Consider the following information:

State of Economy Probability of State of Economy Rate of Return if State Occurs

Stock A Stock B Stock C

Boom $0\mathrm{.}250\mathrm{.}180\mathrm{.}370\mathrm{.}27$

Good $0\mathrm{.}150\mathrm{.}130\mathrm{.}140\mathrm{.}15$

Poor $0\mathrm{.}400\mathrm{.}010\mathrm{.}110\mathrm{.}04$

Bust $0\mathrm{.}200\mathrm{.}190\mathrm{.}160\mathrm{.}13$

a$.$ Your portfolio is invested $40$ percent each in Stocks A and C and $20$ percent in Stock B$.$ What is the expected return of the portfolio?