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

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:

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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.