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2013-11-13 来源: 类别: 更多范文
Corporate Finance (Fin622)”
Assignment No. 1 Marks: 20
Being the finance manager of XYZ Company, you are to select one project of two available options i.e. Project A and Project B. The relevant cash flows for both the projects are summarized in given table.
Project A
Project B
Initial investment
Rs. 57,000
Rs. 54,000
Year(n)
Cash inflows (CFn)
Cash inflows (CFn)
1
Rs. 20,000
Rs. 22,000
2
20,000
20,000
3
20,000
18,000
4
20,000
16,000
Assume the discount rate to be 14 percent.
Required:
• Calculate the payback period of each project.
• Calculate the Net present value (NPV) of each project.
• On the basis of results of pay back period and NPV, which project would you recommend to your company and why'
|
“Corporate Finance |
Q.1: Calculate the payback period of each project.
For Project A
Year | 0 | 1 | 2 | 3 | 4 |
Project A | -57,000 | 20,000 | 20,000 | 20,000 | 20,000 |
The formula of Payback period is,
PP=Io/Ct
PP=57,000/20,000
PP=2.85years
For Project B
Year | 0 | 1 | 2 | 3 | 4 |
Project B | -54000 | 22,000 | 20,000 | 18,000 | 16,000 |
Payback period is lies between year 2 and year 3 .Sum of money recovered by the end of the second year
= (22,000+20,000)
= 42,000
=54,000 – 42000
= 12,000
PP= (2+12,000/18,000)
PP=2.67years
Q.2: Calculate the Net present value (NPV) of each project.
For Project A
Year | 0 | 1 | 2 | 3 | 4 |
Project A | -57,000 | 20,000 | 20,000 | 20,000 | 20,000 |
NPV=Cf [(1/i-1/i (1+i)]-Ct
NPV=20,000[(1/.14 - 1/.14 (1+.14) ^4)]-57,000
NPV=20,000[(7.1429 – 1/ 0.2365)] – 57,000
NPV=20,000 (7.1429 – 4.2283) – 57,000
NPV= 20,000 *(2.9146) – 57000
NPV=58291 – 57,000
NPV=1291
For Project B
Year | 0 | 1 | 2 | 3 | 4 |
Project B | -54000 | 22,000 | 20,000 | 18,000 | 16,000 |
NPV= [Cf1/ (1+i) + Cf2/ (1+i) ^2+ Cf3/ (1+i) ^3+ Cf4/ (1+i) ^4] -Ct
NPV= [22,000 / (1+.14) +20,000/ (1+.14) ^2+18,000/ (1+.14) ^3+16,000 / (1+.14) ^4] - 54000
NPV=19298+15389+12150+9473-54000
NPV=56310 – 54000
NPV=2310
Q.3: On the basis of results of pay back period and NPV, which project would you recommend to your company and why'
As per the Calculation According to the Payback Period method we should have to take Project B Because it has less payback time as compare to Project A.
As far as the NPV is concern the both the projects is NPV > 0, so both Project could be possible to take , but the Project are Mutually exclusive then we should take the project that has the Greater NPV so that is the Project B.

