2. Computer for the Net Present Value using the present value of an annuity. Get the value using table 4. Present value of cash returns discounted at 12% Year 1: .P 3,000 Year 2: .P 2,000 Year 3: .P 5,000
2. Computer for the Net Present Value using the present value of an annuity. Get the value using table 4. Present value of cash returns discounted at 12% Year 1: .P 3,000 Year 2: .P 2,000 Year 3: .P 5,000
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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![2. Computer for the Net Present Value using the present value of an annuity. Get the value using table 4.
Present value of cash returns discounted at 12%
Year 1:
.P 3,000
Year 2:
.P 2,000
Year 3:
.P 5,000
Table 4 - Present value interest factors for an annuity. Formula: PV = [1 - 1/(1+ k)^n] / k
Period
(n)/ per
cent (k)
3%
5%
6%
7%
20%
4%
0.9615 0.9524 0.9434 0.9346
1.8861 1.8594 1.8334 1.8080
14% 15% 16%
0.8772 0.8696 0.8621
1.6467 1.6257 1.6052
3
4
6
7
8
9
10
1%
2%
8%
9% 10% 11% 12% 13%
1 0.9901 0.9804 0.9709
0.9259 0.9174 0.9091 0.9009 0.8929 0.8850
0.8333
2 1.9704 1.9416 1.9135
1.7833 1.7591 1.7355 1.7125 1.6901 1.6681
1.5278
2.9410 2.8839 2.8286 2.7751 2.7232 2.6730 2.6243 2.5771 2.5313 2.4869 2.4437 2.4018 2.3612
2.3216 2.2832 2.2459
2.1065
3.9020 3.8077 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.1024 3.0373 2.9745 2.9137 2.8550 2.7982 2.5887
5 4.8534 4.7135 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6959 3.6048 3.5172 3.4331 3.3522 3.2743 2.9906
5.7955 5.6014 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.2305 4.1114 3.9975 3.8887 3.7845 3.6847 3.3255
6.7282 6.4720 6.2303 6.0021 5.7864 5.5824
5.3893
5.2064 5.0330 4.8684 4.7122 4.5638 4.4226 4.2883 4.1604 4.0386 3.6046
7.6517 7.3255 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 5.1461 4.9676 4.7988 4.6389 4.4873 4.3436 3.8372
8.5660 8.1622 7.7861
7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7590 5.5370 5.3282 5.1317 4.9464 4.7716 4.6065 4.0310
9.4713 8.9826 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.8892 5.6502 5.4262 5.2161 5.0188 4.8332 4.1925
11 10.3676 9.7868 9.2526 8.7605 8.3064 7.8869 7.4987 7.1390 6.8052 6.4951 6.2065 5.9377 5.6869 5.4527 5.2337 5.0286 4.3271
12 11.2551 10.5753 9.9540 9.3851 8.8633 8.3838 7.9427 7.5361 7.1607 6.8137 6.4924 6.1944 5.9176 5.6603 5.4206 5.1971 4.4392
13 12.1337 11.3484 10.6350 9.9856 9.3936 8.8527 8.3577 7.9038 7.4869 7.1034 6.7499 6.4235 6.1218 5.8424 5.5831 5.3423 4.5327
14 13.0037 12.1062 11.2961 10.5631
9.8986 9.2950 8.7455 8.2442 7.7862 7.3667 6.9819 6.6282 6.3025 6.0021 5.7245 5.4675 4.6106
15 13.8651 12.8493 11.9379 11.1184 10.3797 9.7122 9.1079 8.5595 8.0607 7.6061 7.1909 6.8109 6.4624 6.1422 5.8474 5.5755 4.6755
16 14.7179 13.5777 12.5611 11.6523 10.8378 10.1059 9.4466 8.8514 8.3126
7.8237 7.3792 6.9740 6.6039 6.2651 5.9542 5.6685 4.7296
17 15.5623 14.2919 13.1661 12.1657 11.2741 10.4773 9.7632 9.1216 8.5436 8.0216 7.5488 7.1196 6.7291 6.3729 6.0472 5.7487 4.7746
18 16.3983 14.9920
13.7535 12.6593 11.6896 10.8276 10.0591 9.3719 8.7556 8.2014 7.7016 7.2497 6.8399 6.4674 6.1280 5.8178
19 17.2260 15.6785 14.3238 13.1339 12.0853 11.1581 10.3356 9.6036 8.9501 8.3649 7.8393 7.3658 6.9380 6.5504 6.1982 5.8775 4.8435
20 18.0456 16.3514 14.8775 13.5903 12.4622 11.4699 10.5940 9.8181 9.1285 8.5136 7.9633 7.4694 7.0248 6.6231 6.2593 5.9288 4.8696
21
18.8570 17.0112 15.4150 14.0292 12.8212 11.7641 10.8355 10.0168 9.2922 8.6487 8.0751 7.5620 7.1016 6.6870 6.3125 5.9731 4.8913
22 19.6604 17.6580 15.9369 14.4511 13.1630 12.0416 11.0612 10.2007 9.4424 8.7715 8.1757 7.6446 7.1695 6.7429 6.3587 6.0113 4.9094
20.4558 18.2922 16.4436 14.8568 13.4886 12.3034 11.2722 10.3711 9.5802 8.8832 8.2664 7.7184 7.2297 6.7921 6.3988 6.0442 4.9245
24 21.2434 18.9139 16.9355 15.2470 13.7986 12.5504 11.4693 10.5288 9.7066 8.9847 8.3481 7.7843 7.2829 6.8351 6.4338 6.0726 4.9371
25 22.0232 19.5235 17.4131 15.6221 14.0939 12.7834 11.6536 10.6748 9.8226 9.0770 8.4217 7.8431 7.3300
4.9476
4.8122
23
6.8729 6.4641 6.0971](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0bb68008-9b0b-448a-bd06-49a038184f93%2F5d9e6288-cd49-470e-925c-b69268ff30bd%2Fl018p8e_processed.png&w=3840&q=75)
Transcribed Image Text:2. Computer for the Net Present Value using the present value of an annuity. Get the value using table 4.
