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Strategy, Risk and Managing Change

Net present value and discounted cash flow

  • 2 things to know
  • Component 03

Overview

Recall questions on net present value and the time value of money, discount factors and present values, calculating NPV and interpreting positive and negative results, choosing a discount rate, and the advantages and limitations of NPV.

What you need to know

Answer each one before you reveal it.

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Key term

What is net present value?

Key term

Why is a pound received in three years worth less than a pound received today?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is net present value?

    Model answer

    Net present value is the total of a project's future net cash inflows converted into today's values, less the cost of the initial investment.

  2. 2

    Why is a pound received in three years worth less than a pound received today?

    Model answer

    Money held today can be invested to earn a return, and inflation and risk both reduce what a future pound will buy and how certain it is to arrive.

  3. 3

    What is a discount factor?

    Model answer

    A discount factor is the number by which a future cash flow is multiplied to convert it into its value today at a chosen rate of interest.

  4. 4

    State how the present value of a future cash flow is calculated.

    Model answer

    Multiply the cash flow by the discount factor for the year in which it is received, at the chosen discount rate.

  5. 5

    A cash inflow of £30,000 is expected in year 2 and the discount factor for that year is 0.857. Calculate its present value.

    Model answer

    £30,000 × 0.857 = £25,710.

  6. 6

    A project costs £100,000 and returns £40,000, £50,000 and £40,000 in years 1 to 3. The discount factors are 0.909, 0.826 and 0.751. Calculate the net present value.

    Model answer

    The present values are £36,360, £41,300 and £30,040, giving £107,700 in total, so the NPV is £107,700 − £100,000 = £7,700.

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