Find the present value of $$400$ due in the future under each of these conditions:

$9\%$ nominal rate, semiannual compounding, discounted back $9$ years. Do not round intermediate calculations. Round your answer to the nearest cent.

$

$9\%$ nominal rate, quarterly compounding, discounted back $9$ years. Do not round intermediate calculations. Round your answer to the nearest cent.

$

$9\%$ nominal rate, monthly compounding, discounted back $1$ year. Do not round intermediate calculations. Round your answer to the nearest cent.

$

Why do the differences in the PVs occur?

$-$Select$-$