Decision Trees

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5 Terms

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Decision Trees

  • A form of diagrammatic analysis used to help businesses with making decisions where there are a number of different options from which to select

  • Decision trees are particularly useful in situations where chance (or probability) plays an important role in likely outcomes

  • Decision trees build probability of success and failure into the decision-making process, which helps to provide an effective and clear structure for presenting options through the 'expected values', which are the financial returns that can be gained for each option, taking into account both success and failure of each course of action

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Components of a decision tree

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Drawing Decision Tree: 1st step

  • The drawing of a decision tree starts with a decisions node (square). Decision nodes represent points where a business has to make a choice between alternatives.

  • From this decision node we draw out lines towards the right for each possible option or choice, and write the option along the line

  • At the end of each line, we consider the likely outcome of a decision. If the result of taking that decision is uncertain, we draw a circle - a chance node

<ul><li><p>The drawing of a decision tree starts with a decisions node (square). Decision nodes represent points where a business has to make a choice between alternatives.</p></li><li><p>From this decision node we draw out lines towards the right for each possible option or choice, and write the option along the line</p></li><li><p>At the end of each line, we consider the likely outcome of a decision. If the result of taking that decision is uncertain, we draw a circle - a chance node</p><p></p></li></ul><p></p>
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Drawing Decision Tree: Step 2

  • From each Chance Node draw 2 lines and label them with the 2 possible outcomes (success/failure) and probabilities for the 3 options

  • For each option multiply the probability with the estimated revenue E.g. 0.6 x £600 = £360K

<ul><li><p>From each Chance Node draw 2 lines and label them with the 2 possible outcomes (success/failure) and probabilities for the 3 options</p></li><li><p>For each option multiply the probability with the estimated revenue <mark data-color="yellow" style="background-color: yellow; color: inherit;">E.g. 0.6 x £600 = £360K</mark></p></li></ul><p></p>
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Drawing Decision Tree: Step 3

Calculate the expected value by adding the values from both outcomes and take away this value from the cost to get the expected price E.g. EV= £360 + £48 = £408K

EP= £408K - £120K = £288K

  • Then choose the highest value E.g. Sunday Newspaper

<p>Calculate the expected value by adding the values from both outcomes and take away this value from the cost to get the expected price <mark data-color="yellow" style="background-color: yellow; color: inherit;">E.g. EV= £360 + £48 = £408K </mark></p><p><mark data-color="yellow" style="background-color: yellow; color: inherit;">EP= £408K - £120K = £288K</mark></p><ul><li><p>Then choose the highest value <mark data-color="yellow" style="background-color: yellow; color: inherit;">E.g. Sunday Newspaper</mark></p></li></ul><p></p>