An investor decided to put $205,990 in a fund tracking the DJIA. The settlement price for the mini Dow maturing in December is 20599 while the Dow is at 20968 today. The average and standard deviation of the Dow returns are 7.88% and 10.87% respectively. Find how many futures contracts the investor should enter into, if any. Find the gains/losses for different mixes of mutual fund and futures.