One share of stock Z is selling for $10. The stock has the following possible payoffs after one year:Slump Normal Boom$8 $12 $16Assume equal probability for each state of the economy.1) Calculate the expected return and the variance for return.2) Suppose the risk free rate is 4%, and that stock Z is on the CML. Calculate the sharpe ratio for Z3) Suppose stock Y has an expected return of 25% and variance of 0.16. Returns for Y and Z have a correlation coefficient of 0.1. Calculate the return and variance for a portfolio with 30% in Y and 70% in Z.

Onsider the following subscription behavior information from genie, a web site that provides tools for constructing a family tree (ancestor search). subscriptions cost $9.99 per month, but you are charged for the entire year at the time of purchase. there is a one-year minimum term when you sign up for the service. once purchased, subscriptions are set to renew automatically unless the subscriber cancels them. when a membership renews, it renews for a one-year term and again you are charged for the entire year. there are no variable costs associated with providing this service to an individual customer, but genie does engage in customer relationship activities that they believe will increase customer retention. these customer relationship activities cost genie about $10 per year per customer. based on a sample of 1000 customers that joined genie five years ago, near the time when the company was founded, they were able to determine how many of those customers remained subscribers in the second year, third year etc. based on this information, genie calculated the average annual retention rate to be 20%. genie uses an annual discount rate of 8%. a. last year, genie spent $10,000 placing advertisements on google. genie management believes that these advertisements were responsible for about 300 new subscribers. would you recommend to genie management that they purchase more google ads? b. suppose a newly-introduced loyalty program increases the number of customers that remained to 30%. does this new data change your answer to 9.a? c. do you have any hesitations or concerns about making recommendations to management based on your above estimate of customer lifetime value?

Which of the following will not cause the consumption schedule to shift? a) a sharp increase in the amount of wealth held by households b) a change in consumer incomes c) the expectation of a recession d) a growing expectation that consumer durables will be in short supply

How does it the economy that banks offer incentives (like interest payments, deposit insurance, etc.) to get customers to deposit money with them?