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Compare the following two Alternatives using MACRS Depreciation and Present Wort

ID: 2647478 • Letter: C

Question

Compare the following two Alternatives using MACRS Depreciation and Present Worth AFTER taxes. MARR = i = 6% ITR = 40 %. A company wishes to decide between two approaches to providing transportation in a city which has sea port facilities and good highways. Alternative A requires buying 4 GENRAl PURPOSE TRUCKS at a cost of $25,000 each. Alternative B requires buying a small ocean going Tug (TUG BOAT) at a cost of $200,000. Both the trucks and the Tug will be kept or onger ian the period we are considering. The Before Tax Revenue Flow for the combine e trucks is $ 30,000 per year. The Before Tax Revenue Flow for the Tug >s $ 80,000 per yea Analyze the alternatives for a period of n = 8 years.

Explanation / Answer

Answer: MACRS DEPRECIATION:

ALTERNATIVE A: The cost of truck is 25000*4 = 100000.

5-year property.

Automobiles, taxis, buses, and trucks.

ALTERNATIVE B: TUG: The cost of tug is = $200000.

10-year property.

Vessels, barges, tugs, and similar water transportation equipment.

PRESENT WORTH AFTER TAX:

ALTERNATIVE A: TRUCK:

PARTICULARS                      TIME    P.V.F(6%)       AMOUNT ($)           PRESENT VALUE ($)

CASH OUTFLOW:

Cost of truck                           0           1              100000                     100000

P.V.C.O (A)                                                                             100000

CASH INFLOW:

Cash flow after tax

(30000*(1-40%)=18000            1-8   6.20979           18000                  111776.22

P.V.C.I (B)                                                                          111776.22

N.P.V (B-A)                                                                             11776.22

ALTERNATIVE B: TUG

PARTICULARS                      TIME    P.V.F(6%)       AMOUNT ($)           PRESENT VALUE ($)

CASH OUTFLOW:

Cost of tug                           0           1              200000                     200000

P.V.C.O (A)                                                                             200000

CASH INFLOW:

Cash flow after tax

(80000*(1-40%)=48000            1-8   6.20979           48000                  298069.92

P.V.C.I (B)                                                                          298069.92

N.P.V (B-A)                                                                             98069.92

Advise: Alternative B is adopted as it has higher N.P.V.

YEARS MACRS CALCULATION AMOUNT ($) 1 100000*20% 20000 2 100000*32% 32000 3 100000*19.20% 19200 4 100000*11.52% 11520 5 100000*11.52% 11520 6 100000*5.76% 5760
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