GOOG currently trades for $687 per share and pays a dividend of $9 in six months. The riskless rate of interest is 5% per year c.c. What is the fair value of a futures contract on GOOG maturing in 14 months?
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Present Value of Dividend = Dividend * e^(-r*t)
= 9 * e^(-0.05*0.5)
= 9 * 0.97530991202
= 8.78
Future Value of GOOG = (Current Price - Dividend) * e^(r*t)
r = 0.05
t = 14/12 = 1.166666666666
= (687 - 8.78) * e^(0.05*1.16666666666)
= 678.22 * 1.06006829292
= 718.96
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