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Net present value. Quark Industries has a project with the following projected c

ID: 2782134 • Letter: N

Question

Net present value. Quark Industries has a project with the following projected cash flows: Initial cost: $240,000 Cash flow year one: $25,000 Cash flow year two: $75,000 Cash flow year three: $150,000 Cash flow year four: $150,000 a Using a discount rate of 10% for this project and the NPV model, determine whether the company should accept or reject this project. b. Should the company accept or reject it using a discount rate of 15%? C. Should the company accept or reject it using a discount rate of 20%? a. Using a discount rate of 10%, this project should be b. Using a discount rate of 15%, this project should be | c. Using a discount rate of 20%, this project should be 1 | |. (Select from the drop-down menu.) (Select from the drop-down menu.) (Select from the drop-down menu.)

Explanation / Answer

Given initial cost of the project =$240000

a. When the discount rate is 10%

The discounted income of the project as follows

Year Cash Flows(a) Discount rate @10%(b) Present Value of CAsh Flows(a*b)

1 $25000 0.9091 $22727.5

2 $75000 0.8264 $61980

3 $150000 0.7513 $112695

4 $150000 0.683 $102450

Total $299852.5

Net present value =Total discounted cash inflows-Initial Cash outflow=$299662.5-$240000

=$59852.5

Since the NPV of the project is positive the project should be accepted

b.When the discount rate is 15%

The discounted income of the project as follows

Year Cash Flows(a) Discount rate @15%(b) Present Value of CAsh Flows(a*b)

1 $25000 0.8696 $21740

2 $75000 0.7561 $56707.5

3 $150000 0.6575 $98625

4 $150000 0.5718 $85770

Total $262842.5

Net present value =Total discounted cash inflows-Initial Cash outflow=$262842.5-$240000

=$22842.5

Since the NPV of the project is positive the project should be accepted

c.When the discount rate is 20%

The discounted income of the project as follows

Year Cash Flows(a) Discount rate @20%(b) Present Value of CAsh Flows(a*b)

1 $25000 0.8333 $20832.5

2 $75000 0.6944 $52080

3 $150000 0.5787 $86805

4 $150000 0.4823 $72345

Total $232062.5

Net present value =Total discounted cash inflows-Initial Cash outflow=$232062.5-$240000

= -$7937.5

Since the NPV of the project is negative the project should be rejected