Question

Consider an economy with two types of firms, S and I. S firms always move together, but I firms

move independently of each other. For both types of firms there is a 20% probability that they
will have a 20% return and a 80% probability that they will have a -30% return.
What is the expected return for an individual firm?
A) -12%
B) -20%
C) 10%
D) 20%

Answer 1

option (B) -20%

Step-by-step explanation:

Data provided in the question:

Return Probability

20% 20%

-30% 80%

Now,

Expected return for an individual firm = ∑ (Return × Probability)

or

Expected return for an individual firm = ( 0.20 × 0.20 ) + ( -0.30 × 0.80 )

or

Expected return for an individual firm = 0.04 + ( - 0.24)

or

Expected return for an individual firm = - 0.2

or

Expected return for an individual firm = -20%

Hence,

The correct answer is option (B) -20%