For problem 3, suppose that you only have $14,000 at your disposal in order to pay the required $20,000 in 12 months. you are still optimistic about finding an investment that offers a high enough interest rate to allow the payment. how high must the annual nominal interest rate be (compounded annually) so that you reach your goal?

What’s the present value of a perpetuity that pays $250 per year if the appropriate interest rate is 5%? $4,750 $5,000 $5,250 $5,513 $5,788what is the present value of the following cash flow stream at a rate of 8.0%, rounded to the nearest dollar? cash flows: today (t = 0) it is $750, after one year (t = 1) it is $2,450, at t = 2 it is $3,175, and at t=3 it is $4,400. draw a time line. $7,917 $8,333 $8,772 $9,233 $9,695

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.

Which of the following is true concerning the 5/5 lapse rule? a) the 5/5 lapse rule deems that a taxable gift has been made where a power to withdraw in excess of $5,000 or five percent of the trust assets is lapsed by the powerholder. b) the 5/5 lapse rule only comes into play with a single beneficiary trust. c) amounts that lapse under the 5/5 lapse rule qualify for the annual exclusion. d) gifts over the 5/5 lapse rule do not have to be disclosed on a gift tax return.