, what is the expected NPV of the equipment?

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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Question
22
ements
ons
ents
ock
VHLCentral
Your company is evaluating whether to purchase an equipment or not. The initial cost
is $41,238. According to your estimate, the equipment can have annual savings of
$6,005 with 0.1 possibility or have annual savings of $5,289. The useful life of the
equipment is 10 years, and with equal chance to have a salvage value of $18,572 or
$15,475. Given MARR = 6%, what is the expected NPV of the equipment?
V
1
2
3
4
9
7
N
6
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
TRAZARAAR E223
25
26
27
28
29
30
31
33
34
38
40
45
30
55
60
45
70
75
ww
XS
828
Single Payment
Compound
Amount
Factor
Find F
Given P
F/P
1.060
1.124
1.191
1.262
1.338
1419
1.504
1.394
1.689
1.791
1.898
2012
2.133
2261
2.397
2540
2.693
2.854
3,026
3.207
3.400
3.604
3.820
4049
4.292
4.549
4.822
5.1312
5418
5.743
6.068
6.453
6.841
7,251
7.666
10286
13.765
18420
24.650
32.988
44145
39 076
79,057
105.796
141578
189.464
253.545
339 300
Present
Worth
Factor
Find P
Given F
P/F
9434
8900
3396
7921
7473
7050
1099
6274
3919
5584
3268
4970
4688
4423
4173
3936
3714
3503
3305
3118
2942
2775
2618
2470
2330
2198
2074
1956
1846
1741
1643
1550
1462
1379
1301
0972
0227
0543
0406
0303
0227
0169
0126
00945
90000
00528
00394
Sinking
Fund
Factor
Find A
Given F
AF
10000
4854
3141
2286
1774
1434
1191
1010
0870
0799
0668
0593
0530
0476
0430
0390
15X0
0324
0296
0272
0250
0230
0213
0197
0182
0169
0157
0146
0136
0120
1110
0110
0103
00960
DONYT
00646
00470
00344
00254
00188
00199
00103
00077
00057
00043
00032
00024
0001
Compound Interest Factors
Uniform Payment Series
Capital
Compound
Recovery
Amount
Factor
Find F
Factor
Find A
Given P
A/P
Given A
FIA
1.0600
5454
3741
2886
2374
2034
1791
1610
1470
1359
1268
1193
1130
1076
1000
0990
0954
0924
0896
0872
0850
08.30
0813
0797
01782
0769
0757
0746
0736
0726
0718
0710
0203
0696
0690
$990
0647
0634
0625
0619
0614
0190
8090
9000
0604
0603
0602
0602
1.000
2060
3.184
4.375
5637
6.975
8.394
9.897
11.491
13.181
14.972
16.870
18.882
21.015
21.276
25.672
28.213
30.906
33.760
36.786
39.993
43.392
46.996
50.815
54864
59.156
63.706
68.528
73.640
79.058
84801
90390
97.343
181301
111435
154.762
212.743
290335
394171
533.126
719080
967.928
13009
17466
23430
31411
42091
36383
Present
Worth
Factor
Find P
Given A
P/A
0,143
1.833
2673
3.465
4212
4.917
3.382
6210
6.802
7.360
7.887
8.384
8.853
9.295
9712
10.106
10.477
10.828
11.158
11.470
11.764
12042
12.303
12.550
12.783
13.003
13.211
13.406
13591
13765
13.929
14.084
14.230
HUMA
14498
15.046
15.456
13.762
15.991
16.161
16.260
16.383
16.456
16.500
16.349
16379
16.601
16.618
Arithmetic Gradient
Gradient
Present
Worth
Find P
Given G
P/G
Gradient
Uniform
Series
Find A
Given G
A/G
0
0485
0.961
1.427
1.104
2.330
2.768
3.195
3.613
4,022
4.421
4.811
5.192
1955.
