Problem #$1(8$ marks$)$What is the expected return for the following portfolio?Asset Investment ReturnA $$20015\%$B $$30010\%$C $$50025\%$Problem #$2(6$ Marks$)$You purchased $200$ shares of common stock on January $1,2024$ for $$42\mathrm{.}27$ per share. The stockpays an annual dividend of $$5$ per share. On December $31,2024$ the market price is $$43\mathrm{.}88$ pershare. What is your percentage return on investment for the year?Problem #$3(20$ marks$)$Use the information in the table below and answer the following questions.State of theProbabilityReturn onReturn onEconomyOf StateABGrowth $0\mathrm{.}2515\%8\%$Normal $0\mathrm{.}505\%20\%$Recession $0\mathrm{.}25-10\%25\%$a$)$ b$)$ c$)$ d$)$ e$)$ What is the expected return on security A$?(2$ marks$)$What is the standard deviation of security A$?(5$ marks$)$What is the expected return on a $$10,000$ portfolio that has $$6,000$ invested in A and theremainder invested in B$?$ The expected return of stock B $=18\mathrm{.}25\%(4$ marks$)$What is the correlation between the returns of stock A and stock B$?$ Assume the standarddeviation of security B is $6\mathrm{.}26\%.$ Assume the COV of the returns between A and B is$-50\mathrm{.}9375(-0\mathrm{.}00509375$ is using decimals$)(3$ marks$)$What is the total risk $($standard deviation$)$ of the portfolio in part $($c$)?(6$ marks