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Departement de science economique Department of Economics ENGINEERING ECONOMICS ECO 1192B White Assignment #2: Replacement Analysis C
Departement de science economique
Department of Economics
ENGINEERING ECONOMICS
ECO 1192B
White Assignment #2: Replacement Analysis
C.Theoret Winter 2021
Assignment Instructions
1. Completing an unallocated assignment will result in a zero (0%) score.
2. You will submit your assignment #2 answers on Brightspace on April 1 between 7 and 7:30 pm (Ottawa, Ontario time).
3. Assignment answers submitted late or by other means will be rejected.
4. The sequence of assignment questions in this document will be maintained on April 1 (i.e., no question scrambling)
5. Where appropriate
- Four options will be provided for an assignment question.
- Options will consist of ranges of dollars, percentages etc. depending on the question.
You may wish to consult
Background Paper #12
Defender-Challenger Replacement Analysis
Before- and After-Taxes
B. Problem Statement
You are considering the replacement of currently owned farm equipment.
You have requested three (3) equipment analyses from your financial advisor:
- Section 1: A Before-Tax analysis of the currently owned equipment (Questions 1-5).
- Section 2: An After-Tax analysis of the new equipment (Questions 6-15).
- Section 3: A Capital Tax Factor Analysis of the new equipment (Questions 16-22).
Section 1: Before-Tax Analysis of Challenger
Equipment Details:
1. Before-Tax MARR=10%.
2. Inflation rate=0%.
3. Initial cost, salvage values and annual expenses (O+M) as shown in the table.
|
Before-Tax Analysis of Challenger: Q1 to Q5 |
|||||
|
EOY "n" |
Market Value |
Capital Recovery |
O&M |
Marginal Cost |
AEC If Kept Through Year “n”
|
|
0 |
900,000 |
|
|
|
|
|
1 |
720,000 |
AA |
80,000 |
|
|
|
2 |
576,000 |
|
96,000 |
BB |
|
|
3 |
460,000 |
|
115,200 |
|
|
|
4 |
368,640 |
|
138,240 |
|
|
|
5 |
249,912 |
|
165,888 |
CC |
|
|
6 |
235,930 |
|
199,066 |
|
DD |
|
7 |
188,744 |
|
238,879 |
|
|
|
8 |
150,995 |
|
286,654 |
|
|
1. The dollar value of cell AA is between
2. The dollar value of cell BB is between
3. The dollar value of cell CC is between
4. The dollar value of cell DD (nearest 100) is
5. The new equipment’s before-tax economic life is
Section 2: After-Tax Analysis of Challenger
Equipment Details:
1. After-Tax MARR=6%.
2. Depreciation Rate=35%
3. Income tax rate=40%.
4. Inflation rate=0%.
5. Initial cost, salvage values and annual expenses (O+M) as shown in the table.
Table Column Headings
A: Before-Tax Market Value of the equipment.
B: Annual Depreciation
C: Book Value
D: Recaptured Depreciation
E: Taxes Payable or Tax Savings on Recaptured Depreciation
F: After-Tax Market Value = Column A - Column E
G: After-Tax Capital Recovery
H: Tax Savings due to Depreciation Charges
I: Before-Tax Operating Expenses
J: After-Tax Operating Expenses
K: Annual Cost for year “n”
L: After-Tax AEW if truck is kept “n” years.
|
After-Tax Analysis of the Challenger: Q6 to Q15 |
||||||||||||
|
EOY |
A |
B |
C |
D |
E |
F |
G |
H |
I |
J |
K |
L |
|
0 |
900,000 |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
720,000 |
157,500 |
AA |
|
|
|
|
|
80,000 |
|
|
|
|
2 |
576,000 |
259,875 |
|
BB |
|
|
|
|
96,000 |
|
|
|
|
3 |
460,800 |
168,919 |
|
|
CC |
|
|
|
115,200 |
|
|
|
|
4 |
368,640 |
109,797 |
|
|
|
DD |
|
|
138,240 |
|
|
|
|
5 |
294,912 |
71,368 |
|
|
|
|
EE |
|
165,888 |
|
|
|
|
6 |
235,930 |
46,389 |
|
|
|
|
|
FF |
199,066 |
GG |
|
|
|
7 |
188,744 |
30,153 |
|
|
|
|
|
|
238,879 |
|
HH |
|
|
8 |
150,995 |
19,599 |
|
|
|
|
|
|
286,654 |
|
|
II |
6. The dollar value of cell AA is between
7. The dollar value of cell BB is between
8. The dollar value of cell CC is between
9. The dollar value of cell DD is between
10. The dollar value of cell EE is between
11. The dollar value of tax savings (a positive value) in cell FF is between
12. The dollar value of cell GG is between
13. The dollar value of cell HH is between
14. The dollar value of cell Il is between
15. The after-tax economic life of the challenger is
Section 3: Capital Tax Factor Analysis of Challenger (Q16 to
Q22)
Equipment Details:
1. After-Tax MARR=6%.
2. Depreciation Rate=35%
3. Income tax rate=40%.
4. Inflation rate=0%.
5. Salvage values and annual expenses (O+M) as shown in the table.
|
CTF (After-Tax) Analysis of Challenger: Q16-Q22 |
||
|
EOY |
Before-Tax Market Value |
Before-Tax Operating Expenses |
|
0 |
900,000 |
|
|
1 |
720,000 |
80,000 |
|
2 |
576,000 |
96,000 |
|
3 |
460,800 |
115,200 |
|
4 |
368,640 |
138,240 |
|
5 |
294,912 |
165,888 |
|
6 |
235,930 |
199,066 |
|
7 |
188,744 |
238,879 |
|
8 |
150,995 |
286,654 |
16. The capital tax factor (CTF) with the half-year rule is between
17. The capital salvage factor (CSF) (4 decimals; no rounding) is
18. The equipment’s first year service cost is
19. The equipment’s annual equivalent cost for a two-year service life is
20. The equipment’s annual equivalent cost for a four-year service life is
21. The equipment’s annual equivalent cost for a seven-year service life is
22. How many (full) years should the equipment be in service to minimize after-tax costs?
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