Assume that an individual can either invest all of his resources in one of the two securities, A or B; or, alternatively, he can diversify his investment between the two. The distributions of the returns are as follows:Security A Security BReturn Probability Return Probability-10 1/2 -20 1/250 1/2 60 1/2Assume that the correlation between the returns from the two securities is zero, and answer the following questions:1) Calculate each security's expected return, variance and standard deviation.2) Calculate the probability distribution of the returns on a mixed portfolio comprised of equal proportions of securities A and B, i. e. calculate all possible returns on this portfolio and the probability of each one.3) Also calculate the portfolio's expected return, variance and standard deviation. 4) Calculate the expected return and the variance of a mixed portfolio comprised of 75% of security A and 25% of security B.

Quick calculate the roi dollar amount and percentage for these example investments. a. you invest $50 in a government bond that says you can redeem it a year later for $55. use the instructions in lesson 3 to calculate the roi dollar amount and percentage. (3.0 points) tip: subtract the initial investment from the total return to get the roi dollar amount. then divide the roi dollar amount by the initial investment, and multiply that number by 100 to get the percentage. b. you invest $200 in stocks and sell them one year later for $230. use the instructions in lesson 3 to calculate the roi dollar amount and percentage. (3.0 points) tip: subtract the initial investment from the total return to get the roi dollar amount. then divide the roi dollar amount by the initial investment, and multiply that number by 100 to get the percentage.

Label each of the following statements true, false, or uncertain. explain your choice carefully. a. workers benefit equally from the process of creative destruction. b. in the past two decades, the real wages of low-skill u.s. workers have declined relative to the real wages of high-skill workers. c. technological progress leads to a decrease in employment if, and only if, the increase in output is smaller than the increase in productivity. d. the apparent decrease in the natural rate of unemployment in the united states in the second-half of the 1990s can be explained by the fact that productivity growth was unexpectedly high during that period.

Suppose that a major city’s main thoroughfare, which is also an interstate highway, will be completely closed to traffic for two years, from january 2014 to december 2015, for reconstruction at a cost of $535 million. if the construction company were to keep the highway open for traffic during construction, the highway reconstruction project would take much longer and be more expensive. suppose that construction would take four years if the highway were kept open, at a total cost of $800 million. the state department of transportation had to make its decision in 2014, one year before the start of construction (so that the first payment was one year away). so the department of transportation had the following choices: (i) close the highway during construction, at an annual cost of $267.5 million per year for two years. (ii) keep the highway open during construction, at an annual cost of $200 million per year for four years. now suppose the interest rate is 80%. calculate the present value of the costs incurred under each plan.