Please answer the following. Be sure to show ALL work for full credit. Also, you need to locate present value of a single sum, present value of an annuity; future value and future value of an annuity tables to perform these calculations.

$1.$ How much will an investor collect after $5$ years if $$1$ is deposited and compounded annually at $8\%?$

$2.$ Assuming $$500$ is invested annually for $8$ years garnering an average return of $12\%,$ how much is the account worth in $8$ years?

$3.$ Which is preferable: $4,500$ in cash or $1,200$ each year for $4$ years assuming a discount rate of $10$ per annum? $$

$4.$ You have a preferred stock paying an annual dividend of $$5,$ and the discount rate is ten percent, how much is it worth?