Asked by Avelina Milam on Jun 19, 2024

verifed

Verified

A $130,000 investment in new equipment this year will increase your firm's profits by $50,000 in each of the next 3 years. What is the net present value of this investment if your firm's opportunity cost of capital is 10 percent?

A) -5,657
B) 5,657
C) 124,343
D) 128,850

Opportunity Cost of Capital

The return foregone by investing in a project instead of in comparable financial assets with similar risk.

Net Present Value

Net Present Value (NPV) is a financial metric that calculates the present value of all future cash flows (positive and negative) expected from an investment, adjusted for time and interest.

Profits

The financial gain achieved when the revenues from business activities exceed the expenses, costs, and taxes involved in sustaining the activity.

  • Build competency in evaluating the present value of anticipated income streams and the Net Present Value (NPV) of financial investments.
  • Assess the financial practicality of projects utilizing Net Present Value and alternative instruments for investment choice-making.
verifed

Verified Answer

NC
Nelcy CaballeroJun 20, 2024
Final Answer :
A
Explanation :
The net present value (NPV) is calculated by discounting the future cash flows back to their present value and then subtracting the initial investment. The formula for NPV is: NPV = (Cash Flow / (1 + r)^t) - Initial Investment, where r is the discount rate (opportunity cost of capital) and t is the time period. For this investment, the cash flows are $50,000 for each of the next 3 years, and the discount rate is 10% (0.10). Year 1: $50,000 / (1 + 0.10)^1 = $45,454.55Year 2: $50,000 / (1 + 0.10)^2 = $41,322.31Year 3: $50,000 / (1 + 0.10)^3 = $37,565.74Total NPV = $45,454.55 + $41,322.31 + $37,565.74 - $130,000 = $124,342.60 - $130,000 = -$5,657.40Rounded to the nearest whole number, the NPV is approximately -$5,657, which matches choice A.