For each of the bonds and reinvestment rates listed below calculate the amount of money accumulated at the end from a $1000 initial investment: (a) Invest $1000 in a 5-year zero coupon bond with a yield to maturity of 9 percent. (b) Buy a 5-year 9% coupon annual pay bond at par ($1000) and reinvest the annual coupons at 9% (annual compounding). (c) Same as (b) but reinvest the annual coupons at 12%. (d) Same as (b) but reinvest the annual coupons at 6%. (e) For (a) through (d) calculate the annual holding period return. What can you conclude about the relationship between yield to maturity and holding period returns?

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

For the year ended december 31, a company has revenues of $323,000 and expenses of $199,000. the company paid $52,400 in dividends during the year. the balance in the retained earnings account before closing is $87,000. which of the following entries would be used to close the dividends account?

You want to have $80,000 in your savings account 11 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. if the account pays 6.30 percent interest, what amount must you deposit each year? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)