Capital Lease
The concept of the capital lease as the name suggests, is a capital
investment that is used to lease out equipment, property or any other asset. As the
name suggests, the lease contract has long term duration (i.e. a
long time period of lease), high rate of rent and the principal cost of the asset that is being leased out is also
quite high. The following are some important
characteristics of capital lease.
Operating Lease
(i ) If
the company take lease
Statement of payment procedure in the
context of lease perspective
|
Year |
Amount of Rent (Tk.) |
Rebate of Tax (c~45% |
Cash outflow 3=1-2 |
PV flow |
PV g10% |
|
0 |
1 |
2 |
3 |
4 |
5 |
|
0 |
2,00,000 |
0 |
2,00,000 |
1.00 |
2,00,000 |
|
1-4 |
2,00,000 |
90,000 |
1,10,000 |
3.17 |
3,48,000 |
|
|
0 |
90,000 |
(90,000) |
0.621 |
(55,890) |
|
Total =4,92,810 |
|||||
(ii) I f the company take
loan
First find out the installment
size:
Installment size =Principal=
[1/R-1/R(1+R)"]
|
= |
10,00,000 = [1/o.lo-vo.lo(l+o.lo)s] |
|
|
= |
10,00,000 = |
[1/0.10-1/0.000016] |
|
= |
10,00,000 = |
[0.000016-1
/0.000016] |
= 10,00,000 = 3.789
= 2,63,922
Table of
principal amount & amount of interest for loan perspective
|
Year |
Balance of loan |
Amount of installment |
Interest @ 10% |
Payment of principal amount |
|
0 |
10,00,000 |
2,00,000 |
- |
- |
|
1 |
10,00,000 |
2.63,922 |
1,00,000 |
1,63,922 |
|
2 |
8,36,078 |
2,63,922 |
83,608 |
1,80,314 |
|
3 |
6,55,764 |
2,63,922 |
65,576 |
1,98,346 |
|
|
4,57,418 |
2,63,922 |
45,742 |
2,18,180 |
|
|
2,39,238 |
2,63,922 |
23,924 |
2,39,238 |
[Tk. 2,00,000 adjusted which is paid at the period
of loan disbursement]
Depreciation +Maintenance Exp.=1,80,000
Statement of cash inflow and it's present value in
the context of loan and purchase a
reement
|
Year |
Payment of loan installment |
Interest exp. |
Depreci ation+ Exp. |
Tax shield able exp |
Tax shield 4x45% |
Net cash outflow |
PV factor |
PV of 10% |
|
0 |
1 |
2 |
3 |
4=2+3 |
5 |
6=1-5 |
7 |
8=6X7 |
|
|
2,00,000 |
- |
- |
- |
- |
2,00,000 |
- |
2,00,000 |
|
1 |
2,63,922 |
1,00,000 |
_ 1,80,000 |
_ 2,80,000 |
_ 1,26,000 |
1,37,922 |
09 |
1,25,371 |
|
2 |
2,63,922 _ |
83,608 |
1,80,000 |
2,63,608 |
1,18624 |
1,45,298 |
0.8264 |
1,20,074 , |
|
|
2,63,922 |
65,576 |
1,80,000 |
2,45,578 |
_ 1,10,510 |
1,53,412 |
_ 0.75131 |
1,15.260 |
|
|
2,63,922 _ |
45,742 |
1,80,000 |
2,25,142 |
1.01.584 |
1,62,338 |
0.6830 |
1 10.877 |
|
5 |
2,63,922 |
23,924 |
1,80,000 |
2,03,924 |
91,760 |
(28,604) |
0.620q~ ~(17,761) |
|
Total 6,5 3.821
Less-Salvage
value (2,00,OOOx0.62092) (1.24,180)
Gross
Total PV of net cash flow 5.29.641
Here,
Total cash outflow Tk.4, 92,810 in case of
leasing
Total
cash outflow Tk.S, 29,641 in case of purchase and
loan Amount sho-vvn less
in case of leasing Tk. 36.831
So, in the above
circumstances leasing is acceptable.