Present value of cash returns discounted at 12%
Year 1:
.P 3,000
Year 2:
.P 2,000
Year 3:
.P 5,000
Table 4 - Present value interest factors for an annuity. Formula: PV = [1 - 1/(1+ k)^n] / k
Period
(n)/ per
cent (k)
3%
5%
6%
7%
20%
4%
0.9615 0.9524 0.9434 0.9346
1.8861 1.8594 1.8334 1.8080
14% 15% 16%
0.8772 0.8696 0.8621
1.6467 1.6257 1.6052
3
4
6
7
8
9
10
1%
2%
8%
9% 10% 11% 12% 13%
1 0.9901 0.9804 0.9709
0.9259 0.9174 0.9091 0.9009 0.8929 0.8850
0.8333
2 1.9704 1.9416 1.9135
1.7833 1.7591 1.7355 1.7125 1.6901 1.6681
1.5278
2.9410 2.8839 2.8286 2.7751 2.7232 2.6730 2.6243 2.5771 2.5313 2.4869 2.4437 2.4018 2.3612
2.3216 2.2832 2.2459
2.1065
3.9020 3.8077 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.1024 3.0373 2.9745 2.9137 2.8550 2.7982 2.5887
5 4.8534 4.7135 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6959 3.6048 3.5172 3.4331 3.3522 3.2743 2.9906
5.7955 5.6014 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.2305 4.1114 3.9975 3.8887 3.7845 3.6847 3.3255
6.7282 6.4720 6.2303 6.0021 5.7864 5.5824
5.3893
5.2064 5.0330 4.8684 4.7122 4.5638 4.4226 4.2883 4.1604 4.0386 3.6046
7.6517 7.3255 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 5.1461 4.9676 4.7988 4.6389 4.4873 4.3436 3.8372
8.5660 8.1622 7.7861
7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7590 5.5370 5.3282 5.1317 4.9464 4.7716 4.6065 4.0310
9.4713 8.9826 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.8892 5.6502 5.4262 5.2161 5.0188 4.8332 4.1925
11 10.3676 9.7868 9.2526 8.7605 8.3064 7.8869 7.4987 7.1390 6.8052 6.4951 6.2065 5.9377 5.6869 5.4527 5.2337 5.0286 4.3271
12 11.2551 10.5753 9.9540 9.3851 8.8633 8.3838 7.9427 7.5361 7.1607 6.8137 6.4924 6.1944 5.9176 5.6603 5.4206 5.1971 4.4392
13 12.1337 11.3484 10.6350 9.9856 9.3936 8.8527 8.3577 7.9038 7.4869 7.1034 6.7499 6.4235 6.1218 5.8424 5.5831 5.3423 4.5327
14 13.0037 12.1062 11.2961 10.5631
9.8986 9.2950 8.7455 8.2442 7.7862 7.3667 6.9819 6.6282 6.3025 6.0021 5.7245 5.4675 4.6106
15 13.8651 12.8493 11.9379 11.1184 10.3797 9.7122 9.1079 8.5595 8.0607 7.6061 7.1909 6.8109 6.4624 6.1422 5.8474 5.5755 4.6755
16 14.7179 13.5777 12.5611 11.6523 10.8378 10.1059 9.4466 8.8514 8.3126
7.8237 7.3792 6.9740 6.6039 6.2651 5.9542 5.6685 4.7296
17 15.5623 14.2919 13.1661 12.1657 11.2741 10.4773 9.7632 9.1216 8.5436 8.0216 7.5488 7.1196 6.7291 6.3729 6.0472 5.7487 4.7746
18 16.3983 14.9920
13.7535 12.6593 11.6896 10.8276 10.0591 9.3719 8.7556 8.2014 7.7016 7.2497 6.8399 6.4674 6.1280 5.8178
19 17.2260 15.6785 14.3238 13.1339 12.0853 11.1581 10.3356 9.6036 8.9501 8.3649 7.8393 7.3658 6.9380 6.5504 6.1982 5.8775 4.8435
20 18.0456 16.3514 14.8775 13.5903 12.4622 11.4699 10.5940 9.8181 9.1285 8.5136 7.9633 7.4694 7.0248 6.6231 6.2593 5.9288 4.8696
21
18.8570 17.0112 15.4150 14.0292 12.8212 11.7641 10.8355 10.0168 9.2922 8.6487 8.0751 7.5620 7.1016 6.6870 6.3125 5.9731 4.8913
22 19.6604 17.6580 15.9369 14.4511 13.1630 12.0416 11.0612 10.2007 9.4424 8.7715 8.1757 7.6446 7.1695 6.7429 6.3587 6.0113 4.9094
20.4558 18.2922 16.4436 14.8568 13.4886 12.3034 11.2722 10.3711 9.5802 8.8832 8.2664 7.7184 7.2297 6.7921 6.3988 6.0442 4.9245
24 21.2434 18.9139 16.9355 15.2470 13.7986 12.5504 11.4693 10.5288 9.7066 8.9847 8.3481 7.7843 7.2829 6.8351 6.4338 6.0726 4.9371
25 22.0232 19.5235 17.4131 15.6221 14.0939 12.7834 11.6536 10.6748 9.8226 9.0770 8.4217 7.8431 7.3300
4.9476
4.8122
23
6.8729 6.4641 6.0971
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