
0.4523
0.3759
0.2791
8
0.9609
0.7894
0.6768
0.6274
0.5403
0.5019
0.4665
0.4039
0.3269
0.2326
9
0.9561
0.7664
0.6446
0.5919
0.5003
0.4604
0.4241
0.3606
0.2843
0.1938
10
0.9514
0.7441
0.6139
0.5584
0.4632
0.4224
0.3855
0.3220
0.2472
0.1615
12
0.9419
0.7014
0.5568
0.4970
0.3971
0.3555
0.3186
0.2567
0.1869
0.1122
15
0.9279
0.6419
0.4810
0.4173
0.3152
0.2745
0.2394
0.1827
0.1229
0.0649
16
0.9233
0.6232
0.4581
0.3937
0.2919
0.2519
0.2176
0.1631
0.1069
0.0541
17
0.9187
0.6050
0.4363
0.3714
0.2703
0.2311
0.1978
0.1456
0.0929
0.0451
18
0.9141
0.5874
0.4155
0.3503
0.2503
0.2120
0.1799
0.1300
0.0808
0.0376
19
0.9096
0.5703
0.3957
0.3305
0.2317
0.1945
0.1635
0.1161
0.0703
0.0313
20
0.9051
0.5537
0.3769
0.3118
0.2146
0.1784
0.1486
0.1037
0.0611
0.0261
21
0.9006
0.5375
0.3589
0.2942
0.1987
0.1637
0.1351
0.0926
0.0531
0.0217
22
0.8961
0.5219
0.3418
0.2775
0.1839
0.1502
0.1228
0.0826
0.0462
0.0181
23
0.8917
0.5067
0.3256
0.2618
0.1703
0.1378
0.1117
0.0738
0.0402
0.0151
24
0.8872
0.4920
0.3101
0.2470
0.1577
0.1264
0.1015
0.0659
0.0349
0.0126
25
0.8828
0.4776
0.2953
0.2330
0.1460
0.1160
0.0923
0.0588
0.0304
0.0105
60
0.7414
0.1697
0.0535
0.0303
0.0099
0.0057
0.0033
0.0011
0.0002
0.0001
Future Value of an Annuity
Rate of interest per period in percent
Periods
½%
3%
5%
6%
8%
9%
10%
12%
15%
20%
3
3.0150
3.0909
3.1525
3.1836
3.2464
3.2781
3.3100
3.3744
3.4725
3.6400
4
4.0301
4.1836
4.3101
4.3746
4.5061
4.5731
4.6410
4.7793
4.9934
5.3680
5
5.0503
5.3091
5.5256
5.6371
5.8667
5.9847
6.1051
6.3529
6.7424
7.4416
6
6.0755
6.4684
6.8019
6.9753
7.3359
7.5233
7.7156
8.1152
8.7538
9.9299
7
7.1059
7.6625
8.1420
8.3938
8.9228
9.2004
9.4872
10.0890
11.0668
12.9159
8
8.1414
8.8923
9.5491
9.8975
10.6366
11.0285
11.4359
12.2997
13.7268
16.4991
9
9.1821
10.1591
11.0266
11.4913
12.4876
13.0210
13.5795
14.7757
16.7858
20.7989
10
10.2280
11.4639
12.5800
13.1808
14.4866
15.1929
15.9374
17.5487
20.3037
25.9587
12
12.3356
14.1920
15.9171
16.8699
18.9771
20.1407
21.3843
24.1331
29.0017
39.5805
15
15.5366
18.5990
21.5786
23.2760
27.1521
29.3609
31.7725
37.2797
47.5804
72.0351
16
16.6142
20.1569
23.6575
25.6725
30.3243
33.0034
35.9497
42.7533
55.7175
87.4421
17
17.6973
21.7616
25.8404
28.2189
33.7502
36.9737
40.5447
48.8837
65.0751
105.931
18
18.7858
23.4144
28.1324
30.9057
37.4502
41.3013
45.5992
55.7497
75.8364
128.117
19
19.8797
25.1169
30.5390
33.7599
41.4463
46.0185
51.1591
63.4397
88.2118
154.740
20
20.9791
26.8704
33.0659
36.7856
45.7620
51.1601
57.2750
72.0524
102.444
186.688
21
22.0840
28.6765
35.7193
39.9927
50.4229
56.7645
64.0025
81.6987
118.810
225.026
