Astock price is currently $30. during each two-month period for the next four months it is expected to increase by 8% or decrease by 10%. no dividend payment is expected during these two periods. the risk-free interest rate is 5% per annum. use a two-step tree to calculate the value of a european-style derivative that pays off [max(30-st,0)]2 , where st is the stock price in four months.

Consider the following scenarios. use what you have learned to decide if the goods and services being provided are individual, public, or merit goods. for each case, state what kind of good has been described and explain your answer using the definitions of individual, public, and merit goods. (6 points each) 1. from your window, you can see a city block that's on fire. you watch city firefighters rescue people and battle the flames to save the buildings. 2. while visiting relatives, you learn that your cousins attend a nearby elementary school that is supported financially by local property tax revenue. 3. you see a squadron of military jets flying overhead. 4. you find out that your aunt works for a defense manufacturing company that has several defense contracts with the government. she tells you that she works for a team that is producing a communications satellite. 5. your class visits a local jail run by a private, profit-making company that detains county criminals and is paid with tax revenue.

You are head of the schwartz family endowment for the arts. you have decided to fund an arts school in the san francisco bay area in perpetuity. every 5 years, you will give the school $ 1 comma 000 comma 000. the first payment will occur 5 years from today. if the interest rate is 5.9 % per year, what is the present value of your gift?

Galwaysc electronics makes two products. model a requires component a and component c. model b requires component b and component c. new versions of both models are released each year with updated versions of all components. all components are sourced overseas, and abc contracts annually for a quantity of each component before seeing that year’s demand. components are only assembled into finished products once demand for each model is known. for the coming year, alwaysc’s purchasing manner has proposed ordering 500,000 units of component a, 630,000 of component b, and 1,000,000 units of component c. her boss has asked why she has recommended purchasing so much of components a and b when alwaysc will not have enough of component c to fully use all of the inventory of a and b. what factors might the purchasing manager cite to explain her recommended order? explain your reasoning.