Answer:
The net present value of the machine = $ 1590
Explanation:
Solution
The first step is to compute the present value of annual cash inflows as shown below:
The present value of the inflow of cash = (Annual inflow of cash * PVIFA rate, period)
which is
= $11,000 * PVIFA 12%, 4
= $11,000 * 3.0373
= $ 33,410
Note: the present value of inflow of cash has been computed by multiplying Annual cash inflows and Cumulative factor of 12% and 4 years. Annual cash inflow is $11,000 and from the table of PVIFA rate for a 4 periods at 12% discount rate is 3.0373.
Next step is to compute the Net value as shown in the equation below:
Net present value = (present value of inflow of cash - Investment)
which is
=$ 33, 410 - $ 35,000
= $1590
The net present value is = $ 1590
Note: Net present value has been computed be subtracting investment from the present value of inflow of cash.
The opening investment is $35,000 and the present value of inflow of cash is $33,410. since the initial investment is more than the present value of cash inflows, the net present value is seen as negative.
