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Cardinal Company is considering a project that would require a $2,725,000 invest

ID: 2483605 • Letter: C

Question

Cardinal Company is considering a project that would require a $2,725,000 investment in equipment with a useful life of five years. At the end of five years, the project would terminate and the equipment would be sold for its salvage value of $400,000. The company’s discount rate is 14%. The project would provide net operating income each year as follows:

  

What is the project’s payback period? (Round your answer to 2 decimal places.)

What is the project’s simple rate of return for each of the five years? (Round your answer to 2 decimal places. (i.e 0.1234 should be entered as 12.34.))

If the company’s discount rate was 16% instead of 14%, would you expect the project's net present value to be higher than, lower than, or the same?

Cardinal Company is considering a project that would require a $2,725,000 investment in equipment with a useful life of five years. At the end of five years, the project would terminate and the equipment would be sold for its salvage value of $400,000. The company’s discount rate is 14%. The project would provide net operating income each year as follows:

Explanation / Answer

Net out flow of Cash= $ 2,725,000

Net annual Cash Inflow = Net operating income + Depreciation

                                  = 571,000 + 465,000

                                 = 1,036,000

Net present Value of Cash inflows = Cumulative Pv @ 14% X annual Cash flow + Pv of 5th year @14% X Salvage

                                                 =   3.433 X 1,036,000 + 0.519 X 400,000

                                                 = 3,556,588 + 207,600

                                                 = $ 3,764,188

Net present Value of Project = NPV of inflown - Cash out flows

                                         = $ 3,764,188 - $2,725,000

                                         = $ 1,039,188

Since NPV of project is Positive , the project is acceptable.

7) Pay back period

Year                 Cash Inflow         

1                      1,036.000           

2                      1,036,000            

3                      1,036,000            

4                      1,036,000            

5                      1,436,000            

So to recover the cost of $ 2,725,000 it lies somewhere in the middle of 3rd to 4th year

Payback period = initial Investment / Annual Cash flow

                      = $ 2,725,000 / 1,036,000

                      = 2.63 years

8) Simple rate of return = Annual Cash inflow X 100 / Initial Investment

                                  = 1,036,000 X 100 / 2,725,000

                                  = 38.02%

9) The net present value will decrease as or lower than 14 % as when the discount factor increases NPV tend to decrease.