a new molding machine is expected to produce operating cash flows of $109,000 a year for 4 years. at the beginning of the project, inventory will decrease by $8,700, accounts receivables will increase by $9,500, and accounts payable will decrease by $5,200. all net working capital will be recovered at the end of the project. the initial cost of the molding machine is $319,000. the equipment will be depreciated straight-line to a zero book value over the life of the project. no bonus depreciation will be taken. the equipment will be salvaged at the end of the project creating an aftertax cash inflow of $51,600. what is the net present value of this project given a required return of 14.2 percent?



Answer :

The net present value of this project is $25,162.45. It can be calculated by using initial investment and also cash flow.

Net present value or known as NPV generally can be defined as the difference between the present value of cash outflows and also  the present value of cash inflows over a period of time. NPV or known as Net present value also used in investment planning and capital budgeting to analyze the profitability of a project or also  projected investment.

Initially we calculate about cash flow in year 0

CF0 = Initial investment - (change in working capital)

CF0 = - $319,000 + $8,700 - $9,500 -  $5,200

CF0 =  -$325,000

Thus, we also calculate the cash flow in year 4 with the same formula

CF4 = $109,000 + $51,600 - $8,700 - $9,500 -  $5,200

CF4 = $166,600

After all, we calculate the net present value

NPV = -$325,000 + $166,600 ( 1 - 1423) : 0.142 + $166,600 : 1.424

NPV = $25,162.45

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