Your boss is considering a 4-year investment project. If the project is accepted, it would require immediate spending of $580 to buy all necessary production equipment. This equipment would be sold at the end of the project and bring your company an estimated $169 in sale proceeds after taxes (or after-tax salvage value). Your boss's consulting team estimated that the annual after-tax profits (or operating cash flows) would equal $167. The team also recommends immediately setting aside $55 in cash to cover any unforeseen expenses. The required annual rate of return is 8.2%. Calculate the Net Present Value of this proposed investment project.

The total value of your portfolio is $10,000: $3,000 of it is invested in stock a and the remainder invested in stock b. stock a has a beta of 0.8; stock b has a beta of 1.2. the risk premium on the market portfolio is 8%; the risk-free rate is 2%. additional information on stocks a and b is provided below. return in each state state probability of state stock a stock b excellent 15% 15% 5% normal 50% 9% 7% poor 35% -15% 10% what are each stock’s expected return and the standard deviation? what are the expected return and the standard deviation of your portfolio? what is the beta of your portfolio? using capm, what is the expected return on the portfolio? given your answer above, would you buy, sell, or hold the portfolio?

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

Afirm’s production function is represented by q(m,r) = 4m 3/4r1/3, where q denotes output, m raw materials, and r robots. the firm is currently using 6 units of raw materials and 12 robots. according to the mrts, in order to maintain its output level the firm would need to give up 2 robots if it adds 9 units of raw materials. (a) true (b) false