Consider the following bond prices for bonds with annual coupons and face and redemption amounts of $$100$ each.

Coupon rate, Term to Maturity, Price :

$6\%2$yrs $97\mathrm{.}36,$

$6\%3$yrs $94\mathrm{.}97,$

$10\%3$yrs $105\mathrm{.}36$

Find the annual effective rates of interest for a one, two, and three year zero$-$coupon bonds