Question

If the economy booms, RTF, Inc., stock is expected to return 13 percent. If the economy goes into a recessionary period, then RTF is expected to only return 5 percent. The probability of a boom is 83 percent while the probability of a recession is 17 percent. What is the variance of the returns on RTF, Inc., stock

Answer 1

Answer: 0.000903

Step-by-step explanation:

Expected return is the sum of the probability that the other returns will happen.

= (13% * 83%) + (5% * 17%)

= 10.79 % + 0.85%

= 11.64%

Variance = ((Return during boom - Expected return)²*probability of boom) + ((Return during recession - Expected Return)²*probability of recession)

Variance = ((13% -11.64%)² * 83%) + (5% - 11.64%)² * 17%)

= 0.0001535168 + 0.0007495232

= 0.000903