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Pineapple Inc stock is expected to produce the following returns given the various states of the economy
Pineapple Inc stock is expected to produce the following returns given the various states of the economy. What is the expected return on this stock? State of Economy Probability of State of Economy Rate of Return Recession 0.3 -0.28 Normal 0.6 0.17 Boom 0.1 0.33 swer:
Expert Solution
The expected return on this stock = 0.05
The detailed calculations are shown below:
Given data from the problem are
| Economy | Probability | Rate of return |
| Recession | 0.3 | -0.28 |
| Normal | 0.6 | 0.17 |
| Boom | 0.1 | 0.33 |
The formula for expected return is as below:
Expected return = { (Return under recession state * Probability under recession state) + (Return under Normal state * Probability under Normal state) + (Return under Boom state * Probability under Boom state) }
Plugging in the given data from the problem, we get
= { ( -0.28 * 0.3 ) + ( 0.17* 0.6 ) + (0.33 * 0.1) }
= { -0.08 + 0.10 + 0.03 }
= 0.05
Thus the expected return on this stock = 0.05
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