For a 10-period binomial stock price model, you are given:

(i) The length of each period is one year.

(ii) The current stock price is 1,000.

(iii) At the end of every year, the stock price will either increase by 5% or decrease by 5% in proportion.

(iv) The stock pays dividends continuously at a rate proportional to its price. The dividend yield is 1%.

(v) The continuously compounded risk-free interest rate is 2%.

Calculate the price of a 10-year 1,400-strike European call option on the stock.