Netflux is selling for $$105$ a share. A Netflux call option with one month until expiration and an exercise price of $$118$ sells for $$2\mathrm{.}50$ while a put with the same strike and expiration sells for $$15\mathrm{.}10.$

a$.$ What is the market price of a zero$-$coupon bond with face value $$118$ and $1-$month maturity? $($Round your answer to $2$ decimal places.$)$

b$.$ What is the risk$-$free interest rate expressed as an effective annual yield? $($Round your answer to $2$ decimal places.$)$