$($i$)$ Suppose that the

$$ Stock price of a stock is $$59$

$$ Risk$-$free interest rate is $10\%$ per annum

$$ Exercise price of above stock is $$50$

$$ Price of a $3-$month European call option is $$3$

$$ Price of a $3-$month European put option is $$2\mathrm{.}25$

An arbitrage opportunity exists? If yes, calculate arbitrage profit if closing price of underlying is $$90$ on the day of expiry of option.