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Cardinal Company is considering a five-year project that would require a $2,915,

ID: 2531926 • Letter: C

Question

Cardinal Company is considering a five-year project that would require a $2,915,000 investment in equipment with a useful life of five years and no salvage value. The company’s discount rate is 16%. The project would provide net operating income in each of five years as follows:

Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using table.

12. If the equipment had a salvage value of $300,000 at the end of five years, would you expect the project’s simple rate of return to be higher, lower, or the same?

13. Assume a postaudit showed that all estimates (including total sales) were exactly correct except for the variable expense ratio, which actually turned out to be 45%. What was the project’s actual net present value? (Negative amount should be indicated by a minus sign. Round discount factor(s) to 3 decimal places, intermediate calculations and final answer to the nearest whole dollar amount.)

14. Assume a postaudit showed that all estimates (including total sales) were exactly correct except for the variable expense ratio, which actually turned out to be 45%. What was the project’s actual payback period? (Round your answer to 2 decimal places.)

15. Assume a postaudit showed that all estimates (including total sales) were exactly correct except for the variable expense ratio, which actually turned out to be 45%. What was the project’s actual simple rate of return? (Round your answer to 2 decimal places.)

Sales $ 2,863,000 Variable expenses 1,014,000 Contribution margin 1,849,000 Fixed expenses: Advertising, salaries, and other fixed out-of-pocket costs $ 781,000 Depreciation 583,000 Total fixed expenses 1,364,000 Net operating income $ 485,000

Explanation / Answer

12. If the equipment had a salvage value of $300,000 at the end of five years, would you expect the project’s simple rate of return to be higher, lower, or the same?

Simple rate of return     = (Net Income/Investment) x100

                                      = ( $485000 / $2915000 ) x 100

                                      = 16.64%

13. Assume a postaudit showed that all estimates (including total sales) were exactly correct except for the variable expense ratio, which actually turned out to be 45%. What was the project’s actual net present value?

Change in variable cost = $1014000 – ($2863000 x 45%) = $2,74,350 (Additional)

Cash Flow = Net Income – Change in Variable cost + Depreciation

                   = $485000 - $274350 + $583000

                   = $ 793650

Net Present Value = (Present Value of Cash flows + Present Value of salvage value) – Initial Investment

= [$ 793650 x (PVAF 16%,5 Years) ] + [$300000 x (PVF 16%, 5Years] -

$2915000

= [$ 793650 x 3.2743] + [$300000 x 0.47611] - $2915000

= $2598648 + $142833 - $2915000

= -$73,519 (Negative)

Net Present Value = - $73,519 (Negative)

14. Assume a postaudit showed that all estimates (including total sales) were exactly correct except for the variable expense ratio, which actually turned out to be 45%. What was the project’s actual payback period?

Actual Payback Period = Initial Investment / Cash Flow

                                      = $2915000 / $793650

                                      = 3.67 Years

15. Assume a postaudit showed that all estimates (including total sales) were exactly correct except for the variable expense ratio, which actually turned out to be 45%. What was the project’s actual simple rate of return?

Project’s actual simple rate of return         = (Revised Net Income / Investment) x 100

                                                = [ ($485000 - $274350) / $2915000 ]x100

                                                = [ $210650 /$2915000 ] x 100

                                                = 7.23%