It is now January 1, 3018. You are given: 

(i) The current price of the stock is 1,000. 

(ii) The stock pays dividends continuously at a rate proportional to its price. The dividend yield changes throughout the year. In March, June, September, and December, the dividend yield is 3%. In other months, the dividend yield is 2%. 

(iii) The continuously compounded risk-free interest rate is 9%

Calculate the price of a 1-year forward contract.