Net Present Value-Unequal Lives Daisy’s Creamery Inc., is considering one of two investment options. Option 1 is a $46,000 investment in new blending equipment that is expected to produce equal annual cash flows of $15,000 for each of seven years. Option 2 is a $54,000 investment in a new computer system that is expected to produce equal annual cash flows of $19,000 for each of five years. The residual value of the blending equipment at the end of the fifth year is estimated to be $10,000. The computer system has no expected residual value at the end of the fifth 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 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 Assume there is sufficient capital to fund only one of the projects. Determine which project should be selected, comparing the (a) net present values and (b) present value indices of the two projects, assuming a minimum rate of return of 12%. Use the present value tables appearing above. a. Determine the net present values of the two projects. Blending Equipment Computer System Total present value of cash flows $fill in the blank 1 $fill in the blank 2 Less amount to be invested $fill in the blank 3 $fill in the blank 4 Net present value $fill in the blank 5 $fill in the blank 6 b. Determine the present value indices of the two projects. If required, round the present value index to two decimal places. Present Value Index Blending Equipment fill in the blank 7 Computer System fill in the blank 8 Which project should be selected? (If both present value indices are the same, either project will grade as correct.)

Net Present Value-Unequal Lives Daisy’s Creamery Inc., is considering one of two investment options. Option 1 is a $46,000 investment in new blending equipment that is expected to produce equal annual cash flows of $15,000 for each of seven years. Option 2 is a $54,000 investment in a new computer system that is expected to produce equal annual cash flows of $19,000 for each of five years. The residual value of the blending equipment at the end of the fifth year is estimated to be $10,000. The computer system has no expected residual value at the end of the fifth 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 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 Assume there is sufficient capital to fund only one of the projects. Determine which project should be selected, comparing the (a) net present values and (b) present value indices of the two projects, assuming a minimum rate of return of 12%. Use the present value tables appearing above. a. Determine the net present values of the two projects. Blending Equipment Computer System Total present value of cash flows $fill in the blank 1 $fill in the blank 2 Less amount to be invested $fill in the blank 3 $fill in the blank 4 Net present value $fill in the blank 5 $fill in the blank 6 b. Determine the present value indices of the two projects. If required, round the present value index to two decimal places. Present Value Index Blending Equipment fill in the blank 7 Computer System fill in the blank 8 Which project should be selected? (If both present value indices are the same, either project will grade as correct.)

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter10: Capital Budgeting: Decision Criteria And Real Option

Section10.A: Mutually Exclusive Investments Having Unequal Lives

Problem 2P

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Net Present Value-Unequal Lives

Daisy’s Creamery Inc., is considering one of two investment options. Option 1 is a $46,000 investment in new blending equipment that is expected to produce equal annual cash flows of $15,000 for each of seven years. Option 2 is a $54,000 investment in a new computer system that is expected to produce equal annual cash flows of $19,000 for each of five years. The residual value of the blending equipment at the end of the fifth year is estimated to be $10,000. The computer system has no expected residual value at the end of the fifth 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

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

Assume there is sufficient capital to fund only one of the projects. Determine which project should be selected, comparing the (a) net present values and (b) present value indices of the two projects, assuming a minimum rate of return of 12%. Use the present value tables appearing above.

a. Determine the net present values of the two projects.

	Blending Equipment	Computer System
Total present value of cash flows	$fill in the blank 1	$fill in the blank 2
Less amount to be invested	$fill in the blank 3	$fill in the blank 4
Net present value	$fill in the blank 5	$fill in the blank 6

b. Determine the present value indices of the two projects. If required, round the present value index to two decimal places.

	Present Value Index
Blending Equipment	fill in the blank 7
Computer System	fill in the blank 8

Which project should be selected? (If both present value indices are the same, either project will grade as correct.)

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