Calculate the price of a $$1$ million, $10\%$ bond with six years to maturity and with a current yield of:

$12\mathrm{.}5\%,$ paying coupons annually

$7\mathrm{.}5\%,$ paying coupons annually

$10\mathrm{.}5\%,$ paying coupons semi$-$annually

$9\mathrm{.}5\%,$ paying coupons semi$-$annually