SECURITY CLASSIFICATION: OFFICIAL $($CLOSED$),$ NON$-$SENSITIVE

Metro Car Washes, Inc, is reviewing an investment proposal. The initial cost as well as the estimate of the book value of the investment at the end of each year, the net after$-$tax cash flows for each year, and the net income for each year are presented in the following schedule. The salvage value of the investment at the end of each year is equal to its book value. There would be no salvage value at the end of the investment's life.

Year

$0$

$1$

$2$

$3$

$4$

$5$

Initlal Cost and Book Value

$$105,000$

$70,000$

$42\mathrm{.}000$

$21,000$

$7\mathrm{.}000$

$0$

Annual Net After$-$Tax Cash Flows

Annual Net Income

$$50,000$

$45,000$

$40,000$

$35,000$

$30,000$

Exerclse $16-37$

Payback, Accounting Rate of Return, Net Present Value; Taxes $($Sections $1,2,$ and $3)($LO $16-1,16-6,16-8)$

Management uses a $16$ percent after$-$tax target rate of return for new investment proposals.

Required: For requirement $(1)$ only, assume that the cash flows in years $1$ through $5$ occur uniformly throughout each year.

Compute the project's payback period.

Calculate the accounting rate of return on the investment proposal. Base your calculation on the initial cost of the investment.

Compute the proposal's net present value.

$($CMA$,$ adapted$)$