Question

Major Corp. is considering the purchase of a new piece of equipment. The cost savings from the equipment would result in an annual increase in cash flow of $130,000. The equipment will have an initial cost of $665,000 and have an 8-year life. The equipment has no salvage value. The hurdle rate is 8%. Ignore income taxes. (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.)

a. What is the net present value?
b. What would the net present value be with a 12% hurdle rate? (Negative amounts should be indicated by a minus sign.)
c. Based on the NPV calculations, in what range would the equipment’s internal rate of return fall? (Round your answer to 2 decimal places.)

Answer 1

a. $ 82, 063

b. - $ 19,206

c. 11.24%

Step-by-step explanation:

Net Present Value is calculated by taking the Present Day (Discounted) value of all future Net Cash flows based on the company`s Cost of Capital and subtracting the Initial Cost of the Investment.

Using a Financial Calculation

a.

Cash flow Amount

Cf0 = ($665,000)

Cf1 = $130,000

Cf2 = $130,000

Cf3 = $130,000

Cf4 = $130,000

Cf5 = $130,000

Cf6 = $130,000

Cf7 = $130,000

Cf8 = $130,000

i = 8%

NPV = $ 82, 063

b.

Cash flow Amount

Cf0 = ($665,000)

Cf1 = $130,000

Cf2 = $130,000

Cf3 = $130,000

Cf4 = $130,000

Cf5 = $130,000

Cf6 = $130,000

Cf7 = $130,000

Cf8 = $130,000

i = 12%

NPV = - $ 19,206

c.

Internal Rate of Return = P + ((N-P)×p/(p+n))

= 8% + ((12%-8%)×$ 82, 063/($ 82, 063+ $ 19,206))

= 11.24%