A stock price is currently $50$ and has a volatility of $25\%$ and a dividend yield of $2\%.$ The risk$-$free rate is $7\%.$ What is the value of a European six$-$month put option with a strike price of $52$ using a two$-$step tree?

Group of answer choices

$$3\mathrm{.}15$

$$3\mathrm{.}39$

$$3\mathrm{.}67$

$$3\mathrm{.}88$