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You recently purchased a stock that is expected to earn 22 percent in a booming economy, 11 percent in a normal economy, and lose 4 percent in a recessionary economy. There is a 24 percent probability of a boom, a 67 percent chance of a normal economy, and a 9 percent chance of a recession. What is your expected rate of return on this stock?

a. 6.14 percent
b. 11.00 percent
c. 12.29 percent
d. 9.67 percent
e. 3.45 percent

Respuesta :

Answer:

Return on stock will be 12.65%

So option (c) will be the correct option

Explanation:

We have given expected return in booming economy = 22 %

Expected return in normal economy = 11 %

Expected return in recessionary economy = 4%

Probability of boom = 24% = 0.24

probability of normal economy = 67%=0.67

Probability of recession = 9 % =0.09

So  Expected return on stock = (Return in boom economy x Probability of boom economy) + (Return in normal economy x Probability of normal economy) +(Return in recessionary economy x Probability of recessionary economy)

Expected return on stock = (0.22 x 0.24) + (0.11 x 0.67) + (-0.04 x 0.09)

= 0.0528 + 0.0737 = 0.1265 = 12.6%

So option (c) will be the correct option

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