An institutional investor purchases $$10,000$ worth of three$-$year TIPS. The annual coupon rate on the note is $1\mathrm{.}5\%.$ Six months later inflation increases by $1\%.$ The new inflation$-$adjusted bond price and annual coupon payment are:

Bond price $=$$$10,100$; coupon payment $=$$$151\mathrm{.}50$

Bond price $=$$$10,000$; coupon payment $=$$$150\mathrm{.}00$

Bond price $=$$$10,150$; coupon payment $=$$$101\mathrm{.}50$

Bond price $=$$$10,100$; coupon payment $=$$$150\mathrm{.}00$