84
As
per the NPV and Pl methods, Projc shoukd be pre
ferred.
Howevet,
Project Y has a a very long inflow in the first year itscll So. the risk level ol Projcct Yis lowet, and a fim
mav prcter even Projet )
lustration 412
Solution:
10
A compan1 is engaged in cvaluating an investment projet which requires an initial cash outlay of 2.50,000 on cquip
ment The projet's conomi life is 10 vears and its salvage
value 30.000 h would requine cunnt assets of 50,000. An
additional investment of 60.000 1would also be necessary at
the end of five ears to restore the cficiency of the equip
ment. This would be written off completelv over the last five
vears. The project is expected to vield annual profit (before
tax) of L00,000. The company follows the sum of the years
digit method of depreciation. Income-tax rate is assumed to
be 40%. Should the proiect be accepted if the minimum
required rate of return is 20%?
Calculation of Present Values
Yegr
EBIT ) Dep. ()
L.00.000
40.000
L00.000 36,000 64.000
1.00,000 32,000 68,000
1,00.000
1,00,000
1,00,000
Total
1,00,000
1.00,.000
1,00,000
1.00,000
Initial cost
28,000
24.000
40,000
Working Notes :
32,000
24.000
PV of Cash Outfiows ()
PART | LONG TERM INVESTMENT DECISIONS CAPITAL BUDGETING
16,000
8.000
Current assets
Investment-60,000X
PATK) CFO) PVE PV()
60,000 36,000 76,000 833 63,308
38,400 74,400 .694 51,634
40,800 72,800 .579 42,151
PBTC)
72,000
76,000
60,000
68,000
70.000
84,000
92,000
45,600 69,600 402 27,979
36,000 76,000
40,800 72,800
45,600 69,600
50,400 66,400
55.200 63,200
335
279
PVFgj0 X 80,000
3,24,120 Total
194
162
PV of Cash Inflows ()
2,50,000 Annual Inflows
50,000 Salvage value
34,318
233 16,217
30,000
50,000
25,460
20,311
12,882
10,238
3,04,498
3,04,498
12,960
3,17,458
The NPV of the proposal, therefore, is 3,17,458-7 3,24,120 =
7 -6,662. Since the NPV of the proposal is negative, the
proposal needs to be rejected.
1. The depreciation of different years have been calculated
as per sum of the year's digit method as follows: Initial
outlay -Salvage value ie., 2,50,000 30,000 is to be
depreciated over 10 years. The sum of the years digits for
the years1 -10is55. So, depreciation for year l is?2,20,000
X(10/55) and for the year 2 it is 2,20,000 X (9/55) and so
on. The total depreciation for first 5 years is 1,60,000 and
so the written down value of the asset at the end of year
5, is? 90,000 (ie, ? 2,50,000-1,60,000). A capital expendi
ture of 60,000 is required at that stage. So, the total cost
required to be depreciated is 1,20,000 (ie., 90,000 +
60,000 -30,000) and as per the sum of the years digit
method for 5 years (ie, remaining life), the depreciation
for the year 6 is 1,20,000 X (5/15), for year 2 is 1,20,000
X (4/15) and so on.
2. Thecash flowsfor different years havel
been
calculated,
3. Thecurrent assets of ? 50,000 would he
of vear 10and therefore, it has been included in thei
llustration 4.13
The cash flows from two mutually exclusive
Projects
Aand,
are as under:
0
Years
1-7 (Annual)
Project Life
of year l0,.
Dis.Rate
15%
Profits after Tax depreciation.
16%
179%
18%
() Calculate NPV of the proposals at different discra
rates of 15%, 16%, 179%, 18%, 19% and 20%.
19%
(i) Advise on the project on the basis of IRR method
Solution:
20%
Computation of Present Value of Cash nflows of Differens
Projects.
15%
| Dis. Rate
16%
17%
18%
199%
20%
Cash Flow ()
Proj.A
Calculation of NPV:
6,000
6,000
6,000
6,000
6,000
6,000
24,960
= 17% t
24,240
23,532
22,872
22,235
PV of Inflows(A)
21,630
Calculation of IRR:
Proj.B
7,000
7,000
454
7,000
7,000
Project A
7,000
?-22,000
7,000
6,000
7 Years
PVAF 9
R2,960
2,240
1532
872
released at thee
235
4.160
-370
4.040
3.922
3.812
Proj.A
NPV(A) PV of Inflows(B)
PV Cash flows (?)
24,960
24.240
23,532
22,872
3.706 22,235
3.605 21,630
7 29,120
28,280
27,454
Project
{-27,009
26,784
1Years
25,942
25,235
X(18-17)= 17.59%
Proj.B
29,120
28,280
27,454
26.684
25.942
25,235
NPV(B)
2,120
1.280
454
-216
Project A:Since outflow of T 22,000 is falling between22,235
and 21,630, the IRR must be between 19% to 20%. S0.
interpolating the difference ofR 605 between 19% and 20%, the
IRR comes to 19.39%.
-1,058
235
= 19% +
X (20-19) = 19.39%
235 -(-370)
Project B:Since outflow of T 27,000 is falling between27,454
and ? 26,684, the IRR must be between 17% to 18%. So,
interpolating the difference of 770 between 17% and 18%, the
IRR comes to 17.59%.
-1,765
454-(-216)
Conclusion : As per the NPV technique, the Project A is
acceptable even if the discount rate is as high as 19%, whereas
the Project B becomes unviable even at 18%. As per IRK
technique, the Project A is acceptable and is having an IRR ol
19.39% against the IRR of 17.59% of Project B.
43,200 71,200 482
24.120 Current assets