Round percentages and ratios to the nearest tenth of a percent, dollars to nearest whole dollar. 1. a. ________dollars b. ________dollars c. ________% d. ________dollars Use the attached present and future value tables to answer the following questions: a) Tom needs to have $20,000 in his investment account in 7 years. If his account earns 6% interest per year, how much must he deposit today in order to have $20,000 7 years from now? b) If, instead, Tom deposits $2,000 each year in the account for the next 7 years, how much will he have in the account at the end of 7 years? c) Tom wants to buy a vehicle for the business. The sticker price is $28,000. The dealer is offering him an annual payment plan of $5,873.72 per year for 6 years if he wants to finance the vehicle. What annual interest rate is the dealer charging?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Round percentages and ratios to the nearest tenth of a percent, dollars to nearest whole dollar. 1. a. ________dollars b. ________dollars c. ________% d. ________dollars Use the attached present and future value tables to answer the following questions: a) Tom needs to have $20,000 in his investment account in 7 years. If his account earns 6% interest per year, how much must he deposit today in order to have $20,000 7 years from now? b) If, instead, Tom deposits $2,000 each year in the account for the next 7 years, how much will he have in the account at the end of 7 years? c) Tom wants to buy a vehicle for the business. The sticker price is $28,000. The dealer is offering him an annual payment plan of $5,873.72 per year for 6 years if he wants to finance the vehicle. What annual interest rate is the dealer charging? d) Tom pays $2,400 per year for rent on the first of January each year. He wants to deposit an amount in his 6% investment today that will allow him to draw $2,400 each year for the next 5 years. How much will he need to deposit today in order to draw $2,400 per year for 5 years?
■
Present Value of a Periodic Payment (Annuity)
2%
3% 4%
1.0300 1.0400
1.0000
1.0200
2.0100 2.0200 2.0300 2.0400
3.0301 3.0604 3.0909 3.1216
4.0604 4.1216 4.1836 4.2465
5.1010 5.2040 5.3091 5.4163
6.1520 6.3081 6.4684
6.6330
7.6625 7.8983
7.2135 7.4343
8.2857
8.5830
8.8923 9.2142
9.3685 9.7546
10.159
10.583
10
10.462
10,950
11.464
12.006
11
11.567 12.169 12.808
13.486
12
12.683 13.412
14.192
15.026
13
13,809 14.680
15.618
16,627
14
14.947 15.974 17.086
15
16.097 17.293
18.599
16
20.157
17.258 18.639
18.430 20.012 21.762
17
18 19.615 21.412 23.414
19 20.811 22.841 25.117
20 22.019 24.297 26.870
24 26.973 30.422 34,426
36 43.077 51.994 63.276
Period 1%
1
2
3
4
5
6
7
8
9
6%
7%
8%
9%
5%
1.0500 1.0600
10%
1.1000
1.0700 1.0800 1.0900
2.0500 2,0600 2.0700 2.0800 2.0900 2.1000
3.1525 3.1836 3.2149 3.2464 3.2781 3.3100
4.4399 4.5061 4,5731 4.6410
5.7507
6.9753 7.1533
4.3101 4.3746
5.5256 5.6371
6.8019
8.1420 8.3938
5.8666 5.9847 6.1051
7.3359
7.5233 7.7156
8.6540 8.9228
9.2004
9.4872
9,5491 9.8975 10.260
10.637
11.028
11.436
11.027
11.491 11.978
12.488 13.021
13.579
12.578
13.181
14.487 15.193
15.937
13.816
15.784
14:207
14.972
16.645 17.560
18.531
15.917
16.870 17.888
18.977 20.141
21.384
17.713 18.882
21.495 22.953
24.523
21.015
20.141
22.550
25,129
24.215 26.019
27.975
23.276
27.152 29,361
31.772
25.673
27.888 30.324 33.003
35.950
28.213
30.840 33.750 36.974
40.545
33.999 37.450 41.301
45.599
37.379 41.446 46.018
30.906
33.760
36.786 40.995 45.762 51.160
50,816 58.177 66.765 76.790
119.121 148.913 187.102 236.125
Future Value of an Annuity
18.292 19.599
20.024
21.579
21.825
23.657
23.698 25.840
25.645 28.132
