Question

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The owner of an industrial juicing machine (initial value $1 million, economic life 10 years) considers...

The owner of an industrial juicing machine (initial value $1 million, economic life 10 years) considers leasing it under a 7-year leasing contact at $ 175,000 / year. The estimated value of the machine at the end of the lease is 40% of its initial value which will be taxable at 35%. Consider an 8% cost of debt capital and 12% cost of equity capital. The juicing machine was initially acquired using external financing and own equity in equal amounts. The owner uses straight line depreciation. Calculate the present-valued profitability of this lease for the lessor.

Solutions

Expert Solution

Disconted Cash Flow:
Year Income(A) Depreciation(B) Finance Charges(8%) © D =A-B-C Tax(35%) (E) F=D-E Depreciation(G) H=F+G Cost of Equity(12%)(I) Present Value (G*I)
1 1,75,000.00           1,00,000.00                              40,000.00 35,000.00 12250      22,750.00           1,00,000.00 1,22,750.00 0.892857143                  1,09,598.21
2 1,75,000.00           1,00,000.00                              40,000.00 35,000.00 12250      22,750.00           1,00,000.00 1,22,750.00 0.797193878                      97,855.55
3 1,75,000.00           1,00,000.00                              40,000.00 35,000.00 12250      22,750.00           1,00,000.00 1,22,750.00 0.711780248                      87,371.03
4 1,75,000.00           1,00,000.00                              40,000.00 35,000.00 12250      22,750.00           1,00,000.00 1,22,750.00 0.635518078                      78,009.84
5 1,75,000.00           1,00,000.00                              40,000.00 35,000.00 12250      22,750.00           1,00,000.00 1,22,750.00 0.567426856                      69,651.65
6 1,75,000.00           1,00,000.00                              40,000.00 35,000.00 12250      22,750.00           1,00,000.00 1,22,750.00 0.506631121                      62,188.97
7 1,75,000.00           1,00,000.00                              40,000.00 35,000.00 12250      22,750.00           1,00,000.00 1,22,750.00 0.452349215                      55,525.87
7 Salvage 4,00,000.00 0.452349215                  1,80,939.69
                 7,41,140.80
FINANCE CHARGES = (1000000*50%)*8% = 40000
DEPRECIATION = 1000000/10 = 100000

So we have a Net loss of 1000000-741140.80 = 258859 , when we put juice machin on lease.


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