S&P 500 index is 1,600, and the 3-month future price is 1,590. The 6-month futures price is 1580. The risk free rate is 2% (annual). What are the estimated dividends of the S&P500 index in the next three months? What are the estimated dividends of the S&P500 index in the next six months? What are the estimated dividends of the S&P500 index between the next three and six months? Show all calculations.

I = Dividends

So for the first question of this problem. The estimated dividends answer I got was: I = 17.93 [1590 = (1600-I)e^(2%*.25)]

For the second question of this problem. The estimated dividends answer I got was: I = 35.72 [1580 = (1600-I)e^(2%*.50)]

I am trying to figure out how the third part: What are the estimated dividends of the S&P500 index between the next three and six months? Show all calculations.