27.671 30.539
29.778 33.066
39.083 44.502
77.598 95.836
51.159
57.275
88.497
299.127
Transcribed Image Text:■ Present Value of a Periodic Payment (Annuity) 2% 3% 4% 1.0300 1.0400 1.0000 1.0200 2.0100 2.0200 2.0300 2.0400 3.0301 3.0604 3.0909 3.1216 4.0604 4.1216 4.1836 4.2465 5.1010 5.2040 5.3091 5.4163 6.1520 6.3081 6.4684 6.6330 7.6625 7.8983 7.2135 7.4343 8.2857 8.5830 8.8923 9.2142 9.3685 9.7546 10.159 10.583 10 10.462 10,950 11.464 12.006 11 11.567 12.169 12.808 13.486 12 12.683 13.412 14.192 15.026 13 13,809 14.680 15.618 16,627 14 14.947 15.974 17.086 15 16.097 17.293 18.599 16 20.157 17.258 18.639 18.430 20.012 21.762 17 18 19.615 21.412 23.414 19 20.811 22.841 25.117 20 22.019 24.297 26.870 24 26.973 30.422 34,426 36 43.077 51.994 63.276 Period 1% 1 2 3 4 5 6 7 8 9 6% 7% 8% 9% 5% 1.0500 1.0600 10% 1.1000 1.0700 1.0800 1.0900 2.0500 2,0600 2.0700 2.0800 2.0900 2.1000 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 4.4399 4.5061 4,5731 4.6410 5.7507 6.9753 7.1533 4.3101 4.3746 5.5256 5.6371 6.8019 8.1420 8.3938 5.8666 5.9847 6.1051 7.3359 7.5233 7.7156 8.6540 8.9228 9.2004 9.4872 9,5491 9.8975 10.260 10.637 11.028 11.436 11.027 11.491 11.978 12.488 13.021 13.579 12.578 13.181 14.487 15.193 15.937 13.816 15.784 14:207 14.972 16.645 17.560 18.531 15.917 16.870 17.888 18.977 20.141 21.384 17.713 18.882 21.495 22.953 24.523 21.015 20.141 22.550 25,129 24.215 26.019 27.975 23.276 27.152 29,361 31.772 25.673 27.888 30.324 33.003 35.950 28.213 30.840 33.750 36.974 40.545 33.999 37.450 41.301 45.599 37.379 41.446 46.018 30.906 33.760 36.786 40.995 45.762 51.160 50,816 58.177 66.765 76.790 119.121 148.913 187.102 236.125 Future Value of an Annuity 18.292 19.599 20.024 21.579 21.825 23.657 23.698 25.840 25.645 28.132 27.671 30.539 29.778 33.066 39.083 44.502 77.598 95.836 51.159 57.275 88.497 299.127
Periods
1
2
13
4
5
16
7
8
9
10
11
Present Value of a Lump Sum Payment (Compound Interest)
12
13
14
15
16
17
18
19
20
1
12
3
4
5
0
Periods (n)
6
7
8
19
10
11
12
13
14
15
16
17
18
PRESENT VALUE TABLE
19
20
Interest rates (r)
1% 2% 3% 4% 5% 6% 7% 8% 9% 10%
0.990 0.980 0.971 0.962 0.952 0.9430.935 0.926 0.917 0.909
0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.826
0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.751
0.961 0.924 0.888 0.855 0.8230.792 0.763 0.735 0.708 0.683
0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.621
0.942 0.888 0.837 0.790 0.746 0705 0.666 0.630 0.596 0.564
0.933 0.871 0.8130.760 0.711 0.665 0.623 0.5830.547 0.513
0.923 0.853 0.789 0.731 0.677 0.627 0.5820.540 0.502 0.467
0.914 0.837 0.766 0.703 0.6450.592 0.544 0.500 0.460 0.424
0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.386
0.896 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.388 0.350
0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.319
0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290
0.870 0.758 0.661 0.577 0.505 0.442 0.3880.340 0.299 0.263
0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.239
0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.218
0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.198
0.836 0.700 0.587 0.494 0.4160.350 0.296 0.250 0.212 0.180
0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.164
0.820 0.673 0.554 0.456 0.377 0.3120.258 0.215 0.178 0.149
Interest rates (r)
1.783 1.759 1.736
2.577 2.531 2.487
3.312 3.240 3.170
3.993 3.890 3.791
1% 2% 3% 4% 5% 6% 7% 8% 9% 10%
0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909
1.970 1.942 1.913 1.886 1.859 1.833 1.808
2.941 2.884 2.829 2.775 2.723 2.673 2.624
3.902 3.808 3.717 3.630 3.546 3.465 3.387
4.853 4.713 4.580 4.452 4.329 4.212 4.100
