You use the following information to construct a binomial forward tree for modeling the price movements of a nondividend-paying stock:

(i) The length of each period is 6 months.

(ii) The current stock price is 80.

(iii) The stock’s volatility is 30%.

(iv) The continuously compounded risk-free interest rate is 8%.

Calculate the price of a 1-year at-the-money geometric average price Asian European call option on the stock, with the average calculated based on ending 6-month stock prices (not including the initial stock price).