BEC . Need Help why they are using 3.79 why not .62

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  • #203202
    Anonymous
    Inactive

    Salem Co. is considering a project that yields annual net cash inflows of $420,000 for years 1 through 5, and a net cash inflow of $100,000 in year 6. The project will require an initial investment of $1,800,000. Salem’s cost of capital is 10%. Present value information is presented below:

    Present value of $1 for 5 years at 10% is .62.

    Present value of $1 for 6 years at 10% is .56.

    Present value of an annuity of $1 for 5 years at 10% is 3.79.

    What was Salem’s expected net present value for this project?

    a.

    ($108,200)

    b.

    ($152,200)

    c.

    ($442,000)

    d.

    $83,000

    Explanation

    Choice “b” is correct. Net present value is computed as the difference between project inflows and outflows, discounted to present value as follows:

    Inflows:

    Years 1 through 5: $420,000 x 3.79 =

    $ 1,591,800

    Year 6: $100,000 x .56 =

    $ 56,000

    Present value of all inflows

    $ 1,647,800

    Outflow (today, discount factor of 1.0)

    $ 1,800,000

    Net Present Value

    $ 152,200

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  • #783650
    mckan514w
    Participant

    MITHUN- because you are receiving 420,000 for each year 1-5 so it is an annuity due and then in year 6 you get a “lump sum” of 100,000 which would just use the PV factor. Remember that basically annuity is a series of payments received….

    And they ask me why I drink

    BEC 71, 82
    AUD 75
    REG 75
    FAR 61, 69, 83

    and they ask me why I drink...

    FAR- 61-next time I'll ask for lube instead of a calculator
    REG-75- Never been so happy to see such a low grade
    BEC- 8/11
    AUD- 9/2

    #783651
    Anonymous
    Inactive

    Hi mckan514w,

    First of all thank you. Can you tell me what is lump sum ?

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