Answer:
NPV Project A = - $825.31
NPV Project B = $6119.89
So, at a discount rate of 8.5%, Project B should be accepted.
NPV Project A = - $6804
Npv Project B = - $3764.48
So, at a discount rate of 13%, neither of the projects should be accepted.
Explanation:
One of the methods to evaluate a project is to determine the NPV or Net Present Value from the project. If a project provides a positive NPV after discounting the cash flows from the project at a set discount rate, the project should be accepted. If the project gives a negative NPV, the project should be discarded.
The NPV is calculated as follows,
NPV = CF1 / (1+r) + CF2 / (1+r)^2 + ... + CFn / (1+r)^n - Initial cost
Where,
- CF1, CF2, ... represents the cash flows in year 1 and year 2 and so on
- r is the discount rate
<u>At 8.5% discount rate</u>
NPV Project A = 31000/(1+0.085) + 31000/(1+0.085)^2 + 31000/(1+0.085)^3 - 80000
NPV Project A = - $825.31
NPV Project B = 110000 / (1+0.085)^3 - 80000
NPV Project B = $6119.89
So, at a discount rate of 8.5%, Project B should be accepted.
<u>At 13% discount rate</u>
NPV Project A = 31000/(1+0.13) + 31000/(1+0.13)^2 + 31000/(1+0.13)^3 - 80000
NPV Project A = - $6804
NPV Project B = 110000 / (1+0.13)^3 - 80000
Npv Project B = - $3764.48
So, at a discount rate of 13%, neither of the projects should be accepted.
