Beacon Company is considering automating its production facility. The initial investment in automation would be $15 million, and the equipment has a useful life of 10 years with a residual value of $500,000. The company will use straight-line depreciation. Beacon could expect a production increase of 40,000 units per year and a reduction of 20 percent in the labor cost per unit.
Determine the project's accounting rate of return. (Round your answer to 2 decimal places.)
Accounting Rate of Return____________
Determine the project's payback period. (Round your answer to 2 decimal places.)
Payback Period _______________years
Using a discount rate of 15 percent, calculate the net present value (NPV) of the proposed investment. (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided. Negative amount should be indicated by a minus sign.)
Net Present Value ______________
Recalculate the NPV using a 10% discount rate. (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided. Negative amount should be indicated by a minus sign.)
Net Present Value_________

Respuesta :

Question Completion:

                                                     Current                         Proposed

                                                   no automation             with automation

Production and Sales Volume  80,000 units                       120,000 units

                                     Per unit                           Per unit

Sales revenue                $90        $7,200,000    $90        $10,800,000

Variable costs

Direct materials                18                                    18

Direct labor                      25                                   20

Variable overhead           10                                    10

Total variable costs         53                                   48

Contribution per unit    $37        2,960,000       $42           5,040,000

Fixed costs                                   1,250,000                         2,350,000

Net operating income                $1,710,000                       $2,690,000                

Answer:

Beacon Company

a. The project's accounting rate of return = Net operating income/Initial investment * 100

= $2,690,000/$15,000,000 * 100

= 17.93%

b. The project's payback period =

Initial investment/Net Annual Cash inflow

= $15,000,000/$4,140,000

= 3.62 years

c. NPV (PV factor at 15% for 10 years)

Cash flows             Amount     PV factor    PV

Cash outflows = $15,000,000     1         -$15,000,000

Cash inflows =        4,140,000   5.019       20,778,660

Salvage value           500,000   0.247            123,500

NPV =                                                         $5,902,160

c. NPV (PV factor at 10% for 10 years)

Cash flows             Amount     PV factor    PV

Cash outflows = $15,000,000     1         -$15,000,000

Cash inflows =        4,140,000   6.145       25,440,300

Salvage value           500,000   0.386            193,000

NPV =                                                        $10,633,300

Explanation:

a) Data and Calculations:

Initial investment cost of production facility = $15 million

Estimated useful life of equipment = 10 years

Residual value = $500,000

Annual depreciation expense = $1,450,000 ($15m - $500,000)/10

Net Annual Cash inflows = Net operating income + Depreciation

= $2,690,000 + $1,450,000 = $4,140,000