Suppose that the yield curve is flat at 5% per annum with continuous compounding. A five-year swap with a notional principal of $100 million in which 6% per annum with semi-annual compounding is received and six-month LIBOR is paid will last another 15 months. Payments are exchanged every six months. The six-month LIBOR rate at the last reset date (three months ago) was 7% per annum with semi-annual compounding. Answer in millions of dollars to two decimal places. Requried:
a. What is the value of the fixed-rate bond underlying the swap?
b. What is the value of the floating-rate bond underlying the swap?
c. What is the value of the payment that will be exchanged in 3 months?
d. What is the value of the payment that will be exchanged in 9 months?
e. What is the value of the payment that will be exchanged in 15 months?
f. What is the value of the swap?

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

Why might a business based on a fad be a good idea? question 2 options: fads bring in the most customers. some fads are longer lasting than expected. fads have made some business owners incredibly wealthy. fads can take a business in a new direction.

Bakery has bought 250 pounds of muffin dough. they want to make waffles or muffins in half-dozen packs out of it. half a dozen of muffins requires 1 lb of dough and a pack of waffles uses 3/4 lb of dough. it take bakers 6 minutes to make a half-dozen of waffles and 3 minutes to make a half-dozen of muffins. their profit will be $1.50 on each pack of waffles and $2.00 on each pack of muffins. how many of each should they make to maximize profit, if they have just 20 hours to do everything?