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Probability

ZZara4y ago
A project will cost $11.5 million. The forecasted revenue arising for two possible economic conditions are shown in the table below Economic condition Probability (p) Revenue (r) $ million (px r) $ million Adverse. 0.3 8 2.4 Favourable 0.7 15 10.5 Expected value 12.9 Which TWO of the following statements are CORRECT? 1. The forecast suggests that the project will make a profit of $1.4 million 2. The forecast suggests that the project could make a loss of $9.1 million 3. If the two economic outcomes were forecast as being equally likely, the expected revenue would match the cost 4. The forecast suggests that the project could make a loss of $3.5 million I am confused should i take only revenue figures when calculating the loss then it becomes 11.5-8=3.5 or should i include probability aswell then 11.5-2.4= 9.1 Also how can revenue match the cost Is my answer 3 and 4 statements correct?
John MoffatJohn MoffatTutor4y ago#1
1 is wrong - they will either make a profit of 15 - 11.5 = 3.5, or they will make a loss of 8 - 11.5 = 3.5. 2 is wrong - see (1) 3 is correct - see (1) where they could make a loss of 3.5. 4 is correct - if the outcomes were equally likely, then the expected revenue would be (0.5 x 8) + (0.5 x 15) = 11.5, which is the same as the cost.
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