您的AI财务准则专家
如何计算和理解净现值(NPV)以进行投资决策
Esfandairi Enterprises is considering a new 3-year expansion project that requires an initial fixed asset investment of $2.31 million. The fixed asset will be depreciated straight-line to zero over its 3-year tax life, after which time it will be worthless. The project is estimated to generate $1725000 in annual sales, with costs of $63500”. The tax rate is 23 percent and the required return is 12percent. What is the project’s NPV? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.)

The net present value (NPV) calculation for a project takes into account the expected cash flows from the project and discounts them back to their present value using the required return rate. Here's the high-level approach to calculate the NPV:

  1. Calculate the annual after-tax cash flow.
  2. Determine the present value of these cash flows.

Let's start with the annual after-tax cash flow calculation: - Year 1: Revenue - Costs = $1,725,000 (annual sales) - $635,000 (annual costs) = $1,090,000 - Tax savings from depreciation: $2,310,000 (total investment) / 3 years = $770,000/year - After-tax cash flow: $1,090,000 (before-tax cash flow) + $770,000 (tax savings) = $1,860,000

Now, we discount this annual after-tax cash flow by the required return of 12% to find the present value for each year and sum them up for the NPV:

NPV = Year 1 cash flow / (1 + required return)^1 + Year 2 cash flow / (1 + required return)^2 + ...

Given the information provided, we can calculate the NPV as follows:

NPV = ($1,860,000 / (1 + 0.12)^1 + ($1,860,000 / (1 + 0.12)^2 + ($1,860,000 / (1 + 0.12)^3

After performing the calculation, the NPV would be approximately $4,410,000. However, since the question asks for the answer rounded to two decimal places and in dollars, not millions of dollars, the NPV would be reported as $4,410,000.