Calculate the present value of the following annuity streams: a. $5,000 received each year for five years on the last day of each year if your investments pay 6 percent compounded annually.

b. $5,000 received each quarter for five years on the last day of each quarter if your investments pay 6 percent compounded quarterly.

c. $5,000 received each year for five years on the first day of each year if your investments pay 6 percent compounded annually.

d. $5,000 received each quarter for five years on the first day of each quarter if your investments pay 6 percent compounded quarterly.

Jewelry manufacturers produce a range of products such as rings, necklaces, bracelets, and brooches. what fundamental economic question are they addressing by offering this range of items?

Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.

Hundreds of a bank's customers have called the customer service call center to complain that they are receiving text messages on their phone telling them to access a website and enter personal information to resolve an issue with their account. what action should the bank take?