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Consider how Cherry Valley?, a popular ski? resort, could use capital budgeting

ID: 2433044 • Letter: C

Question

Consider how Cherry Valley?, a popular ski? resort, could use capital budgeting to decide whether the $8.5 million Spring Park Lodge expansion would be a good investment.

Assume that Cherry Valley?'s managers developed the following estimates concerning a planned expansion to its Spring Park Lodge? (all numbers? assumed):

Number of additional skiers per day. . . . . . . . . . . . . . .

122

Average number of days per year that weather

conditions allow skiing at Cherry Valley. . . . . . .

159

Useful life of expansion (in years). . . . . . . . . . . . . . . .

8

Average cash spent by each skier per day. . . . . . . . .

$239

Average variable cost of serving each skier per day. . .

$138

Cost of expansion. . . . . . . . . . . . . . . . . . . . . . . . . . .

$8,500,000

Discount rate. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

10%

Assume that Cherry ValleyCherry Valley uses the? straight-line depreciation method and expects the lodge expansion to have a residual value of $700,000 at the end of its eighteight?-year life.

1.

Compute the average annual net cash inflow from the expansion.

2.

Compute the average annual operating income from the expansion.

3.

Compute the payback period.

4.

Compute the ARR.

Requirement 1. Compute the average annual net cash inflow from the expansion. First enter the? formula, then compute the average annual net cash inflow from the expansion. ?(Round your answer to the nearest? dollar.) Average annual Number of ski days per year x Average net cash inflow per day = net cash inflow

Number of additional skiers per day. . . . . . . . . . . . . . .

122

Average number of days per year that weather

conditions allow skiing at Cherry Valley. . . . . . .

159

Useful life of expansion (in years). . . . . . . . . . . . . . . .

8

Average cash spent by each skier per day. . . . . . . . .

$239

Average variable cost of serving each skier per day. . .

$138

Cost of expansion. . . . . . . . . . . . . . . . . . . . . . . . . . .

$8,500,000

Discount rate. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

10%

Explanation / Answer

Answer:

1)

Compute the average annual net cash inflow from the expansion

Average cash received from each skier per day      

239

Average variable cost of serving each skier per day

138

Average net cash inflow per skier per day

101

Number of additional skiers per day

x 122

Average net cash inflow per day

12322

Number of ski days per year

x 142

Average annual net cash inflow per year

1959198

2)

Compute the average annual operating income from the expansion

= Average annual net cash inflow ? depreciation

= 1959198? $(8,500,000-700,000)/8

= 1959198-975000

=984,198

3)

Compute the payback period for the expansion project.

Payback period = Amount invested / Expected annual net cash inflow

= $8,500,000 / $ 984198

= 4.34 years (Rounded to one decimal place)

4)

Accounting rate of return

=Average annual operating income from investment /Average amount invested

=984,198 / (8,500,000+700,000)/2

=984,198 / 4,600,000

=21.40%

Average cash received from each skier per day      

239

Average variable cost of serving each skier per day

138

Average net cash inflow per skier per day

101

Number of additional skiers per day

x 122

Average net cash inflow per day

12322

Number of ski days per year

x 142

Average annual net cash inflow per year

1959198

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