Consider an option on a dividend$-$paying stock when the stock price is $$30,$ the exercise price is

$$25,$ the risk$-$free interest rate is $5\%$ per annum, the volatility is $25\%$ per annum, and the time to

maturity is four months. Assume that the dividend is due in $1\mathrm{.}5$ months and the expected dividend

is $50$ cents. What is the price of the option if it is a European put?

a$.1\mathrm{.}12$

b$.1\mathrm{.}22$

c$.1\mathrm{.}86$

d$.2\mathrm{.}34$

e$.$ None