Problem 2.1. A stock is trading at $100. Assume that the stock price follows lognormal distribution. The expected return on the stock is 5% and the volatility of the stock return is 40% per annum. Let S be the stock price after six months. (a) What is the mean and standard deviation of ln(S) (natural log of S)? (b) What is the median (50th percentile value) value of ln(S)? (c) What is the median value of S?

Which statement below best describes george waring's approach to solving the problems of water-borne illness? a. waring is going with his "gut," because he believes that instincts and emotions are the best guides for action. b. waring efficiently and thoroughly lays out the case for why the problems are too large and overwhelming to be solved: people should just move out of cities back to their farms. c. waring has gathered the testimonies of people who live in densely populated areas in order to learn how they themselves have solved their problems. d. waring exhibits the industrial age's increased respect for and reliance on science and the scientific method.

Self-interest achieve society’s economic goals because producers know which goods consumers want the most. as consumers and producers exercise their freedom to act in their own self-interest, markets will produce the desired goods at the lowest possible cost. consumers and producers both operate based on society’s economic goals. consumers know which goods can be produced at the lowest cost. there is a wide variety of desired goods and services in a market system because producers determine what to produce. consumers change their minds frequently. there is always a need to produce something new and improved. individual wants are diverse. what is produced is ultimately determined by consumers, because if the goods offered are not what consumers want, consumers will not buy them. producers, because they are driven by profits. producers, because they determine what to produce. consumers, because they participate in marketing surveys.

Why has the free enterprise system been modified to include some government intervention?