q$5.$ An investment product will provide a cash flow of $$673$ at the end of each year for the following $18$ years. At a discount rate of $8$ percent, what does this investment worth to you today? Answer: $

q$6.$ If you purchase an investment at $$51,401$ today, in return, you will receive a$($n$)12$ percent, $20-$year annuity. What will the annual cash flow be$?$ Answer: $$\_\_\_\_\_\_$

q$7.$ Your bank account offers an annual interest rate of $7\mathrm{.}0\%$ that compounds monthly. What is the effective annual rate $($EAR$)$ for your account? Answer $\_\_\_\_\_\_\%$

q$\mathrm{.}8$ A family investment trust pays you and your heirs $$1,014$ per year forever. With an interest rate of $10\%,$ what is the fair value of this trust? Answer: $$\_\_\_\_\_\_$