10. A 1-month European put option on a non-dividend-paying stock is currently selling for $2.50. The stock price is $47, the strike price is $50, and the risk-free interest rate is 6% per annum. What opportunities are there for an arbitrageur?

Explain whether each of the following events increases, decreases, or has no effect on the unemployment rate and the labor-force participation rate.a. after a long search, jon finds a job.b. tyrion, a full-time college student, graduates and is immediately employed.c. after an unsuccessful job search, arya gives up looking and retires.d. daenerys quits her job to become a stay-at-home mom.e. sansa has a birthday, becomes an adult, but has no interest in working.f. jaime has a birthday, becomes an adult, and starts looking for a job.g. cersei dies while enjoying retirement.h. jorah dies working long hours at the office.

Suppose you hold a portfolio consisting of a $10,000 investment in each of 8 different common stocks. the portfolio's beta is 1.25. now suppose you decided to sell one of your stocks that has a beta of 1.00 and to use the proceeds to buy a replacement stock with a beta of 1.55. what would the portfolio's new beta be? do not round your intermediate calculations.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends > a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?