A) The company should not invest in the provided project due to the negative NPV of the project.
B) The NPV of the project comes out to be (286).
<h3>What is NPV?</h3>
NPV is an abbreviated form of Net present value and computed by deducting the cash outflows from cash inflows at the present value.
Given values:
Cash flow of year 1: $10,000
Cash flow of year 2: $10,000
Cash flow of year 3: $2,000
Cash outflow (cost of investment) =$20,000
Step-1 Computation of PV of cash inflows of every year:
PV of year 1 = Cash inflow of year 1 / (1+ interest rate)^ 1
= $10,000 / (1+0.07) ^ 1
= $10,000 X 0.934579
= $9,346
PV of year 2 = Cash inflow of year 1 / (1+ interest rate)^ 2
= $10,000 / (1+0.07) ^ 2
= $10,000 X 0.873438
= $8,735
PV of year 3= Cash inflow of year 1 / (1+ interest rate)^ 3
= $2,000 / (1+0.07) ^ 2
= $2,000 X 0.816297
=$1,633
Step-2 Computation of total amount of PV of cash inflows:
![\rm\ PV \rm\ of \rm\ cash \rm\ inflows = \rm\ PV \rm\ of \rm\ year \rm\ 1 + \rm\ PV \rm\ of \rm\ year \rm\ 2 + \rm\ PV \rm\ of \rm\ year \rm\ 3\\\rm\ PV \rm\ of \rm\ cash \rm\ inflows =\$9,346 + \$8,735 + \$1,633\\\rm\ PV \rm\ of \rm\ cash \rm\ inflows =\$19,714](https://tex.z-dn.net/?f=%5Crm%5C%20PV%20%5Crm%5C%20of%20%5Crm%5C%20cash%20%5Crm%5C%20inflows%20%3D%20%5Crm%5C%20PV%20%5Crm%5C%20%20of%20%5Crm%5C%20%20year%20%5Crm%5C%20%201%20%2B%20%5Crm%5C%20%20PV%20%5Crm%5C%20of%20%5Crm%5C%20year%20%5Crm%5C%202%20%2B%20%5Crm%5C%20PV%20%5Crm%5C%20of%20%5Crm%5C%20year%20%5Crm%5C%203%5C%5C%5Crm%5C%20PV%20%5Crm%5C%20of%20%5Crm%5C%20cash%20%5Crm%5C%20inflows%20%3D%5C%249%2C346%20%2B%20%5C%248%2C735%20%2B%20%5C%241%2C633%5C%5C%5Crm%5C%20PV%20%5Crm%5C%20of%20%5Crm%5C%20cash%20%5Crm%5C%20inflows%20%3D%5C%2419%2C714)
Step-3 Computation of NPV:
![\rm\ NPV=\rm\ PV \rm\ of \rm\ cash \rm\ inflows- \rm\ Cost \rm\ of \rm\ investment\\\rm\ NPV=\$19,714-\$20,000\\\rm\ NPV=\$ (286)](https://tex.z-dn.net/?f=%5Crm%5C%20NPV%3D%5Crm%5C%20PV%20%5Crm%5C%20of%20%5Crm%5C%20cash%20%5Crm%5C%20inflows-%20%5Crm%5C%20Cost%20%5Crm%5C%20of%20%5Crm%5C%20investment%5C%5C%5Crm%5C%20NPV%3D%5C%2419%2C714-%5C%2420%2C000%5C%5C%5Crm%5C%20NPV%3D%5C%24%20%28286%29)
Therefore, the NPV comes out to be a negative amount of 286, and hence, the company should not accept the project.
Learn more about the net present value in the related link:
brainly.com/question/14015430
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