22
23.1944
30.5368
38.5052
43.3923
55.4568
62.8733
71.4027
92.5026
137.632
271.031
23
24.3104
32.4529
41.4305
46.9958
60.8933
69.5319
79.5430
104.603
159.276
326.237
24
25.4320
34.4265
44.5020
50.8156
66.7648
76.7898
88.4973
118.155
184.168
392.484
25
26.5591
36.4593
47.7271
54.8645
73.1059
84.7009
98.3471
133.334
212.793
471.981
60
69.7700
163.053
353.584
533.128
1253.21
1944.79
3034.82
7471.64
29219.9
281732
Present Value of an Annuity
Rate of interest per period in percent
Periods
½%
3%
5%
6%
8%
9%
10%
12%
15%
20%
3
2.9703
2.8286
2.7233
2.6730
2.5771
2.5313
2.4869
2.4018
2.2832
2.1065
4
3.9505
3.7171
3.5460
3.4650
3.3121
3.2397
3.1699
3.0374
2.8550
2.5887
5
4.9259
4.5797
4.3295
4.2125
3.9927
3.8897
3.7908
3.6048
3.3522
2.9906
6
5.8964
5.4172
5.0757
4.9173
4.6229
4.4859
4.3553
4.1114
3.7845
3.3255
7
6.8621
6.2303
5.7864
5.5824
5.2064
5.0330
4.8684
4.5638
4.1604
3.6046
8
7.8230
7.0197
6.4632
6.2098
5.7466
5.5348
5.3349
4.9676
4.4873
3.8372
9
8.7791
7.7861
7.1078
6.8017
6.2469
5.9953
5.7590
5.3283
4.7716
4.0310
10
9.7304
8.5302
7.7217
7.3601
6.7101
6.4177
6.1446
5.6502
5.0188
4.1930
12
11.6189
9.9540
8.8633
8.3838
7.5361
7.1607
6.8137
6.1944
5.4206
4.4392
15
14.4166
11.9379
10.3797
9.7123
8.5595
8.0607
7.6061
6.8109
5.8474
4.6755
16
15.3399
12.5611
10.8378
10.1059
8.8514
8.3126
7.8237
6.9740
5.9542
4.7296
17
16.2586
13.1661
11.2741
10.4773
9.1216
8.5436
8.0215
7.1196
6.0472
4.7746
18
17.1728
13.7535
11.6896
10.8276
9.3719
8.7556
8.2014
7.2497
6.1280
4.8122
19
18.0824
14.3238
12.0853
11.1581
9.6036
8.9501
8.3649
7.3658
6.1982
4.8435
20
18.9874
14.8775
12.4622
11.4699
9.8182
9.1286
8.5135
7.4694
6.2593
4.8696
21
19.8880
15.4150
12.8212
11.7641
10.0168
9.2922
8.6487
7.5620
6.3125
4.8913
22
20.7841
15.9369
13.1630
12.0416
10.2007
9.4424
8.7715
7.6446
6.3587
4.9094
23
21.6757
16.4436
13.4886
12.3034
10.3711
9.5802
8.8832
7.7184
6.3988
4.9245
24
22.5629
16.9355
13.7986
12.5504
10.5288
9.7066
8.9847
7.7843
6.4338
4.9371
25
23.4456
17.4132
14.0939
12.7834
10.6748
9.8226
9.0770
7.8431
6.4641
4.9476
60
51.7255
27.6756
18.9293
16.1614
12.3766
11.0480
9.9672
8.3241
6.6652
4.9999
Future Value of a Lump-Sum
Explanation / Answer
Lease Liability = annual lease payments xCumulative Present Value of an Annuity @20% for 10 year
= $10,000 x 4.1930 = $41,930
Date Payment Interest Reduction in principal Lease Liability 01-01-2018 $41,930 31-12-2018 $10,000 $41,930 x 10%= $4,193 $10,000 - $4,193
=$5,807 $36,123 31-12-219 $10,000 $36,123 x 10%
= $3,612 $10,000 - $3,612
=$6,388 $29,735
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