Calculation of NPV:
1) Calculation of Net Present Value (NPV) of Project A:
Year | Particulars | Discounting Factor @ 8% | Cash Flow | Net Present Value |
0 | Initial Investment | 1 | (110000) | (110000) |
1-4 | Annual cash saving | 3.312127 (Cumulative) | 33954 | 112459.96 |
Net Present Value | 2459.96 |
2) Calculation of Net Present Value (NPV) of Project B:
Year | Particulars | Discounting Factor @ 8% | Cash Flow | Net Present Value |
0 | Initial Investment | 1 | (38000) | (38000) |
1-4 | Annual cash saving | 3.312127 (Cumulative) | 12511 | 41438.02 |
Net Present Value | 3438.02 |
Based on Net Present Value (NPV) of both the projects, Project B gives higher NPV. Hence, Project B shall be selected.
Calculation of Internal Rate of Return (IRR)
1) NPV of Project A @ 10% rate of interest
Year | Particulars | Discounting Factor @ 10% | Cash Flow | Net Present Value |
0 | Initial Investment | 1 | (110000) | (110000) |
1-4 | Annual cash saving | 3.169865 (Cumulative) | 33954 | 107629.60 |
Net Present Value | -2370.40 |
2) Calculation of Net Present Value of Project B @ 12%
Year | Particulars | Discounting Factor @ 10% | Cash Flow | Net Present Value |
0 | Initial Investment | 1 | (38000) | (38000) |
1-4 | Annual cash saving | 3.037349 (Cumulative) | 12511 | 38000.27 |
Net Present Value | 00 |
IRR is the rate where NPV of the project is zero:
Now for calculating IRR of project A formula:
Starting Rate + [NPV at starting rate/(NPV at starting rate + NPV at ending rate) * (Ending rate- Starting Rate)]
putting the values
8 + [ 2459.96/ (2459.96+2370.40) * (10 - 8)]
= 8 + 1.01854
= 9.01854
Therefore, IRR of Project A is 9.01854%.
IRR of Project B is 12.00%
Hence, based on IRR Project B shall be selected, as project B gives a higher internal rate of return (IRR).
Conclusion in Table format
Particulars | NPV @ 8% |
Project A | 2459.96 |
Project B | 3438.0 |
Particulars | IRR (%) |
Project A | 9.01854 |
Project B | 12.00% |
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