A European call and a European put on a stodk have the same strike price and time to maturity. At $10$:$00$am on a certain day, the price of the call is $$3$ and the price of the put is $$4.$ At $10$:$01$ am news reaches the market that has no effect on the stock price or interest rates, but increases volatilities. As a result the price of the call changes to $$4\mathrm{.}50.$ Which of the following is correct?

a$.$ The put price decreases to $$2\mathrm{.}00$

b$.$ The put price increases to $$5\mathrm{.}50$

c$.$ It is possible that there is no effect on the put price

d$.$ The put price increases to $$6\mathrm{.}00$

Clear my choice