Question

"A new machine, with a 4-year life, has an initial cost of $1,200 and annual costs of $380. The equivalent annual cost of this machine is best described as the"

Answer 1

Question

A new machine, with a 4-year life, has an initial cost of $1,200 and annual costs of $380. The equivalent annual cost of this machine is best described as the"

Assuming an interest rate of 10%

Note the interest rate was added by the tutor

Answer:

Equivalent Annual cost =  $758.56

Explanation:

The equivalent annual cost is the present value of cost of the new machine divided by the annuity factor.

PV of annuity cost = A× 1- (1+r)^(-n)/r

                          A- 380, r- 10% n- 4

PV of annual cost = 380 × (1- 1.1^(-4))/0.1=1,204.55

PV of total cost = 1,204.55 + 1,200 = 2,404.55

Equivalent annual cost = PV of cost /Annuity factor

Annuity factor =(1- 1.1^(-4))/0.1 = 3.1699

Equivalent Annual cost = 2,404.55 / 3.1699 = $758.5649

Equivalent Annual cost =  $758.56