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CIMA Paper P2 Advanced Management Accounting Ian Kusano and Nathi Thela 12 Chapter Uncertainty and risk in decision making 1 Uncertainty and Risk Investment appraisal faces the following problems: all decisions are based on forecasts


  1. CIMA Paper P2 Advanced Management Accounting Ian Kusano and Nathi Thela

  2. 12 Chapter Uncertainty and risk in decision making 1

  3. Uncertainty and Risk Investment appraisal faces the following problems: • all decisions are based on forecasts • all forecasts are subject to uncertainty • this uncertainty needs to be reflected in the financial evaluation. The decision maker must distinguish between: risk – quantifiable – possible outcomes have associated probabilities, thus allowing the use of mathematical techniques uncertainty – unquantifiable – outcomes cannot be mathematically modelled. 2

  4. Uncertainty and risk Several Possible Outcomes Risk Uncertainty • Past experience • No experience – Probabilities – No probabilities 3

  5. Expected Values Probability of the outcome occurring Sum of Future outcome EV = ∑px Long run weighted average 4

  6. Expected Value Example 1 An organisation is considering launching a new product. It will do so if the expected value of the total revenue is in excess of $1,000. It is decided to set the selling price at $10. After some investigation a number of probabilities for different levels of sales revenue are predicted; these are shown in the following table: Units sold Revenue ($) Probability Pay-off ($) 80 800 0.15 120 100 1,000 0.50 500 120 1,200 0.35 420 1.0 EV = 1,040 In preparing forecasts and making decisions management may proceed on the assumption that it can expect sales revenue of $1,040 if it sets a selling price of $10 per unit. The actual outcome of adopting this selling price may be sales revenue that is higher or lower than $1,040. And $1,040 is not even the most likely outcome; the most likely outcome is $1,000, since this has the highest probability. 5

  7. Expected Value Example 2 A company has identified four possible outcomes from a new marketing strategy as follows: Outcome Profits ($) Probabilities A 100,000 0.10 B 70,000 0.40 C 50,000 0.30 D -20,000 0.20 1.00 Calculate the expected outcome of this strategy. 6

  8. Expected Value – November 2013 7

  9. Expected Value – November 2013 8

  10. Decision Making Criteria and Risk Attitudes Maximin Expected Value Maximax • Worst • Weighted • Best possible average possible outcome profit outcome • Choose • Choose the • Choose the best of highest the best of the worst expected value the best Risk Seeker Risk Averse Risk Neutral 9

  11. Perfect and Imperfect Information Perfect Information Imperfect Information • Usually correct • Always 100% accurate Both have a value! Value of information = expected profit WITH information – expected profit WITHOUT information Illustration 7. 10

  12. Perfect Information September 2013 Exam 11

  13. Decision Trees and Multi-Stage Decision Problems 1. Draw tree from left to right, showing decision and outcomes: - Label tree - Show cash inflows/outflows - Probabilities 2. Evaluate tree from right to left: Outcome point – calculate EV - Decision point – choose best option - 3. Recommend a course of action 12

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