Which of the following problems can be solved using the future value of a lump sum formula introduced in this class?

a$.$

Scottie purchases a $10-$year certificate of deposit $($CD$)$ that pays $8\mathrm{.}8\%$ per annum compounded quarterly. He wishes to know how much he will have when the CD matures.

b$.$

OG must repay $ $5000$ in three years. Money is worth $16\%$ p$.$a$.$ compounded quarterly. He wishes to know how much he should pay to settle the debt today.

c$.$

Yuta is considering the purchase of a corporate bond promising to pay $$1,000$ five years from now. The going interest rate on $5-$year bonds is at $5\mathrm{.}5\%.$ He wishes to know how much he should pay for the bond.

d$.$

Chris is setting up a college fund for her niece. He wants her to have $$30,000$ in $10$ years. The college savings fund earns interest at a nominal rate of $4\mathrm{.}5\%$ convertible semi$-$annually. He wishes to know how much he should deposit in the fund today.

e$.$

Malachi owns a treasury bond that will pay $$2,500$ five years from now. The going interest rate on $5-$year treasury bonds is $5\mathrm{.}25\%.$ He wishes to know how much he should agree to sell the bond today.