Solved Questions Assigned to Class From Chapter 1

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  • 8/11/2019 Solved Questions Assigned to Class From Chapter 1

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    Discount rate 8%NPV 71.01 #NAME?IRR 10.56% #NAME?

    Year Cash flow0 -600

    1 1002 1003 1004 1005 1006 1007 1008 100

    9 10010 100

    Decision: The NPV > 0 and hence you should purchase the asset.Note that the IRR > discount rate, which leads to the same decision.

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    Cost 10,000Payment $2,983.16 #NAME?Interest 15%

    Year

    Principal

    at beginningof year

    Payment

    at end ofyear

    Interest Principal

    1 10,000.00 2,983.16 1,500.00 1,483.16 #NAME?2 8,516.84 2,983.16 1,277.53 1,705.633 6,811.22 2,983.16 1,021.68 1,961.474 4,849.74 2,983.16 727.46 2,255.695 2,594.05 2,983.16 389.11 2,594.056 0.00

    Division of payment between:

    #NA

    #NAME?

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    E?

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    12345

    678

    91011121314151617

    18192021

    A B C D E F G

    Discount rate 15%Initial payment 129.2852NPV -226.52 #NAME? Use Solver (see screen shot belo

    Year Cash flow

    0 -1000.001 100.00 #NAME?2 110.00 #NAME?

    3 121.00 #NAME?4 133.105 146.416 161.057 177.168 194.879 214.3610 235.7911 259.37

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    12345

    678

    91011121314151617

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    H I J K L

    ) to find the answer.

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    678

    91011121314151617

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    A B C D E F G

    Discount rate 20%NPV 76.71

    76.71 #NAME?

    Year Cash flow 0% -99.33470 -500 4% -29.4699

    1 600 8% 17.720832 300 12% 48.387693 300 16% 66.97176

    4 200 20% 76.706715 -1,000 24% 79.96436

    28% 78.49546IRR1 6.34% #NAME? 32% 73.59927IRR2 60.20% #NAME? 36% 66.24427

    40% 57.1548344% 46.87448% 35.80937

    Since the NPV > 0 for interest 52% 24.26678

    rates between 6.34% and 60.20%, 56% 12.47534you wouldinvest in the project 60% 0.606037if the discount rate is 20%. 64% -11.2143

    68% -22.892572% -34.361

    Data table

    -15

    -10

    -5

    5

    10

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    1

    2

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    101112

    A B C D E F G H

    IRR? 10.00%

    LOAN TABLE

    YearCash

    flowYear

    Principal

    at beginning

    of year

    Payment

    at end of

    year

    Interest Principal

    0 -800 1 800.00 300.00 80.00 220.001 300 2 580.00 200.00 58.00 142.002 200 3 438.00 150.00 43.80 106.203 150 4 331.80 122.00 33.18 88.824 122 5 242.98 133.00 24.30 108.705 133 6 134.28

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    2

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    A B C D E F G H I

    IRR? 3.00%

    LOAN TABLE

    YearCash

    flowYear

    Principal

    at beginning

    of year

    Payment

    at end of

    year

    Interest Principal

    0 -800 1 800.00 300.00 24.00 276.001 300 2 524.00 200.00 15.72 184.282 200 3 339.72 150.00 10.19 139.813 150 4 199.91 122.00 6.00 116.004 122 5 83.91 133.00 2.52 130.485 133 6 -46.57

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    2

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    Loan principal 100,000Term (years) 5Interest 13%

    Annual payment $28,431.45 #NAME?

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    Loan principal 15,000Interest rate annual 15%

    monthly 1.25% #NAME?Loan term (months) 48

    Monthly payment $417.46 #NAME?

    Month

    Principal at

    beginning of

    month

    Payment Interest Principal

    1 15,000.00 417.46 187.50 229.962 14,770.04 417.46 184.63 232.843 14,537.20 417.46 181.72 235.754 14,301.46 417.46 178.77 238.695 14,062.76 417.46 175.78 241.68

    6 13,821.09 417.46 172.76 244.707 13,576.39 417.46 169.70 247.768 13,328.63 417.46 166.61 250.859 13,077.78 417.46 163.47 253.9910 12,823.79 417.46 160.30 257.1611 12,566.63 417.46 157.08 260.3812 12,306.25 417.46 153.83 263.6313 12,042.62 417.46 150.53 266.9314 11,775.69 417.46 147.20 270.2715 11,505.42 417.46 143.82 273.64

    16 11,231.78 417.46 140.40 277.0617 10,954.71 417.46 136.93 280.53

    18 10,674.19 417.46 133.43 284.0319 10,390.15 417.46 129.88 287.5820 10,102.57 417.46 126.28 291.1821 9,811.39 417.46 122.64 294.8222 9,516.57 417.46 118.96 298.5023 9,218.07 417.46 115.23 302.2424 8,915.83 417.46 111.45 306.0125 8,609.82 417.46 107.62 309.8426 8,299.98 417.46 103.75 313.7127 7,986.27 417.46 99.83 317.63

    28 7,668.64 417.46 95.86 321.6029 7,347.03 417.46 91.84 325.6230 7,021.41 417.46 87.77 329.69

    31 6,691.72 417.46 83.65 333.8132 6,357.90 417.46 79.47 337.9933 6,019.91 417.46 75.25 342.2134 5,677.70 417.46 70.97 346.4935 5,331.21 417.46 66.64 350.8236 4,980.39 417.46 62.25 355.21

    37 4,625.18 417.46 57.81 359.6538 4,265.54 417.46 53.32 364.1439 3,901.39 417.46 48.77 368.69

    Split of payment

    between:

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    40 3,532.70 417.46 44.16 373.3041 3,159.40 417.46 39.49 377.9742 2,781.43 417.46 34.77 382.69

    43 2,398.74 417.46 29.98 387.4844 2,011.26 417.46 25.14 392.3245 1,618.94 417.46 20.24 397.22

    46 1,221.71 417.46 15.27 402.1947 819.52 417.46 10.24 407.2248 412.31 417.46 5.15 412.3149 0.00

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    PV of

    remaining

    payments

    Same

    answer

    using PV$15,000.00 #NAME? $15,000.00 #NAME?$14,770.04 #NAME? $14,770.04 #NAME?$14,537.20 #NAME? $14,537.20 #NAME?$14,301.46 $14,301.46$14,062.76 $14,062.76

    $13,821.09 $13,821.09$13,576.39 $13,576.39$13,328.63 $13,328.63$13,077.78 $13,077.78$12,823.79 $12,823.79

    Part c of question

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    A B C D

    Cost of car, cash 30,000

    Month

    Deferred payment plan 0 Cash payment 5,000 1

    Monthly payment 1,050 2 Number of months 30 3

    4Bank car loan rate (annual) 15% 5Bank car loan rate (monthly) 1.25% 6

    79.a. Present value of deferred payment plan 31,133.35 #NAME? 8

    9Dealer's monthly IRR 1.56% #NAME? 10

    Annualized (in this case, multiplied by 12) 18.73% #NAME? 11121314151617181920

    212223

    24252627282930

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    E F G H

    Cash payment

    Payment

    under

    deferred

    payment plan

    Difference

    30,000 5,000 25,000 #NAME?0 1,050 -1,050 #NAME?

    0 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,050

    0 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,050

    0 1,050 -1,0500 1,050 -1,0500 1,050 -1,050

    0 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,0500 1,050 -1,050