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9 AM Express Inc. is considering the purchase of an additional delivery vehicle for $49,000 on January 1, 20Y1. The truck is expected to have

9 AM Express Inc. is considering the purchase of an additional delivery vehicle for $49,000 on January 1, 20Y1. The truck is expected to have a five-year life with an expected residual value of $6,000 at the end of five years. The expected additional revenues from the added delivery capacity are anticipated to be $78,000 per year for each of the next five years. A driver will cost $55,000 in 20Y1, with an expected annual salary increase of $4,000 for each year thereafter. The annual operating costs for the truck are estimated to be $3,000 per year.

Present Value of $1 at Compound Interest
Year 6% 10% 12% 15% 20%
1 0.943 0.909 0.893 0.870 0.833
2 0.890 0.826 0.797 0.756 0.694
3 0.840 0.751 0.712 0.658 0.579
4 0.792 0.683 0.636 0.572 0.482
5 0.747 0.621 0.567 0.497 0.402
6 0.705 0.564 0.507 0.432 0.335
7 0.665 0.513 0.452 0.376 0.279
8 0.627 0.467 0.404 0.327 0.233
9 0.592 0.424 0.361 0.284 0.194
10 0.558 0.386 0.322 0.247 0.162

a. Determine the expected annual net cash flows from the delivery truck investment for 20Y1-20Y5.

Annual Net Cash Flow
20Y1 $
20Y2 $
20Y3 $
20Y4 $
20Y5 $

b. Calculate the net present value of the investment, assuming that the minimum desired rate of return is 12%. Use the table of the present value of $1 presented above. When required, 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 $
Investment $
Net present value $

5

Net Present ValueUnequal Lives

Project 1 requires an original investment of $125,000. The project will yield cash flows of $50,000 per year for 10 years. Project 2 has a calculated net present value of $135,000 over an eight-year life. Project 1 could be sold at the end of eight years for a price of $8,000.

Use the Present Value of $1 at Compound Interest and the Present Value of an Annuity of $1 at Compound Interest tables shown below.

Present Value of $1 at Compound Interest
Year 6% 10% 12% 15% 20%
1 0.943 0.909 0.893 0.870 0.833
2 0.890 0.826 0.797 0.756 0.694
3 0.840 0.751 0.712 0.658 0.579
4 0.792 0.683 0.636 0.572 0.482
5 0.747 0.621 0.567 0.497 0.402
6 0.705 0.564 0.507 0.432 0.335
7 0.665 0.513 0.452 0.376 0.279
8 0.627 0.467 0.404 0.327 0.233
9 0.592 0.424 0.361 0.284 0.194
10 0.558 0.386 0.322 0.247 0.162

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 net present value of Project 1 over an eight-year life, with residual value, assuming a minimum rate of return of 12%. If required, round to the nearest dollar. $

b. Which project provides the greatest net present value? Project 2

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