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azamat
2 years ago
9

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.
Business
1 answer:
s344n2d4d5 [400]2 years ago
5 0

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

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

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