You graduated from usf and got a job at metlife pension department. your supervisor needs your with some of its liabilities and risk control. the pension fund has a series of liabilities to be paid to the pension plan beneficiaries:
in 6 months: $2,000,000,

in 1 year: $2,200,000,
in 1.5 years: $2,500,000,
in 2 years: $3,200,000,
in 2.5 years: $3,700,000,
in 3 years: $4,300,000,
in 3.5 years: $4,700,000,
in 4 years: $5,100,000.

your company wishes to construct a portfolio of assets to cover this series of liabilities, such that it is immunized against interest rate risk right now. the company is considering investing in four different bonds: (1) a 1-year treasury bill with a face value of $1,000 and no coupon, (2) a 2-year treasury note with a face value of $1,000 and an annual coupon rate of 1.5%, (3) a 3-year treasury note with a face value of $1,000 and an annual coupon rate of 1.90%, and (4) a 5-year treasury note with a face value of $1,000 and an annual coupon rate of 2.30%. all treasury notes make 2 (semi-annual) coupon payments per year. the current yield on all bonds is 1.45%. your supervisor wants you to find out how many of each of these four treasury bonds the fund should buy to fully fund the liability and be immunized against interest rate risk right now?

What is the difference between a public and a private corporation?

Arecession is defined as a period in which

Imagine us is a startup that offers high definition 3d prenatal ultrasounds for high-end customers. the service process includes four activities that are conducted in the sequence described below. (the time required for each activity is shown in parentheses): activity 1: welcome a patient and explain the procedure. (20 minutes)activity 2: prep the patient (e.g., show them to the room, apply ultrasound gel). (17 minutes) (*your id number represents the amount of time needed to complete this task)activity 3: take images. (5 minutes)activity 4: discuss diagnostic with patient. (20 minutes)at each location there are employees (servers) s1, s2, and s3. the assignment of tasks to servers is the following: s1 does activities 1 and 2.s2 does activity 3.s3 does activity 4.a. what is the capacity of this process (in customers per hour)? b. suppose 3 patients arrive every hour on average. ignoring any “start of day” or “end of day” effects, what are the utilizations of all three servers (%)? c. suppose each activity can be done by any server and any server can do any set of activities. however, each activity is done by only one server. for example, a possible assignment includes: s1 does activity 1, s2 does activity 2, and s3 does activities 3 and 4. of course, the original assignment of servers to activities is also feasible. what is the maximum capacity of the process (in customers per hour)? d. now consider the capacity measures in (c) and (a), what is the percentage change? why can you improve capacity without using additional resources? (there is no free lunch, right? )note: for all hw assignments, show your process of getting the results. only providing the final answers is not acceptable and will get 0%. if necessary, use a separate sheet of paper to show your work.