Future Cash Flows Initial investment Annual cash flows from operations (excluding depreciation) Cash flow from sale of machine Required return on investment Income tax rate Depreciation method Relevant Cash Flows at End of Each year Today 1 $ (216,000) 10% 35% straight-line 2 3 - × $ 32,000 $ 32,000 $ 32,000 $ 32,000 CCA rate declining balance for income tax purposes 20% All CF occur at end of year except for the initial investment. 14,000

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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Active Parent manufactures baby furniture, clothing, strollers, and accessories. In the current year the company plans on purchasing a new machine to improve the quality and efficiency of production. Active Parent has prepared estimates of future cash flows over
the following four years, at which point it will sell the machine for $14,000. The company focuses on tax minimization and calculated depreciation over the four years using the straight-line method, a useful life of four years, and a residual value of $0.
View the future cash flows.
View the present value of $1 table.
Read the requirements.
View the present value of annuity of $1 table.
Requirement 1. Calculate the net present value of the investment. (Use parentheses or a minus sign for a negative net present value. Round your answer to the nearest whole dollar.)
Net present value of the investment:
-
Present Value of Annuity of $1 Table
Future Cash Flows
Periods 2%
Period 1 0.980
Present Value of Annuity of $1.00 in Arrears*
4%
6%
8% 10% 12% 14%
0.962 0.943 0.926 0.909 0.893 0.877
16%
0.862 0.847
18% 20% Per
0.833 Pe
Relevant Cash Flows at End of Each year
Period 2 1.942
1.886 1.833 1.783 1.736 1.690 1.647 1.605 1.566
1.528 Pe
Today
1
2
3
4
Period 3 2.884
Initial investment
$ (216,000)
2.775 2.673 2.577 2.487
2.402 2.322
2.246 2.174
2.106 Pe
Annual cash flows from
$ 32,000 $ 32,000 $ 32,000 $ 32,000
Period 4 3.808
3.630 3.465 3.312
3.170 3.037
2.914 2.798 2.690
2.589 Pe
operations (excluding
depreciation)
Cash flow from sale of machine
Period 5 4.713
4.452 4.212 3.993 3.791
3.605 3.433
3.274 3.127 2.991 Pe
14,000
Period 6 5.601
5.242 4.917 4.623 4.355 4.111
3.889
3.685
3.498 3.326 Pe
Required return on investment
Income tax rate
Depreciation method
10%
35%
straight-line
Period 7 6.472
6.002
5.582 5.206
4.868
4.564 4.288
4.039
3.812 3.605 Pe
Period 8 7.325
6.733 6.210 5.747 5.335 4.968
4.639 4.344 4.078 3.837 Pe
CCA rate declining balance for income tax purposes 20%
All CF occur at end of year except for the initial investment.
Period 9 8.162
7.435
6.802 6.247 5.759 5.328
4.946 4.607 4.303 4.031 Pe
Period 10 8.983
8.111 7.360
6.710 6.145 5.650
5.216 4.833 4.494 4.192 Pe
Period 11 9.787
8.760 7.887 7.139 6.495 5.938
5.453 5.029 4.656 4.327 Pe
Print
Done
Period 12 10.575
9.385
8.384 7.536
6.814 6.194
5.660 5.197 4.793 4.439
Pe
1
Period 13 11.348
9.986 8.853
7.904
7.103 6.424
5.842 5.342 4.910 4.533 Pe
Period 14 12.106 10.563 9.295
8.244 7.367 6.628 6.002 5.468 5.008 4.611 Pe
☑
Transcribed Image Text:Active Parent manufactures baby furniture, clothing, strollers, and accessories. In the current year the company plans on purchasing a new machine to improve the quality and efficiency of production. Active Parent has prepared estimates of future cash flows over the following four years, at which point it will sell the machine for $14,000. The company focuses on tax minimization and calculated depreciation over the four years using the straight-line method, a useful life of four years, and a residual value of $0. View the future cash flows. View the present value of $1 table. Read the requirements. View the present value of annuity of $1 table. Requirement 1. Calculate the net present value of the investment. (Use parentheses or a minus sign for a negative net present value. Round your answer to the nearest whole dollar.) Net present value of the investment: - Present Value of Annuity of $1 Table Future Cash Flows Periods 2% Period 1 0.980 Present Value of Annuity of $1.00 in Arrears* 4% 6% 8% 10% 12% 14% 0.962 0.943 0.926 0.909 0.893 0.877 16% 0.862 0.847 18% 20% Per 0.833 Pe Relevant Cash Flows at End of Each year Period 2 1.942 1.886 1.833 1.783 1.736 1.690 1.647 1.605 1.566 1.528 Pe Today 1 2 3 4 Period 3 2.884 Initial investment $ (216,000) 2.775 2.673 2.577 2.487 2.402 2.322 2.246 2.174 2.106 Pe Annual cash flows from $ 32,000 $ 32,000 $ 32,000 $ 32,000 Period 4 3.808 3.630 3.465 3.312 3.170 3.037 2.914 2.798 2.690 2.589 Pe operations (excluding depreciation) Cash flow from sale of machine Period 5 4.713 4.452 4.212 3.993 3.791 3.605 3.433 3.274 3.127 2.991 Pe 14,000 Period 6 5.601 5.242 4.917 4.623 4.355 4.111 3.889 3.685 3.498 3.326 Pe Required return on investment Income tax rate Depreciation method 10% 35% straight-line Period 7 6.472 6.002 5.582 5.206 4.868 4.564 4.288 4.039 3.812 3.605 Pe Period 8 7.325 6.733 6.210 5.747 5.335 4.968 4.639 4.344 4.078 3.837 Pe CCA rate declining balance for income tax purposes 20% All CF occur at end of year except for the initial investment. Period 9 8.162 7.435 6.802 6.247 5.759 5.328 4.946 4.607 4.303 4.031 Pe Period 10 8.983 8.111 7.360 6.710 6.145 5.650 5.216 4.833 4.494 4.192 Pe Period 11 9.787 8.760 7.887 7.139 6.495 5.938 5.453 5.029 4.656 4.327 Pe Print Done Period 12 10.575 9.385 8.384 7.536 6.814 6.194 5.660 5.197 4.793 4.439 Pe 1 Period 13 11.348 9.986 8.853 7.904 7.103 6.424 5.842 5.342 4.910 4.533 Pe Period 14 12.106 10.563 9.295 8.244 7.367 6.628 6.002 5.468 5.008 4.611 Pe ☑
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