(A) Before-Tax Cash Flow (BTCF) (B) Depreciation Deduction (D) = -t(C) Cash Flow for (E) = (A) + (D) After-Tax Cash Flow (ATCF) (C) = (A) – (B) End of Year, k Taxable Income (TI) Income Taxes Сapital investment Capital investment 1 2 Ordinary income is positive (or negative) in sign positive in sign) or positive in sign -t (TI) (opposite in sign from TI) After-tax cash Depreciation TI can be negative flows from operations N Market value N MV – BV* -t(MV – BV) MV-t(MV-BV) (MV) Before-Tax IRR, PW, and so on (Computed from Col. A, using the before-tax MARR) *BV = book value at end of year N After-Tax IRR, PW, and so on (Computed from Col. E, using the after-tax MARR) Figure 7-5 General Format (Worksheet) for After-Tax Analysis; Determining the ATCF

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
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A company is considering the purchase of a capital asset for $100,000. Installation charges needed to make the asset serviceable will total $30,000. The asset will be depreciated over six years using the straight-line method and an estimated salvage value (SV6) of $10,000. The asset will be kept in service for six years, after which it will be sold for $20,000. During its useful life, it is estimated that the asset will produce annual revenues of $30,000. Operating and maintenance (O&M) costs are estimated to be $6,000 in the first year. These O&M costs are projected to increase by $1,000 per year each year thereafter. The after tax MARR is 12% and the effective tax rate is 40%. Solve, a. Use the tabular format given in the shown Figure to compute the after-tax cash flows. b. Compute the after-tax present worth of the project, and use a uniform gradient in your formulation. c. The before-tax present worth of this asset is –$50,070. By how much would the annual revenues have to increase to make the purchase of this asset justifiable on a before-tax basis?

(A)
Before-Tax Cash
Flow (BTCF)
(B)
Depreciation
Deduction
(D) = -t(C)
Cash Flow for
(E) = (A) + (D)
After-Tax Cash
Flow (ATCF)
(C) = (A) – (B)
End of Year, k
Taxable Income (TI)
Income Taxes
Сapital
investment
Capital investment
1
2
Ordinary income
is positive (or
negative) in sign positive in sign) or positive in sign
-t (TI)
(opposite in sign
from TI)
After-tax cash
Depreciation
TI can be negative
flows from
operations
N
Market value
N
MV – BV*
-t(MV – BV)
MV-t(MV-BV)
(MV)
Before-Tax IRR,
PW, and so on
(Computed from Col. A,
using the before-tax MARR)
*BV = book value at end of year N
After-Tax IRR,
PW, and so on
(Computed from Col. E,
using the after-tax MARR)
Figure 7-5 General Format (Worksheet) for After-Tax Analysis; Determining the ATCF
Transcribed Image Text:(A) Before-Tax Cash Flow (BTCF) (B) Depreciation Deduction (D) = -t(C) Cash Flow for (E) = (A) + (D) After-Tax Cash Flow (ATCF) (C) = (A) – (B) End of Year, k Taxable Income (TI) Income Taxes Сapital investment Capital investment 1 2 Ordinary income is positive (or negative) in sign positive in sign) or positive in sign -t (TI) (opposite in sign from TI) After-tax cash Depreciation TI can be negative flows from operations N Market value N MV – BV* -t(MV – BV) MV-t(MV-BV) (MV) Before-Tax IRR, PW, and so on (Computed from Col. A, using the before-tax MARR) *BV = book value at end of year N After-Tax IRR, PW, and so on (Computed from Col. E, using the after-tax MARR) Figure 7-5 General Format (Worksheet) for After-Tax Analysis; Determining the ATCF
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Section 179 Deduction and Modified Accelerated Cost Recovery System (MACRS) Depreciation
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