PLEASE PROVIDE STEP BY STEP SOLUTION and BRIEF EXPLANATION
Terminal Cash Flow – Replacement decision
Russell Industries is considering replacing a fully depreciated machine having a remaining useful life of 10 years, with a newer more sophisticated machine. The new machine will cost $200,000 and will require $30,000 in installation costs. It will be depreciated under MACRS using a 5-year recovery period.
Rounded Depreciation Percentages by Recovery Year using MACRS for first four Property Classes.
Percentages by recovery year
|
Recovery Year
|
3 Years
|
5 Years
|
7 Years
|
10 Years
|
|
1
|
33%
|
20%
|
14%
|
10%
|
|
2
|
45%
|
32%
|
25%
|
18%
|
|
3
|
15%
|
19%
|
18%
|
14%
|
|
4
|
7%
|
12%
|
12%
|
12%
|
|
5
|
|
12%
|
9%
|
9%
|
|
6
|
|
5%
|
9%
|
8%
|
|
7
|
|
|
9%
|
7%
|
|
8
|
|
|
4%
|
6%
|
|
9
|
|
|
|
6%
|
|
10
|
|
|
|
6%
|
|
11
|
|
|
|
4%
|
|
Totals
|
100%
|
100%
|
100%
|
100%
|
A $25,000 increase in net working capitalwill be required to support the new machine. The firm plans to evaluate the potential replacement over a 4-year period. They estimate that the old machine could be sold at the end of 4 years to net $15,000 before taxes. Calculate the terminal cash flow at the end of year 4 that is relevant to the proposed purchase of the new machine. The firm is subject to a 40 percent tax rate on both ordinary and capital gains income.
Making Norwich Tool’s Lathe Investment Decision
Norwich Tool, a large machine shop, is considering replacing one of its lathes with either of two new lathes – lathe A or lathe B. Lathe A is a highly automated , computer-controlled lathe; lathe B is a less expensive lathe that uses standard technology. To analyze these alternatives, Mario Jackson, a financial analyst, prepared estimates of the initial investment and incremental (relevant) cash inflows associated with each lathe. These are shown in the following table.
Lathe A Lathe B
|
Initial Investment (II)
|
$660,000
|
$360,000
|
Year (t) Cash inflows (CFt)
|
1
|
$128,000
|
$88,000
|
|
2
|
182,000
|
120,000
|
|
3
|
166,000
|
96,000
|
|
4
|
168,000
|
86,000
|
|
5
|
450,000
|
207,000
|
Note that Mario plans to analyze both lathes over a 5-year period. At the end of that time, the lathes would be sold, thus accounting for the large fifth-year cash inflows.
One of Mario’s major dilemmas centered on the risk of the two lathes. He feels that although the two lathes have similar risk, lathe A has a much higher chance of breakdown and repair due to its sophisticated and not fully proven solid-state electronic technology. Because he is unable to effectively quantify this possibility, Mario decides to apply the firm’s 13 percent cost of capital when analyzing the lathes. Norwich Tool requires all projects to have a maximum payback period of 4.0 years.
a) Use the payback period to assess the acceptability and relative ranking of each lathe.
b) Assuming equal risk, use the following sophisticated capital budgeting techniques
1. Net Present Value (NPV)
2. Internal Rate of Return (IRR)
c. Summarize the preferences indicated by the techniques used in a and b, and indicate which lathe you recommend, if either, if the firm has (1) unlimited funds (2) capital rationing.
d. Repeat part b assuming that Mario decides that, due to its greater risk, lathe A’s cash inflows should be evaluated by using a 15 percent cost of capital.
e. What effect, if any, does recognition of lathe A’s greater risk in d have on your recommendation in c?