question
1
a: (i) Under payback rule:
Project A¡¦s payback period:
The sum of first four year cash flow = 120,000+120,000+120,000+290,000=650,000
15,000/290,000 = 0.05years
The payback period = 4+0.05=4.05years
Project B¡¦s payback period:
The sum of first two year cash flow =
240,000+240,000 = 480,000
185,000/240,000 = 0.77years
The payback period = 2.77years
The project B¡¦s payback period is accepted because 2.77 years is less than the 4 years. But project A is not accepted which payback period is 4.05 years that is more than 4 years
(ii) Under discounted payback rule:
Project A¡¦s payback period:
The sum of first four year cash flow =
120,000/(1+9%)+120,000/(1+9%)^2+120,000/(1+9%)^3+120,000/(1+9%)^4
=509,198.67
(665,000-509,198.67)/188480.10 = 0.83
The payback period = 4.83 years
Projeect B¡¦s payback period:
The sum of first three year cash flow =
240,000/(1+7%)+240,000/(1+7%)^2+240,000/(1+7%)^3
=629,835.85
(665,000-629,835.85)/82,392.68 = 0.43
The payback period = 3.43years
Year
|
Project A
|
|
Porject B
|
|
0
|
-665000
|
9%
|
-665000
|
7%
|
1
|
120000
|
110091.74
|
240000
|
224299.07
|
|
|
-554908.26
|
|
-440700.93
|
2
|
120000
|
101001.60
|
240000
|
209625.29
|
|
|
-453906.66
|
|
-231075.64
|
3
|
120000
|
92662.02
|
240000
|
195911.49
|
|
|
-361244.64
|
|
-35164.15
|
4
|
290000
|
205443.31
|
108000
|
82392.68
|
|
|
-155801.33
|
|
|
5
|
290000
|
188480.10
|
108000
|
|
|
|
|
|
|
|
|
0.83
|
|
0.43
|
|
|
4.83years
|
|
3.43years
|
The project B¡¦s payback period is accepted because 3.43 years is less than the 4 years. But project A is not accepted which payback period is 4.83 years that is more than 4 years
B(i)
NPV of Project A = 665000-(120000/1.09)+(120000/1.09^2)+(120000/1.09^3)+(290000/1.09^4)+(290000/1.09^5)+(290000/1.09^6)
=205,596.30
NPV of Project B = 665000-(240000/1.07)+(240000/1.07^2)+(240000/1.07^3)+(108000/1.07^4)+(108000/1.07^5)+(108000/1.07^6)
=196,196
IRR of Project A =
NPV=0=-665000+(120000/(1+IRR))+(120000/(1+IRR)^2)+(120000/(1+IRR)^3)+(290000/(1+IRR)^4)+(290000/(1+IRR)^5)+(290000/(1+IRR)^6)
IRR = 17%
IRR of Project B =
|