Net Present Value Method—Annuity Jones Excavation Company is planning an investment of $125,000 for a bulldozer. The bulldozer is expected to operate for 1,000 hours per year for five years. Customers will be charged $90 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 $7,500. The bulldozer uses fuel that is expected to cost $15 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. Jones Excavation Company Equal Annual Net Cash Flows   Cash inflows:       Hours of operation    fill in the blank 77d238f1dfce03f_2   Revenue per hour    × $fill in the blank 77d238f1dfce03f_4   Revenue per year      $fill in the blank 77d238f1dfce03f_6 Cash outflows:       Hours of operation    fill in the blank 77d238f1dfce03f_8   Fuel cost per hour  $fill in the blank 77d238f1dfce03f_10     Labor cost per hour  fill in the blank 77d238f1dfce03f_12     Total fuel and labor costs per hour    × $fill in the blank 77d238f1dfce03f_14   Fuel and labor costs per year      fill in the blank 77d238f1dfce03f_16 Maintenance costs per year      fill in the blank 77d238f1dfce03f_18 Annual net cash flows      $fill in the blank 77d238f1dfce03f_20   Feedback   a. Subtract the operating expenses (hourly fuel and labor costs, multiplied by the operating hours, plus the annual maintenance costs) from the revenues (operating hours multiplied by the hourly revenue). b.  Determine the net present value of the investment, assuming that the desired rate of return is 10%. Use the table of present value of an annuity of $1 table above. Round to the nearest dollar. Present value of annual net cash flows $fill in the blank 53e0ea043ff1037_1 Amount to be invested fill in the blank 53e0ea043ff1037_2 Net present value $fill in the blank 53e0ea043ff1037_3 c.  Should Jones invest in the bulldozer, based on this analysis? Yes , because the bulldozer cost is less than  the present value of the cash flows at the minimum desired rate of return of 10%. 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. fill in the blank  hours

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Net Present Value Method—Annuity

Jones Excavation Company is planning an investment of $125,000 for a bulldozer. The bulldozer is expected to operate for 1,000 hours per year for five years. Customers will be charged $90 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 $7,500. The bulldozer uses fuel that is expected to cost $15 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.

Jones Excavation Company
Equal Annual Net Cash Flows
 
Cash inflows:      
Hours of operation    fill in the blank 77d238f1dfce03f_2  
Revenue per hour    × $fill in the blank 77d238f1dfce03f_4  
Revenue per year      $fill in the blank 77d238f1dfce03f_6
Cash outflows:      
Hours of operation    fill in the blank 77d238f1dfce03f_8  
Fuel cost per hour  $fill in the blank 77d238f1dfce03f_10    
Labor cost per hour  fill in the blank 77d238f1dfce03f_12    
Total fuel and labor costs per hour    × $fill in the blank 77d238f1dfce03f_14  
Fuel and labor costs per year      fill in the blank 77d238f1dfce03f_16
Maintenance costs per year      fill in the blank 77d238f1dfce03f_18
Annual net cash flows      $fill in the blank 77d238f1dfce03f_20
 
Feedback
 

a. Subtract the operating expenses (hourly fuel and labor costs, multiplied by the operating hours, plus the annual maintenance costs) from the revenues (operating hours multiplied by the hourly revenue).

b.  Determine the net present value of the investment, assuming that the desired rate of return is 10%. Use the table of present value of an annuity of $1 table above. Round to the nearest dollar.

Present value of annual net cash flows $fill in the blank 53e0ea043ff1037_1
Amount to be invested fill in the blank 53e0ea043ff1037_2
Net present value $fill in the blank 53e0ea043ff1037_3

c.  Should Jones invest in the bulldozer, based on this analysis?
Yes , because the bulldozer cost is less than  the present value of the cash flows at the minimum desired rate of return of 10%.

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.
fill in the blank  hours

 
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