Karen needs $$1,000,000$ to retire in five years. There is a $5-$year annual coupon bond that has a YTM of

$12\mathrm{.}75\%$ and sells at par.

If Karen buys the bond and the YTM moves to $10\mathrm{.}75\%$ before the first coupon payment, how much money

will Karen have for retirement?

If Karen buys the bond and the YTM moves to $14\mathrm{.}75\%$ before the first coupon payment, how much money

will Karen have for retirement?