f$.$ Find the PV of an ordinary annuity that pays $$1,000$ each of the next $6$ years if the interest rate is $13\%.$ Then find the FV of that same annulty. Round your answers to the nearest cent.

PV of ordinary annuity: $

FV of ordinary annuity: $

$9.$ How will the PV and FV of the annuity in part $f$ change if it is an annuity due rather than an ordinary annuity? Round your answers to the nearest cent.

PV of annuity due: $

FV of annuity due: $

h$.$ What will the FV and the PV for parts a and c br if the interest rate is $8\%$ with semiannual compounding rather than $8\%$ with annual compounding? Round your answers to the nearest cent.

FV with semiannual compounding: $

PV with semiannual compounding: $