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 1000 Revenue per hour x 90 Revenue per year $90,000 Cash outflows: Hours of operation 1000 Fuel cost per hour $15 Labor cost per hour 30 Total fuel and labor costs per hour x 45 Fuel and labor costs per year 45,000 Maintenance costs per year 7,500 Annual net cash flows $37,500 Feedback 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 $142,163 Amount to be invested 125,000 Net present value $17,163 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.

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 1000 Revenue per hour x 90 Revenue per year $90,000 Cash outflows: Hours of operation 1000 Fuel cost per hour $15 Labor cost per hour 30 Total fuel and labor costs per hour x 45 Fuel and labor costs per year 45,000 Maintenance costs per year 7,500 Annual net cash flows $37,500 Feedback 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 $142,163 Amount to be invested 125,000 Net present value $17,163 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.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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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		1000
Revenue per hour		x 90
Revenue per year			$90,000
Cash outflows:
Hours of operation		1000
Fuel cost per hour	$15
Labor cost per hour	30
Total fuel and labor costs per hour		x 45
Fuel and labor costs per year			45,000
Maintenance costs per year			7,500
Annual net cash flows			$37,500

Feedback

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	$142,163
Amount to be invested	125,000
Net present value	$17,163

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.

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

Fuel cost per hour v
Labor cost per hour v
30
Total fuel and labor costs per hour v
x $
45 V
Fuel and labor costs per year v
45,000
Maintenance costs per year v
7,500
Annual net cash flows V
37,500
Feedback
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
$ 142,163
Amount to be invested
125,000 V
Net present value
17,163 V
c. Should Jones invest in the bulldozer, based on this analysis?
Yes v , because the bulldozer cost is less than v 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.
898 X hours

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