Problem $5-24$ Present value for various discounting periods Find the present value of $$800$ due in the future under each of these conditions: $6\%$ nominal rate, semiannual compounding, discounted back $9$ years. Round your answer to the nearest cent. $ $6\%$ nominal rate, quarterly compounding, discounted back $9$ years. Round your answer to the nearest cent. $ $6\%$ nominal rate, monthly compounding, discounted back $1$ year. Round your answer to the nearest cent. $ Why do the differences in the PVs occur?