True or false?

Q6: Historical volatility is always greater than Realized volatility. Q7: For any option (put or call, American or European), if volatility de- creases then time value decreases (or at least does not increase). Q8: Fat tails refers to the fact that in real life the probability of a large up move is smaller than the probability of a large down move.. Q9: Call delta is always greater than put delta (for otherwise identical options). Q10: An in the money option has zero intrinsic value. Q11: Delta is always negative for a bear spread. Q12: The replicating portfolio method of pricing options only works for non-dividend paying stocks. Q13: The time value of an American style option is always equal to the time value of an (otherwise equivalent) European style option. Q14: In a binomial tree, it is always true that pup > Pdn. Q15: If TFS pays a single dividend on Friday January 12th, then the earliest date one should exercise an American style call option is Thursday January 11th