Determine the present value of $170,000 to be received at the end of each of four years, using an interest rate of 5.5%, compounded annually, as a. By successive computations, using the present value of $1 table in Exhibit 5. Round to the nearest whole dollar. First year Second Year Third Year Fourth Year Total present value b. By using the present value of an annuity of $1 table in Exhibit 7. Round to the nearest whole dollar. c. Why is the present value of the four $170,000 cash receipts less than the $680,000 to be received in the future?
Determine the present value of $170,000 to be received at the end of each of four years, using an interest rate of 5.5%, compounded annually, as a. By successive computations, using the present value of $1 table in Exhibit 5. Round to the nearest whole dollar. First year Second Year Third Year Fourth Year Total present value b. By using the present value of an annuity of $1 table in Exhibit 7. Round to the nearest whole dollar. c. Why is the present value of the four $170,000 cash receipts less than the $680,000 to be received in the future?
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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
Transcribed Image Text:Present Value of an Annuity
Determine the present value of $170,000 to be received at the end of each of four years, using an interest rate of 5.5%, compounded annually, as follows:
a. By successive computations, using the present value of $1 table in Exhibit 5. Round to the nearest whole dollar.
First year
Second Year
Third Year
Fourth Year
Total present value
b. By using the present value of an annuity of $1 table in Exhibit 7. Round to the nearest whole dollar.
c. Why is the present value of the four $170,000 cash receipts less than the $680,000 to be received in the future?
The present value is less due to
over the 4 years.
Exhibit 5 Present Value of $1 at Compound Interest
Periods
4%
4%%
5%
5%%
6%
62%
7%
10%
11%
12%
13%
0.96154
0.956940
0.95238
0.94787
0.94340
0.93897
0.93458
0.90909
0.90090
0.89286
0.88496
2
0.92456
0.915730
0.90703
0.89845
0.89000
0.88166
0.87344
0.82645
0.81162
0.79719
0.78315
3
0.88900
0.876300
0.86384
0.85161
0.83962
0.82785
0.81630
0.75131
0.73119
0.71178
0.69305
4
0.85480
0.838560
0.82270
0.80722
0.79209
0.77732
0.76290
0.68301
0.65873
0.63552
0.61332
0.82193
0.802450
0.78353
0.76513
0.74726
0.72988
0.71299
0.62092
0.59345
0.56743
0.54276
0.79031
0.767900
0.74622
0.72525
0.70496
0.68533
0.66634
0.56447
0.53464
0.50663
0.48032
7
0.75992
0.734830
0.71068
0.68744
0.66506
0.64351
0.62275
0.51316
0.48166
0.45235
0.42506
8
0.73069
0.703190
0.67684
0.65160
0.62741
0.60423
0.58201
0.46651
0.43393
0.40388
0.37616
9
0.70259
0.672900
0.64461
0.61763
0.59190
0.56735
0.54393
0.42410
0.39092
0.36061
0.33288
10
0.67556
0.643930
0.61391
0.58543
0.55839
0.53273
0.50835
0.38554
0.35218
0.32197
0.29459
Exhibit 7 Present Value of an Annuity of $1 at Compound Interest
Periods
4%
4%%
5%
5%%
6%
64%
7%
10%
11%
12%
13%
0.96154
0.95694
0.95238
0.94787
0.94340
0.93897
0.93458
0.90909
0.90090
0.89286
0.88496
2
1.88609
1.87267
1.85941
1.84632
1.83339
1.82063
1.80802
1.73554
1.71252
1.69005
1.66810
3
2.77509
2.74896
2.72325
2.69793
2.67301
2.64848
2.62432
248685
244371
2.40183
2.36115
4
3.62990
3.58753
3.54595
3.50515
3.46511
3.42580
3.38721
3.16987
3.10245
3.03735
2.97447
4.45182
4.38998
4.32948
4.27028
4.21236
4.15568
4.10020
3.79079
3.69590
3.60478
3.51723
5.24214
5.15787
5.07569
4.99553
4.91732
4.84101
4.76654
4.35526
4.23054
4.11141
3.99755
7
6.00205
5.89270
5.78637
5.68297
5.58238
5.48452
5.38929
4.86842
4.71220
4.56376
4.42261
8.
6.73274
6.59589
6.46321
6.33457
6.20979
6.08875
5.97130
5.33493
5.14612
4.96764
4.79677
7.43533
7.26879
7.10782
6.95220
6.80169
6.65610
6.51523
5.75902
5.53705
5.32825
5.13166
10
8.11090
7.91272
7.72173
7.53763
7.36009
7.18883
7.02358
6.14457
5.88923
5.65022
5.42624
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