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Net Present ValueUnequal Lives Project 1 requires an original investment of $48,700. The project will yield cash flows of $14,000 per year for six years.

  1. Net Present ValueUnequal Lives

    Project 1 requires an original investment of $48,700. The project will yield cash flows of $14,000 per year for six years. Project 2 has a calculated net present value of $13,500 over a four-year life. Project 1 could be sold at the end of four years for a price of $51,000.

    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 3.352 2.991
    6 4.917 4.355 4.111 3.784 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 a four-year life with residual value, assuming a minimum rate of return of 20%. If required, round to the nearest dollar. $

    b. Which project provides the greatest net present value?

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