Question

A corporation makes an investment of $20,000 that will provide the following cash flows after the corresponding amounts of time: Year 1 - $10,000 Year 2 - $10,000 Year 3 - $2,000 a. Should the company make this investment? b. What is the net present value at a 7 percent discount rate? Round your answer to two decimal points.

Answer 1

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).

What is NPV?

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:

$\rm\ PV \rm\ of \rm\ cash \rm\ inflows = \rm\ PV \rm\ of \rm\ year \rm\ 1 + \rm\ PV \rm\ of \rm\ year \rm\ 2 + \rm\ PV \rm\ of \rm\ year \rm\ 3\\\rm\ PV \rm\ of \rm\ cash \rm\ inflows =\ 9,346 + \ 8,735 + \ 1,633\\\rm\ PV \rm\ of \rm\ cash \rm\ inflows =\ 19,714$

Step-3 Computation of NPV:

$\rm\ NPV=\rm\ PV \rm\ of \rm\ cash \rm\ inflows- \rm\ Cost \rm\ of \rm\ investment\\\rm\ NPV=\ 19,714-\ 20,000\\\rm\ NPV=\ (286)$

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

#SPJ1