Consider a call option with an exercise price of $105 and one year to expiration. The underlying stock pays no dividends and its current price is $100. The (risk-neutral) probabilities are a 50% chance of the stock price increasing to $130 and a 50 % chance of the stock price falling to $80. The risk free rate of interest is 4.75 % (per period). Determine the value of the option using the one-period binomial option pricing model.