a 2-month european put option on a non-dividend paying stock is currently selling for $2. the stock price is $47, the strike price is $50, and the risk-free rate is 6% per year (with continuous compounding) for all maturities. does this create any arbitrage opportunity? why? design a strategy to take advantage of this opportunity and specify the profit you make.

Sam robinson borrowed $21,000 from a friend and promised to pay the loan in 10 equal annual installments beginning one year from the date of the loan. sam’s friend would like to be reimbursed for the time value of money at a 9% annual rate. what is the annual payment sam must make to pay back his friend?

Match each feature with the savings account type

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly