In: Finance
Sadik Industries must install $1 million of new machinery in its Texas plant. It can obtain a bank loan for 100% of the required amount. Alternatively, a Texas investment banking firm that represents a group of investors believes that it can arrange for a lease financing plan. Assume that these facts apply:
1.The equipment falls in the MACRS 3-year class.
2. Estimated maintenance expenses are $46,000 per year.
3.The firm's tax rate is 30%.
4.If the money is borrowed, the bank loan will be at a rate of 13%,
amortized in six equal installments at the end of each year.
5.The tentative lease terms call for payments of $280,000 at the
end of each year for 3 years. The lease is a guideline lease.
6.Under the proposed lease terms, the lessee must pay for
insurance, property taxes, and maintenance.
7.Sadik must use the equipment if it is to continue in business, so
it will almost certainly want to acquire the property at the end of
the lease. If it does, then under the lease terms it can purchase
the machinery at its fair market value at Year 3. The best estimate
of this market value is $230,000, but it could be much higher or
lower under certain circumstances. If purchased at Year 3, the used
equipment would fall into the MACRS 3-year class. Sadik would
actually be able to make the purchase on the last day of the year
(i.e., slightly before Year 3), so Sadik would get to take the
first depreciation expense at Year 3 (the remaining depreciation
expenses would be at Year 4 through Year 6). On the time line,
Sadik would show the cost of the used equipment at Year 3 and its
depreciation expenses starting at Year 3.
Year 3-year MACRS
1) 33.33 %
2) 44.45 %
3) 14.81 %
4) 7.41 %
What is the net advantage of leasing? Do not round intermediate calculations. Round your answer to the nearest dollar.
OPTION -1- BUY THE EQUIPMENT- 100% FINANCE |
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PARTICULARS |
Y1 |
Y2 |
Y3 |
Y4 |
Y5 |
Y6 |
||
A |
PRINCIPLE REPAYMENT |
120153 |
135773 |
153424 |
173369 |
195907 |
221375 |
1000000 |
B |
INTEREST ELEMENT NET OF TAX |
91000 |
80066 |
67711 |
53749 |
37973 |
20145 |
350644 |
C |
MAINTENANCE COST- NET OF TAX = 46000 X 0.7 |
32200 |
32200 |
32200 |
32200 |
32200 |
32200 |
193200 |
D |
SAVING OF TAX ON DEPRECIATION |
99990 |
133350 |
44430 |
22230 |
300000 |
||
(1000000*33.33%)*30% |
(1000000*44.45%)*30% |
(1000000*14.81%)*30% |
(1000000*7.41%)*30% |
|||||
NET OUTFLOW OF FUNDS IN BUY OPTION = A+B+C-D |
143363 |
114689 |
208904 |
237088 |
266079 |
273720 |
1243844 |
|
Present value factor @ 13% ( As outflows are unequal in both options ) |
0.88 |
0.78 |
0.69 |
0.61 |
0.54 |
0.48 |
||
Present Values of outflows |
126870 |
89818 |
144781 |
145410 |
144417 |
131473 |
782770 |
|
OPTION-2- LEASING |
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PARTICULARS |
Y1 |
Y2 |
Y3 |
Y4 |
Y5 |
Y6 |
||
A |
LEASE RENTALS- NET OF TAX = 280000 X 70% |
196000 |
196000 |
196000 |
||||
B |
COST OF EQUIPMENT |
230000 |
||||||
C |
SAVING OF TAX ON DEPRECIATION |
22998 |
30671 |
10219 |
5113 |
|||
(230000*33.33%)*30% |
(230000*44.45%)*30% |
(230000*14.81%)*30% |
(230000*7.41%)*30% |
|||||
NET OUTFLOW OF FUNDS IN LEASE OPTION = A+B-C |
196000 |
196000 |
403002 |
-30671 |
-10219 |
-5113 |
749000 |
|
Present value factor @ 13% ( As outflows are unequal in both options ) |
0.88 |
0.78 |
0.69 |
0.61 |
0.54 |
0.48 |
||
Present Values of outflows |
173451 |
153497 |
279301 |
-18811 |
-5546 |
-2456 |
579436 |
|
NET advantage of leasing AT PRESENT VALUES |
782770 |
MINUS |
579436 |
203334 |
||||
working notes |
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we assume that loan repayed in equal installment including interest, but in other hand we can assume that loan may repaid as $ 200000 + interest |
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if we assume repayments as $ 200000 + interest, then only table will require, no need of Formula |
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ANNUAL EQUAL INSTALLMET = [P x R x (1+R)^N]/[(1+R)^N-1] |
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P |
1000000 |
|||||||
R |
0.13 |
|||||||
N |
6 |
|||||||
(1+R)^N |
2.08 |
|||||||
[(1+R)^N-1] |
1.08 |
|||||||
156 |
||||||||
[P x R x (1+R)^N]/[(1+R)^N-1] |
250153 |
|||||||
Loan repayment schedule |
1000000 |
|||||||
Sl. |
1 |
2 |
3 |
4 |
5 |
6 |
TOTAL |
NET OF TAX |
Interest |
130000 |
114380 |
96730 |
76784 |
54247 |
28779 |
500919 |
350644 |
Principal |
120153 |
135773 |
153424 |
173369 |
195907 |
221375 |
1000000 |
|
Balance |
879847 |
744074 |
590650 |
417281 |
221375 |
0 |
||
six equal installment |
250153 |
250153 |
250153 |
250153 |
250153 |
250153 |