Problem No.2 ( May'2011): XYZ Builders and Co. needs to acquire
the use of a crane for construction business and is
considering whether to buy or lease. The crane cost Tk.
10,00,000 and subject to straight line depreciation method to a zero salvage value at the end of 5 years. In contrast,
lease rent of Tk. 2,20,000 per year to be paid in
advance each year for 5 years. The XYZ Builders can raise
debt at 14% payable in 5 equal installments, each installment becoming due at the beginning of the year. It is in 50% tax
bracket.
Advice the
company which one is will be beneficial.
Solution:
(i ) If the company
take lease
Statement of payment procedure in the context of lease
perspective
|
Year |
Amount of Rent (Tk.) |
Rebate of Tax @50% |
Cash outflow 3=1-2 |
PV flow |
PV
@10% |
|
0 |
1 |
2 |
3 |
4 |
5 |
|
0 |
2,20,000 |
0 |
2,20,000 |
1.00 |
2,20,000 |
|
1-4 |
2,20,000 |
1,10,000 |
1,10,000 |
3.17 |
3,48,700 |
|
|
0 |
1,10,000 |
(1,10,000) |
0.621 |
(68,310) |
|
Total |
|
||||
|
=500,390 |
|||||
(ii) If
the company take loan
First find out the
installment size:
Installment size =Principal =
[1/R-1/R(1+R)"]
= 10,00,000 =
[1/0.14-1/0.14(1+0.14)5] = 10,00,000 = [1/0.14-1/0.14(1.14) 5]
= 10.,00,000
= [7.14286-3.709755] =
10,00,000 = 3.43311
=2,91,281
Table of principal amount & amount
of interest for loan perspective
|
Year |
Balance of loan |
Amount of installment |
Interest @14% |
Payment of principal amount |
|
0 |
10,00,000 |
- |
- |
- |
|
1 |
10,00,000 |
2,91,281 |
1,40,000 |
1,51,281 |
|
2 |
8,48,719 |
2,91,281 |
1,18,821 |
1,72,460 |
|
3 |
6,76,259 |
2,91,281 |
94,676 |
1,96,605 |
|
4 |
4,79,654 |
2,91,281 |
67,152 |
2,24,129 |
|
|
2,55,525 |
2,91,299 |
35,774 |
2,55,525 |
Depreciation
=(10,00,000-0)/5=2,00,000
Statement of cash inflow and it's
present value in the context of loan and purchase agreement
|
Y. |
Payment of
loan installment |
Interest exp. |
Depreciat ion+,Vop, |
Tax shield able exp |
Tax shield 4x50% |
Net
cash outflow |
PV factor |
PV of 10% |
|
|
1 |
2 |
3 |
4=2+3 |
5 |
6=1-5 |
7 |
8=6X7 |
|
1 |
2,91,281 |
1,40,000 |
2,00,000 |
3,40,000 |
1,70,000 |
1 21,281 |
0.909 |
1,10,244 |
|
2 |
2,91,281 |
1,18,821 |
2,00,000 |
3,18,821 |
159,411 |
1,31,870 |
0.8264 |
1,08,977 |
|
3 |
2,91,281 |
94,676 |
2,00,000 |
2,94,676 |
1,47,338 |
1,43,943 |
0.75131 |
1,08,146 |
|
4 |
2,91,281 |
67,152 |
2,00,000 |
2,68,152 |
1,33,576 |
1,57,705 |
0.6830 |
1,07,713 |
|
5 |
2,91,299 |
35,774 |
2,00,000 |
2,35,774 |
1,17,887 |
1,73,412 |
0.62092 |
10,7,675 |
|
Total 5,42,755 |
||||||||
|
Gross
Total PV of net cash flow 5,42,755 |
||||||||
Here,
Total cash
outflow Tk.500,390 in case of leasing
Total cash outflow Tk.5, 42,755
in case of purchase and loan Amount shown less in case of leasing Tk. 42365
So, in the above
circumstances leasing is acceptable.