Vandelay Industries is considering the purchase of a new machine for the production of
latex. Machine A costs $3,210,000 and will last for six years. Variable costs are 37
percent of sales, and fixed costs are $350,000 per year. Machine B costs $5,455,000
and will last for nine years. Variable costs for this machine are 32 percent of sales and
fixed costs are $240,000 per year. The sales for each machine will be $12.4 million per
year. The required return is 9 percent, and the tax rate is 24 percent. Both machines will
be depreciated on a straight-line basis. The company plans to replace the machine when
it wears out on a perpetual basis.
Calculate the EAC for each machine. (A negative answer should be indicated by a
minus sign. Do not round intermediate calculations and enter your answers in dollars,
not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.)
System A
System B
4

Respuesta :

The Equivalent annual cost for the Machine A and B is $5,083,947.72 and $5,461,499.68 respectively,

What is an Equivalent annual cost?

In accounting, this refers to the annual cost of owning, operating, and maintaining an asset over its entire life.

Machine A:

Cost of Machine = $3,210,000

Useful Life = 6 years

Annual Depreciation = Cost of Machine / Useful Life

Annual Depreciation = $3,210,000 / 6

Annual Depreciation = $535,000

Annual OCF = [Sales - Variable Costs - Fixed Costs] * (1 - tax)+ tax * Depreciation

Annual OCF = [$12,400,000 - 37% * $12,400,000 - $350,000] * (1 -0.24) + 0.24 * $535,000

Annual OCF = $7,462,000 * 0.76 + 0.24 * $535,000

Annual OCF = $5,799,520

NPV = -$3,210,000 + $5,799,520 * PVIFA(9%, 6)

NPV = -$3,210,000 + $5,799,520 * 4.48592

NPV = $22,806,182.76

EAC = NPV / PVIFA(9%, 6)

EAC = $22,806,182.76 / 4.48592

EAC = $5,083,947.72

Machine B:

Cost of Machine = $5,455,000

Useful Life = 9 years

Annual Depreciation = Cost of Machine / Useful Life

Annual Depreciation = $5,455,000 / 9

Annual Depreciation = $606,111.11

Annual OCF = [Sales - Variable Costs - Fixed Costs] * (1 - tax)+ tax * Depreciation

Annual OCF = [$12,400,000 - 32% * $12,400,000 - $240,000] * (1 -0.24) + 0.24 * $606,111.11

Annual OCF = $8,192,000 * 0.76 + 0.24 * $606,111.11

Annual OCF = $6,371,386.67

NPV = -$5,455,000 + $6,371,386.67 * PVIFA(9%, 9)

NPV = -$5,455,000 + $6,371,386.67 * 5.99525

NPV = $32,743,055.93

EAC = NPV / PVIFA(9%, 9)

EAC = $32,743,055.93 / 5.99525

EAC = $5,461,499.68

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