Question

Management team of Wolverine Corp. is considering the purchase of a new piece of equipment. They believe that new equipment is more efficient and would result in cost savings. Management estimates that the cost savings from the new equipment would result in an annual increase in net income of $200,000. The new equipment will have an initial cost of $1,200,000 and have an 8 year life. The salvage value of the new equipment is estimated to be $200,000. The hurdle rate is 10%. Ignore income taxes.
a. What is the accounting rate of return?
b. What is the payback period?
c. What is the net present value?
d. What would the net present value be with a 15% hurdle rate?

Answer 1

Answer:

Wolverine Corp.

a. The accounting rate of return = 50%

b. The payback period = 6 years ($200,000 * 6)

c. The net present value = ($39,600)

d. The net present value at 15% = ($237,200)

Explanation:

a) Data and Calculations:

Initial investment cost in new equipment = $1,200,000

Annual incremental net income from cost savings = $200,000

Salvage value of the new equipment = $200,000

Estimated useful life of equipment = 8 years

Hurdle rate = 10%

a. Accounting rate of return = (($200,000 * 8 + $200,000) - $1,200,000)/$1,200,000

= ($1,800,000 - $1,200,00)/$1,200,000

= $600,000/$1,200,000 * 100 = 50%

NPV at 10% hurdle rate:

Initial investment = $1,200,000 * 1 = $1,200,000

Annual incremental savings:

= $200,000 * 5.335 =                        $1,067,000

Salvage value = $200,000 * 0.467         93,400

Total benefits                                     $1,160,400

NPV =                                                    ($39,600)

NPV at 15% hurdle rate:

Initial investment = $1,200,000 * 1 = $1,200,000

Annual incremental savings:

= $200,000 * 4.487 =                           $897,400

Salvage value = $200,000 * 0.327         65,400

Total benefits                                      $962,800

NPV =                                                  ($237,200)