Nico\'s wife is the Chief Financial Officer of Tangshang Industries. Nico\'s wif
ID: 2807033 • Letter: N
Question
Nico's wife is the Chief Financial Officer of Tangshang Industries. Nico's wife was assigned to evaluate the acquisition of a new petroleum- refining machine (Model XL elite) to replace an old petroleum-refining machine (Model basic) who was acquired 3 years ago. (Refer to tables 12- 11 and 12-12 of the presentation) The cost information of the machine is as follows: Model XL elite Model Baisc Acquisition Cost Installation Costs 4,500,000 400,000 3,000,000 300,000 500,000 annually for the model XL elite. The old machine (Model basic) will be sold at $2,500,000. Tangshang Industries is in the 37.5% marginal tax rate and the cost of capital is 12% a. What is the book value of the old Model Basic b. What is the Capital Gain/ (loss) on the sale of the old Model Basic? c. What is the tax benefit/(obligation) from the sale d. What is the cash inflow from the sale of the old Model Basic? e. What is the net cost of the new Model XL elite? f. Compute the present value of the total annual benefits. g. Should the replacement be undertaken?Explanation / Answer
a. Book value of old model basic = (3,300,000*7 )/10 = 2,310,000
b.Capital gain = Sale proceeds - book value = 2,500,000 -2,310,000 = 190,000
c.Tax obligation on capital gain = 190000*37.5% = 71250
d.Cash inflow from sales = 2,500,000
e.Net cost of new machine = 4,900,000
f.Operation cost saved annually = 850000-500000 = 350000
Additional depreciation = 4900000/10 - 330000 = 160000
Tax saving on additional depreciation = 160000*37.5% = 60000
Total annual benefits = Operating cost saved annually + Tax saving on additional deprecation = 350000+60000 = 410000
Present value of annual benefit (7 Yrs) = 410000 * PVAF(12%,7) = 410000*4.564 = 1,871,240
g. Initial outflow Differential = 4,900,000 (cost of new machine) - 2500000(sale) + 71250 (tax paid) = 2471250
NPV = 1871240 - 2471250 = -600010
NPV is negative, replacement decision is not viable.
Note : There was no detail for terminal cash flow, if the present value of Terminal cash inflow is more than 600010, then the replacement becomes financially viable.
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