Futures price fair value = I + FC - DY
where I = stock index, FC = financing cost, DY = dividend yield
Thus, if the current level of the index is 100, the annual financing cost is 12 percent, and the dividend yield is 8 percent, the fair value of the futures price with 3 months (one-forth of a year) to maturity will be 100 + (1/4) * 100 * (0.12 - 0.08) = 101. Similarly, the fair value of the futures price with 6 months to maturity will be approximately 102 and the 9-month fair value approximately 103.
where I = stock index, FC = financing cost, DY = dividend yield
Thus, if the current level of the index is 100, the annual financing cost is 12 percent, and the dividend yield is 8 percent, the fair value of the futures price with 3 months (one-forth of a year) to maturity will be 100 + (1/4) * 100 * (0.12 - 0.08) = 101. Similarly, the fair value of the futures price with 6 months to maturity will be approximately 102 and the 9-month fair value approximately 103.