5.926
6.279
6.624
6.960
7.287
7.605
7.915
8.217
8.510
8.795
9072
9.341
9.603
9.857
10.103
10342
10.574
10.799
11.017
11.228
11.432
12.359
13.141
13.796
14341
14.791
15.160
15:461
15,706
15.900
16.062
16.189
16.290
16.371
0
0.890
2360
4.945
7.914
11.499
15.450
19.841
24.577
29.602
34.870
40.337
45.963
51.713
57.554
63.459
69.401
75.357
81.300
87.230
93.113
98.941
104,700
110.381
115.973
147286
152.000
156.768
161.319
165.743
21
21
23
24
25
121,468 26
126.360 27
132.142 28
29
137.309
142 359
185.957
201109
217457
229.322
239,043
246.945
253.327
238453
262.549
265.810
268.395
270,437
212047 100
95
2332282828
GARR
30
18
19
20
31
32
33
34
35
40
45
50
55
09
65
70
10
11
75
12
13
14
15
16
17
90
9
7
Transcribed Image Text:22 ements ons ents ock VHLCentral Your company is evaluating whether to purchase an equipment or not. The initial cost is $41,238. According to your estimate, the equipment can have annual savings of $6,005 with 0.1 possibility or have annual savings of $5,289. The useful life of the equipment is 10 years, and with equal chance to have a salvage value of $18,572 or $15,475. Given MARR = 6%, what is the expected NPV of the equipment? V 1 2 3 4 9 7 N 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 TRAZARAAR E223 25 26 27 28 29 30 31 33 34 38 40 45 30 55 60 45 70 75 ww XS 828 Single Payment Compound Amount Factor Find F Given P F/P 1.060 1.124 1.191 1.262 1.338 1419 1.504 1.394 1.689 1.791 1.898 2012 2.133 2261 2.397 2540 2.693 2.854 3,026 3.207 3.400 3.604 3.820 4049 4.292 4.549 4.822 5.1312 5418 5.743 6.068 6.453 6.841 7,251 7.666 10286 13.765 18420 24.650 32.988 44145 39 076 79,057 105.796 141578 189.464 253.545 339 300 Present Worth Factor Find P Given F P/F 9434 8900 3396 7921 7473 7050 1099 6274 3919 5584 3268 4970 4688 4423 4173 3936 3714 3503 3305 3118 2942 2775 2618 2470 2330 2198 2074 1956 1846 1741 1643 1550 1462 1379 1301 0972 0227 0543 0406 0303 0227 0169 0126 00945 90000 00528 00394 Sinking Fund Factor Find A Given F AF 10000 4854 3141 2286 1774 1434 1191 1010 0870 0799 0668 0593 0530 0476 0430 0390 15X0 0324 0296 0272 0250 0230 0213 0197 0182 0169 0157 0146 0136 0120 1110 0110 0103 00960 DONYT 00646 00470 00344 00254 00188 00199 00103 00077 00057 00043 00032 00024 0001 Compound Interest Factors Uniform Payment Series Capital Compound Recovery Amount Factor Find F Factor Find A Given P A/P Given A FIA 1.0600 5454 3741 2886 2374 2034 1791 1610 1470 1359 1268 1193 1130 1076 1000 0990 0954 0924 0896 0872 0850 08.30 0813 0797 01782 0769 0757 0746 0736 0726 0718 0710 0203 0696 0690 $990 0647 0634 0625 0619 0614 0190 8090 9000 0604 0603 0602 0602 1.000 2060 3.184 4.375 5637 6.975 8.394 9.897 11.491 13.181 14.972 16.870 18.882 21.015 21.276 25.672 28.213 30.906 33.760 36.786 39.993 43.392 46.996 50.815 54864 59.156 63.706 68.528 73.640 79.058 84801 90390 97.343 181301 111435 154.762 212.743 290335 394171 533.126 719080 967.928 13009 17466 23430 31411 42091 36383 Present Worth Factor Find P Given A P/A 0,143 1.833 2673 3.465 4212 4.917 3.382 6210 6.802 7.360 7.887 8.384 8.853 9.295 9712 10.106 10.477 10.828 11.158 11.470 11.764 12042 12.303 12.550 12.783 13.003 13.211 13.406 13591 13765 13.929 14.084 14.230 HUMA 14498 15.046 15.456 13.762 15.991 16.161 16.260 16.383 16.456 16.500 16.349 16379 16.601 16.618 Arithmetic Gradient Gradient Present Worth Find P Given G P/G Gradient Uniform Series Find A Given G A/G 0 0485 0.961 1.427 1.104 2.330 2.768 3.195 3.613 4,022 4.421 4.811 5.192 1955. 5.926 6.279 6.624 6.960 7.287 7.605 7.915 8.217 8.510 8.795 9072 9.341 9.603 9.857 10.103 10342 10.574 10.799 11.017 11.228 11.432 12.359 13.141 13.796 14341 14.791 15.160 15:461 15,706 15.900 16.062 16.189 16.290 16.371 0 0.890 2360 4.945 7.914 11.499 15.450 19.841 24.577 29.602 34.870 40.337 45.963 51.713 57.554 63.459 69.401 75.357 81.300 87.230 93.113 98.941 104,700 110.381 115.973 147286 152.000 156.768 161.319 165.743 21 21 23 24 25 121,468 26 126.360 27 132.142 28 29 137.309 142 359 185.957 201109 217457 229.322 239,043 246.945 253.327 238453 262.549 265.810 268.395 270,437 212047 100 95 2332282828 GARR 30 18 19 20 31 32 33 34 35 40 45 50 55 09 65 70 10 11 75 12 13 14 15 16 17 90 9 7
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