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Bill Joyner is evaluating a new ticketing system for his theater. The system wil

ID: 2483810 • Letter: B

Question

Bill Joyner is evaluating a new ticketing system for his theater. The system will cost $366,200 and will save the theater $57,600 in annual cash operating costs. Bill expects the new system to last 10 years, at which time the system will have a salvage value of $25,000. If Bill purchases the new system, he will be able to sell his existing system for $14,000.

(a) Calculate the accounting rate of return for the proposed ticketing system

(b) Bill Joyner wants to earn a minimum accounting rate of return of 6% on his projects. Should he invest in the new equipment?

Explanation / Answer

Initial investment = $366200 - sales vale of the existing system = $366200 - $14000 = $352200

Salvage value = $25000

Average investment = ($352200 + $25000) / 2 = $188600

Depreciation = (366200 - 25000) / 10 =$34120

Annual cash flow from cash operating cost savings = $57600

Increase in annual net income = cash cost savings - depreciation = $57600 - $34120 = $23480

Accounting rate of return

= Average annual net income from the machine / average investment

= $23480 / $188600

= 12.45%

b)

As the accounting rate of return from the new machine is more than 6%, Bill should invest in new machine.