ENGINEERING ECONOMIC ENHANCED EBOOK
ENGINEERING ECONOMIC ENHANCED EBOOK
14th Edition
ISBN: 9780190931940
Author: NEWNAN
Publisher: OXF
Question
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Chapter 8, Problem 9P

(a)

To determine

To construct:A choice table for interest tables from 0% to 100%

(a)

Expert Solution
Check Mark

Answer to Problem 9P

From table below, from 0% to 7.98%, South end + North end should be preferred on account of higher NPV. Beyond that from 7.98% to 100%, South end should be preferred.

Explanation of Solution

NPV of South end =$285,000(P/A,i,5)

NPV of South & North end =950,000+395,000(P/A,i,5)+750,000(P/F,i,5)

Choice table for interest from 0% to 100%

    Interest rate(P/A,i,5)(P/F,i,5)South endSouth + North end
    0% 5.00 1.00 1,425,000 1,775,000
    1% 4.85 0.95 1,383,228 1,680,705
    2% 4.71 0.91 1,343,336 1,591,115
    3% 4.58 0.86 1,305,217 1,505,941
    4% 4.45 0.82 1,268,769 1,424,915
    5% 4.33 0.78 1,233,901 1,347,788
    6% 4.21 0.75 1,200,524 1,274,327
    7% 4.10 0.71 1,168,556 1,204,318
    8% 3.99 0.68 1,137,922 1,137,558
    9% 3.89 0.65 1,108,551 1,073,861
    10%3.79 0.62 1,080,374 1,013,052
    11% 3.70 0.59 1,053,331 954,968
    12% 3.60 0.57 1,027,361 899,457
    13% 3.52 0.54 1,002,411 846,376
    14% 3.43 0.52 978,428 795,593
    15% 3.35 0.50 955,364 746,984
    16% 3.27 0.48 933,174 700,431
    17% 3.20 0.46 911,814 655,825
    18% 3.13 0.44 891,244 613,064
    19% 3.06 0.42 871,426 572,053
    20% 2.99 0.40 852,324 532,700
    21% 2.93 0.39 833,906 494,921
    22% 2.86 0.37 816,137 458,637
    23% 2.80 0.36 798,990 423,773
    24% 2.75 0.34 782,435 390,258
    25% 2.69 0.33 766,445 358,026
    26% 2.64 0.31 750,995 327,014
    27% 2.58 0.30 736,062 297,164
    28% 2.53 0.29 721,622 268,421
    29% 2.48 0.28 707,654 240,732
    30% 2.44 0.27 694,137 214,047
    31% 2.39 0.26 681,053 188,320
    32% 2.35 0.25 668,383 163,507
    33% 2.30 0.24 656,110 139,566
    34% 2.26 0.23 644,217 116,458
    35% 2.22 0.22 632,689 94,145
    36% 2.18 0.21 621,510 72,592
    37% 2.14 0.21 610,668 51,766
    38% 2.11 0.20 600,147 31,636
    39% 2.07 0.19 589,936 12,170
    40% 2.04 0.19 580,022 (6,659)
    41% 2.00 0.18 570,394 (24,879)
    42% 1.97 0.17 561,040 (42,515)
    43% 1.94 0.17 551,951 (59,591)
    44% 1.91 0.16 543,116 (76,132)
    45% 1.88 0.16 534,525 (92,157)
    46% 1.85 0.15 526,170 (107,689)
    47% 1.82 0.15 518,042 (122,748)
    48% 1.79 0.14 510,133 (137,352)
    49% 1.76 0.14 502,434 (151,520)
    50% 1.74 0.13 494,938 (165,267)
    51% 1.71 0.13 487,638 (178,612)
    52% 1.69 0.12 480,527 (191,570)
    53% 1.66 0.12 473,598 (204,154)
    54% 1.64 0.12 466,845 (216,381)
    55% 1.61 0.11 460,262 (228,262)
    56% 1.59 0.11 453,844 (239,811)
    57% 1.57 0.10 447,583 (251,040)
    58% 1.55 0.10 441,476 (261,962)
    59% 1.53 0.10 435,517 (272,586)
    60% 1.51 0.10 429,700 (282,925)
    61% 1.49 0.09 424,023 (292,987)
    62% 1.47 0.09 418,479 (302,784)
    63% 1.45 0.09 413,065 (312,325)
    64% 1.43 0.08 407,777 (321,618)
    65% 1.41 0.08 402,610 (330,672)
    66% 1.39 0.08 397,560 (339,495)
    67% 1.38 0.08 392,625 (348,095)
    68% 1.36 0.07 387,800 (356,481)
    69% 1.34 0.07 383,082 (364,658)
    70% 1.33 0.07 378,468 (372,634)
    71% 1.31 0.07 373,954 (380,417)
    72% 1.30 0.07 369,539 (388,011)
    73% 1.28 0.06 365,217 (395,423)
    74% 1.27 0.06 360,988 (402,660)
    75% 1.25 0.06 356,848 (409,726)
    76% 1.24 0.06 352,794 (416,628)
    77% 1.22 0.06 348,825 (423,370)
    78% 1.21 0.06 344,937 (429,958)
    79% 1.20 0.05 341,128 (436,396)
    80% 1.18 0.05 337,396 (442,689)
    81% 1.17 0.05 333,740 (448,841)
    82% 1.16 0.05 330,156 (454,857)
    83% 1.15 0.05 326,643 (460,741)
    84% 1.13 0.05 323,199 (466,497)
    85% 1.12 0.05 319,821 (472,129)
    86% 1.11 0.04 316,509 (477,640)
    87% 1.10 0.04 313,260 (483,034)
    88% 1.09 0.04 310,073 (488,314)
    89% 1.08 0.04 306,946 (493,484)
    90% 1.07 0.04 303,878 (498,547)
    91% 1.06 0.04 300,866 (503,505)
    92% 1.05 0.04 297,910 (508,363)
    93% 1.04 0.04 295,008 (513,122)
    94% 1.03 0.04 292,158 (517,786)
    95% 1.02 0.04 289,360 (522,357)
    96% 1.01 0.03 286,612 (526,838)
    97% 1.00 0.03 283,912 (531,231)
    98% 0.99 0.03 281,260 (535,538)
    99% 0.98 0.03 278,654 (539,763)
    100% 0.97 0.03 276,094 (543,906)

(b)

To determine

To compute:The expected rate of return when North end is open.

(b)

Expert Solution
Check Mark

Answer to Problem 9P

Expected rate of return if North end is openis 7.98%.

Explanation of Solution

IRR is the rate of return at which NPV of two alternatives is equal. To compute the rate of return if North end is opened, we will equate the NPV of both the alternatives.

NPV of south end = NPV of south & north end

  $285,000(P/A,i,5)=950,000+395,000(P/A,i,5)+750,000(P/F,i,5)950,000=110,000(P/A,i,5)+750,000(P/F,i,5)

Solving the above equation by taking interest rates on hit and trial basis, i falls between 7% and 8%. Interpolating the two interest rates, i = 7.98%.

If interest rate is between 0% to 7.98%, then it is better to open north end, otherwise it is better to continue with the existing one.

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