Liberty Bell Theater is a nonprofit enterprise in downtown Philadelphia. The board of directors is considering an expansion of the theater's seating capacity, which will entail significant renovations to the existing facilities. The board has been promised by the city government that in five years the city will build a new building for the theater, so the proposed expansion is only a temporary solution to the theater's strained seating capacity. The seating expansion project will cost $$120,000.$ The following table lists the incremental ticket revenue, the incremental operating expenses, the depreciation expense, and the incremental operating income over the five$-$year life of the investment expected as a result of the theater expansion. The theater's revenue and operating expenses are in cash. Thus, depreciation is the only noncash expense. As a nonprofit enterprise, the theater company is not subject to income taxes.

Required:

Compute the payback period for the proposed expansion of the theater's seating capacity.

Compute the project's accounting rate of return using the project's initial investment.

Compute the project's accounting rate of return using the project's average investment.

Explain why many managerial accountants believe that discounted$-$cash$-$flow methods of evaluating investment proposals are superior to the payback and accounting$-$rate$-$of$-$return methods.

Suppose the chairperson of the theater's board, who was formerly a managerial accountant, has calculated the seating expansion project's internal rate of return to be lower than the project's accounting rate of return. Moreover, the theater's cost of acquiring expansion capital is above the expansion project's internal rate of return but below its accounting rate of return. As a champion of the theater, and a strong proponent of the expansion, the board chairperson has decided to present only the project's accounting rate of return to the board for its approval of the project. Is this ethical on the part of the board's chairperson? Explain.

Problem $16-55$

Payback; Accounting Rate of Return, Ethics $($Section $3)$

$($Lo $16-8)$

Accounthy rate of retum $($ARR$)$ using inital investment

c$.$

Q$2)$

ARR

Intial Rere

cperneting $E$

Depre ciat:

$74$

$74000$

$20k$