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Pineapple Inc stock is expected to produce the following returns given the various states of the economy

Finance Jan 15, 2021

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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