In: Finance
Kumquat Farms Ltd. has decided to acquire a kumquat picking machine. The cost of the picking machine is $45,000, and it has an economic life of 10 years. At the end of seven years, the market (salvage) value is estimated to be $11,000. Seven years is the time horizon for analysis.
The owner of Kumquat Farms Ltd. has discussed this acquisition with his financial services conglomerate. It has agreed to lend him the purchase price at 10 percent per year, payable in equal blended payments at the end of each year, for seven years.
An alternative method of financing the equipment would be to lease it from the local leasing store. Annual lease payments, payable at the beginning of each of the next seven years, would be $7,750. This would be considered an operating lease.
The equipment has a CCA of 20 percent. The benefits of any tax shields are realized at the end of each year. The company’s tax rate is 25 percent. Kumquat Farms’ cost of capital is 16 percent.
a-1. Calculate PV cost of lease alternative. (Do not round intermediate calculations. Round the final answer to nearest whole dollar. Input the answer as positive value.)
PV cost $
a-2. Calculate PV cost of borrowing/purchase alternative. (Do not round intermediate calculations. Round the final answer to nearest whole dollar. Input the answer as positive value.)
PV cost $
b. Should Kumquat Farms Ltd. lease or buy the picking machine?
Lease
Borrow/Purshase
a-2 | PV OF COST OF BORROWING /PURCHASE OPTION | ||||||||
Equipment Cost | $45,000 | ||||||||
CCA RATE | 20% | ||||||||
A | B | C=A*B | D=A-B | D=C*25% | E | ||||
CCA | Amount of | Ending | Depreciation | Accumulated | |||||
Year | Beginning of Year Book value | Rate | Depreciation | Book value | Tax Shield | Depreciation | |||
1 | $45,000 | 20.00% | $9,000 | $36,000 | $2,250 | $9,000 | |||
2 | $36,000 | 20.00% | $7,200 | $28,800 | $1,800 | $16,200 | |||
3 | $28,800 | 20.00% | $5,760 | $23,040 | $1,440 | $21,960 | |||
4 | $23,040 | 20.00% | $4,608 | $18,432 | $1,152 | $26,568 | |||
5 | $18,432 | 20.00% | $3,686 | $14,746 | $922 | $30,254 | |||
6 | $14,746 | 20.00% | $2,949 | $11,796 | $737 | $33,204 | |||
7 | $11,796 | 20.00% | $2,359 | $9,437 | $590 | $35,563 | |||
Book Value at end of year 7=45000-35563 | $9,437 | ||||||||
Salvage Value (Before Tax) | $11,000 | ||||||||
Gain on Salvage =11000-9437 | $1,563 | ||||||||
Tax On Gain =1563*25% | $391 | ||||||||
After tax salvage Cash Flow=11000-391= | $10,609 | ||||||||
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