Question
Present value of $1 Periods 4% 6% 8% 10% 12% 14% 1 0.962 0.943 0.926 0.909 0.893 0.877 2 0.925 0.890 0.857 0.826 0.797 0.769
Present value of $1
Periods
4%
6%
8%
10%
12%
14%
1
0.962
0.943
0.926
0.909
0.893
0.877
2
0.925
0.890
0.857
0.826
0.797
0.769
3
0.889
0.840
0.794
0.751
0.712
0.675
4
0.855
0.792
0.735
0.683
0.636
0.592
5
0.822
0.747
0.681
0.621
0.567
0.519
6
0.790
0.705
0.630
0.564
0.507
0.456
7
0.760
0.665
0.583
0.513
0.452
0.400
8
0.731
0.627
0.540
0.467
0.404
0.351
9
0.703
0.592
0.500
0.424
0.361
0.308
10
0.676
0.558
0.463
0.386
0.322
0.270
Present value of an Annuity of $1
Periods
4%
6%
8%
10%
12%
14%
1
0.962
0.943
0.926
0.909
0.893
0.877
2
1.886
1.833
1.783
1.736
1.690
1.647
3
2.775
2.673
2.577
2.487
2.402
2.322
4
3.630
3.465
3.312
3.170
3.037
2.914
5
4.452
4.212
3.993
3.791
3.605
3.433
6
5.242
4.917
4.623
4.355
4.111
3.889
7
6.002
5.582
5.206
4.868
4.564
4.288
8
6.733
6.210
5.747
5.335
4.968
4.639
9
7.435
6.802
6.247
5.759
5.328
4.946
10
8.111
7.360
6.710
6.145
5.650
5.216
Ray Corporation is looking to invest in a new piece of equipment. Two manufacturers of this type of equipment are being considered. After-tax inflows for the two competing projects are:
Year
Fallon Equipment Inc.
Toller Equipment Inc.
1
$275,000
$70,000
2
225,000
70,000
3
185,000
285,000
4
140,000
330,000
5
65,000
390,000
Both projects require an initial investment of $400,000. In both cases, assume that the equipment has a life of 5 years with no salvage value.
Required:
A. Assuming a discount rate of 8%, compute the net present value of each piece of equipment.
B. A third option is now available for a supplier outside of the country. The cost is also $400,000, but it will produce even cash flows over its 5-year life. What must the annual cash flow be for this equipment to be selected over the other two? Assume an 8% discount rate.
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