Question: Net Present Value MethodA series of equal net cash flows at fixed time intervals.Annuity Briggs Excavation Company is planning an investment of $611,700 for a

  1. Net Present Value MethodA series of equal net cash flows at fixed time intervals.Annuity

    Briggs Excavation Company is planning an investment of $611,700 for a bulldozer. The bulldozer is expected to operate for 2,000 hours per year for eight years. Customers will be charged $150 per hour for bulldozer work. The bulldozer operator costs $30 per hour in wages and benefits. The bulldozer is expected to require annual maintenance costing $20,000. The bulldozer uses fuel that is expected to cost $39 per hour of bulldozer operation.

    Present Value of an Annuity of $1 at Compound Interest
    Year 6% 10% 12% 15% 20%
    1 0.943 0.909 0.893 0.870 0.833
    2 1.833 1.736 1.690 1.626 1.528
    3 2.673 2.487 2.402 2.283 2.106
    4 3.465 3.170 3.037 2.855 2.589
    5 4.212 3.791 3.605 3.353 2.991
    6 4.917 4.355 4.111 3.785 3.326
    7 5.582 4.868 4.564 4.160 3.605
    8 6.210 5.335 4.968 4.487 3.837
    9 6.802 5.759 5.328 4.772 4.031
    10 7.360 6.145 5.650 5.019 4.192

    a. Determine the equal annual net cash flows from operating the bulldozer. Use a minus sign to indicate cash outflows.

    Briggs Excavation Company
    Equal Annual Net Cash Flows
    Cash inflows:
    Hours of operation
    • Fuel and labor costs per year
    • Hours of operation
    • Maintenance costs per year
    • Total fuel and labor costs per hour
    Revenue per hour
    • Fuel and labor costs per year
    • Fuel cost per hour
    • Labor cost per hour
    • Revenue per hour
    X $
    Revenue per year
    • Fuel and labor costs per year
    • Fuel cost per hour
    • Labor cost per hour
    • Revenue per year
    $
    Cash outflows:
    Hours of operation
    • Fuel and labor costs per year
    • Hours of operation
    • Maintenance costs per year
    • Total fuel and labor costs per hour
    Fuel cost per hour
    • Annual net cash flows
    • Fuel cost per hour
    • Revenue per year
    • Revenue per hour
    $
    Labor cost per hour
    • Annual net cash flows
    • Labor cost per hour
    • Revenue per year
    • Revenue per hour
    Total fuel and labor costs per hour
    • Annual net cash flows
    • Total fuel and labor costs per hour
    • Revenue per year
    • Revenue per hour
    X $
    Fuel and labor costs per year
    • Annual net cash flows
    • Fuel and labor costs per year
    • Revenue per year
    • Revenue per hour
    Maintenance costs per year
    • Annual net cash flows
    • Maintenance costs per year
    • Revenue per year
    • Revenue per hour
    Annual net cash flows
    • Annual net cash flows
    • Hours of operation
    • Revenue per year
    • Revenue per hour
    $

    Feedback

    b. Determine the net present value of the investment, assuming that the desired rate of return is 15%. Use the The sum of the present values of a series of equal Net cash flows to be received at fixed time intervals.present value of an annuity of $1 table above. Round to the nearest dollar. If required, use the minus sign to indicate a negative net present value.

    Present value of annual net cash flows $
    Amount to be invested $
    Net present value $

    c. Should Briggs Excavation invest in the bulldozer, based on this analysis?

    • Yes
    • No
    , because the bulldozer cost is
    • less than
    • more than
    the present value of the cash flows at the minimum desired rate of return of 15%.

    d. Determine the number of operating hours such that the present value of cash flows equals the amount to be invested. Round interim calculations and final answer to the nearest whole number. hours

    Feedback

    b. Multiply the annual net cash flow by the present value of an annuity factor and subtract the amount to be invested.

    c. Which is more favorable?

    d. Set up an equation to solve for hours.

    Learning Objective 3.

    Feedback

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