Integrative—Determining relevant cash flows Lombard Company is contemplating the purchase of a new high-speed widget grinder to
replace the existing grinder. The existing grinder was purchased 2 years ago at an installed cost of $60,000; it was being depreciated under MACRS using a 5-year recovery period. The existing grinder is expected to have a usable life of 5 more years. The new grinder costs $105,000 and requires $5,000 in installation costs; it has a 5-year usable life and would be depreciated under MACRS using a 5-year recovery period. Lombard can currently sell the existing grinder for $70,000 without incurring any removal or cleanup costs. To support the increased business resulting from purchase of the new grinder, accounts receivable would increase by $40,000, inventories by $30,000, and accounts payable by $58,000. At the end of 5 years, the existing grinder is expected to have a market value of zero; the new grinder would be sold to net $29,000 after removal and cleanup costs and before taxes. The firm pays taxes at a rate of 40% on both ordinary income and capital gains. The estimated profits before depreciation and taxes over the 5 years for both the new and the existing grinder are shown in the following table. (Table 3.2 on page 100 contains the applicable MACRS depreciation percentages.) TABLE 3.2
Rounded Depreciation Percentages by Recovery Year Using MACRS for First Four Property Classes
Percentage by recovery yeara
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%
Profits before
depreciation and taxes
Year
New grinder
Existing grinder
1. $43,000
$26,000
2. 43,000
24,000
3. 43,000
22,000
4. 43,000
20,000
5. 43,000
18,000
a. Calculate the initial investment associated with the replacement of the existing grinder by the new one.
b. Determine the incremental operating cash inflows associated with the proposed grinder replacement. (Note: Be sure to consider the depreciation in year 6.)
c. Determine the terminal cash flow expected at the end of year 5 from the proposed grinder replacement. d. Depict on a time line the relevant cash flows associated with the proposed grinder replacement decision.
a. Determine the initial investment tied to replacing the current grinder with the new one.
Initial investment = cost of the new grinder + installation costs of the new grinder - after-tax revenue from selling the old grinder + increase in net working capital.
Cost of the new grinder = $105,000.
Cost to install the new grinder = $5,000.
After-tax revenue from the old grinder = $70,000 - ($70,000 - {$60,000 x (1 - 52%)] x 40%} = $70,000 - $16,480 = $53,520.
Increase in net working capital = $40,000 + $30,000 - $58,000 = $12,000.
Thus, initial investment = $105,000 + $5,000 - $53,520 + $12,000 = $68,480.
b. Assess the incremental operating cash inflows related to the new grinder installation. (Remember to factor in depreciation in year 6.)
New grinder cash flows:
Year 1 = [($43,000 - $22,000) x (1 - 40%)] + $22,000 = $34,600.
Year 2 = [($43,000 - $35,200) x (1 - 40%)] + $35,200 = $39,880.
Year 3 = [($43,000 - $21,120) x (1 - 40%)] + $21,120 = $34,248.
Year 4 = [($43,000 - $12,672) x (1 - 40%)] + $12,672 = $30,868.80.
Year 5 = [($43,000 - $12,672) x (1 - 40%)] + $12,672 + $18,000 (NWC) + $19,934.40 (after-tax salvage value) = $68,803.20.
Old grinder cash flows:
Year 1 = [($26,000 - $11,520) x (1 - 40%)] + $11,520 = $20,208.
Year 2 = [($24,000 - $6,912) x (1 - 40%)] + $6,912 = $15,964.80.
Year 3 = [($22,000 - $6,912) x (1 - 40%)] + $6,912 = $15,964.80.
Year 4 = [($20,000 - $3,456) x (1 - 40%)] + $3,456 = $13,382.40.
Year 5 = $18,000 x (1 - 40%) = $10,800.
Incremental cash flows:
Year 1 = $34,600 - $20,208 = $14,392.
Year 2 = $39,880 - $15,964.80 = $23,915.20.
Year 3 = $34,248 - $15,964.80 = $18,283.20.
Year 4 = $30,868.80 - $13,382.40 = $17,486.40.
Year 5 = $68,803.20 - $10,800 = $58,003.20.
c. Determine the expected terminal cash flow at the end of year 5 from the grinder replacement.
Terminal cash flow = regaining net working capital + after-tax salvage value = $18,000 + $19,934.40 = $37,934.40.
d. Show a timeline displaying the relevant cash flows for the proposed grinder replacement decision.
Year 0 = -$68,480.
Year 1 = $34,600.
Year 2 = $39,880.
Year 3 = $34,248.
Year 4 = $30,868.80.
Year 5 = $68,803.20.
Answer: To optimize profit, the production will entail: 400 luxury units and no standard ones. Explanation: For luxury items, raw material and labor yield higher profitability. Thus, maximizing luxury output becomes the focus, utilizing all available labor hours while ensuring no production for standard due to resource constraints.
The question lacks completeness; the following addition would enhance it:
"If Realtors require a 5 percent commission on the sale price and every Realtor faces opportunity costs of $2,000 to negotiate a sale, will Carlos opt to hire a Realtor? If he does, how will the overall economic surplus change?"
The result is that the total economic surplus rose from $20,000 to $248,000.
Explanation:
It is essential to grasp the concepts of marginal cost, marginal benefit, and asymmetric information. Marginal cost refers to the additional cost incurred from utilizing one more unit of a resource, while marginal benefit signifies the advantage gained from that investment. Asymmetric information arises when one side in a transaction possesses more information than the other.
Carlos's reservation price stands at $130,000. He intends to sell for $140,000 to Whitney, whose reservation price is $150,000. Thus, Carlos enjoys a surplus of 140,000 - 130,000 = $10,000, and Whitney has a surplus of 150,000 - 140,000 = $10,000. Consequently, the total economic surplus amounts to $20,000.
Should Carlos enlist a realtor, who charges 5% if the property is sold for $300,000 to someone with a reservation price of $350,000, the surplus would be calculated as:
1) Most likely, it's commission. Although both commissions and bonuses relate to sales performance, the fact that she receives them for each sale implies commissions, which are typically a recurring part of a pay system, as opposed to bonuses which are usually one-time payments. 2) Refers to a fixed salary. Hourly wages are generally associated with entry-level positions, whereas fixed salaries apply to higher-ranking or executive positions.