Question:
Jackson Corporation has expected return of 12% during recession, 20% during normal, and 40% during boom state of economy. Probability of recession, normal and boom states of economy is 0.25, 0.50, and 0.25 respectively. Find the expected return for Jackson Corporation. Round to the nearset hundredth percent. Answer in the percent format. Do not include % sign in your answer (i.e. If your answer is 4.33%, type 4.33 without a % sign at the end.)
Answer:
23.00
Step-by-step explanation:
Given:
For Jackson Corporation:
Expected return during recession = 12%
Expected return during normal = 20%
Expected return during boom = 40%
For Economy:
Probability of recession = 0.25
Probability of normal = 0.50
Probability of boom = 0.25
Required:
Find the expected return for Jackson Corporation.
To find expected return, use the expression below:
Expected return = (Probability of Recession * Returns at Recession) + (Probability of Normal * Returns at Normal) + (Probability of Boom * Returns at Boom)
Using the expression above, expected return for Jackson corporation will be calculated as:
Expected return = (25×12%)+(0.50×20%)+(0.25×40%)
= 3 + 10 + 10
= 23%
Expected return for Jackson corporation is 23.00