Answer:
Year Cashflow DF@5% PV
$ $
0 (32,920) 1 (32,920)
1 9,500 0.9523 9,047
2 9,500 0.9070 8,617
3 9,500 0.8638 8,206
4 9,500 0.8227 7, 816
NPV 766
The investment should be undertaken because it has a positive net present value of $766.
Step-by-step explanation:
The initial outlay is the cashflow for year 0 while the expected cash inflows are the cashflows for year 1 to 4. The discount factor for year 0 is 1 while the discount factors for year 1 to 4 will be obtained at 5% from the table provided. The present values of expected cash inflows are products of expected cash inflows and probability. Net present value is the difference between present value of expected cash inflows and initial outlay.