question archive Question 1) Find the net present value (NPV) for the following series of future cash flows, assuming the company's cost of capital is 11
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Question 1) Find the net present value (NPV) for the following series of future cash flows, assuming the company's cost of capital is 11.13 percent. The initial outlay is $318,577.
Year 1: 121,833
Year 2: 129,850
Year 3: 153,945
Year 4: 181,083
Year 5: 153,886
Round the answer to two decimal places.
Answer:
Net present value $217,884.25
Solution:
Year 1: (1+.1113)^-1 x 121,833 = 109,631.0627
Year 2: (1+.1113)^-2 x 129,850 = 105,142.7484
Year 3: (1+.1113)^-3 x 153,945 = 112,168.6892
Year 4: (1+.1113)^-4 x 181,083 = 118,727.8008
Year 5: (1+.1113)^-5 x 153,886 = 90,790.94559
Total Present value cash in flow 536,461.2467
Total Present value cash in flow 536,461.2467
Less:
Initial outlay (318,577)
Net present value 217,884.25
The investment can generate a net present value of $217,884.25 within 5 years.
This is acceptable investment because the net present value is positive or the cash inflow is higher than the initial outlay.