Consider a stock with initial price $$34\mathrm{.}00$ and volatility of returns of $30\%.$ Suppose the risk$-$free rate is $4\mathrm{.}25\%.$ For options with one year to maturity, obtain $3($a$)$ the premiums for call options with strike prices of $$32\mathrm{.}00$ and $$30\mathrm{.}003($b$)$ the premiums for put options with strike prices of $$36\mathrm{.}00$ and $$35\mathrm{.}00.$ Comment on the option prices you obtain.