$1.$ Sammy decides to buy a stock that pays an annual dividend of $$2\mathrm{.}16.$ Let us assume the interest rate is $4\mathrm{.}1\%.$ What is the PV of this? HINT: The maturity of a stock is considered infinite.

$2.$ Suppose that Sammy lent $$50,000$ to his friend. The friend pays him back $$15,500$ in year $1,$$$6,400$ in year $2,$$$15,000$ in year $3,$$$9,500$ in year $4,$ and $$14,000$ in year $5.$ The interest rate is $4\mathrm{.}25\%.$ What is the Present value of these cash flows? Is this a good deal for Sammy?

$3.$ Sammy's business has its ups and downs. Some years students buy more pizza than other years. Thus, Sammy makes the following contributions to his retirement fund: year $1$ $$8,500,$ year $2$ $$2,000,$ year $3$ $$7,600,$ year $4$ $$5,500,$ year $5$ $$10,200.$ The interest rate is $4\mathrm{.}15\%.$ What will the value of Sammy's retirement fund be in $5$ years?

$4.$ Sammy has an opportunity to invest $$28,000$ in a savings account that pays interest quarterly. The annual interest rate is $3\mathrm{.}75\%.$ How much will he have in his account after $12$ years?