Consider a European call option with the strike price of $90 that matures in 12 months from now. It is written on a stock that currently trades at $100 per share. Also assume that the continuously compounded annual interest rate is 5% and the underlying stock pays no dividends. What is the minimum bound for the price of this option that does not allow arbitrage opportunity? Express your answer to the nearest cents (e.g., write 3.85 if your answer is $3.8468).