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Big Steve\'s, makers of swizzle sticks, is considering the purchase of a new pla

ID: 2612305 • Letter: B

Question

Big Steve's, makers of swizzle sticks, is considering the purchase of a new plastic stamping machine. This investment requires an initial outlay of $ 90,000 and will generate net cah inflows of $21,000 per year for 9 years.

What is the project NVP using a discount rate is 11 percent? Should the project be accepted? Why or Why not?

What is the projects NPV using a discount rate of 14%? Should the project be accepted ? why or why not?

What is the project internal rate of return? Should the project be accepted ? why or why not?

A) If the discount rate is 11 percent then the project NPV is ________

B)

Explanation / Answer

1.

Net Cash inflows = $90000

Present Value of net cash inflows @ 11% discount rate = 21000* cumulative PVF @ 11% for 9 years = 21000*5.537      = $116277

NPV = Present Value of Cash inflows - Cash outflows = 116277-90000 = $26277

As the NPV is positive, the project should be accepted.

2.

NPV @ 14% = Present Value of cash inflows @ 14% for 9 years - Cash outflows

                     = [21000*4.946] - 90000

                     = $13866

As the NPV is positive, the project should be accepted.

3.

NPV @ 20% = Present Value of cash inflows @ 20% for 9 years - Cash outflows

                     = [21000*4.031] - 90000

                     = -$5349

Internal rate of return = {NPV @ 14% / [NPV @ 14% - NPV @ 20%] * Difference in rates } + 14%

                                  = {13866/ [13866 - (-5349)] * 6} + 14

                                  = 18.33%

If the discount rate is 11% then the project NPV is $26277.