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Evaluating NPV and DCF: RAD Corp's R&D and Kageyama Ltd's New Factory, Assignments of Economics

The Net Present Value (NPV) method for evaluating investments and applying the NPV rule. It provides examples of calculating NPV for RAD Corporation's R&D program and Kageyama Ltd's new factory, considering their respective opportunity costs of capital.

What you will learn

  • How is the NPV rule applied to choose between alternative investments?
  • What is the Net Present Value (NPV) method and how is it used to evaluate investments?

Typology: Assignments

2019/2020

Uploaded on 04/19/2020

lukeod
lukeod 🇮🇪

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Net Present Value (NPV)
Describes a way to characterise the value of an investment and a
method for choosing among alternative investments.
In calculating the NPV of an investment we use an estimate of the
opportunity cost of capital as the discount rate
A company undertaking a positive NPV investment increases
shareholders wealth
Discounted Cash Flow Applications
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  • Net Present Value (NPV)
  • Describes a way to characterise the value of an investment and a method for choosing among alternative investments.
  • In calculating the NPV of an investment we use an estimate of the opportunity cost of capital as the discount rate
  • A company undertaking a positive NPV investment increases shareholders wealth

Discounted Cash Flow Applications

  • The steps in computing NPV and applying the NPV rule are as follows
  • Identify all cash flows associated with the investment – all inflows and outflows
  • Determine the appropriate discount rate or opportunity cost r for the investment project.
  • Sum all the present values. The sum of the present values of all cash flows
  • Apply the NPV rule: If the investment NPV is positive and investor should undertake it; if the NPV is negative, the investor should not undertake it. If an investor has two candidates but only can invest in one the investor should choose the candidate with the higher positive NPV.
  • As an analyst covering the RAD Corporation, you are evaluating its research and development (R&D) program for the current year. Management has announced that it intends to invest €1 million in R&D. Incremental net cash flows are forecasted to be €150,000 per year in perpetuity. RAD Corporation’s opportunity cost of capital is 10%.
  • State whether RAD’s R&D program will benefit shareholders, as judged by the NPV rule.
  • Evaluate whether your answer to part 1 changes if RAD Corporations’ opportunity cost of capital is 15% rather than 10%.

Example Evaluating a Research and

Development Program Using the NPV

rule

  • Solutions
  • The constant net cash flows of €150,000, which we can denote as from perpetuity. The present value of the perpetuity is so we calculate the projects NPV as
  • With an opportunity cost of capital of 15% you compute the NPV as you did above, this time you use 15% discount rate.
  • With a higher opportunity cost of capital, the present value of inflows is smaller and the program’s NPV is smaller: At 15% the NPV exactly equals €0. At NPV =0 the program generates enough cash flow to compensate shareholders for the opportunity cost of making the investment. When a company undertakes a zero-NPV project, the company becomes larger but shareholders wealth does not increase
  • Determine whether the project will benefit Kageyama’s shareholders using the NPV rule.
  • Because the projects NPV are positive ¥89.55 million, it should benefit Kageyama’s shareholders.