5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.6234.4864.355
6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868
7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.7475.535 5.335
8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.9955.759
9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145
10.368 9.787 9.253 8.760 8.306 7.887 7.499
11.255 10.575 9.954 9.385 8.863 8.384 7.943
12.134 11.348 10.635 9.986 9.394 8.853 8.358
13.004 12.106 11.296 10.563 9.899 9.295 8.745
13.865 12.849 11.938 11.118 10.380 9.712 9.108
14.718 13.578 12.561 11.652 10.838 10.106 9.447
15.562 14.292 13.166 12.166 11.274 10.4779.763 9.122 8.544 8.022
16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.3728.756 8.201
17.226 15.679 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.365
18.046 16.351 14.878 13.590 12.462 11.470 10.594 9.818 9.129 8.514
8.851 8.313 7.824
Present Value of a Periodic Payment (Annuity)
7.139 6.805 6.495
7.536 7.1616.814
7.904 7.487 7.103
8.244 7.786 7.367
8.559 8.061 7.606
Transcribed Image Text:Periods 1 2 13 4 5 16 7 8 9 10 11 Present Value of a Lump Sum Payment (Compound Interest) 12 13 14 15 16 17 18 19 20 1 12 3 4 5 0 Periods (n) 6 7 8 19 10 11 12 13 14 15 16 17 18 PRESENT VALUE TABLE 19 20 Interest rates (r) 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 0.990 0.980 0.971 0.962 0.952 0.9430.935 0.926 0.917 0.909 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.751 0.961 0.924 0.888 0.855 0.8230.792 0.763 0.735 0.708 0.683 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.942 0.888 0.837 0.790 0.746 0705 0.666 0.630 0.596 0.564 0.933 0.871 0.8130.760 0.711 0.665 0.623 0.5830.547 0.513 0.923 0.853 0.789 0.731 0.677 0.627 0.5820.540 0.502 0.467 0.914 0.837 0.766 0.703 0.6450.592 0.544 0.500 0.460 0.424 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.896 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.388 0.350 0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.319 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.870 0.758 0.661 0.577 0.505 0.442 0.3880.340 0.299 0.263 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.836 0.700 0.587 0.494 0.4160.350 0.296 0.250 0.212 0.180 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.820 0.673 0.554 0.456 0.377 0.3120.258 0.215 0.178 0.149 Interest rates (r) 1.783 1.759 1.736 2.577 2.531 2.487 3.312 3.240 3.170 3.993 3.890 3.791 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 1.970 1.942 1.913 1.886 1.859 1.833 1.808 2.941 2.884 2.829 2.775 2.723 2.673 2.624 3.902 3.808 3.717 3.630 3.546 3.465 3.387 4.853 4.713 4.580 4.452 4.329 4.212 4.100 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.6234.4864.355 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.7475.535 5.335 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.9955.759 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 10.368 9.787 9.253 8.760 8.306 7.887 7.499 11.255 10.575 9.954 9.385 8.863 8.384 7.943 12.134 11.348 10.635 9.986 9.394 8.853 8.358 13.004 12.106 11.296 10.563 9.899 9.295 8.745 13.865 12.849 11.938 11.118 10.380 9.712 9.108 14.718 13.578 12.561 11.652 10.838 10.106 9.447 15.562 14.292 13.166 12.166 11.274 10.4779.763 9.122 8.544 8.022 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.3728.756 8.201 17.226 15.679 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.365 18.046 16.351 14.878 13.590 12.462 11.470 10.594 9.818 9.129 8.514 8.851 8.313 7.824 Present Value of a Periodic Payment (Annuity) 7.139 6.805 6.495 7.536 7.1616.814 7.904 7.487 7.103 8.244 7.786 7.367 8.559 8.061 7.606
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