Question

The Singer Division of Patio Enterprises currently earns $2.86 million and has divisional assets of $26 million. The division manager is considering the acquisition of a new asset that will add to profit. The investment has a cost of $3,483,000 and will have a yearly cash flow of $867,000. The asset will be depreciated using the straight-line method over a six-year life and is expected to have no salvage value. Divisional performance is measured using ROI with beginning-of-year net book values in the denominator. The company’s cost of capital is 8 percent. Ignore taxes. The division manager learns that he has the option to lease the asset on a year-to-year lease for $758,000 per year. All depreciation and other tax benefits would accrue to the lessor.

a. What is the division's residual income before considering the project?(Enter your answer in dollars, not in millions.)

b. What is the division's residual income if the asset is purchased?(Enter your answer in dollars, not in millions.)

c. What is the division's residual income if the asset is leased? (Enter your answer in dollars, not in millions.)

Answer 1

a. What is the division's residual income before considering the project

residual income

=Current income - (Average operating assets x company's cost of capital)

=2,860,000- (26,000,000 x 8%)

=2,860,000-2,080,000

=780,000

the division's residual income before considering the project =$780,000

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b.

What is the division's residual income if the asset is purchased

residual income

=(Current income +prospective income) - (Average operating assets x company's cost of capital)

=(2,860,000+867000-(3483000/6)) - ((26,000,000 +3483,000)x 8%)

=3,146,500-(2358640*8%)

=787,860

division's residual income if the asset is purchased=$787,860

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c. What is the division's residual income if the asset is leased?

residual income

=(Current income +prospective income) - (Average operating assets x company's cost of capital)

=(2,860,000+867000-(758,000)) - (26,000,000 x 8%)

=2,969,000-2,080,000

=889,000

division's residual income if the asset is Leased= $889,000