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Strategy, Risk and Managing Change

The payback period

  • 2 things to know
  • Component 03

Overview

Recall questions on the payback period and its formula, calculating payback with constant and uneven cash inflows, why cash-short and fast-changing businesses favour it, and its main weaknesses as an appraisal technique.

What you need to know

Answer each one before you reveal it.

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Key term

State the formula for payback when annual net cash inflows are constant.

Numbers

A machine costs £120,000 and generates net cash inflows of £30,000 a year. Calculate the payback period.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the payback period.

    Model answer

    The payback period is the length of time a project takes to generate enough net cash inflow to cover the cost of the initial investment.

  2. 2

    State the formula for payback when annual net cash inflows are constant.

    Model answer

    The payback period equals the initial investment divided by the annual net cash inflow.

  3. 3

    A machine costs £120,000 and generates net cash inflows of £30,000 a year. Calculate the payback period.

    Model answer

    The payback period is £120,000 ÷ £30,000 = 4 years.

  4. 4

    A project costs £45,000 and returns £18,000 a year. Calculate the payback period in years and months.

    Model answer

    £45,000 ÷ £18,000 = 2.5 years, which is 2 years and 6 months.

  5. 5

    A van costs £60,000 and its net cash inflows are £20,000 in year 1, £25,000 in year 2 and £30,000 in year 3. Calculate the payback period.

    Model answer

    After two years £45,000 has been recovered, leaving £15,000; £15,000 ÷ £30,000 = 0.5 of year 3, so payback is 2 years and 6 months.

  6. 6

    An investment of £90,000 returns £30,000 in year 1, £30,000 in year 2 and £36,000 in year 3. Calculate the payback period.

    Model answer

    £60,000 is recovered by the end of year 2, leaving £30,000; £30,000 ÷ £36,000 = 0.83 of year 3, so payback is 2 years and 10 months.

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