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Cardinal Company is considering a project that would require a $2,792,000 invest

ID: 2472195 • Letter: C

Question

Cardinal Company is considering a project that would require a $2,792,000 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:

  

551,600   

What is the project’s net present value?

What is the project profitability index for this project?

What is the project’s payback period?

Cardinal Company is considering a project that would require a $2,792,000 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 annual operating income = $551600

Net annual cash flow

= Net operating income + depreciation

= $551600 + $478400

=$1030000

NPV

= PV of annual cash inflow + PV of salvage value – initial investment

= $1030000 x PVIFA (14%,5) + $400000 x PVIF (14%,5) - $2792000

= $1030000 x 3.433 + $400000 x 0.519 - $2792000

=$951590

Profitability Index

= 1 + NPV/Initial investment

= 1 + $951590 / $2792000

= 1 + 0.34

= 1.34

Payback period = Initial investment / annual cash inflow = $2792000 / $1030000 = 2.71 years

Simple rate of return

= Incremental net operating income / (Initial investment-Salvage value)

= $551600 / $(2792000 – 400000)

= 23.06%