Question

Suppose a firm is considering the purchase of a machine which when used will increase its total revenues by $10,000 for the year. The machine costs $8,000 and has a useful life of one year. The interest rate is 20 percent. This investment should:

Answer 1

Answer: Be undertaken because the rate of return is 5 percent greater than the interest rate

Explanation:

Given the following ;

Revenue increase = $10,000

Cost of machine = $8,000

Calculating the Rate of Return on the investment ;

FV = PV × (1 + r)^n

FV = Revenue increase = $10,000

PV = Cost of machine = $8000

n = period = 1 year

r = rate of return

$10000 = $8000 × (1 + r) ^1

1 + r = $10,000 ÷ $8,000

1 + r = 1.25

r = 1.25 - 1

r = 0.25 = 25 %

Interest rate = 20%

Rate of Return on investment = 25%

Rate of Return is 5% greater than interest rate